0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.205 * * * [progress]: [2/2] Setting up program. 0.214 * [progress]: [Phase 2 of 3] Improving. 0.214 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.214 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.214 * * [simplify]: iteration 1: (17 enodes) 0.224 * * [simplify]: iteration 2: (70 enodes) 0.267 * * [simplify]: iteration 3: (126 enodes) 0.294 * * [simplify]: iteration 4: (281 enodes) 0.425 * * [simplify]: iteration 5: (745 enodes) 0.979 * * [simplify]: Extracting #0: cost 1 inf + 0 0.979 * * [simplify]: Extracting #1: cost 16 inf + 0 0.979 * * [simplify]: Extracting #2: cost 28 inf + 2 0.980 * * [simplify]: Extracting #3: cost 32 inf + 86 0.981 * * [simplify]: Extracting #4: cost 215 inf + 131 0.987 * * [simplify]: Extracting #5: cost 479 inf + 6848 1.006 * * [simplify]: Extracting #6: cost 224 inf + 67264 1.050 * * [simplify]: Extracting #7: cost 62 inf + 120847 1.097 * * [simplify]: Extracting #8: cost 10 inf + 148694 1.144 * * [simplify]: Extracting #9: cost 0 inf + 154484 1.208 * [simplify]: Simplified to: (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1.225 * * [progress]: iteration 1 / 4 1.225 * * * [progress]: picking best candidate 1.232 * * * * [pick]: Picked # 1.232 * * * [progress]: localizing error 1.287 * * * [progress]: generating rewritten candidates 1.287 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.454 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.811 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.950 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 1.973 * * * [progress]: generating series expansions 1.973 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.973 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 1.974 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 1.974 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.974 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.974 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.974 * [taylor]: Taking taylor expansion of 1/4 in K 1.974 * [backup-simplify]: Simplify 1/4 into 1/4 1.974 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.974 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.974 * [taylor]: Taking taylor expansion of U in K 1.974 * [backup-simplify]: Simplify U into U 1.974 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.974 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.974 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.974 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.974 * [taylor]: Taking taylor expansion of 1/2 in K 1.974 * [backup-simplify]: Simplify 1/2 into 1/2 1.974 * [taylor]: Taking taylor expansion of K in K 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.975 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.975 * [taylor]: Taking taylor expansion of J in K 1.975 * [backup-simplify]: Simplify J into J 1.975 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.975 * [backup-simplify]: Simplify (* 1 1) into 1 1.975 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.975 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.975 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.975 * [taylor]: Taking taylor expansion of 1 in K 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.976 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.976 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.976 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.976 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.976 * [backup-simplify]: Simplify (+ 0) into 0 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.977 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.978 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.978 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.978 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.978 * [taylor]: Taking taylor expansion of 1/4 in J 1.978 * [backup-simplify]: Simplify 1/4 into 1/4 1.978 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.978 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.978 * [taylor]: Taking taylor expansion of U in J 1.978 * [backup-simplify]: Simplify U into U 1.978 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.978 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.978 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.978 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.978 * [taylor]: Taking taylor expansion of 1/2 in J 1.978 * [backup-simplify]: Simplify 1/2 into 1/2 1.978 * [taylor]: Taking taylor expansion of K in J 1.978 * [backup-simplify]: Simplify K into K 1.978 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.978 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.978 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.978 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.978 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.979 * [backup-simplify]: Simplify (- 0) into 0 1.979 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.979 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.979 * [taylor]: Taking taylor expansion of J in J 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.979 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.979 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.979 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.979 * [taylor]: Taking taylor expansion of 1 in J 1.979 * [backup-simplify]: Simplify 1 into 1 1.980 * [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))) 1.980 * [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))) 1.980 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.980 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.981 * [backup-simplify]: Simplify (+ 0) into 0 1.981 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.982 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.982 * [backup-simplify]: Simplify (- 0) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.983 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.983 * [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 1.983 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (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 U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.984 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.984 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 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 U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 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 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.984 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.984 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.984 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.984 * [taylor]: Taking taylor expansion of 1/2 in U 1.984 * [backup-simplify]: Simplify 1/2 into 1/2 1.984 * [taylor]: Taking taylor expansion of K in U 1.984 * [backup-simplify]: Simplify K into K 1.984 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.984 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.984 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.984 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.984 * [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 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.985 * [taylor]: Taking taylor expansion of J in U 1.985 * [backup-simplify]: Simplify J into J 1.985 * [backup-simplify]: Simplify (* 1 1) into 1 1.985 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.985 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.985 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.985 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.985 * [taylor]: Taking taylor expansion of 1 in U 1.985 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (+ 0 1) into 1 1.986 * [backup-simplify]: Simplify (sqrt 1) into 1 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.987 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.987 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.987 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.987 * [taylor]: Taking taylor expansion of 1/4 in U 1.987 * [backup-simplify]: Simplify 1/4 into 1/4 1.987 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.987 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.987 * [taylor]: Taking taylor expansion of U in U 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.987 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.987 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.987 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.987 * [taylor]: Taking taylor expansion of 1/2 in U 1.987 * [backup-simplify]: Simplify 1/2 into 1/2 1.987 * [taylor]: Taking taylor expansion of K in U 1.987 * [backup-simplify]: Simplify K into K 1.987 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.987 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.987 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.987 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.987 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.987 * [backup-simplify]: Simplify (- 0) into 0 1.987 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.987 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.987 * [taylor]: Taking taylor expansion of J in U 1.987 * [backup-simplify]: Simplify J into J 1.988 * [backup-simplify]: Simplify (* 1 1) into 1 1.988 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.988 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.988 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.988 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.988 * [taylor]: Taking taylor expansion of 1 in U 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (+ 0 1) into 1 1.988 * [backup-simplify]: Simplify (sqrt 1) into 1 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.989 * [taylor]: Taking taylor expansion of 1 in J 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [taylor]: Taking taylor expansion of 0 in J 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [taylor]: Taking taylor expansion of 1 in K 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify 1 into 1 1.990 * [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))) 1.990 * [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)))) 1.991 * [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))) 1.991 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.991 * [taylor]: Taking taylor expansion of 1/8 in J 1.991 * [backup-simplify]: Simplify 1/8 into 1/8 1.991 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.991 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.991 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.991 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.992 * [taylor]: Taking taylor expansion of 1/2 in J 1.992 * [backup-simplify]: Simplify 1/2 into 1/2 1.992 * [taylor]: Taking taylor expansion of K in J 1.992 * [backup-simplify]: Simplify K into K 1.992 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.992 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.992 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.992 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.992 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.992 * [backup-simplify]: Simplify (- 0) into 0 1.992 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.992 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.993 * [taylor]: Taking taylor expansion of J in J 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.993 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.993 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (+ 0) into 0 1.995 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.996 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.997 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.997 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.997 * [taylor]: Taking taylor expansion of 0 in K 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [taylor]: Taking taylor expansion of 0 in K 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [taylor]: Taking taylor expansion of 0 in K 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.998 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.998 * [backup-simplify]: Simplify (+ 0) into 0 1.998 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.999 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.999 * [backup-simplify]: Simplify (- 0) into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.000 * [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 2.001 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 2.002 * [taylor]: Taking taylor expansion of 0 in J 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.003 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.007 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.008 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.008 * [backup-simplify]: Simplify (- 0) into 0 2.008 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.009 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.009 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.009 * [taylor]: Taking taylor expansion of 0 in K 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [taylor]: Taking taylor expansion of 0 in K 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 2.010 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 2.010 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 2.010 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 2.010 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.010 * [taylor]: Taking taylor expansion of 1/4 in K 2.010 * [backup-simplify]: Simplify 1/4 into 1/4 2.010 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.010 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.010 * [taylor]: Taking taylor expansion of J in K 2.010 * [backup-simplify]: Simplify J into J 2.010 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.010 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.010 * [taylor]: Taking taylor expansion of U in K 2.010 * [backup-simplify]: Simplify U into U 2.010 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.010 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.010 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.010 * [taylor]: Taking taylor expansion of 1/2 in K 2.010 * [backup-simplify]: Simplify 1/2 into 1/2 2.010 * [taylor]: Taking taylor expansion of K in K 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.011 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.011 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.011 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.011 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.011 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.011 * [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))) 2.011 * [taylor]: Taking taylor expansion of 1 in K 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [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)))) 2.011 * [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) 2.012 * [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)) 2.012 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.012 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.012 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.012 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.012 * [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 2.013 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 2.013 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.013 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.013 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.013 * [taylor]: Taking taylor expansion of 1/4 in J 2.013 * [backup-simplify]: Simplify 1/4 into 1/4 2.013 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.013 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.013 * [taylor]: Taking taylor expansion of J in J 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.013 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.013 * [taylor]: Taking taylor expansion of U in J 2.013 * [backup-simplify]: Simplify U into U 2.013 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.013 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.013 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.013 * [taylor]: Taking taylor expansion of 1/2 in J 2.013 * [backup-simplify]: Simplify 1/2 into 1/2 2.013 * [taylor]: Taking taylor expansion of K in J 2.013 * [backup-simplify]: Simplify K into K 2.014 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.014 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.014 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.014 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.014 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.014 * [backup-simplify]: Simplify (- 0) into 0 2.014 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.014 * [backup-simplify]: Simplify (* 1 1) into 1 2.014 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.014 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.014 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.015 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.015 * [taylor]: Taking taylor expansion of 1 in J 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (+ 0 1) 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.016 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.016 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.016 * [taylor]: Taking taylor expansion of 1/4 in U 2.016 * [backup-simplify]: Simplify 1/4 into 1/4 2.016 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.016 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.016 * [taylor]: Taking taylor expansion of J in U 2.016 * [backup-simplify]: Simplify J into J 2.016 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.016 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.016 * [taylor]: Taking taylor expansion of U in U 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.016 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.016 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.016 * [taylor]: Taking taylor expansion of 1/2 in U 2.016 * [backup-simplify]: Simplify 1/2 into 1/2 2.016 * [taylor]: Taking taylor expansion of K in U 2.016 * [backup-simplify]: Simplify K into K 2.016 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.016 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.016 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.016 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.016 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.017 * [backup-simplify]: Simplify (- 0) into 0 2.017 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.017 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.017 * [backup-simplify]: Simplify (* 1 1) into 1 2.017 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.017 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.017 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.017 * [taylor]: Taking taylor expansion of 1 in U 2.017 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.018 * [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))) 2.018 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.018 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.018 * [backup-simplify]: Simplify (+ 0) into 0 2.018 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.018 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.019 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.019 * [backup-simplify]: Simplify (- 0) into 0 2.020 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.021 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.021 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.021 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.022 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.022 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 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 U 2) (pow (cos (/ 1/2 K)) 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 U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.022 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.022 * [taylor]: Taking taylor expansion of U in U 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 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)) 2.022 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.022 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.022 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.022 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.023 * [backup-simplify]: Simplify (* 1 1) into 1 2.023 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.023 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.023 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.023 * [taylor]: Taking taylor expansion of 1 in U 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.023 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.023 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.024 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.024 * [backup-simplify]: Simplify (+ 0) into 0 2.024 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.024 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.025 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.025 * [backup-simplify]: Simplify (- 0) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.028 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 2.029 * [taylor]: Taking taylor expansion of 1/2 in J 2.029 * [backup-simplify]: Simplify 1/2 into 1/2 2.029 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 2.029 * [taylor]: Taking taylor expansion of J in J 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.029 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.029 * [taylor]: Taking taylor expansion of 1/2 in J 2.029 * [backup-simplify]: Simplify 1/2 into 1/2 2.029 * [taylor]: Taking taylor expansion of K in J 2.029 * [backup-simplify]: Simplify K into K 2.029 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.029 * [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)) 2.030 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.030 * [backup-simplify]: Simplify (- 0) into 0 2.030 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.030 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 2.030 * [taylor]: Taking taylor expansion of 0 in J 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [taylor]: Taking taylor expansion of 0 in K 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 2.031 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 2.031 * [taylor]: Taking taylor expansion of 1/2 in K 2.031 * [backup-simplify]: Simplify 1/2 into 1/2 2.031 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.031 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.031 * [taylor]: Taking taylor expansion of 1/2 in K 2.031 * [backup-simplify]: Simplify 1/2 into 1/2 2.031 * [taylor]: Taking taylor expansion of K in K 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.032 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.032 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 2.032 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 2.032 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.033 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.034 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.034 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.035 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.035 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.036 * [backup-simplify]: Simplify (- 0) into 0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.039 * [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 2.040 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.041 * [backup-simplify]: Simplify (+ 0 1) into 1 2.042 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 2.042 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.042 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.042 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.042 * [taylor]: Taking taylor expansion of 1/2 in J 2.042 * [backup-simplify]: Simplify 1/2 into 1/2 2.042 * [taylor]: Taking taylor expansion of K in J 2.042 * [backup-simplify]: Simplify K into K 2.042 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.042 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.042 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.042 * [taylor]: Taking taylor expansion of J in J 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.043 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.043 * [backup-simplify]: Simplify (- 0) into 0 2.043 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.043 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.044 * [backup-simplify]: Simplify (+ 0) into 0 2.044 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.046 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.046 * [backup-simplify]: Simplify (- 0) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.048 * [taylor]: Taking taylor expansion of 0 in K 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [taylor]: Taking taylor expansion of 0 in K 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (+ 0) into 0 2.049 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.049 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.050 * [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 * [taylor]: Taking taylor expansion of 0 in K 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.054 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.055 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.056 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.057 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.058 * [backup-simplify]: Simplify (- 0) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.062 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 2.064 * [taylor]: Taking taylor expansion of 0 in J 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [taylor]: Taking taylor expansion of 0 in K 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.065 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 2.065 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 2.065 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 2.065 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 2.065 * [taylor]: Taking taylor expansion of 1 in K 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.065 * [taylor]: Taking taylor expansion of 1/4 in K 2.065 * [backup-simplify]: Simplify 1/4 into 1/4 2.065 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.065 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.065 * [taylor]: Taking taylor expansion of J in K 2.065 * [backup-simplify]: Simplify J into J 2.065 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.065 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.065 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.065 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.065 * [taylor]: Taking taylor expansion of -1/2 in K 2.065 * [backup-simplify]: Simplify -1/2 into -1/2 2.065 * [taylor]: Taking taylor expansion of K in K 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.066 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.066 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.066 * [taylor]: Taking taylor expansion of U in K 2.066 * [backup-simplify]: Simplify U into U 2.066 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.066 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.066 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.067 * [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))) 2.067 * [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)))) 2.067 * [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))))) 2.068 * [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)))))) 2.068 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.068 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.069 * [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 2.070 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 2.070 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.070 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.070 * [taylor]: Taking taylor expansion of 1 in J 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.071 * [taylor]: Taking taylor expansion of 1/4 in J 2.071 * [backup-simplify]: Simplify 1/4 into 1/4 2.071 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.071 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.071 * [taylor]: Taking taylor expansion of J in J 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.071 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.071 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.071 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.071 * [taylor]: Taking taylor expansion of -1/2 in J 2.071 * [backup-simplify]: Simplify -1/2 into -1/2 2.071 * [taylor]: Taking taylor expansion of K in J 2.071 * [backup-simplify]: Simplify K into K 2.071 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.071 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.071 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.071 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.071 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.072 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.072 * [taylor]: Taking taylor expansion of U in J 2.072 * [backup-simplify]: Simplify U into U 2.072 * [backup-simplify]: Simplify (* 1 1) into 1 2.072 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.072 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.073 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.073 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.073 * [backup-simplify]: Simplify (+ 1 0) into 1 2.074 * [backup-simplify]: Simplify (sqrt 1) into 1 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.075 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.075 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.075 * [taylor]: Taking taylor expansion of 1 in U 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.075 * [taylor]: Taking taylor expansion of 1/4 in U 2.075 * [backup-simplify]: Simplify 1/4 into 1/4 2.075 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.075 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.075 * [taylor]: Taking taylor expansion of J in U 2.075 * [backup-simplify]: Simplify J into J 2.075 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.075 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.075 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.075 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.075 * [taylor]: Taking taylor expansion of -1/2 in U 2.075 * [backup-simplify]: Simplify -1/2 into -1/2 2.075 * [taylor]: Taking taylor expansion of K in U 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)) 2.076 * [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 U 2) in U 2.076 * [taylor]: Taking taylor expansion of U in U 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.076 * [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 J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.077 * [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))) 2.078 * [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))) 2.078 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.078 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) 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 (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.080 * [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 J 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 J 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 J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.084 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.084 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.084 * [taylor]: Taking taylor expansion of 1 in U 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.084 * [taylor]: Taking taylor expansion of 1/4 in U 2.084 * [backup-simplify]: Simplify 1/4 into 1/4 2.084 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.084 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.084 * [taylor]: Taking taylor expansion of J in U 2.084 * [backup-simplify]: Simplify J into J 2.084 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.084 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.084 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.084 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.084 * [taylor]: Taking taylor expansion of -1/2 in U 2.084 * [backup-simplify]: Simplify -1/2 into -1/2 2.084 * [taylor]: Taking taylor expansion of K in U 2.084 * [backup-simplify]: Simplify K into K 2.085 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.085 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.085 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.085 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.085 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.085 * [backup-simplify]: Simplify (- 0) into 0 2.085 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.085 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.085 * [taylor]: Taking taylor expansion of U in U 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.086 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.086 * [backup-simplify]: Simplify (* 1 1) into 1 2.086 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.086 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.086 * [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))) 2.087 * [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))) 2.087 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.087 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.088 * [backup-simplify]: Simplify (+ 0) into 0 2.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.089 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.091 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.092 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.092 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.093 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 2.093 * [taylor]: Taking taylor expansion of 1/2 in J 2.093 * [backup-simplify]: Simplify 1/2 into 1/2 2.093 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 2.093 * [taylor]: Taking taylor expansion of J in J 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.094 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.094 * [taylor]: Taking taylor expansion of -1/2 in J 2.094 * [backup-simplify]: Simplify -1/2 into -1/2 2.094 * [taylor]: Taking taylor expansion of K in J 2.094 * [backup-simplify]: Simplify K into K 2.094 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.094 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.094 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.094 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.095 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.095 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 2.095 * [taylor]: Taking taylor expansion of 0 in J 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [taylor]: Taking taylor expansion of 0 in K 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 2.095 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 2.095 * [taylor]: Taking taylor expansion of 1/2 in K 2.095 * [backup-simplify]: Simplify 1/2 into 1/2 2.095 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.095 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.095 * [taylor]: Taking taylor expansion of -1/2 in K 2.095 * [backup-simplify]: Simplify -1/2 into -1/2 2.095 * [taylor]: Taking taylor expansion of K in K 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.096 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.096 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 2.096 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 2.096 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.100 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.100 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.101 * [backup-simplify]: Simplify (- 0) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.102 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.103 * [backup-simplify]: 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 2.104 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.104 * [backup-simplify]: Simplify (+ 1 0) into 1 2.106 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 2.106 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.106 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.106 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.106 * [taylor]: Taking taylor expansion of -1/2 in J 2.106 * [backup-simplify]: Simplify -1/2 into -1/2 2.106 * [taylor]: Taking taylor expansion of K in J 2.106 * [backup-simplify]: Simplify K into K 2.106 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.106 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.106 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.106 * [taylor]: Taking taylor expansion of J in J 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.106 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.107 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.107 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.107 * [backup-simplify]: Simplify (+ 0) into 0 2.108 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.108 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.109 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.110 * [backup-simplify]: Simplify (- 0) into 0 2.110 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.111 * [taylor]: Taking taylor expansion of 0 in K 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [taylor]: Taking taylor expansion of 0 in K 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 0 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 2.113 * [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 2.114 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 2.115 * [taylor]: Taking taylor expansion of 0 in K 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.119 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.121 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.122 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.122 * [backup-simplify]: Simplify (- 0) into 0 2.123 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.124 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.126 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.127 * [taylor]: Taking taylor expansion of 0 in J 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [taylor]: Taking taylor expansion of 0 in K 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.128 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.128 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 2.128 * [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 (U J K) around 0 2.128 * [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 2.128 * [taylor]: Taking taylor expansion of -2 in K 2.128 * [backup-simplify]: Simplify -2 into -2 2.128 * [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 2.128 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.128 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.128 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.128 * [taylor]: Taking taylor expansion of 1/2 in K 2.128 * [backup-simplify]: Simplify 1/2 into 1/2 2.128 * [taylor]: Taking taylor expansion of K in K 2.128 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.130 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.130 * [taylor]: Taking taylor expansion of J in K 2.130 * [backup-simplify]: Simplify J into J 2.130 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 2.130 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 2.130 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.130 * [taylor]: Taking taylor expansion of 1/4 in K 2.130 * [backup-simplify]: Simplify 1/4 into 1/4 2.130 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.130 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.130 * [taylor]: Taking taylor expansion of U in K 2.130 * [backup-simplify]: Simplify U into U 2.130 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.130 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.130 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.130 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.130 * [taylor]: Taking taylor expansion of 1/2 in K 2.130 * [backup-simplify]: Simplify 1/2 into 1/2 2.130 * [taylor]: Taking taylor expansion of K in K 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.131 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.131 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.131 * [taylor]: Taking taylor expansion of J in K 2.131 * [backup-simplify]: Simplify J into J 2.132 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.132 * [backup-simplify]: Simplify (* 1 1) into 1 2.132 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.132 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.132 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.132 * [taylor]: Taking taylor expansion of 1 in K 2.132 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 2.133 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2.133 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 2.133 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.133 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.133 * [backup-simplify]: Simplify (+ 0) into 0 2.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.135 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 2.135 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 2.136 * [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 2.136 * [taylor]: Taking taylor expansion of -2 in J 2.136 * [backup-simplify]: Simplify -2 into -2 2.136 * [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 2.136 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.136 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.136 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.136 * [taylor]: Taking taylor expansion of 1/2 in J 2.136 * [backup-simplify]: Simplify 1/2 into 1/2 2.136 * [taylor]: Taking taylor expansion of K in J 2.136 * [backup-simplify]: Simplify K into K 2.137 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.137 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.137 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.137 * [taylor]: Taking taylor expansion of J in J 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.137 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.137 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.137 * [taylor]: Taking taylor expansion of 1/4 in J 2.137 * [backup-simplify]: Simplify 1/4 into 1/4 2.137 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.137 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.137 * [taylor]: Taking taylor expansion of U in J 2.137 * [backup-simplify]: Simplify U into U 2.137 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.137 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.137 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.137 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.137 * [taylor]: Taking taylor expansion of 1/2 in J 2.137 * [backup-simplify]: Simplify 1/2 into 1/2 2.137 * [taylor]: Taking taylor expansion of K in J 2.137 * [backup-simplify]: Simplify K into K 2.137 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.137 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.137 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.138 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.138 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.138 * [backup-simplify]: Simplify (- 0) into 0 2.138 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.138 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.138 * [taylor]: Taking taylor expansion of J in J 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.138 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.139 * [backup-simplify]: Simplify (* 1 1) into 1 2.139 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.139 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.139 * [taylor]: Taking taylor expansion of 1 in J 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [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))) 2.140 * [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))) 2.140 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.140 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.141 * [backup-simplify]: Simplify (+ 0) into 0 2.141 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.143 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.144 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [backup-simplify]: Simplify (+ 0 0) into 0 2.146 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.146 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.147 * [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 2.148 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.148 * [backup-simplify]: Simplify (+ 0 0) into 0 2.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.148 * [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 2.148 * [taylor]: Taking taylor expansion of -2 in U 2.148 * [backup-simplify]: Simplify -2 into -2 2.148 * [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 2.148 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 2.148 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.148 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.148 * [taylor]: Taking taylor expansion of 1/2 in U 2.148 * [backup-simplify]: Simplify 1/2 into 1/2 2.148 * [taylor]: Taking taylor expansion of K in U 2.148 * [backup-simplify]: Simplify K into K 2.149 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.149 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.149 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.149 * [taylor]: Taking taylor expansion of J in U 2.149 * [backup-simplify]: Simplify J into J 2.149 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.149 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.149 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.149 * [taylor]: Taking taylor expansion of 1/4 in U 2.149 * [backup-simplify]: Simplify 1/4 into 1/4 2.149 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.149 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.149 * [taylor]: Taking taylor expansion of U in U 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.149 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.149 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.149 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.149 * [taylor]: Taking taylor expansion of 1/2 in U 2.149 * [backup-simplify]: Simplify 1/2 into 1/2 2.149 * [taylor]: Taking taylor expansion of K in U 2.149 * [backup-simplify]: Simplify K into K 2.149 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.149 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.149 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.149 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.150 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.150 * [backup-simplify]: Simplify (- 0) into 0 2.150 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.150 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.150 * [taylor]: Taking taylor expansion of J in U 2.150 * [backup-simplify]: Simplify J into J 2.150 * [backup-simplify]: Simplify (* 1 1) into 1 2.151 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.151 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.151 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.151 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.151 * [taylor]: Taking taylor expansion of 1 in U 2.151 * [backup-simplify]: Simplify 1 into 1 2.151 * [backup-simplify]: Simplify (+ 0 1) into 1 2.152 * [backup-simplify]: Simplify (sqrt 1) into 1 2.152 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.153 * [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 2.153 * [taylor]: Taking taylor expansion of -2 in U 2.153 * [backup-simplify]: Simplify -2 into -2 2.153 * [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 2.153 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 2.153 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.153 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.153 * [taylor]: Taking taylor expansion of 1/2 in U 2.153 * [backup-simplify]: Simplify 1/2 into 1/2 2.153 * [taylor]: Taking taylor expansion of K in U 2.153 * [backup-simplify]: Simplify K into K 2.153 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.153 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.153 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.153 * [taylor]: Taking taylor expansion of J in U 2.153 * [backup-simplify]: Simplify J into J 2.153 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.153 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.154 * [taylor]: Taking taylor expansion of 1/4 in U 2.154 * [backup-simplify]: Simplify 1/4 into 1/4 2.154 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.154 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.154 * [taylor]: Taking taylor expansion of U in U 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.154 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.154 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.154 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.154 * [taylor]: Taking taylor expansion of 1/2 in U 2.154 * [backup-simplify]: Simplify 1/2 into 1/2 2.154 * [taylor]: Taking taylor expansion of K in U 2.154 * [backup-simplify]: Simplify K into K 2.154 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.154 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.154 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.154 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.154 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.154 * [backup-simplify]: Simplify (- 0) into 0 2.154 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.154 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.154 * [taylor]: Taking taylor expansion of J in U 2.154 * [backup-simplify]: Simplify J into J 2.155 * [backup-simplify]: Simplify (* 1 1) into 1 2.155 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.155 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.155 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.155 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.155 * [taylor]: Taking taylor expansion of 1 in U 2.155 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (+ 0 1) into 1 2.155 * [backup-simplify]: Simplify (sqrt 1) into 1 2.156 * [backup-simplify]: Simplify (+ 0 0) into 0 2.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 2.157 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.157 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 2.157 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 2.157 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 2.157 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 2.157 * [taylor]: Taking taylor expansion of -2 in J 2.157 * [backup-simplify]: Simplify -2 into -2 2.157 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.157 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.157 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.157 * [taylor]: Taking taylor expansion of 1/2 in J 2.157 * [backup-simplify]: Simplify 1/2 into 1/2 2.157 * [taylor]: Taking taylor expansion of K in J 2.157 * [backup-simplify]: Simplify K into K 2.157 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.157 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.157 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.157 * [taylor]: Taking taylor expansion of J in J 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 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 (+ (* 1/2 0) (* 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 2.159 * [backup-simplify]: Simplify (+ 0 0) into 0 2.159 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 2.160 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 2.160 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 2.160 * [taylor]: Taking taylor expansion of 0 in J 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.160 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.160 * [backup-simplify]: Simplify (- 0) into 0 2.160 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.160 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.161 * [backup-simplify]: Simplify (* -2 0) into 0 2.161 * [taylor]: Taking taylor expansion of 0 in K 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [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))) 2.161 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.162 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.163 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.164 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.164 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.164 * [backup-simplify]: Simplify (- 0) into 0 2.165 * [backup-simplify]: Simplify (+ 0 0) into 0 2.165 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 2.166 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 2.166 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 2.166 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 2.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 2.166 * [taylor]: Taking taylor expansion of 1/4 in J 2.166 * [backup-simplify]: Simplify 1/4 into 1/4 2.166 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 2.166 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.166 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.166 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.166 * [taylor]: Taking taylor expansion of 1/2 in J 2.166 * [backup-simplify]: Simplify 1/2 into 1/2 2.166 * [taylor]: Taking taylor expansion of K in J 2.166 * [backup-simplify]: Simplify K into K 2.166 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.166 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.166 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.166 * [taylor]: Taking taylor expansion of J in J 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.167 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.167 * [backup-simplify]: Simplify (- 0) into 0 2.167 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.167 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.167 * [backup-simplify]: Simplify (+ 0) into 0 2.167 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.169 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.169 * [backup-simplify]: Simplify (- 0) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.169 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 2.170 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 2.171 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 2.171 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 2.171 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 2.171 * [taylor]: Taking taylor expansion of 1/4 in K 2.171 * [backup-simplify]: Simplify 1/4 into 1/4 2.171 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 2.171 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.171 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.171 * [taylor]: Taking taylor expansion of 1/2 in K 2.171 * [backup-simplify]: Simplify 1/2 into 1/2 2.171 * [taylor]: Taking taylor expansion of K in K 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.171 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.172 * [backup-simplify]: Simplify (/ 1 1) into 1 2.172 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 2.172 * [backup-simplify]: Simplify (- 1/4) into -1/4 2.172 * [backup-simplify]: Simplify -1/4 into -1/4 2.172 * [taylor]: Taking taylor expansion of 0 in K 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (+ 0) into 0 2.173 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.174 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.174 * [backup-simplify]: Simplify (- 0) into 0 2.174 * [backup-simplify]: Simplify (+ 0 0) into 0 2.175 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.175 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 2.175 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 2.175 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 2.175 * [taylor]: Taking taylor expansion of 2 in K 2.175 * [backup-simplify]: Simplify 2 into 2 2.175 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.175 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.175 * [taylor]: Taking taylor expansion of 1/2 in K 2.175 * [backup-simplify]: Simplify 1/2 into 1/2 2.175 * [taylor]: Taking taylor expansion of K in K 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.176 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.176 * [backup-simplify]: Simplify (* 2 1) into 2 2.176 * [backup-simplify]: Simplify (- 2) into -2 2.176 * [backup-simplify]: Simplify -2 into -2 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.177 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.177 * [backup-simplify]: Simplify (+ 0) into 0 2.178 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.179 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.179 * [backup-simplify]: Simplify (- 0) into 0 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.179 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.179 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.180 * [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 2.180 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.180 * [backup-simplify]: Simplify (+ 0 0) into 0 2.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 2.181 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.182 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.184 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 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 (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.185 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 2.186 * [taylor]: Taking taylor expansion of 0 in J 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.187 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.188 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.188 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.188 * [backup-simplify]: Simplify (- 0) into 0 2.189 * [backup-simplify]: Simplify (+ 0 0) into 0 2.189 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 2.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 2.190 * [backup-simplify]: Simplify (- 0) into 0 2.190 * [taylor]: Taking taylor expansion of 0 in K 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [taylor]: Taking taylor expansion of 0 in K 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.191 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.192 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.192 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.192 * [backup-simplify]: Simplify (- 0) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.194 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 2.194 * [taylor]: Taking taylor expansion of 0 in K 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (+ 0) into 0 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 2.195 * [backup-simplify]: Simplify (- 0) into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 2.196 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 2.196 * [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 (U J K) around 0 2.196 * [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 2.196 * [taylor]: Taking taylor expansion of -2 in K 2.196 * [backup-simplify]: Simplify -2 into -2 2.196 * [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 2.196 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 2.196 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 2.196 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.196 * [taylor]: Taking taylor expansion of 1/4 in K 2.196 * [backup-simplify]: Simplify 1/4 into 1/4 2.196 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.196 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.196 * [taylor]: Taking taylor expansion of J in K 2.196 * [backup-simplify]: Simplify J into J 2.196 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.196 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.196 * [taylor]: Taking taylor expansion of U in K 2.196 * [backup-simplify]: Simplify U into U 2.196 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.196 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.196 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.196 * [taylor]: Taking taylor expansion of 1/2 in K 2.196 * [backup-simplify]: Simplify 1/2 into 1/2 2.196 * [taylor]: Taking taylor expansion of K in K 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [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 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.197 * [backup-simplify]: Simplify (* U U) into (pow U 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.197 * [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))) 2.197 * [taylor]: Taking taylor expansion of 1 in K 2.197 * [backup-simplify]: Simplify 1 into 1 2.197 * [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)))) 2.197 * [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) 2.198 * [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)) 2.198 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.198 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.198 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.198 * [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 2.199 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 2.199 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.199 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.199 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.199 * [taylor]: Taking taylor expansion of 1/2 in K 2.199 * [backup-simplify]: Simplify 1/2 into 1/2 2.199 * [taylor]: Taking taylor expansion of K in K 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 1 into 1 2.200 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.200 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.200 * [taylor]: Taking taylor expansion of J in K 2.200 * [backup-simplify]: Simplify J into J 2.200 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.200 * [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 2.200 * [taylor]: Taking taylor expansion of -2 in J 2.200 * [backup-simplify]: Simplify -2 into -2 2.200 * [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 2.200 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.200 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.200 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.200 * [taylor]: Taking taylor expansion of 1/4 in J 2.200 * [backup-simplify]: Simplify 1/4 into 1/4 2.200 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.200 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.200 * [taylor]: Taking taylor expansion of J in J 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.200 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.200 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.200 * [taylor]: Taking taylor expansion of U in J 2.200 * [backup-simplify]: Simplify U into U 2.200 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.200 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.200 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.200 * [taylor]: Taking taylor expansion of 1/2 in J 2.200 * [backup-simplify]: Simplify 1/2 into 1/2 2.200 * [taylor]: Taking taylor expansion of K in J 2.200 * [backup-simplify]: Simplify K into K 2.200 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.200 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.200 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.200 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.200 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.201 * [backup-simplify]: Simplify (- 0) into 0 2.201 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.201 * [backup-simplify]: Simplify (* 1 1) into 1 2.201 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.201 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.201 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.201 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.201 * [taylor]: Taking taylor expansion of 1 in J 2.201 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (+ 0 1) into 1 2.202 * [backup-simplify]: Simplify (sqrt 1) into 1 2.202 * [backup-simplify]: Simplify (+ 0 0) into 0 2.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.203 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.203 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.203 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.203 * [taylor]: Taking taylor expansion of 1/2 in J 2.203 * [backup-simplify]: Simplify 1/2 into 1/2 2.203 * [taylor]: Taking taylor expansion of K in J 2.203 * [backup-simplify]: Simplify K into K 2.203 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.203 * [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 * [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 * [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 2.204 * [backup-simplify]: Simplify (- 0) into 0 2.204 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.204 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.204 * [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 2.204 * [taylor]: Taking taylor expansion of -2 in U 2.204 * [backup-simplify]: Simplify -2 into -2 2.204 * [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 2.205 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.205 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.205 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.205 * [taylor]: Taking taylor expansion of 1/4 in U 2.205 * [backup-simplify]: Simplify 1/4 into 1/4 2.205 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.205 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.205 * [taylor]: Taking taylor expansion of J in U 2.205 * [backup-simplify]: Simplify J into J 2.205 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.205 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.205 * [taylor]: Taking taylor expansion of U in U 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.205 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.205 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.205 * [taylor]: Taking taylor expansion of 1/2 in U 2.205 * [backup-simplify]: Simplify 1/2 into 1/2 2.205 * [taylor]: Taking taylor expansion of K in U 2.205 * [backup-simplify]: Simplify K into K 2.205 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.205 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.205 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.205 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.205 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.206 * [backup-simplify]: Simplify (- 0) into 0 2.206 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.206 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.206 * [backup-simplify]: Simplify (* 1 1) into 1 2.206 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.207 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.207 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.207 * [taylor]: Taking taylor expansion of 1 in U 2.207 * [backup-simplify]: Simplify 1 into 1 2.207 * [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))) 2.207 * [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))) 2.208 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.208 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.208 * [backup-simplify]: Simplify (+ 0) into 0 2.209 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.209 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.210 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.210 * [backup-simplify]: Simplify (- 0) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.213 * [backup-simplify]: 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 2.213 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.214 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.214 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 2.214 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.214 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.214 * [taylor]: Taking taylor expansion of 1/2 in U 2.214 * [backup-simplify]: Simplify 1/2 into 1/2 2.214 * [taylor]: Taking taylor expansion of K in U 2.214 * [backup-simplify]: Simplify K into K 2.214 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.214 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.214 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.214 * [taylor]: Taking taylor expansion of J in U 2.214 * [backup-simplify]: Simplify J into J 2.215 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.215 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.215 * [backup-simplify]: Simplify (- 0) into 0 2.215 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.216 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.216 * [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 2.216 * [taylor]: Taking taylor expansion of -2 in U 2.216 * [backup-simplify]: Simplify -2 into -2 2.216 * [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 2.216 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.216 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.216 * [taylor]: Taking taylor expansion of 1/4 in U 2.216 * [backup-simplify]: Simplify 1/4 into 1/4 2.216 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.216 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.216 * [taylor]: Taking taylor expansion of J in U 2.216 * [backup-simplify]: Simplify J into J 2.216 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.216 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.216 * [taylor]: Taking taylor expansion of U in U 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.216 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.216 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.217 * [taylor]: Taking taylor expansion of 1/2 in U 2.217 * [backup-simplify]: Simplify 1/2 into 1/2 2.217 * [taylor]: Taking taylor expansion of K in U 2.217 * [backup-simplify]: Simplify K into K 2.217 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.217 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.217 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.217 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.217 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.217 * [backup-simplify]: Simplify (- 0) into 0 2.217 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.218 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.218 * [backup-simplify]: Simplify (* 1 1) into 1 2.218 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.218 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.218 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.218 * [taylor]: Taking taylor expansion of 1 in U 2.218 * [backup-simplify]: Simplify 1 into 1 2.219 * [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))) 2.219 * [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))) 2.219 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.219 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.220 * [backup-simplify]: Simplify (+ 0) into 0 2.220 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.220 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.222 * [backup-simplify]: Simplify (- 0) into 0 2.222 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.224 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.225 * [backup-simplify]: Simplify (+ 0 0) into 0 2.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.225 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 2.225 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.225 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.225 * [taylor]: Taking taylor expansion of 1/2 in U 2.225 * [backup-simplify]: Simplify 1/2 into 1/2 2.225 * [taylor]: Taking taylor expansion of K in U 2.225 * [backup-simplify]: Simplify K into K 2.225 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.226 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.226 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.226 * [taylor]: Taking taylor expansion of J in U 2.226 * [backup-simplify]: Simplify J into J 2.226 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.226 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.226 * [backup-simplify]: Simplify (- 0) into 0 2.226 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.226 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.227 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 2.227 * [backup-simplify]: Simplify (* -2 1/2) into -1 2.227 * [taylor]: Taking taylor expansion of -1 in J 2.227 * [backup-simplify]: Simplify -1 into -1 2.228 * [backup-simplify]: Simplify (+ 0) into 0 2.228 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.228 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.230 * [backup-simplify]: Simplify (- 0) into 0 2.230 * [backup-simplify]: Simplify (+ 0 0) into 0 2.231 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 2.231 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 2.232 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 2.232 * [taylor]: Taking taylor expansion of 0 in J 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [taylor]: Taking taylor expansion of -1 in K 2.232 * [backup-simplify]: Simplify -1 into -1 2.232 * [backup-simplify]: Simplify -1 into -1 2.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.233 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.234 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.234 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.235 * [backup-simplify]: Simplify (- 0) into 0 2.236 * [backup-simplify]: Simplify (+ 0 0) into 0 2.236 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.236 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.238 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.238 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.239 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.239 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.240 * [backup-simplify]: Simplify (- 0) into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.241 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.243 * [backup-simplify]: 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 2.244 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.245 * [backup-simplify]: Simplify (+ 0 1) into 1 2.245 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 2.246 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 2.247 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 2.247 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 2.247 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 2.247 * [taylor]: Taking taylor expansion of 2 in J 2.247 * [backup-simplify]: Simplify 2 into 2 2.247 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 2.247 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.247 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.247 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.247 * [taylor]: Taking taylor expansion of 1/2 in J 2.247 * [backup-simplify]: Simplify 1/2 into 1/2 2.247 * [taylor]: Taking taylor expansion of K in J 2.247 * [backup-simplify]: Simplify K into K 2.248 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.248 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.248 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.248 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.248 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.248 * [backup-simplify]: Simplify (- 0) into 0 2.248 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.248 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.248 * [taylor]: Taking taylor expansion of J in J 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.249 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.249 * [backup-simplify]: Simplify (* 1 1) into 1 2.249 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 2.250 * [backup-simplify]: Simplify (+ 0) into 0 2.250 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.252 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.252 * [backup-simplify]: Simplify (- 0) into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.255 * [backup-simplify]: Simplify (- 0) into 0 2.255 * [taylor]: Taking taylor expansion of 0 in K 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [taylor]: Taking taylor expansion of 0 in K 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [taylor]: Taking taylor expansion of 0 in K 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.257 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.259 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.260 * [backup-simplify]: Simplify (- 0) into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.260 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.261 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.262 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.263 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.268 * [backup-simplify]: Simplify (- 0) into 0 2.268 * [backup-simplify]: Simplify (+ 0 0) into 0 2.269 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.272 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.273 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.274 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 2.275 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 2.276 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 2.276 * [taylor]: Taking taylor expansion of 0 in J 2.276 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.278 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.278 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.279 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.279 * [backup-simplify]: Simplify (- 0) into 0 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.284 * [backup-simplify]: Simplify (- 0) into 0 2.284 * [taylor]: Taking taylor expansion of 0 in K 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [taylor]: Taking taylor expansion of 0 in K 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 2.285 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 2.285 * [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 (U J K) around 0 2.285 * [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 2.285 * [taylor]: Taking taylor expansion of 2 in K 2.285 * [backup-simplify]: Simplify 2 into 2 2.285 * [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 2.286 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.286 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.286 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.286 * [taylor]: Taking taylor expansion of -1/2 in K 2.286 * [backup-simplify]: Simplify -1/2 into -1/2 2.286 * [taylor]: Taking taylor expansion of K in K 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.286 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.286 * [taylor]: Taking taylor expansion of J in K 2.286 * [backup-simplify]: Simplify J into J 2.286 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.286 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 2.287 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 2.287 * [taylor]: Taking taylor expansion of 1 in K 2.287 * [backup-simplify]: Simplify 1 into 1 2.287 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.287 * [taylor]: Taking taylor expansion of 1/4 in K 2.287 * [backup-simplify]: Simplify 1/4 into 1/4 2.287 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.287 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.287 * [taylor]: Taking taylor expansion of J in K 2.287 * [backup-simplify]: Simplify J into J 2.287 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.287 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.287 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.287 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.287 * [taylor]: Taking taylor expansion of -1/2 in K 2.287 * [backup-simplify]: Simplify -1/2 into -1/2 2.287 * [taylor]: Taking taylor expansion of K in K 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 1 into 1 2.287 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.287 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.288 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.288 * [taylor]: Taking taylor expansion of U in K 2.288 * [backup-simplify]: Simplify U into U 2.288 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.288 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.288 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.288 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.288 * [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))) 2.288 * [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)))) 2.289 * [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))))) 2.289 * [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)))))) 2.289 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.289 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.290 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.290 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.290 * [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 2.291 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.292 * [backup-simplify]: Simplify (+ 0 0) into 0 2.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 2.292 * [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 2.292 * [taylor]: Taking taylor expansion of 2 in J 2.292 * [backup-simplify]: Simplify 2 into 2 2.292 * [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 2.292 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.292 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.292 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.292 * [taylor]: Taking taylor expansion of -1/2 in J 2.292 * [backup-simplify]: Simplify -1/2 into -1/2 2.292 * [taylor]: Taking taylor expansion of K in J 2.292 * [backup-simplify]: Simplify K into K 2.292 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.292 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.292 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.293 * [taylor]: Taking taylor expansion of J in J 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.293 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.293 * [backup-simplify]: Simplify (- 0) into 0 2.293 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.293 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.293 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.293 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.293 * [taylor]: Taking taylor expansion of 1 in J 2.293 * [backup-simplify]: Simplify 1 into 1 2.294 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.294 * [taylor]: Taking taylor expansion of 1/4 in J 2.294 * [backup-simplify]: Simplify 1/4 into 1/4 2.294 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.294 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.294 * [taylor]: Taking taylor expansion of J in J 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.294 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.294 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.294 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.294 * [taylor]: Taking taylor expansion of -1/2 in J 2.294 * [backup-simplify]: Simplify -1/2 into -1/2 2.294 * [taylor]: Taking taylor expansion of K in J 2.294 * [backup-simplify]: Simplify K into K 2.294 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.294 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.294 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.294 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.294 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.295 * [backup-simplify]: Simplify (- 0) into 0 2.295 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.295 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.295 * [taylor]: Taking taylor expansion of U in J 2.295 * [backup-simplify]: Simplify U into U 2.295 * [backup-simplify]: Simplify (* 1 1) into 1 2.295 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.296 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.296 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.296 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.296 * [backup-simplify]: Simplify (+ 1 0) into 1 2.297 * [backup-simplify]: Simplify (sqrt 1) into 1 2.297 * [backup-simplify]: Simplify (+ 0 0) into 0 2.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.298 * [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 2.298 * [taylor]: Taking taylor expansion of 2 in U 2.298 * [backup-simplify]: Simplify 2 into 2 2.298 * [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 2.298 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 2.298 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.298 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.298 * [taylor]: Taking taylor expansion of -1/2 in U 2.298 * [backup-simplify]: Simplify -1/2 into -1/2 2.298 * [taylor]: Taking taylor expansion of K in U 2.298 * [backup-simplify]: Simplify K into K 2.298 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.298 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.298 * [taylor]: Taking taylor expansion of J in U 2.298 * [backup-simplify]: Simplify J into J 2.299 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.299 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.299 * [backup-simplify]: Simplify (- 0) into 0 2.299 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.299 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.299 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.299 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.299 * [taylor]: Taking taylor expansion of 1 in U 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.299 * [taylor]: Taking taylor expansion of 1/4 in U 2.299 * [backup-simplify]: Simplify 1/4 into 1/4 2.299 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.299 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.300 * [taylor]: Taking taylor expansion of J in U 2.300 * [backup-simplify]: Simplify J into J 2.300 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.300 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.300 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.300 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.300 * [taylor]: Taking taylor expansion of -1/2 in U 2.300 * [backup-simplify]: Simplify -1/2 into -1/2 2.300 * [taylor]: Taking taylor expansion of K in U 2.300 * [backup-simplify]: Simplify K into K 2.300 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.300 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.300 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.300 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.300 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.300 * [backup-simplify]: Simplify (- 0) into 0 2.301 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.301 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.301 * [taylor]: Taking taylor expansion of U in U 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.301 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.301 * [backup-simplify]: Simplify (* 1 1) into 1 2.301 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.302 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.302 * [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))) 2.302 * [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))) 2.302 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.302 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.303 * [backup-simplify]: Simplify (+ 0) into 0 2.304 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.304 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.306 * [backup-simplify]: Simplify (- 0) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.307 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.307 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.308 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.309 * [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 2.309 * [taylor]: Taking taylor expansion of 2 in U 2.309 * [backup-simplify]: Simplify 2 into 2 2.309 * [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 2.309 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 2.309 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.309 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.309 * [taylor]: Taking taylor expansion of -1/2 in U 2.309 * [backup-simplify]: Simplify -1/2 into -1/2 2.309 * [taylor]: Taking taylor expansion of K in U 2.309 * [backup-simplify]: Simplify K into K 2.309 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.309 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.309 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.309 * [taylor]: Taking taylor expansion of J in U 2.309 * [backup-simplify]: Simplify J into J 2.309 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.309 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.310 * [backup-simplify]: Simplify (- 0) into 0 2.310 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.310 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.310 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.310 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.310 * [taylor]: Taking taylor expansion of 1 in U 2.310 * [backup-simplify]: Simplify 1 into 1 2.310 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.310 * [taylor]: Taking taylor expansion of 1/4 in U 2.310 * [backup-simplify]: Simplify 1/4 into 1/4 2.310 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.310 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.310 * [taylor]: Taking taylor expansion of J in U 2.310 * [backup-simplify]: Simplify J into J 2.310 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.310 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.310 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.310 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.310 * [taylor]: Taking taylor expansion of -1/2 in U 2.310 * [backup-simplify]: Simplify -1/2 into -1/2 2.310 * [taylor]: Taking taylor expansion of K in U 2.310 * [backup-simplify]: Simplify K into K 2.310 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.311 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.311 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.311 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.311 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.311 * [backup-simplify]: Simplify (- 0) into 0 2.311 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.311 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.311 * [taylor]: Taking taylor expansion of U in U 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.312 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.312 * [backup-simplify]: Simplify (* 1 1) into 1 2.312 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.312 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.313 * [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))) 2.313 * [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))) 2.313 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.313 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.314 * [backup-simplify]: Simplify (+ 0) into 0 2.315 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.315 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.316 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.316 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.317 * [backup-simplify]: Simplify (- 0) into 0 2.317 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.318 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.318 * [backup-simplify]: 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 2.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.318 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.319 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 2.319 * [backup-simplify]: Simplify (* 2 1/2) into 1 2.319 * [taylor]: Taking taylor expansion of 1 in J 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (+ 0) into 0 2.320 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.320 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.321 * [backup-simplify]: Simplify (- 0) into 0 2.321 * [backup-simplify]: Simplify (+ 0 0) into 0 2.321 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 2.321 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.322 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 2.322 * [taylor]: Taking taylor expansion of 0 in J 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [taylor]: Taking taylor expansion of 1 in K 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.323 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.324 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.324 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.324 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.324 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.325 * [backup-simplify]: Simplify (- 0) into 0 2.325 * [backup-simplify]: Simplify (+ 0 0) into 0 2.325 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.326 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.326 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.327 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.327 * [backup-simplify]: Simplify (+ 1 0) into 1 2.328 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 2.328 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.329 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.329 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.329 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.330 * [backup-simplify]: Simplify (- 0) into 0 2.330 * [backup-simplify]: Simplify (+ 0 0) into 0 2.331 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.331 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 2.332 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 2.332 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 2.332 * [taylor]: Taking taylor expansion of 2 in J 2.332 * [backup-simplify]: Simplify 2 into 2 2.332 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 2.333 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.333 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.333 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.333 * [taylor]: Taking taylor expansion of -1/2 in J 2.333 * [backup-simplify]: Simplify -1/2 into -1/2 2.333 * [taylor]: Taking taylor expansion of K in J 2.333 * [backup-simplify]: Simplify K into K 2.333 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.333 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.333 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.333 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.333 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.333 * [backup-simplify]: Simplify (- 0) into 0 2.334 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.334 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.334 * [taylor]: Taking taylor expansion of J in J 2.334 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify 1 into 1 2.334 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.334 * [backup-simplify]: Simplify (* 1 1) into 1 2.334 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.335 * [backup-simplify]: Simplify (+ 0) into 0 2.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.335 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.336 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.337 * [backup-simplify]: Simplify (- 0) into 0 2.337 * [backup-simplify]: Simplify (+ 0 0) into 0 2.337 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 2.340 * [taylor]: Taking taylor expansion of 0 in K 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [taylor]: Taking taylor expansion of 0 in K 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [taylor]: Taking taylor expansion of 0 in K 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.346 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.346 * [backup-simplify]: Simplify (- 0) into 0 2.347 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.349 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.351 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.351 * [backup-simplify]: Simplify (+ 0 0) into 0 2.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.352 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.353 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.356 * [backup-simplify]: Simplify (- 0) into 0 2.356 * [backup-simplify]: Simplify (+ 0 0) into 0 2.357 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.357 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 2.359 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 2.359 * [taylor]: Taking taylor expansion of 0 in J 2.359 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.361 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.361 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.362 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.362 * [backup-simplify]: Simplify (- 0) into 0 2.363 * [backup-simplify]: Simplify (+ 0 0) into 0 2.363 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.366 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 2.366 * [taylor]: Taking taylor expansion of 0 in K 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [taylor]: Taking taylor expansion of 0 in K 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 2.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.367 * [backup-simplify]: Simplify (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.367 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0 2.367 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.367 * [taylor]: Taking taylor expansion of 1/4 in K 2.367 * [backup-simplify]: Simplify 1/4 into 1/4 2.367 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.367 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.368 * [taylor]: Taking taylor expansion of U in K 2.368 * [backup-simplify]: Simplify U into U 2.368 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.368 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.368 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.368 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.368 * [taylor]: Taking taylor expansion of 1/2 in K 2.368 * [backup-simplify]: Simplify 1/2 into 1/2 2.368 * [taylor]: Taking taylor expansion of K in K 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.368 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.369 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.369 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.369 * [taylor]: Taking taylor expansion of J in K 2.369 * [backup-simplify]: Simplify J into J 2.369 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.370 * [backup-simplify]: Simplify (* 1 1) into 1 2.370 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.370 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.370 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.370 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.370 * [taylor]: Taking taylor expansion of 1/4 in J 2.370 * [backup-simplify]: Simplify 1/4 into 1/4 2.370 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.370 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.370 * [taylor]: Taking taylor expansion of U in J 2.370 * [backup-simplify]: Simplify U into U 2.370 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.370 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.370 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.370 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.370 * [taylor]: Taking taylor expansion of 1/2 in J 2.370 * [backup-simplify]: Simplify 1/2 into 1/2 2.370 * [taylor]: Taking taylor expansion of K in J 2.370 * [backup-simplify]: Simplify K into K 2.370 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.370 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.370 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.370 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.371 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.371 * [backup-simplify]: Simplify (- 0) into 0 2.371 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.371 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.371 * [taylor]: Taking taylor expansion of J in J 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.371 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.372 * [backup-simplify]: Simplify (* 1 1) into 1 2.372 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.372 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.372 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.372 * [taylor]: Taking taylor expansion of 1/4 in U 2.372 * [backup-simplify]: Simplify 1/4 into 1/4 2.372 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.372 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.372 * [taylor]: Taking taylor expansion of U in U 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 J 2)) in U 2.372 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.372 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.372 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.372 * [taylor]: Taking taylor expansion of 1/2 in U 2.372 * [backup-simplify]: Simplify 1/2 into 1/2 2.372 * [taylor]: Taking taylor expansion of K in U 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)) 2.373 * [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 J 2) in U 2.373 * [taylor]: Taking taylor expansion of J in U 2.373 * [backup-simplify]: Simplify J into J 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) 2.374 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.374 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.374 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.374 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 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 U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.374 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.374 * [taylor]: Taking taylor expansion of U in U 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 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 2.374 * [taylor]: Taking taylor expansion of K in U 2.374 * [backup-simplify]: Simplify K into K 2.374 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.374 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.374 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.374 * [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 J 2) in U 2.375 * [taylor]: Taking taylor expansion of J in U 2.375 * [backup-simplify]: Simplify J into J 2.375 * [backup-simplify]: Simplify (* 1 1) into 1 2.376 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.376 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.376 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.376 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.376 * [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))) 2.376 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.376 * [taylor]: Taking taylor expansion of 1/4 in J 2.376 * [backup-simplify]: Simplify 1/4 into 1/4 2.376 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.376 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.376 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.376 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.376 * [taylor]: Taking taylor expansion of 1/2 in J 2.376 * [backup-simplify]: Simplify 1/2 into 1/2 2.376 * [taylor]: Taking taylor expansion of K in J 2.376 * [backup-simplify]: Simplify K into K 2.376 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.377 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.377 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.377 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.377 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.377 * [backup-simplify]: Simplify (- 0) into 0 2.377 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 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 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.378 * [backup-simplify]: Simplify (* 1 1) into 1 2.378 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.378 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 2.378 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 2.378 * [taylor]: Taking taylor expansion of 1/4 in K 2.378 * [backup-simplify]: Simplify 1/4 into 1/4 2.378 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.378 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.378 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.378 * [taylor]: Taking taylor expansion of 1/2 in K 2.378 * [backup-simplify]: Simplify 1/2 into 1/2 2.378 * [taylor]: Taking taylor expansion of K in K 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.379 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.380 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.380 * [backup-simplify]: Simplify (* 1 1) into 1 2.380 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 2.380 * [backup-simplify]: Simplify 1/4 into 1/4 2.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.381 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.381 * [backup-simplify]: Simplify (+ 0) into 0 2.382 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.383 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.383 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.384 * [backup-simplify]: Simplify (- 0) into 0 2.384 * [backup-simplify]: Simplify (+ 0 0) into 0 2.384 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.384 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.385 * [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 2.385 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.385 * [taylor]: Taking taylor expansion of 0 in J 2.385 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.386 * [backup-simplify]: Simplify (+ 0) into 0 2.387 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.388 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.389 * [backup-simplify]: Simplify (- 0) into 0 2.389 * [backup-simplify]: Simplify (+ 0 0) into 0 2.389 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.390 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.390 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.390 * [taylor]: Taking taylor expansion of 0 in K 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (+ 0) into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.393 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.394 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.394 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.396 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.396 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.397 * [backup-simplify]: Simplify (- 0) into 0 2.397 * [backup-simplify]: Simplify (+ 0 0) into 0 2.397 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.398 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 2.399 * [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 2.400 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.404 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.406 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.406 * [backup-simplify]: Simplify (- 0) into 0 2.406 * [backup-simplify]: Simplify (+ 0 0) into 0 2.407 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.408 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.408 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.408 * [taylor]: Taking taylor expansion of 0 in K 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.410 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 2.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 2.411 * [backup-simplify]: Simplify 1/16 into 1/16 2.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.414 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.414 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.417 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.418 * [backup-simplify]: Simplify (- 0) into 0 2.418 * [backup-simplify]: Simplify (+ 0 0) into 0 2.419 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 2.420 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 2.420 * [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 2.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 2.422 * [taylor]: Taking taylor expansion of 0 in J 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [taylor]: Taking taylor expansion of 0 in K 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.424 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.424 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.427 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.427 * [backup-simplify]: Simplify (- 0) into 0 2.427 * [backup-simplify]: Simplify (+ 0 0) into 0 2.428 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 2.428 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.429 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.429 * [taylor]: Taking taylor expansion of 0 in K 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.430 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.433 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 2.434 * [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 2.435 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 2.437 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.437 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.437 * [backup-simplify]: Simplify (- 0) into 0 2.438 * [backup-simplify]: Simplify (+ 0 0) into 0 2.438 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 2.439 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 2.440 * [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 2.441 * [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 2.441 * [taylor]: Taking taylor expansion of 0 in J 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [taylor]: Taking taylor expansion of 0 in K 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 2.441 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 2.441 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0 2.441 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.441 * [taylor]: Taking taylor expansion of 1/4 in K 2.442 * [backup-simplify]: Simplify 1/4 into 1/4 2.442 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.442 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.442 * [taylor]: Taking taylor expansion of J in K 2.442 * [backup-simplify]: Simplify J into J 2.442 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.442 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.442 * [taylor]: Taking taylor expansion of U in K 2.442 * [backup-simplify]: Simplify U into U 2.442 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.442 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.442 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.442 * [taylor]: Taking taylor expansion of 1/2 in K 2.442 * [backup-simplify]: Simplify 1/2 into 1/2 2.442 * [taylor]: Taking taylor expansion of K in K 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.442 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.442 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.442 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.442 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.442 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.442 * [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))) 2.442 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.443 * [taylor]: Taking taylor expansion of 1/4 in J 2.443 * [backup-simplify]: Simplify 1/4 into 1/4 2.443 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.443 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.443 * [taylor]: Taking taylor expansion of J in J 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.443 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.443 * [taylor]: Taking taylor expansion of U in J 2.443 * [backup-simplify]: Simplify U into U 2.443 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.443 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.443 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.443 * [taylor]: Taking taylor expansion of 1/2 in J 2.443 * [backup-simplify]: Simplify 1/2 into 1/2 2.443 * [taylor]: Taking taylor expansion of K in J 2.443 * [backup-simplify]: Simplify K into K 2.443 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.443 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.443 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.443 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.443 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.443 * [backup-simplify]: Simplify (- 0) into 0 2.443 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.444 * [backup-simplify]: Simplify (* 1 1) into 1 2.444 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.444 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.444 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.444 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.444 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.444 * [taylor]: Taking taylor expansion of 1/4 in U 2.444 * [backup-simplify]: Simplify 1/4 into 1/4 2.444 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.444 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.444 * [taylor]: Taking taylor expansion of J in U 2.444 * [backup-simplify]: Simplify J into J 2.444 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.444 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.444 * [taylor]: Taking taylor expansion of U in U 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.444 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.444 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.444 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.444 * [taylor]: Taking taylor expansion of 1/2 in U 2.444 * [backup-simplify]: Simplify 1/2 into 1/2 2.444 * [taylor]: Taking taylor expansion of K in U 2.444 * [backup-simplify]: Simplify K into K 2.444 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.444 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.444 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.444 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.444 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.445 * [backup-simplify]: Simplify (- 0) into 0 2.445 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.445 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.445 * [backup-simplify]: Simplify (* 1 1) into 1 2.445 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.445 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.445 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.445 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.445 * [taylor]: Taking taylor expansion of 1/4 in U 2.445 * [backup-simplify]: Simplify 1/4 into 1/4 2.445 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.445 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.445 * [taylor]: Taking taylor expansion of J in U 2.445 * [backup-simplify]: Simplify J into J 2.445 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.445 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.445 * [taylor]: Taking taylor expansion of U in U 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 1 into 1 2.446 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.446 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.446 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.446 * [taylor]: Taking taylor expansion of 1/2 in U 2.446 * [backup-simplify]: Simplify 1/2 into 1/2 2.446 * [taylor]: Taking taylor expansion of K in U 2.446 * [backup-simplify]: Simplify K into K 2.446 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.446 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.446 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 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 (* J J) into (pow J 2) 2.446 * [backup-simplify]: Simplify (* 1 1) into 1 2.446 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.447 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.447 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.447 * [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))) 2.447 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 2.447 * [taylor]: Taking taylor expansion of 1/4 in J 2.447 * [backup-simplify]: Simplify 1/4 into 1/4 2.447 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 2.447 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.447 * [taylor]: Taking taylor expansion of J in J 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 1 into 1 2.447 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.447 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.447 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.447 * [taylor]: Taking taylor expansion of 1/2 in J 2.447 * [backup-simplify]: Simplify 1/2 into 1/2 2.447 * [taylor]: Taking taylor expansion of K in J 2.447 * [backup-simplify]: Simplify K into K 2.447 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.447 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.447 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.447 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.447 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.448 * [backup-simplify]: Simplify (- 0) into 0 2.448 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.448 * [backup-simplify]: Simplify (* 1 1) into 1 2.448 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.448 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 2.448 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.448 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 2.448 * [taylor]: Taking taylor expansion of 1/4 in K 2.448 * [backup-simplify]: Simplify 1/4 into 1/4 2.448 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) 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 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.449 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.449 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.449 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.449 * [backup-simplify]: Simplify (+ 0) into 0 2.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.450 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.451 * [backup-simplify]: Simplify (- 0) into 0 2.451 * [backup-simplify]: Simplify (+ 0 0) into 0 2.451 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.452 * [backup-simplify]: 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 2.452 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.452 * [taylor]: Taking taylor expansion of 0 in J 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [taylor]: Taking taylor expansion of 0 in K 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.453 * [backup-simplify]: Simplify (+ 0) into 0 2.453 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.453 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.454 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.454 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.454 * [backup-simplify]: Simplify (- 0) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.455 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.455 * [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 2.455 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 2.455 * [taylor]: Taking taylor expansion of 0 in K 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.456 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.456 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.457 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.457 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.457 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.458 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.458 * [backup-simplify]: Simplify (- 0) into 0 2.458 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.460 * [backup-simplify]: 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 2.461 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.461 * [taylor]: Taking taylor expansion of 0 in J 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [taylor]: Taking taylor expansion of 0 in K 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [taylor]: Taking taylor expansion of 0 in K 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.462 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.462 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.463 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.463 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.463 * [backup-simplify]: Simplify (- 0) into 0 2.464 * [backup-simplify]: Simplify (+ 0 0) into 0 2.464 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.464 * [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 2.465 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 2.465 * [taylor]: Taking taylor expansion of 0 in K 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.465 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 2.465 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0 2.465 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.465 * [taylor]: Taking taylor expansion of 1/4 in K 2.465 * [backup-simplify]: Simplify 1/4 into 1/4 2.465 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.465 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.466 * [taylor]: Taking taylor expansion of J in K 2.466 * [backup-simplify]: Simplify J into J 2.466 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.466 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.466 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.466 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.466 * [taylor]: Taking taylor expansion of -1/2 in K 2.466 * [backup-simplify]: Simplify -1/2 into -1/2 2.466 * [taylor]: Taking taylor expansion of K in K 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.466 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.466 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.466 * [taylor]: Taking taylor expansion of U in K 2.466 * [backup-simplify]: Simplify U into U 2.466 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.467 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.467 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.467 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.467 * [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))) 2.467 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.467 * [taylor]: Taking taylor expansion of 1/4 in J 2.467 * [backup-simplify]: Simplify 1/4 into 1/4 2.467 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.467 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.467 * [taylor]: Taking taylor expansion of J in J 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.467 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.467 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.467 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.467 * [taylor]: Taking taylor expansion of -1/2 in J 2.467 * [backup-simplify]: Simplify -1/2 into -1/2 2.467 * [taylor]: Taking taylor expansion of K in J 2.468 * [backup-simplify]: Simplify K into K 2.468 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.468 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.468 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.468 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.468 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.468 * [backup-simplify]: Simplify (- 0) into 0 2.468 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.468 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.469 * [taylor]: Taking taylor expansion of U in J 2.469 * [backup-simplify]: Simplify U into U 2.469 * [backup-simplify]: Simplify (* 1 1) into 1 2.469 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.469 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.469 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.469 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.470 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.470 * [taylor]: Taking taylor expansion of 1/4 in U 2.470 * [backup-simplify]: Simplify 1/4 into 1/4 2.470 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.470 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.470 * [taylor]: Taking taylor expansion of J in U 2.470 * [backup-simplify]: Simplify J into J 2.470 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.470 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.470 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.470 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.470 * [taylor]: Taking taylor expansion of -1/2 in U 2.470 * [backup-simplify]: Simplify -1/2 into -1/2 2.470 * [taylor]: Taking taylor expansion of K in U 2.470 * [backup-simplify]: Simplify K into K 2.470 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.470 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.470 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.470 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.470 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.471 * [backup-simplify]: Simplify (- 0) into 0 2.471 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.471 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.471 * [taylor]: Taking taylor expansion of U in U 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.471 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.471 * [backup-simplify]: Simplify (* 1 1) into 1 2.472 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.472 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.472 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.472 * [taylor]: Taking taylor expansion of 1/4 in U 2.472 * [backup-simplify]: Simplify 1/4 into 1/4 2.472 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.472 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.472 * [taylor]: Taking taylor expansion of J in U 2.472 * [backup-simplify]: Simplify J into J 2.472 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.472 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.472 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.472 * [taylor]: Taking taylor expansion of -1/2 in U 2.472 * [backup-simplify]: Simplify -1/2 into -1/2 2.472 * [taylor]: Taking taylor expansion of K in U 2.472 * [backup-simplify]: Simplify K into K 2.472 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.472 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.472 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.472 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.473 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.473 * [backup-simplify]: Simplify (- 0) into 0 2.473 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.473 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.473 * [taylor]: Taking taylor expansion of U in U 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify 1 into 1 2.473 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.474 * [backup-simplify]: Simplify (* 1 1) into 1 2.474 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.474 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.474 * [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))) 2.474 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 2.474 * [taylor]: Taking taylor expansion of 1/4 in J 2.474 * [backup-simplify]: Simplify 1/4 into 1/4 2.474 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 2.475 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.475 * [taylor]: Taking taylor expansion of J in J 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 1 into 1 2.475 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.475 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.475 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.475 * [taylor]: Taking taylor expansion of -1/2 in J 2.475 * [backup-simplify]: Simplify -1/2 into -1/2 2.475 * [taylor]: Taking taylor expansion of K in J 2.475 * [backup-simplify]: Simplify K into K 2.475 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.475 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.475 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.475 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.476 * [backup-simplify]: Simplify (- 0) into 0 2.476 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.476 * [backup-simplify]: Simplify (* 1 1) into 1 2.476 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.476 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 2.476 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.477 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 2.477 * [taylor]: Taking taylor expansion of 1/4 in K 2.477 * [backup-simplify]: Simplify 1/4 into 1/4 2.477 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.477 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.477 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.477 * [taylor]: Taking taylor expansion of -1/2 in K 2.477 * [backup-simplify]: Simplify -1/2 into -1/2 2.477 * [taylor]: Taking taylor expansion of K in K 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.477 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.478 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.478 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.478 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.478 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.478 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.479 * [backup-simplify]: Simplify (+ 0) into 0 2.480 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.480 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.481 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.481 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.481 * [backup-simplify]: Simplify (- 0) into 0 2.482 * [backup-simplify]: Simplify (+ 0 0) into 0 2.482 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.482 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.483 * [backup-simplify]: 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 2.483 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.483 * [taylor]: Taking taylor expansion of 0 in J 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [taylor]: Taking taylor expansion of 0 in K 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.484 * [backup-simplify]: Simplify (+ 0) into 0 2.485 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.485 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.486 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.487 * [backup-simplify]: Simplify (- 0) into 0 2.487 * [backup-simplify]: Simplify (+ 0 0) into 0 2.487 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.488 * [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 2.488 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 2.488 * [taylor]: Taking taylor expansion of 0 in K 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.489 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.491 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.491 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.492 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.492 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.493 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.493 * [backup-simplify]: Simplify (- 0) into 0 2.493 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.494 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.495 * [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 2.495 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.495 * [taylor]: Taking taylor expansion of 0 in J 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [taylor]: Taking taylor expansion of 0 in K 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [taylor]: Taking taylor expansion of 0 in K 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.496 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.497 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.497 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.497 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.498 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.498 * [backup-simplify]: Simplify (- 0) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.499 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.499 * [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 2.499 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 2.499 * [taylor]: Taking taylor expansion of 0 in K 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.500 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 2.500 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 2.500 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 2.500 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 2.500 * [taylor]: Taking taylor expansion of 2 in K 2.500 * [backup-simplify]: Simplify 2 into 2 2.500 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.500 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.500 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.500 * [taylor]: Taking taylor expansion of 1/2 in K 2.500 * [backup-simplify]: Simplify 1/2 into 1/2 2.500 * [taylor]: Taking taylor expansion of K in K 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.501 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.501 * [taylor]: Taking taylor expansion of J in K 2.501 * [backup-simplify]: Simplify J into J 2.501 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 2.501 * [taylor]: Taking taylor expansion of 2 in J 2.501 * [backup-simplify]: Simplify 2 into 2 2.501 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.501 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.501 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.501 * [taylor]: Taking taylor expansion of 1/2 in J 2.501 * [backup-simplify]: Simplify 1/2 into 1/2 2.501 * [taylor]: Taking taylor expansion of K in J 2.501 * [backup-simplify]: Simplify K into K 2.501 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.501 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.501 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.501 * [taylor]: Taking taylor expansion of J in J 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 2.501 * [taylor]: Taking taylor expansion of 2 in J 2.501 * [backup-simplify]: Simplify 2 into 2 2.501 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.501 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.501 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.501 * [taylor]: Taking taylor expansion of 1/2 in J 2.501 * [backup-simplify]: Simplify 1/2 into 1/2 2.501 * [taylor]: Taking taylor expansion of K in J 2.501 * [backup-simplify]: Simplify K into K 2.501 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.501 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.501 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.501 * [taylor]: Taking taylor expansion of J in J 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.502 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.502 * [backup-simplify]: Simplify (- 0) into 0 2.502 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.502 * [backup-simplify]: Simplify (* 2 0) into 0 2.502 * [taylor]: Taking taylor expansion of 0 in K 2.502 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify (+ 0) into 0 2.503 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.504 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.505 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.505 * [backup-simplify]: Simplify (- 0) into 0 2.505 * [backup-simplify]: Simplify (+ 0 0) into 0 2.506 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.506 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 2.506 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 2.506 * [taylor]: Taking taylor expansion of 2 in K 2.506 * [backup-simplify]: Simplify 2 into 2 2.506 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.506 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.506 * [taylor]: Taking taylor expansion of 1/2 in K 2.506 * [backup-simplify]: Simplify 1/2 into 1/2 2.506 * [taylor]: Taking taylor expansion of K in K 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 1 into 1 2.506 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.507 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.507 * [backup-simplify]: Simplify (* 2 1) into 2 2.507 * [backup-simplify]: Simplify 2 into 2 2.507 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.508 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.511 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.511 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.511 * [backup-simplify]: Simplify (- 0) into 0 2.512 * [backup-simplify]: Simplify (+ 0 0) into 0 2.512 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.513 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 2.513 * [taylor]: Taking taylor expansion of 0 in K 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify (+ 0) into 0 2.513 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.515 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.516 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.517 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.517 * [backup-simplify]: Simplify (- 0) into 0 2.517 * [backup-simplify]: Simplify (+ 0 0) into 0 2.518 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.518 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 2.518 * [taylor]: Taking taylor expansion of 0 in K 2.518 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 2.519 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 2.519 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 2.519 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 2.519 * [taylor]: Taking taylor expansion of 2 in K 2.519 * [backup-simplify]: Simplify 2 into 2 2.519 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.519 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.519 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.519 * [taylor]: Taking taylor expansion of 1/2 in K 2.519 * [backup-simplify]: Simplify 1/2 into 1/2 2.519 * [taylor]: Taking taylor expansion of K in K 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 1 into 1 2.519 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.519 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.519 * [taylor]: Taking taylor expansion of J in K 2.519 * [backup-simplify]: Simplify J into J 2.519 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.519 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 2.519 * [taylor]: Taking taylor expansion of 2 in J 2.519 * [backup-simplify]: Simplify 2 into 2 2.519 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.519 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.519 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.519 * [taylor]: Taking taylor expansion of 1/2 in J 2.520 * [backup-simplify]: Simplify 1/2 into 1/2 2.520 * [taylor]: Taking taylor expansion of K in J 2.520 * [backup-simplify]: Simplify K into K 2.520 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.520 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.520 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.520 * [taylor]: Taking taylor expansion of J in J 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.520 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.520 * [backup-simplify]: Simplify (- 0) into 0 2.520 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.520 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.520 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 2.520 * [taylor]: Taking taylor expansion of 2 in J 2.520 * [backup-simplify]: Simplify 2 into 2 2.520 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.520 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.520 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.520 * [taylor]: Taking taylor expansion of 1/2 in J 2.520 * [backup-simplify]: Simplify 1/2 into 1/2 2.520 * [taylor]: Taking taylor expansion of K in J 2.520 * [backup-simplify]: Simplify K into K 2.520 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.520 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.520 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.520 * [taylor]: Taking taylor expansion of J in J 2.520 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 1 into 1 2.521 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.521 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.521 * [backup-simplify]: Simplify (- 0) into 0 2.521 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.521 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.521 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.521 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 2.521 * [taylor]: Taking taylor expansion of 2 in K 2.521 * [backup-simplify]: Simplify 2 into 2 2.521 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.521 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.521 * [taylor]: Taking taylor expansion of 1/2 in K 2.521 * [backup-simplify]: Simplify 1/2 into 1/2 2.521 * [taylor]: Taking taylor expansion of K in K 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 1 into 1 2.522 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.522 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.522 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.522 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.522 * [backup-simplify]: Simplify (+ 0) into 0 2.522 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.522 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.523 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.523 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.523 * [backup-simplify]: Simplify (- 0) into 0 2.524 * [backup-simplify]: Simplify (+ 0 0) into 0 2.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.525 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.525 * [taylor]: Taking taylor expansion of 0 in K 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.526 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.526 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.527 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.527 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.527 * [backup-simplify]: Simplify (- 0) into 0 2.527 * [backup-simplify]: Simplify (+ 0 0) into 0 2.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.529 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.529 * [taylor]: Taking taylor expansion of 0 in K 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.532 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.532 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.535 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.535 * [backup-simplify]: Simplify (- 0) into 0 2.535 * [backup-simplify]: Simplify (+ 0 0) into 0 2.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.538 * [taylor]: Taking taylor expansion of 0 in K 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 2.539 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 2.539 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 2.539 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 2.539 * [taylor]: Taking taylor expansion of -2 in K 2.539 * [backup-simplify]: Simplify -2 into -2 2.539 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.539 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.539 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.539 * [taylor]: Taking taylor expansion of -1/2 in K 2.539 * [backup-simplify]: Simplify -1/2 into -1/2 2.539 * [taylor]: Taking taylor expansion of K in K 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 1 into 1 2.540 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.540 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.540 * [taylor]: Taking taylor expansion of J in K 2.540 * [backup-simplify]: Simplify J into J 2.540 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.540 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 2.540 * [taylor]: Taking taylor expansion of -2 in J 2.540 * [backup-simplify]: Simplify -2 into -2 2.540 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.540 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.540 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.540 * [taylor]: Taking taylor expansion of -1/2 in J 2.540 * [backup-simplify]: Simplify -1/2 into -1/2 2.540 * [taylor]: Taking taylor expansion of K in J 2.540 * [backup-simplify]: Simplify K into K 2.540 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.540 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.540 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.540 * [taylor]: Taking taylor expansion of J in J 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 1 into 1 2.541 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.541 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.541 * [backup-simplify]: Simplify (- 0) into 0 2.541 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.541 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.541 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 2.541 * [taylor]: Taking taylor expansion of -2 in J 2.541 * [backup-simplify]: Simplify -2 into -2 2.541 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.541 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.541 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.541 * [taylor]: Taking taylor expansion of -1/2 in J 2.541 * [backup-simplify]: Simplify -1/2 into -1/2 2.541 * [taylor]: Taking taylor expansion of K in J 2.541 * [backup-simplify]: Simplify K into K 2.541 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.541 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.542 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.542 * [taylor]: Taking taylor expansion of J in J 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 1 into 1 2.542 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.542 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.542 * [backup-simplify]: Simplify (- 0) into 0 2.542 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.542 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.542 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.542 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 2.542 * [taylor]: Taking taylor expansion of -2 in K 2.542 * [backup-simplify]: Simplify -2 into -2 2.542 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.542 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.542 * [taylor]: Taking taylor expansion of -1/2 in K 2.542 * [backup-simplify]: Simplify -1/2 into -1/2 2.542 * [taylor]: Taking taylor expansion of K in K 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 1 into 1 2.543 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.543 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.543 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.543 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.543 * [backup-simplify]: Simplify (+ 0) into 0 2.543 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.543 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.544 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.544 * [backup-simplify]: Simplify (- 0) into 0 2.545 * [backup-simplify]: Simplify (+ 0 0) into 0 2.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.546 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.546 * [taylor]: Taking taylor expansion of 0 in K 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.547 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.547 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.547 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.548 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.548 * [backup-simplify]: Simplify (- 0) into 0 2.548 * [backup-simplify]: Simplify (+ 0 0) into 0 2.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.550 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.550 * [taylor]: Taking taylor expansion of 0 in K 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.550 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.551 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.552 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.552 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.553 * [backup-simplify]: Simplify (- 0) into 0 2.553 * [backup-simplify]: Simplify (+ 0 0) into 0 2.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.555 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.555 * [taylor]: Taking taylor expansion of 0 in K 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 2.555 * * * [progress]: simplifying candidates 2.555 * * * * [progress]: [ 1 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 2 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 3 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 4 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 5 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 6 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 7 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 8 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 9 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 10 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 11 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 12 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 13 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 14 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 15 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 16 / 145 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))> 2.556 * * * * [progress]: [ 17 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 18 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 19 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 20 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 21 / 145 ] simplifiying candidate # 2.556 * * * * [progress]: [ 22 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 23 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 24 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 25 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 26 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 27 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 28 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 29 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 30 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 31 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 32 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 33 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 34 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 35 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 36 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 37 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 38 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 39 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 40 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 41 / 145 ] simplifiying candidate # 2.557 * * * * [progress]: [ 42 / 145 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> 2.557 * * * * [progress]: [ 43 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 44 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 45 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 46 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 47 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 48 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 49 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 50 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 51 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 52 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 53 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 54 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 55 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 56 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 57 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 58 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 59 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 60 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 61 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 62 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 63 / 145 ] simplifiying candidate # 2.558 * * * * [progress]: [ 64 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 65 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 66 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 67 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 68 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 69 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 70 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 71 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 72 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 73 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 74 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 75 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 76 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 77 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 78 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 79 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 80 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 81 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 82 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 83 / 145 ] simplifiying candidate # 2.559 * * * * [progress]: [ 84 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 85 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 86 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 87 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 88 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 89 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 90 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 91 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 92 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 93 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 94 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 95 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 96 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 97 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 98 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 99 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 100 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 101 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 102 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 103 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 104 / 145 ] simplifiying candidate # 2.560 * * * * [progress]: [ 105 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 106 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 107 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 108 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 109 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 110 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 111 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 112 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 113 / 145 ] simplifiying candidate #real (real->posit16 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> 2.561 * * * * [progress]: [ 114 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 115 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 116 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 117 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 118 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 119 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 120 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 121 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 122 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 123 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 124 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 125 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 126 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 127 / 145 ] simplifiying candidate # 2.561 * * * * [progress]: [ 128 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 129 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 130 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 131 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 132 / 145 ] simplifiying candidate #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> 2.562 * * * * [progress]: [ 133 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 134 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 135 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 136 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 137 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 138 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 139 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 140 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 141 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 142 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 143 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 144 / 145 ] simplifiying candidate # 2.562 * * * * [progress]: [ 145 / 145 ] simplifiying candidate # 2.564 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J)))) (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos 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(/ U (* 2 J)) (cos (/ K 2))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ (* (/ U (* (* J J) J)) (/ (* U U) 8)) (cos (/ K 2))) (* (cos (/ K 2)) (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) (* 2 J))) (/ U (* 2 J))) (cos (/ K 2))) (* (cos (/ K 2)) (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))) (/ (/ 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 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(* (/ 1/2 J) (/ 1/2 J)) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* U U) (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2)))) (/ (/ 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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (cbrt U)) (/ (* 2 J) (cbrt U))) (/ (/ (* (sqrt U) (/ U (* 2 J))) (cos (/ K 2))) (* 2 J)) (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J)) (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ (/ 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))))) (/ (cbrt U) (/ (cos (/ K 2)) (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ (* (sqrt U) (/ U (* 2 J))) (cos (/ K 2))) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (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))) (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (real->posit16 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)) (log (* J (* (cos (/ K 2)) 2))) (log (* J (* (cos (/ K 2)) 2))) (log (* J (* (cos (/ K 2)) 2))) (exp (* J (* (cos (/ K 2)) 2))) (* (* (* (* J J) (* 8 J)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (* (* (* (* 2 J) (* 2 J)) (* 2 J)) (cos (/ K 2))) (cos (/ K 2))) (cos (/ K 2))) (* (cbrt (* J (* (cos (/ K 2)) 2))) (cbrt (* J (* (cos (/ K 2)) 2)))) (cbrt (* J (* (cos (/ K 2)) 2))) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2))) (sqrt (* J (* (cos (/ K 2)) 2))) (sqrt (* J (* (cos (/ K 2)) 2))) (* (* (* 2 J) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* 2 (* J (sqrt (cos (/ K 2))))) (* 2 J) (* (cos (/ K 2)) 2) (real->posit16 (* J (* (cos (/ K 2)) 2))) 1 (/ (/ (* U 1/2) J) (cos (* K 1/2))) (/ (/ (* U 1/2) J) (cos (* K 1/2))) (- (* J -2) (* (/ U (/ J U)) 1/4)) (- U) (- U) (+ (* (* (/ U J) (/ U J)) 1/4) (* (/ (* K K) (* (/ J U) (/ J U))) 1/16)) (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) (* 2 J) (* (* 2 (cos (* K 1/2))) J) (* (* 2 (cos (* K 1/2))) J) 3.662 * * * [progress]: adding candidates to table 5.682 * * [progress]: iteration 2 / 4 5.682 * * * [progress]: picking best candidate 5.721 * * * * [pick]: Picked # 5.721 * * * [progress]: localizing error 5.779 * * * [progress]: generating rewritten candidates 5.779 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 5.947 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 6.116 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 6.327 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 6.532 * * * [progress]: generating series expansions 6.532 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 6.533 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 6.533 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 6.533 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.533 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.533 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.533 * [taylor]: Taking taylor expansion of 1/4 in K 6.533 * [backup-simplify]: Simplify 1/4 into 1/4 6.533 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.533 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.533 * [taylor]: Taking taylor expansion of U in K 6.533 * [backup-simplify]: Simplify U into U 6.533 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.533 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.533 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.533 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.533 * [taylor]: Taking taylor expansion of 1/2 in K 6.533 * [backup-simplify]: Simplify 1/2 into 1/2 6.533 * [taylor]: Taking taylor expansion of K in K 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 1 into 1 6.534 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.535 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.535 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.535 * [taylor]: Taking taylor expansion of J in K 6.535 * [backup-simplify]: Simplify J into J 6.535 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.535 * [backup-simplify]: Simplify (* 1 1) into 1 6.535 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.536 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.536 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.536 * [taylor]: Taking taylor expansion of 1 in K 6.536 * [backup-simplify]: Simplify 1 into 1 6.536 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.536 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.536 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.536 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.537 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.537 * [backup-simplify]: Simplify (+ 0) into 0 6.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.538 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 6.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 6.539 * [backup-simplify]: Simplify (+ 0 0) into 0 6.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.540 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.540 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.540 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.540 * [taylor]: Taking taylor expansion of 1/4 in J 6.540 * [backup-simplify]: Simplify 1/4 into 1/4 6.540 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.540 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.540 * [taylor]: Taking taylor expansion of U in J 6.540 * [backup-simplify]: Simplify U into U 6.540 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.540 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.540 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.540 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.540 * [taylor]: Taking taylor expansion of 1/2 in J 6.540 * [backup-simplify]: Simplify 1/2 into 1/2 6.540 * [taylor]: Taking taylor expansion of K in J 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 6.541 * [backup-simplify]: Simplify (- 0) into 0 6.541 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.541 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.541 * [taylor]: Taking taylor expansion of J in J 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify 1 into 1 6.541 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.541 * [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 6.542 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.542 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.542 * [taylor]: Taking taylor expansion of 1 in J 6.542 * [backup-simplify]: Simplify 1 into 1 6.542 * [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))) 6.542 * [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))) 6.543 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.543 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.544 * [backup-simplify]: Simplify (+ 0) into 0 6.544 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.546 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.546 * [backup-simplify]: Simplify (- 0) into 0 6.547 * [backup-simplify]: Simplify (+ 0 0) into 0 6.547 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.548 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.548 * [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 6.549 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.549 * [backup-simplify]: Simplify (+ 0 0) into 0 6.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.550 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.550 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.550 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.550 * [taylor]: Taking taylor expansion of 1/4 in U 6.550 * [backup-simplify]: Simplify 1/4 into 1/4 6.550 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.550 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.550 * [taylor]: Taking taylor expansion of U in U 6.550 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify 1 into 1 6.550 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.550 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.550 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.550 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.550 * [taylor]: Taking taylor expansion of 1/2 in U 6.550 * [backup-simplify]: Simplify 1/2 into 1/2 6.550 * [taylor]: Taking taylor expansion of K in U 6.550 * [backup-simplify]: Simplify K into K 6.550 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.550 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.550 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.550 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.550 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.551 * [backup-simplify]: Simplify (- 0) into 0 6.551 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.551 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.551 * [taylor]: Taking taylor expansion of J in U 6.551 * [backup-simplify]: Simplify J into J 6.551 * [backup-simplify]: Simplify (* 1 1) into 1 6.551 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.551 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.552 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.552 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.552 * [taylor]: Taking taylor expansion of 1 in U 6.552 * [backup-simplify]: Simplify 1 into 1 6.552 * [backup-simplify]: Simplify (+ 0 1) into 1 6.553 * [backup-simplify]: Simplify (sqrt 1) into 1 6.553 * [backup-simplify]: Simplify (+ 0 0) into 0 6.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.554 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.554 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.554 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.554 * [taylor]: Taking taylor expansion of 1/4 in U 6.554 * [backup-simplify]: Simplify 1/4 into 1/4 6.554 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.554 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.554 * [taylor]: Taking taylor expansion of U in U 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.554 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.554 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.554 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.554 * [taylor]: Taking taylor expansion of 1/2 in U 6.554 * [backup-simplify]: Simplify 1/2 into 1/2 6.554 * [taylor]: Taking taylor expansion of K in U 6.554 * [backup-simplify]: Simplify K into K 6.554 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.555 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.555 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.555 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.555 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.555 * [backup-simplify]: Simplify (- 0) into 0 6.555 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.555 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.555 * [taylor]: Taking taylor expansion of J in U 6.556 * [backup-simplify]: Simplify J into J 6.556 * [backup-simplify]: Simplify (* 1 1) into 1 6.556 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.556 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.556 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.556 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.557 * [taylor]: Taking taylor expansion of 1 in U 6.557 * [backup-simplify]: Simplify 1 into 1 6.557 * [backup-simplify]: Simplify (+ 0 1) into 1 6.557 * [backup-simplify]: Simplify (sqrt 1) into 1 6.558 * [backup-simplify]: Simplify (+ 0 0) into 0 6.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.559 * [taylor]: Taking taylor expansion of 1 in J 6.559 * [backup-simplify]: Simplify 1 into 1 6.559 * [taylor]: Taking taylor expansion of 0 in J 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [taylor]: Taking taylor expansion of 1 in K 6.559 * [backup-simplify]: Simplify 1 into 1 6.559 * [backup-simplify]: Simplify 1 into 1 6.559 * [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))) 6.559 * [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)))) 6.561 * [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))) 6.561 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.561 * [taylor]: Taking taylor expansion of 1/8 in J 6.561 * [backup-simplify]: Simplify 1/8 into 1/8 6.561 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.561 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.561 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.561 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.561 * [taylor]: Taking taylor expansion of 1/2 in J 6.561 * [backup-simplify]: Simplify 1/2 into 1/2 6.561 * [taylor]: Taking taylor expansion of K in J 6.561 * [backup-simplify]: Simplify K into K 6.561 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.561 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.561 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.562 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.562 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.562 * [backup-simplify]: Simplify (- 0) into 0 6.562 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.562 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.562 * [taylor]: Taking taylor expansion of J in J 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.562 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.563 * [backup-simplify]: Simplify (* 1 1) into 1 6.563 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.563 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 6.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.564 * [backup-simplify]: Simplify (+ 0) into 0 6.565 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.566 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.567 * [backup-simplify]: Simplify (- 0) into 0 6.567 * [backup-simplify]: Simplify (+ 0 0) into 0 6.567 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.568 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.568 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.568 * [taylor]: Taking taylor expansion of 0 in K 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [taylor]: Taking taylor expansion of 0 in K 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [taylor]: Taking taylor expansion of 0 in K 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.569 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.570 * [backup-simplify]: Simplify (+ 0) into 0 6.570 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.572 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.573 * [backup-simplify]: Simplify (- 0) into 0 6.573 * [backup-simplify]: Simplify (+ 0 0) into 0 6.573 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.574 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.574 * [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 6.575 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.575 * [backup-simplify]: Simplify (+ 0 0) into 0 6.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 6.576 * [taylor]: Taking taylor expansion of 0 in J 6.576 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.578 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.579 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.580 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.581 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.581 * [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 0) (* 0 (cos (* 1/2 K))))) into 0 6.583 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.583 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.583 * [taylor]: Taking taylor expansion of 0 in K 6.583 * [backup-simplify]: Simplify 0 into 0 6.583 * [backup-simplify]: Simplify 0 into 0 6.584 * [taylor]: Taking taylor expansion of 0 in K 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify 1 into 1 6.584 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.584 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 6.584 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.584 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.584 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.584 * [taylor]: Taking taylor expansion of 1/4 in K 6.584 * [backup-simplify]: Simplify 1/4 into 1/4 6.584 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.584 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.585 * [taylor]: Taking taylor expansion of J in K 6.585 * [backup-simplify]: Simplify J into J 6.585 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.585 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.585 * [taylor]: Taking taylor expansion of U in K 6.585 * [backup-simplify]: Simplify U into U 6.585 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.585 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.585 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.585 * [taylor]: Taking taylor expansion of 1/2 in K 6.585 * [backup-simplify]: Simplify 1/2 into 1/2 6.585 * [taylor]: Taking taylor expansion of K in K 6.585 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify 1 into 1 6.585 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.585 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.585 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.586 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.586 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.586 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.586 * [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))) 6.586 * [taylor]: Taking taylor expansion of 1 in K 6.586 * [backup-simplify]: Simplify 1 into 1 6.586 * [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)))) 6.587 * [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) 6.587 * [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)) 6.587 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.587 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.587 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.588 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.588 * [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 6.589 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.589 * [backup-simplify]: Simplify (+ 0 0) into 0 6.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.590 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.590 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.590 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.590 * [taylor]: Taking taylor expansion of 1/4 in J 6.590 * [backup-simplify]: Simplify 1/4 into 1/4 6.590 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.590 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.590 * [taylor]: Taking taylor expansion of J in J 6.590 * [backup-simplify]: Simplify 0 into 0 6.590 * [backup-simplify]: Simplify 1 into 1 6.590 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.590 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.590 * [taylor]: Taking taylor expansion of U in J 6.590 * [backup-simplify]: Simplify U into U 6.590 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.590 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.590 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.590 * [taylor]: Taking taylor expansion of 1/2 in J 6.590 * [backup-simplify]: Simplify 1/2 into 1/2 6.590 * [taylor]: Taking taylor expansion of K in J 6.590 * [backup-simplify]: Simplify K into K 6.590 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.590 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.591 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.591 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.591 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.591 * [backup-simplify]: Simplify (- 0) into 0 6.591 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.592 * [backup-simplify]: Simplify (* 1 1) into 1 6.592 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.592 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.592 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.592 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.592 * [taylor]: Taking taylor expansion of 1 in J 6.592 * [backup-simplify]: Simplify 1 into 1 6.593 * [backup-simplify]: Simplify (+ 0 1) into 1 6.593 * [backup-simplify]: Simplify (sqrt 1) into 1 6.593 * [backup-simplify]: Simplify (+ 0 0) into 0 6.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.594 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.594 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.594 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.594 * [taylor]: Taking taylor expansion of 1/4 in U 6.594 * [backup-simplify]: Simplify 1/4 into 1/4 6.594 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.594 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.594 * [taylor]: Taking taylor expansion of J in U 6.594 * [backup-simplify]: Simplify J into J 6.595 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.595 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.595 * [taylor]: Taking taylor expansion of U in U 6.595 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify 1 into 1 6.595 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.595 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.595 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.595 * [taylor]: Taking taylor expansion of 1/2 in U 6.595 * [backup-simplify]: Simplify 1/2 into 1/2 6.595 * [taylor]: Taking taylor expansion of K in U 6.595 * [backup-simplify]: Simplify K into K 6.595 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.595 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.595 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.595 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.595 * [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 (* J J) into (pow J 2) 6.596 * [backup-simplify]: Simplify (* 1 1) into 1 6.596 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.596 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.597 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.597 * [taylor]: Taking taylor expansion of 1 in U 6.597 * [backup-simplify]: Simplify 1 into 1 6.597 * [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))) 6.597 * [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))) 6.597 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.597 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) 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 (- (/ 0 K) (+ (* (/ 1/2 K) (/ 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 6.600 * [backup-simplify]: Simplify (+ 0 0) into 0 6.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.602 * [backup-simplify]: 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 6.603 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.603 * [backup-simplify]: Simplify (+ 0 0) into 0 6.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.603 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.604 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.604 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.604 * [taylor]: Taking taylor expansion of 1/4 in U 6.604 * [backup-simplify]: Simplify 1/4 into 1/4 6.604 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.604 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.604 * [taylor]: Taking taylor expansion of J in U 6.604 * [backup-simplify]: Simplify J into J 6.604 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.604 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.604 * [taylor]: Taking taylor expansion of U in U 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify 1 into 1 6.604 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.604 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.604 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.604 * [taylor]: Taking taylor expansion of 1/2 in U 6.604 * [backup-simplify]: Simplify 1/2 into 1/2 6.604 * [taylor]: Taking taylor expansion of K in U 6.604 * [backup-simplify]: Simplify K into K 6.604 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.604 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.604 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.604 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.604 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.605 * [backup-simplify]: Simplify (- 0) into 0 6.605 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.605 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.605 * [backup-simplify]: Simplify (* 1 1) into 1 6.606 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.606 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.606 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.606 * [taylor]: Taking taylor expansion of 1 in U 6.606 * [backup-simplify]: Simplify 1 into 1 6.606 * [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))) 6.606 * [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))) 6.607 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.607 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.607 * [backup-simplify]: Simplify (+ 0) into 0 6.608 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.608 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.608 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.609 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.609 * [backup-simplify]: Simplify (- 0) into 0 6.610 * [backup-simplify]: Simplify (+ 0 0) into 0 6.610 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.611 * [backup-simplify]: 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 6.612 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.612 * [backup-simplify]: Simplify (+ 0 0) into 0 6.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 6.613 * [taylor]: Taking taylor expansion of 1/2 in J 6.613 * [backup-simplify]: Simplify 1/2 into 1/2 6.613 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 6.613 * [taylor]: Taking taylor expansion of J in J 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify 1 into 1 6.613 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.613 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.613 * [taylor]: Taking taylor expansion of 1/2 in J 6.613 * [backup-simplify]: Simplify 1/2 into 1/2 6.613 * [taylor]: Taking taylor expansion of K in J 6.613 * [backup-simplify]: Simplify K into K 6.613 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.613 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.613 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.613 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.613 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.614 * [backup-simplify]: Simplify (- 0) into 0 6.614 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.614 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.614 * [taylor]: Taking taylor expansion of 0 in J 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [taylor]: Taking taylor expansion of 0 in K 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 6.614 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 6.615 * [taylor]: Taking taylor expansion of 1/2 in K 6.615 * [backup-simplify]: Simplify 1/2 into 1/2 6.615 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.615 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.615 * [taylor]: Taking taylor expansion of 1/2 in K 6.615 * [backup-simplify]: Simplify 1/2 into 1/2 6.615 * [taylor]: Taking taylor expansion of K in K 6.615 * [backup-simplify]: Simplify 0 into 0 6.615 * [backup-simplify]: Simplify 1 into 1 6.615 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.615 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.615 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.616 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.616 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.617 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.618 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.619 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.619 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.620 * [backup-simplify]: Simplify (- 0) into 0 6.620 * [backup-simplify]: Simplify (+ 0 0) into 0 6.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.625 * [backup-simplify]: 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 6.627 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.627 * [backup-simplify]: Simplify (+ 0 1) into 1 6.628 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 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)) 6.629 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 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 * [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 6.629 * [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)) 6.630 * [backup-simplify]: Simplify (+ 0) into 0 6.630 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.630 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.632 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.632 * [backup-simplify]: Simplify (- 0) into 0 6.632 * [backup-simplify]: Simplify (+ 0 0) into 0 6.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.633 * [taylor]: Taking taylor expansion of 0 in K 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [taylor]: Taking taylor expansion of 0 in K 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify 0 into 0 6.634 * [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 6.635 * [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 6.635 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.636 * [taylor]: Taking taylor expansion of 0 in K 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.637 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.638 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.639 * [backup-simplify]: Simplify (- 0) into 0 6.640 * [backup-simplify]: Simplify (+ 0 0) into 0 6.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.642 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.643 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.643 * [backup-simplify]: Simplify (+ 0 0) into 0 6.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 6.643 * [taylor]: Taking taylor expansion of 0 in J 6.643 * [backup-simplify]: Simplify 0 into 0 6.643 * [taylor]: Taking taylor expansion of 0 in K 6.643 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.644 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.644 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 6.644 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.644 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.644 * [taylor]: Taking taylor expansion of 1 in K 6.644 * [backup-simplify]: Simplify 1 into 1 6.644 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.644 * [taylor]: Taking taylor expansion of 1/4 in K 6.644 * [backup-simplify]: Simplify 1/4 into 1/4 6.644 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.644 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.644 * [taylor]: Taking taylor expansion of J in K 6.644 * [backup-simplify]: Simplify J into J 6.644 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.644 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.644 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.644 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.644 * [taylor]: Taking taylor expansion of -1/2 in K 6.644 * [backup-simplify]: Simplify -1/2 into -1/2 6.644 * [taylor]: Taking taylor expansion of K in K 6.644 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify 1 into 1 6.644 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.644 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.644 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.644 * [taylor]: Taking taylor expansion of U in K 6.644 * [backup-simplify]: Simplify U into U 6.644 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.644 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.645 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.645 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.645 * [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))) 6.645 * [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)))) 6.645 * [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))))) 6.645 * [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)))))) 6.645 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.645 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.646 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.646 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.646 * [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 6.646 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.647 * [backup-simplify]: Simplify (+ 0 0) into 0 6.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.647 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.647 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.647 * [taylor]: Taking taylor expansion of 1 in J 6.647 * [backup-simplify]: Simplify 1 into 1 6.647 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.647 * [taylor]: Taking taylor expansion of 1/4 in J 6.647 * [backup-simplify]: Simplify 1/4 into 1/4 6.647 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.647 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.647 * [taylor]: Taking taylor expansion of J in J 6.647 * [backup-simplify]: Simplify 0 into 0 6.647 * [backup-simplify]: Simplify 1 into 1 6.647 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.647 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.647 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.647 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.647 * [taylor]: Taking taylor expansion of -1/2 in J 6.647 * [backup-simplify]: Simplify -1/2 into -1/2 6.647 * [taylor]: Taking taylor expansion of K in J 6.647 * [backup-simplify]: Simplify K into K 6.647 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.647 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.647 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.647 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.647 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.648 * [backup-simplify]: Simplify (- 0) into 0 6.648 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.648 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.648 * [taylor]: Taking taylor expansion of U in J 6.648 * [backup-simplify]: Simplify U into U 6.648 * [backup-simplify]: Simplify (* 1 1) into 1 6.648 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.648 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.648 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.648 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.649 * [backup-simplify]: Simplify (+ 1 0) into 1 6.649 * [backup-simplify]: Simplify (sqrt 1) into 1 6.649 * [backup-simplify]: Simplify (+ 0 0) into 0 6.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.650 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.650 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.650 * [taylor]: Taking taylor expansion of 1 in U 6.650 * [backup-simplify]: Simplify 1 into 1 6.650 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.650 * [taylor]: Taking taylor expansion of 1/4 in U 6.650 * [backup-simplify]: Simplify 1/4 into 1/4 6.650 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.650 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.650 * [taylor]: Taking taylor expansion of J in U 6.650 * [backup-simplify]: Simplify J into J 6.650 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.650 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.650 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.650 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.650 * [taylor]: Taking taylor expansion of -1/2 in U 6.650 * [backup-simplify]: Simplify -1/2 into -1/2 6.650 * [taylor]: Taking taylor expansion of K in U 6.650 * [backup-simplify]: Simplify K into K 6.650 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.650 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.650 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.650 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.650 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.650 * [backup-simplify]: Simplify (- 0) into 0 6.650 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.650 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.651 * [taylor]: Taking taylor expansion of U in U 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify 1 into 1 6.651 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.651 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.651 * [backup-simplify]: Simplify (* 1 1) into 1 6.651 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.651 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.651 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.651 * [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))) 6.652 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.652 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.652 * [backup-simplify]: Simplify (+ 0) into 0 6.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.654 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.654 * [backup-simplify]: Simplify (- 0) into 0 6.654 * [backup-simplify]: Simplify (+ 0 0) into 0 6.654 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.655 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.655 * [backup-simplify]: 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 6.655 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.655 * [backup-simplify]: Simplify (+ 0 0) into 0 6.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.656 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.656 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.656 * [taylor]: Taking taylor expansion of 1 in U 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.656 * [taylor]: Taking taylor expansion of 1/4 in U 6.656 * [backup-simplify]: Simplify 1/4 into 1/4 6.656 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.656 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.656 * [taylor]: Taking taylor expansion of J in U 6.656 * [backup-simplify]: Simplify J into J 6.656 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.656 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.656 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.656 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.656 * [taylor]: Taking taylor expansion of -1/2 in U 6.656 * [backup-simplify]: Simplify -1/2 into -1/2 6.656 * [taylor]: Taking taylor expansion of K in U 6.656 * [backup-simplify]: Simplify K into K 6.656 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.656 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.656 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.656 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.656 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.656 * [backup-simplify]: Simplify (- 0) into 0 6.656 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.657 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.657 * [taylor]: Taking taylor expansion of U in U 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.657 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.657 * [backup-simplify]: Simplify (* 1 1) into 1 6.657 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.657 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.657 * [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))) 6.657 * [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))) 6.658 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.658 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.658 * [backup-simplify]: Simplify (+ 0) into 0 6.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.659 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.659 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.659 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.660 * [backup-simplify]: Simplify (- 0) into 0 6.660 * [backup-simplify]: Simplify (+ 0 0) into 0 6.660 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.660 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.661 * [backup-simplify]: 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 6.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.661 * [backup-simplify]: Simplify (+ 0 0) into 0 6.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 6.661 * [taylor]: Taking taylor expansion of 1/2 in J 6.661 * [backup-simplify]: Simplify 1/2 into 1/2 6.662 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 6.662 * [taylor]: Taking taylor expansion of J in J 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.662 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.662 * [taylor]: Taking taylor expansion of -1/2 in J 6.662 * [backup-simplify]: Simplify -1/2 into -1/2 6.662 * [taylor]: Taking taylor expansion of K in J 6.662 * [backup-simplify]: Simplify K into K 6.662 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.662 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.662 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.662 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.662 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.662 * [backup-simplify]: Simplify (- 0) into 0 6.662 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.662 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.662 * [taylor]: Taking taylor expansion of 0 in J 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [taylor]: Taking taylor expansion of 0 in K 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 6.662 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 6.662 * [taylor]: Taking taylor expansion of 1/2 in K 6.662 * [backup-simplify]: Simplify 1/2 into 1/2 6.662 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.662 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.662 * [taylor]: Taking taylor expansion of -1/2 in K 6.663 * [backup-simplify]: Simplify -1/2 into -1/2 6.663 * [taylor]: Taking taylor expansion of K in K 6.663 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify 1 into 1 6.663 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.663 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.663 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.663 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.663 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.664 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.665 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.665 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.666 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.666 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.666 * [backup-simplify]: Simplify (- 0) into 0 6.666 * [backup-simplify]: Simplify (+ 0 0) into 0 6.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.667 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.668 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.668 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.669 * [backup-simplify]: Simplify (+ 1 0) into 1 6.669 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 6.669 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.669 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.669 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.669 * [taylor]: Taking taylor expansion of -1/2 in J 6.669 * [backup-simplify]: Simplify -1/2 into -1/2 6.669 * [taylor]: Taking taylor expansion of K in J 6.669 * [backup-simplify]: Simplify K into K 6.669 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.669 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.669 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.669 * [taylor]: Taking taylor expansion of J in J 6.669 * [backup-simplify]: Simplify 0 into 0 6.669 * [backup-simplify]: Simplify 1 into 1 6.669 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.670 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.670 * [backup-simplify]: Simplify (- 0) into 0 6.670 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.670 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.670 * [backup-simplify]: Simplify (+ 0) into 0 6.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.671 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.671 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.672 * [backup-simplify]: Simplify (- 0) into 0 6.672 * [backup-simplify]: Simplify (+ 0 0) into 0 6.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.673 * [taylor]: Taking taylor expansion of 0 in K 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [taylor]: Taking taylor expansion of 0 in K 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify (+ 0) into 0 6.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.673 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.674 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.674 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.674 * [backup-simplify]: Simplify (- 0) into 0 6.675 * [backup-simplify]: Simplify (+ 0 0) into 0 6.675 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.675 * [taylor]: Taking taylor expansion of 0 in K 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.675 * [backup-simplify]: Simplify 0 into 0 6.676 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.677 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.678 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.679 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.679 * [backup-simplify]: Simplify (- 0) into 0 6.679 * [backup-simplify]: Simplify (+ 0 0) into 0 6.680 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.681 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.681 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.682 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.682 * [backup-simplify]: Simplify (+ 0 0) into 0 6.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 6.682 * [taylor]: Taking taylor expansion of 0 in J 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [taylor]: Taking taylor expansion of 0 in K 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.682 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.683 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 6.683 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 6.683 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.683 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.683 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.683 * [taylor]: Taking taylor expansion of 1/4 in K 6.683 * [backup-simplify]: Simplify 1/4 into 1/4 6.683 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.683 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.683 * [taylor]: Taking taylor expansion of U in K 6.683 * [backup-simplify]: Simplify U into U 6.683 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.683 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.683 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.683 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.683 * [taylor]: Taking taylor expansion of 1/2 in K 6.683 * [backup-simplify]: Simplify 1/2 into 1/2 6.683 * [taylor]: Taking taylor expansion of K in K 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 1 into 1 6.684 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.684 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.684 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.684 * [taylor]: Taking taylor expansion of J in K 6.684 * [backup-simplify]: Simplify J into J 6.684 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.684 * [backup-simplify]: Simplify (* 1 1) into 1 6.685 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.685 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.685 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.685 * [taylor]: Taking taylor expansion of 1 in K 6.685 * [backup-simplify]: Simplify 1 into 1 6.685 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.685 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.685 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.685 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.685 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.685 * [backup-simplify]: Simplify (+ 0) into 0 6.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.686 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 6.687 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 6.687 * [backup-simplify]: Simplify (+ 0 0) into 0 6.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.687 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.687 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.687 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.687 * [taylor]: Taking taylor expansion of 1/4 in J 6.687 * [backup-simplify]: Simplify 1/4 into 1/4 6.687 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.687 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.687 * [taylor]: Taking taylor expansion of U in J 6.687 * [backup-simplify]: Simplify U into U 6.687 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.687 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) 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)) 6.687 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 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 * [taylor]: Taking taylor expansion of (pow J 2) in J 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 (* U U) into (pow U 2) 6.688 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.688 * [backup-simplify]: Simplify (* 1 1) into 1 6.688 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.688 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.689 * [taylor]: Taking taylor expansion of 1 in J 6.689 * [backup-simplify]: Simplify 1 into 1 6.689 * [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))) 6.689 * [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))) 6.689 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.689 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.690 * [backup-simplify]: Simplify (+ 0) into 0 6.690 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.691 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.691 * [backup-simplify]: Simplify (- 0) into 0 6.691 * [backup-simplify]: Simplify (+ 0 0) into 0 6.692 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.692 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.692 * [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 6.692 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.693 * [backup-simplify]: Simplify (+ 0 0) into 0 6.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.693 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.693 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.693 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.693 * [taylor]: Taking taylor expansion of 1/4 in U 6.693 * [backup-simplify]: Simplify 1/4 into 1/4 6.693 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.693 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.693 * [taylor]: Taking taylor expansion of U in U 6.693 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify 1 into 1 6.693 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.693 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.693 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.693 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.693 * [taylor]: Taking taylor expansion of 1/2 in U 6.693 * [backup-simplify]: Simplify 1/2 into 1/2 6.693 * [taylor]: Taking taylor expansion of K in U 6.693 * [backup-simplify]: Simplify K into K 6.693 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.693 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.693 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.693 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.693 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.694 * [backup-simplify]: Simplify (- 0) into 0 6.694 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.694 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.694 * [taylor]: Taking taylor expansion of J in U 6.694 * [backup-simplify]: Simplify J into J 6.694 * [backup-simplify]: Simplify (* 1 1) into 1 6.694 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.694 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.694 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.694 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.694 * [taylor]: Taking taylor expansion of 1 in U 6.694 * [backup-simplify]: Simplify 1 into 1 6.695 * [backup-simplify]: Simplify (+ 0 1) into 1 6.695 * [backup-simplify]: Simplify (sqrt 1) into 1 6.695 * [backup-simplify]: Simplify (+ 0 0) into 0 6.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.696 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.696 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.696 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.696 * [taylor]: Taking taylor expansion of 1/4 in U 6.696 * [backup-simplify]: Simplify 1/4 into 1/4 6.696 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.696 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.696 * [taylor]: Taking taylor expansion of U in U 6.696 * [backup-simplify]: Simplify 0 into 0 6.696 * [backup-simplify]: Simplify 1 into 1 6.696 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.696 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.696 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.696 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.696 * [taylor]: Taking taylor expansion of 1/2 in U 6.696 * [backup-simplify]: Simplify 1/2 into 1/2 6.696 * [taylor]: Taking taylor expansion of K in U 6.696 * [backup-simplify]: Simplify K into K 6.696 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.696 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.696 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.696 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.696 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.696 * [backup-simplify]: Simplify (- 0) into 0 6.696 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.696 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.696 * [taylor]: Taking taylor expansion of J in U 6.697 * [backup-simplify]: Simplify J into J 6.697 * [backup-simplify]: Simplify (* 1 1) into 1 6.697 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.697 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.697 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.697 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.697 * [taylor]: Taking taylor expansion of 1 in U 6.697 * [backup-simplify]: Simplify 1 into 1 6.697 * [backup-simplify]: Simplify (+ 0 1) into 1 6.698 * [backup-simplify]: Simplify (sqrt 1) into 1 6.698 * [backup-simplify]: Simplify (+ 0 0) into 0 6.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.699 * [taylor]: Taking taylor expansion of 1 in J 6.699 * [backup-simplify]: Simplify 1 into 1 6.699 * [taylor]: Taking taylor expansion of 0 in J 6.699 * [backup-simplify]: Simplify 0 into 0 6.699 * [taylor]: Taking taylor expansion of 1 in K 6.699 * [backup-simplify]: Simplify 1 into 1 6.699 * [backup-simplify]: Simplify 1 into 1 6.700 * [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))) 6.700 * [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)))) 6.701 * [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))) 6.701 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.701 * [taylor]: Taking taylor expansion of 1/8 in J 6.701 * [backup-simplify]: Simplify 1/8 into 1/8 6.701 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.701 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.701 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.701 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.701 * [taylor]: Taking taylor expansion of 1/2 in J 6.701 * [backup-simplify]: Simplify 1/2 into 1/2 6.701 * [taylor]: Taking taylor expansion of K in J 6.701 * [backup-simplify]: Simplify K into K 6.702 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.702 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.702 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.702 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.702 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.702 * [backup-simplify]: Simplify (- 0) into 0 6.702 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.702 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.702 * [taylor]: Taking taylor expansion of J in J 6.702 * [backup-simplify]: Simplify 0 into 0 6.702 * [backup-simplify]: Simplify 1 into 1 6.703 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.703 * [backup-simplify]: Simplify (* 1 1) into 1 6.703 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.703 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 6.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.704 * [backup-simplify]: Simplify (+ 0) into 0 6.705 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.706 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.707 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.707 * [backup-simplify]: Simplify (- 0) into 0 6.707 * [backup-simplify]: Simplify (+ 0 0) into 0 6.707 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.708 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.708 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.708 * [taylor]: Taking taylor expansion of 0 in K 6.708 * [backup-simplify]: Simplify 0 into 0 6.708 * [backup-simplify]: Simplify 0 into 0 6.708 * [taylor]: Taking taylor expansion of 0 in K 6.708 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [taylor]: Taking taylor expansion of 0 in K 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.709 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.710 * [backup-simplify]: Simplify (+ 0) into 0 6.710 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.712 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.712 * [backup-simplify]: Simplify (- 0) into 0 6.713 * [backup-simplify]: Simplify (+ 0 0) into 0 6.713 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.713 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.714 * [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 6.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.715 * [backup-simplify]: Simplify (+ 0 0) into 0 6.716 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 6.716 * [taylor]: Taking taylor expansion of 0 in J 6.716 * [backup-simplify]: Simplify 0 into 0 6.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.718 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.720 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.721 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.721 * [backup-simplify]: Simplify (- 0) into 0 6.721 * [backup-simplify]: Simplify (+ 0 0) into 0 6.722 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.723 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.723 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.723 * [taylor]: Taking taylor expansion of 0 in K 6.723 * [backup-simplify]: Simplify 0 into 0 6.723 * [backup-simplify]: Simplify 0 into 0 6.723 * [taylor]: Taking taylor expansion of 0 in K 6.724 * [backup-simplify]: Simplify 0 into 0 6.724 * [backup-simplify]: Simplify 0 into 0 6.724 * [backup-simplify]: Simplify 1 into 1 6.724 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.724 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 6.724 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.724 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.724 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.724 * [taylor]: Taking taylor expansion of 1/4 in K 6.724 * [backup-simplify]: Simplify 1/4 into 1/4 6.725 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.725 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.725 * [taylor]: Taking taylor expansion of J in K 6.725 * [backup-simplify]: Simplify J into J 6.725 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.725 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.725 * [taylor]: Taking taylor expansion of U in K 6.725 * [backup-simplify]: Simplify U into U 6.725 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.725 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.725 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.725 * [taylor]: Taking taylor expansion of 1/2 in K 6.725 * [backup-simplify]: Simplify 1/2 into 1/2 6.725 * [taylor]: Taking taylor expansion of K in K 6.725 * [backup-simplify]: Simplify 0 into 0 6.725 * [backup-simplify]: Simplify 1 into 1 6.725 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.725 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.726 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.726 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.726 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.726 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.726 * [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))) 6.726 * [taylor]: Taking taylor expansion of 1 in K 6.726 * [backup-simplify]: Simplify 1 into 1 6.726 * [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)))) 6.726 * [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) 6.726 * [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)) 6.727 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.727 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.727 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.727 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.727 * [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 6.728 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.728 * [backup-simplify]: Simplify (+ 0 0) into 0 6.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.728 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.728 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.728 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.728 * [taylor]: Taking taylor expansion of 1/4 in J 6.728 * [backup-simplify]: Simplify 1/4 into 1/4 6.728 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.728 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.728 * [taylor]: Taking taylor expansion of J in J 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 1 into 1 6.728 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.728 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.728 * [taylor]: Taking taylor expansion of U in J 6.728 * [backup-simplify]: Simplify U into U 6.728 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.728 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.728 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.728 * [taylor]: Taking taylor expansion of 1/2 in J 6.728 * [backup-simplify]: Simplify 1/2 into 1/2 6.729 * [taylor]: Taking taylor expansion of K in J 6.729 * [backup-simplify]: Simplify K into K 6.729 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.729 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.729 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.729 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.729 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.729 * [backup-simplify]: Simplify (- 0) into 0 6.729 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.729 * [backup-simplify]: Simplify (* 1 1) into 1 6.729 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.729 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.730 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.730 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.730 * [taylor]: Taking taylor expansion of 1 in J 6.730 * [backup-simplify]: Simplify 1 into 1 6.730 * [backup-simplify]: Simplify (+ 0 1) into 1 6.730 * [backup-simplify]: Simplify (sqrt 1) into 1 6.732 * [backup-simplify]: Simplify (+ 0 0) into 0 6.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.733 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.733 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.733 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.733 * [taylor]: Taking taylor expansion of 1/4 in U 6.733 * [backup-simplify]: Simplify 1/4 into 1/4 6.733 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.733 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.733 * [taylor]: Taking taylor expansion of J in U 6.733 * [backup-simplify]: Simplify J into J 6.733 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.733 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.733 * [taylor]: Taking taylor expansion of U in U 6.733 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify 1 into 1 6.733 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.733 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.733 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.733 * [taylor]: Taking taylor expansion of 1/2 in U 6.733 * [backup-simplify]: Simplify 1/2 into 1/2 6.733 * [taylor]: Taking taylor expansion of K in U 6.733 * [backup-simplify]: Simplify K into K 6.733 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.733 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.733 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.733 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.733 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.734 * [backup-simplify]: Simplify (- 0) into 0 6.734 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.734 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.734 * [backup-simplify]: Simplify (* 1 1) into 1 6.734 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.734 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.734 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.734 * [taylor]: Taking taylor expansion of 1 in U 6.734 * [backup-simplify]: Simplify 1 into 1 6.734 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.735 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.735 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.735 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.735 * [backup-simplify]: Simplify (+ 0) into 0 6.735 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.736 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.736 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.737 * [backup-simplify]: Simplify (- 0) into 0 6.737 * [backup-simplify]: Simplify (+ 0 0) into 0 6.737 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.738 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.738 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.739 * [backup-simplify]: Simplify (+ 0 0) into 0 6.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.739 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.739 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.739 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.739 * [taylor]: Taking taylor expansion of 1/4 in U 6.739 * [backup-simplify]: Simplify 1/4 into 1/4 6.739 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.739 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.739 * [taylor]: Taking taylor expansion of J in U 6.739 * [backup-simplify]: Simplify J into J 6.739 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.739 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.739 * [taylor]: Taking taylor expansion of U in U 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 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 * [backup-simplify]: Simplify (* J J) into (pow J 2) 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 (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.740 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.740 * [taylor]: Taking taylor expansion of 1 in U 6.740 * [backup-simplify]: Simplify 1 into 1 6.740 * [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))) 6.740 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.741 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.741 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.741 * [backup-simplify]: Simplify (+ 0) into 0 6.741 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.741 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.742 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.742 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.742 * [backup-simplify]: Simplify (- 0) into 0 6.743 * [backup-simplify]: Simplify (+ 0 0) into 0 6.743 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.744 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.744 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.744 * [backup-simplify]: Simplify (+ 0 0) into 0 6.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 6.745 * [taylor]: Taking taylor expansion of 1/2 in J 6.745 * [backup-simplify]: Simplify 1/2 into 1/2 6.745 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 6.745 * [taylor]: Taking taylor expansion of J in J 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify 1 into 1 6.745 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.745 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.745 * [taylor]: Taking taylor expansion of 1/2 in J 6.745 * [backup-simplify]: Simplify 1/2 into 1/2 6.745 * [taylor]: Taking taylor expansion of K in J 6.745 * [backup-simplify]: Simplify K into K 6.745 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.745 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.745 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.745 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.745 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.745 * [backup-simplify]: Simplify (- 0) into 0 6.745 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.745 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.745 * [taylor]: Taking taylor expansion of 0 in J 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [taylor]: Taking taylor expansion of 0 in K 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 6.746 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 6.746 * [taylor]: Taking taylor expansion of 1/2 in K 6.746 * [backup-simplify]: Simplify 1/2 into 1/2 6.746 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.746 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.746 * [taylor]: Taking taylor expansion of 1/2 in K 6.746 * [backup-simplify]: Simplify 1/2 into 1/2 6.746 * [taylor]: Taking taylor expansion of K in K 6.746 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify 1 into 1 6.746 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.746 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.746 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.746 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.746 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.747 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.747 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.748 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.748 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.748 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.749 * [backup-simplify]: Simplify (- 0) into 0 6.749 * [backup-simplify]: Simplify (+ 0 0) into 0 6.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.751 * [backup-simplify]: 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 6.751 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.751 * [backup-simplify]: Simplify (+ 0 1) into 1 6.752 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 6.752 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.752 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.752 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.752 * [taylor]: Taking taylor expansion of 1/2 in J 6.752 * [backup-simplify]: Simplify 1/2 into 1/2 6.752 * [taylor]: Taking taylor expansion of K in J 6.752 * [backup-simplify]: Simplify K into K 6.752 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.752 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.752 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.752 * [taylor]: Taking taylor expansion of J in J 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify 1 into 1 6.752 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.752 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.753 * [backup-simplify]: Simplify (- 0) into 0 6.753 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.753 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.753 * [backup-simplify]: Simplify (+ 0) into 0 6.753 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.753 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.754 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.755 * [backup-simplify]: Simplify (- 0) into 0 6.755 * [backup-simplify]: Simplify (+ 0 0) into 0 6.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.756 * [taylor]: Taking taylor expansion of 0 in K 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [taylor]: Taking taylor expansion of 0 in K 6.756 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify (+ 0) into 0 6.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.758 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.758 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.759 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.759 * [backup-simplify]: Simplify (- 0) into 0 6.760 * [backup-simplify]: Simplify (+ 0 0) into 0 6.760 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.761 * [taylor]: Taking taylor expansion of 0 in K 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.761 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.763 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.764 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.764 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.766 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.767 * [backup-simplify]: Simplify (- 0) into 0 6.767 * [backup-simplify]: Simplify (+ 0 0) into 0 6.768 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.770 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.771 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.772 * [backup-simplify]: Simplify (+ 0 0) into 0 6.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 6.772 * [taylor]: Taking taylor expansion of 0 in J 6.772 * [backup-simplify]: Simplify 0 into 0 6.772 * [taylor]: Taking taylor expansion of 0 in K 6.772 * [backup-simplify]: Simplify 0 into 0 6.772 * [backup-simplify]: Simplify 0 into 0 6.772 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.772 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.772 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 6.772 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.772 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.772 * [taylor]: Taking taylor expansion of 1 in K 6.772 * [backup-simplify]: Simplify 1 into 1 6.772 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.772 * [taylor]: Taking taylor expansion of 1/4 in K 6.772 * [backup-simplify]: Simplify 1/4 into 1/4 6.772 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.773 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.773 * [taylor]: Taking taylor expansion of J in K 6.773 * [backup-simplify]: Simplify J into J 6.773 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.773 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.773 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.773 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.773 * [taylor]: Taking taylor expansion of -1/2 in K 6.773 * [backup-simplify]: Simplify -1/2 into -1/2 6.773 * [taylor]: Taking taylor expansion of K in K 6.773 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify 1 into 1 6.773 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.773 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.773 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.773 * [taylor]: Taking taylor expansion of U in K 6.773 * [backup-simplify]: Simplify U into U 6.773 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.773 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.773 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.773 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.774 * [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))) 6.774 * [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)))) 6.774 * [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))))) 6.774 * [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)))))) 6.774 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.774 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.774 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.774 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.775 * [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 6.775 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.776 * [backup-simplify]: Simplify (+ 0 0) into 0 6.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.776 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.776 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.776 * [taylor]: Taking taylor expansion of 1 in J 6.776 * [backup-simplify]: Simplify 1 into 1 6.776 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.776 * [taylor]: Taking taylor expansion of 1/4 in J 6.776 * [backup-simplify]: Simplify 1/4 into 1/4 6.776 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.776 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.776 * [taylor]: Taking taylor expansion of J in J 6.776 * [backup-simplify]: Simplify 0 into 0 6.776 * [backup-simplify]: Simplify 1 into 1 6.776 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.776 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.776 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.776 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.776 * [taylor]: Taking taylor expansion of -1/2 in J 6.776 * [backup-simplify]: Simplify -1/2 into -1/2 6.776 * [taylor]: Taking taylor expansion of K in J 6.776 * [backup-simplify]: Simplify K into K 6.776 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.776 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.776 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.776 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.777 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.777 * [backup-simplify]: Simplify (- 0) into 0 6.777 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.777 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.777 * [taylor]: Taking taylor expansion of U in J 6.777 * [backup-simplify]: Simplify U into U 6.777 * [backup-simplify]: Simplify (* 1 1) into 1 6.777 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.777 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.777 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.778 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.778 * [backup-simplify]: Simplify (+ 1 0) into 1 6.778 * [backup-simplify]: Simplify (sqrt 1) into 1 6.778 * [backup-simplify]: Simplify (+ 0 0) into 0 6.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.779 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.779 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.779 * [taylor]: Taking taylor expansion of 1 in U 6.779 * [backup-simplify]: Simplify 1 into 1 6.779 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.779 * [taylor]: Taking taylor expansion of 1/4 in U 6.779 * [backup-simplify]: Simplify 1/4 into 1/4 6.779 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.779 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.779 * [taylor]: Taking taylor expansion of J in U 6.779 * [backup-simplify]: Simplify J into J 6.779 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.779 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.779 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.779 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.779 * [taylor]: Taking taylor expansion of -1/2 in U 6.779 * [backup-simplify]: Simplify -1/2 into -1/2 6.779 * [taylor]: Taking taylor expansion of K in U 6.779 * [backup-simplify]: Simplify K into K 6.779 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.779 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.779 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.779 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.779 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.780 * [backup-simplify]: Simplify (- 0) into 0 6.780 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.780 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.780 * [taylor]: Taking taylor expansion of U in U 6.780 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.780 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.780 * [backup-simplify]: Simplify (* 1 1) into 1 6.780 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.780 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.780 * [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))) 6.780 * [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))) 6.781 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.781 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.781 * [backup-simplify]: Simplify (+ 0) into 0 6.782 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.782 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.782 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.783 * [backup-simplify]: Simplify (- 0) into 0 6.783 * [backup-simplify]: Simplify (+ 0 0) into 0 6.783 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.783 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.784 * [backup-simplify]: 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 6.784 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.785 * [backup-simplify]: Simplify (+ 0 0) into 0 6.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.785 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.785 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.785 * [taylor]: Taking taylor expansion of 1 in U 6.785 * [backup-simplify]: Simplify 1 into 1 6.785 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.785 * [taylor]: Taking taylor expansion of 1/4 in U 6.785 * [backup-simplify]: Simplify 1/4 into 1/4 6.785 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.785 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.785 * [taylor]: Taking taylor expansion of J in U 6.785 * [backup-simplify]: Simplify J into J 6.785 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.785 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.785 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.785 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.785 * [taylor]: Taking taylor expansion of -1/2 in U 6.785 * [backup-simplify]: Simplify -1/2 into -1/2 6.785 * [taylor]: Taking taylor expansion of K in U 6.785 * [backup-simplify]: Simplify K into K 6.785 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.785 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.785 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.785 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.785 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.786 * [backup-simplify]: Simplify (- 0) into 0 6.786 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.786 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.786 * [taylor]: Taking taylor expansion of U in U 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 1 into 1 6.786 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.786 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.786 * [backup-simplify]: Simplify (* 1 1) into 1 6.786 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.786 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.786 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.786 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.787 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.787 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.787 * [backup-simplify]: Simplify (+ 0) into 0 6.788 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.788 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.788 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.789 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.789 * [backup-simplify]: Simplify (- 0) into 0 6.789 * [backup-simplify]: Simplify (+ 0 0) into 0 6.789 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.790 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.790 * [backup-simplify]: 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 6.790 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.791 * [backup-simplify]: Simplify (+ 0 0) into 0 6.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 6.791 * [taylor]: Taking taylor expansion of 1/2 in J 6.791 * [backup-simplify]: Simplify 1/2 into 1/2 6.791 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 6.791 * [taylor]: Taking taylor expansion of J in J 6.791 * [backup-simplify]: Simplify 0 into 0 6.791 * [backup-simplify]: Simplify 1 into 1 6.791 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.791 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.791 * [taylor]: Taking taylor expansion of -1/2 in J 6.791 * [backup-simplify]: Simplify -1/2 into -1/2 6.791 * [taylor]: Taking taylor expansion of K in J 6.791 * [backup-simplify]: Simplify K into K 6.791 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.791 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.791 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.791 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.791 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.791 * [backup-simplify]: Simplify (- 0) into 0 6.792 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.792 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.792 * [taylor]: Taking taylor expansion of 0 in J 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [taylor]: Taking taylor expansion of 0 in K 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 6.792 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 6.792 * [taylor]: Taking taylor expansion of 1/2 in K 6.792 * [backup-simplify]: Simplify 1/2 into 1/2 6.792 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.792 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.792 * [taylor]: Taking taylor expansion of -1/2 in K 6.792 * [backup-simplify]: Simplify -1/2 into -1/2 6.792 * [taylor]: Taking taylor expansion of K in K 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify 1 into 1 6.792 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.792 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.792 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.792 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.793 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.794 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.794 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.794 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.795 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.795 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.796 * [backup-simplify]: Simplify (- 0) into 0 6.796 * [backup-simplify]: Simplify (+ 0 0) into 0 6.796 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.797 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.797 * [backup-simplify]: 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 6.798 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.798 * [backup-simplify]: Simplify (+ 1 0) into 1 6.799 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 6.799 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.799 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.799 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.799 * [taylor]: Taking taylor expansion of -1/2 in J 6.799 * [backup-simplify]: Simplify -1/2 into -1/2 6.799 * [taylor]: Taking taylor expansion of K in J 6.799 * [backup-simplify]: Simplify K into K 6.799 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.799 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.799 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.799 * [taylor]: Taking taylor expansion of J in J 6.799 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify 1 into 1 6.800 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.800 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.800 * [backup-simplify]: Simplify (- 0) into 0 6.800 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.800 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.801 * [backup-simplify]: Simplify (+ 0) into 0 6.801 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.801 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.803 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.803 * [backup-simplify]: Simplify (- 0) into 0 6.803 * [backup-simplify]: Simplify (+ 0 0) into 0 6.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.804 * [taylor]: Taking taylor expansion of 0 in K 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [taylor]: Taking taylor expansion of 0 in K 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 0 into 0 6.805 * [backup-simplify]: Simplify (+ 0) into 0 6.805 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.806 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.806 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.807 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.807 * [backup-simplify]: Simplify (- 0) into 0 6.808 * [backup-simplify]: Simplify (+ 0 0) into 0 6.808 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.808 * [taylor]: Taking taylor expansion of 0 in K 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.809 * [backup-simplify]: Simplify 0 into 0 6.810 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.811 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.812 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.813 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.814 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.815 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.815 * [backup-simplify]: Simplify (- 0) into 0 6.816 * [backup-simplify]: Simplify (+ 0 0) into 0 6.816 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.817 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.818 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.819 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.820 * [backup-simplify]: Simplify (+ 0 0) into 0 6.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 6.820 * [taylor]: Taking taylor expansion of 0 in J 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [taylor]: Taking taylor expansion of 0 in K 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.821 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.821 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 6.821 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 6.821 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 6.821 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 6.821 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 6.821 * [taylor]: Taking taylor expansion of 1/4 in K 6.821 * [backup-simplify]: Simplify 1/4 into 1/4 6.821 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.821 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.822 * [taylor]: Taking taylor expansion of 1/4 in K 6.822 * [backup-simplify]: Simplify 1/4 into 1/4 6.822 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.822 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.822 * [taylor]: Taking taylor expansion of U in K 6.822 * [backup-simplify]: Simplify U into U 6.822 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.822 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.822 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.822 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.822 * [taylor]: Taking taylor expansion of 1/2 in K 6.822 * [backup-simplify]: Simplify 1/2 into 1/2 6.822 * [taylor]: Taking taylor expansion of K in K 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.823 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.823 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.823 * [taylor]: Taking taylor expansion of J in K 6.823 * [backup-simplify]: Simplify J into J 6.823 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.824 * [backup-simplify]: Simplify (* 1 1) into 1 6.824 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.824 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.824 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.824 * [taylor]: Taking taylor expansion of 1 in K 6.824 * [backup-simplify]: Simplify 1 into 1 6.824 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.824 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.825 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.825 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 6.825 * [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) 6.825 * [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 6.825 * [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 6.825 * [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 6.825 * [taylor]: Taking taylor expansion of 1/4 in J 6.825 * [backup-simplify]: Simplify 1/4 into 1/4 6.825 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.826 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.826 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.826 * [taylor]: Taking taylor expansion of 1/4 in J 6.826 * [backup-simplify]: Simplify 1/4 into 1/4 6.826 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.826 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.826 * [taylor]: Taking taylor expansion of U in J 6.826 * [backup-simplify]: Simplify U into U 6.826 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.826 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.826 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.826 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.826 * [taylor]: Taking taylor expansion of 1/2 in J 6.826 * [backup-simplify]: Simplify 1/2 into 1/2 6.826 * [taylor]: Taking taylor expansion of K in J 6.826 * [backup-simplify]: Simplify K into K 6.826 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.826 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.826 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.826 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.826 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.827 * [backup-simplify]: Simplify (- 0) into 0 6.827 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.827 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.827 * [taylor]: Taking taylor expansion of J in J 6.827 * [backup-simplify]: Simplify 0 into 0 6.827 * [backup-simplify]: Simplify 1 into 1 6.827 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.827 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.827 * [backup-simplify]: Simplify (* 1 1) into 1 6.828 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.828 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.828 * [taylor]: Taking taylor expansion of 1 in J 6.828 * [backup-simplify]: Simplify 1 into 1 6.828 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.828 * [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))) 6.829 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 6.829 * [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))) 6.830 * [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)))) 6.830 * [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))))) 6.830 * [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 6.830 * [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 6.830 * [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 6.830 * [taylor]: Taking taylor expansion of 1/4 in U 6.830 * [backup-simplify]: Simplify 1/4 into 1/4 6.830 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.830 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.830 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.830 * [taylor]: Taking taylor expansion of 1/4 in U 6.830 * [backup-simplify]: Simplify 1/4 into 1/4 6.830 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.830 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.830 * [taylor]: Taking taylor expansion of U in U 6.830 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify 1 into 1 6.830 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.830 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.830 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.830 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.831 * [taylor]: Taking taylor expansion of 1/2 in U 6.831 * [backup-simplify]: Simplify 1/2 into 1/2 6.831 * [taylor]: Taking taylor expansion of K in U 6.831 * [backup-simplify]: Simplify K into K 6.831 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.831 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.831 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.831 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.831 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.831 * [backup-simplify]: Simplify (- 0) into 0 6.831 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.831 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.832 * [taylor]: Taking taylor expansion of J in U 6.832 * [backup-simplify]: Simplify J into J 6.832 * [backup-simplify]: Simplify (* 1 1) into 1 6.832 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.832 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.832 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.833 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.833 * [taylor]: Taking taylor expansion of 1 in U 6.833 * [backup-simplify]: Simplify 1 into 1 6.833 * [backup-simplify]: Simplify (+ 0 1) into 1 6.833 * [backup-simplify]: Simplify (log 1) into 0 6.834 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.835 * [backup-simplify]: Simplify (+ 0 0) into 0 6.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.837 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.838 * [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))) 6.838 * [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)))) 6.840 * [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))) 6.841 * [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)))) 6.841 * [backup-simplify]: Simplify (exp 0) into 1 6.841 * [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 6.841 * [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 6.841 * [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 6.841 * [taylor]: Taking taylor expansion of 1/4 in U 6.841 * [backup-simplify]: Simplify 1/4 into 1/4 6.841 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.841 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.841 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.841 * [taylor]: Taking taylor expansion of 1/4 in U 6.841 * [backup-simplify]: Simplify 1/4 into 1/4 6.841 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.842 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.842 * [taylor]: Taking taylor expansion of U in U 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 J 2)) in U 6.842 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.842 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.842 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.842 * [taylor]: Taking taylor expansion of 1/2 in U 6.842 * [backup-simplify]: Simplify 1/2 into 1/2 6.842 * [taylor]: Taking taylor expansion of K in U 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 J 2) in U 6.843 * [taylor]: Taking taylor expansion of J in U 6.843 * [backup-simplify]: Simplify J into J 6.843 * [backup-simplify]: Simplify (* 1 1) into 1 6.843 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.843 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.843 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.844 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.844 * [taylor]: Taking taylor expansion of 1 in U 6.844 * [backup-simplify]: Simplify 1 into 1 6.844 * [backup-simplify]: Simplify (+ 0 1) into 1 6.845 * [backup-simplify]: Simplify (log 1) into 0 6.845 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.845 * [backup-simplify]: Simplify (+ 0 0) into 0 6.847 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.847 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.848 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.848 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.851 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.851 * [backup-simplify]: Simplify (exp 0) into 1 6.851 * [taylor]: Taking taylor expansion of 1 in J 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [taylor]: Taking taylor expansion of 1 in K 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [backup-simplify]: Simplify 1 into 1 6.852 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 6.852 * [taylor]: Taking taylor expansion of 0 in J 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [taylor]: Taking taylor expansion of 0 in K 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [taylor]: Taking taylor expansion of 0 in K 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [backup-simplify]: Simplify 0 into 0 6.856 * [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))) 6.856 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.856 * [taylor]: Taking taylor expansion of 1/16 in J 6.856 * [backup-simplify]: Simplify 1/16 into 1/16 6.856 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.856 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.856 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.856 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.856 * [taylor]: Taking taylor expansion of 1/2 in J 6.856 * [backup-simplify]: Simplify 1/2 into 1/2 6.856 * [taylor]: Taking taylor expansion of K in J 6.856 * [backup-simplify]: Simplify K into K 6.856 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.856 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.857 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.857 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.857 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.857 * [backup-simplify]: Simplify (- 0) into 0 6.857 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.857 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.857 * [taylor]: Taking taylor expansion of J in J 6.857 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 1 into 1 6.858 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.858 * [backup-simplify]: Simplify (* 1 1) into 1 6.858 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.858 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 6.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.860 * [backup-simplify]: Simplify (+ 0) into 0 6.860 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.862 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.862 * [backup-simplify]: Simplify (- 0) into 0 6.862 * [backup-simplify]: Simplify (+ 0 0) into 0 6.862 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.863 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.864 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.865 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.865 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.865 * [backup-simplify]: Simplify (- 0) into 0 6.865 * [backup-simplify]: Simplify (+ 0 0) into 0 6.866 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.866 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.866 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.867 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.867 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.867 * [taylor]: Taking taylor expansion of 0 in K 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [taylor]: Taking taylor expansion of 0 in K 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [taylor]: Taking taylor expansion of 0 in K 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 1 into 1 6.868 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 6.868 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 6.868 * [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 6.868 * [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 6.868 * [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 6.868 * [taylor]: Taking taylor expansion of 1/4 in K 6.868 * [backup-simplify]: Simplify 1/4 into 1/4 6.868 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.868 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.868 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.868 * [taylor]: Taking taylor expansion of 1/4 in K 6.868 * [backup-simplify]: Simplify 1/4 into 1/4 6.868 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.868 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.868 * [taylor]: Taking taylor expansion of J in K 6.868 * [backup-simplify]: Simplify J into J 6.868 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.868 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.868 * [taylor]: Taking taylor expansion of U in K 6.868 * [backup-simplify]: Simplify U into U 6.868 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.868 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.868 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.868 * [taylor]: Taking taylor expansion of 1/2 in K 6.868 * [backup-simplify]: Simplify 1/2 into 1/2 6.868 * [taylor]: Taking taylor expansion of K in K 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.868 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.868 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.868 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.868 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.869 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.869 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.869 * [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))) 6.869 * [taylor]: Taking taylor expansion of 1 in K 6.869 * [backup-simplify]: Simplify 1 into 1 6.869 * [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)))) 6.869 * [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) 6.870 * [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)) 6.870 * [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))) 6.870 * [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) 6.870 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 6.870 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 6.870 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 6.870 * [taylor]: Taking taylor expansion of 1/4 in J 6.870 * [backup-simplify]: Simplify 1/4 into 1/4 6.870 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.870 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.870 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.870 * [taylor]: Taking taylor expansion of 1/4 in J 6.870 * [backup-simplify]: Simplify 1/4 into 1/4 6.870 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.870 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.870 * [taylor]: Taking taylor expansion of J in J 6.870 * [backup-simplify]: Simplify 0 into 0 6.870 * [backup-simplify]: Simplify 1 into 1 6.870 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.870 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.870 * [taylor]: Taking taylor expansion of U in J 6.870 * [backup-simplify]: Simplify U into U 6.870 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.870 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.870 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.870 * [taylor]: Taking taylor expansion of 1/2 in J 6.870 * [backup-simplify]: Simplify 1/2 into 1/2 6.870 * [taylor]: Taking taylor expansion of K in J 6.870 * [backup-simplify]: Simplify K into K 6.870 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.871 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.871 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.871 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.871 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.871 * [backup-simplify]: Simplify (- 0) into 0 6.871 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.871 * [backup-simplify]: Simplify (* 1 1) into 1 6.871 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.871 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.871 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.872 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.872 * [taylor]: Taking taylor expansion of 1 in J 6.872 * [backup-simplify]: Simplify 1 into 1 6.872 * [backup-simplify]: Simplify (+ 0 1) into 1 6.872 * [backup-simplify]: Simplify (log 1) into 0 6.872 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.873 * [backup-simplify]: Simplify (+ 0 0) into 0 6.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.874 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.874 * [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))) 6.874 * [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)))) 6.875 * [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))) 6.876 * [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)))) 6.876 * [backup-simplify]: Simplify (exp 0) into 1 6.876 * [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 6.876 * [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 6.876 * [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 6.876 * [taylor]: Taking taylor expansion of 1/4 in U 6.876 * [backup-simplify]: Simplify 1/4 into 1/4 6.876 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.876 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.876 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.876 * [taylor]: Taking taylor expansion of 1/4 in U 6.876 * [backup-simplify]: Simplify 1/4 into 1/4 6.876 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.876 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.876 * [taylor]: Taking taylor expansion of J in U 6.876 * [backup-simplify]: Simplify J into J 6.876 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.876 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.876 * [taylor]: Taking taylor expansion of U in U 6.876 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify 1 into 1 6.876 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.876 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.876 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.876 * [taylor]: Taking taylor expansion of 1/2 in U 6.876 * [backup-simplify]: Simplify 1/2 into 1/2 6.876 * [taylor]: Taking taylor expansion of K in U 6.876 * [backup-simplify]: Simplify K into K 6.876 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.876 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.876 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.876 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.877 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.877 * [backup-simplify]: Simplify (- 0) into 0 6.877 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.877 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.877 * [backup-simplify]: Simplify (* 1 1) into 1 6.877 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.877 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.877 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.878 * [taylor]: Taking taylor expansion of 1 in U 6.878 * [backup-simplify]: Simplify 1 into 1 6.878 * [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))) 6.878 * [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))) 6.878 * [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)))) 6.878 * [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))) 6.879 * [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)))) 6.879 * [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))))) 6.879 * [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 6.879 * [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 6.879 * [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 6.879 * [taylor]: Taking taylor expansion of 1/4 in U 6.879 * [backup-simplify]: Simplify 1/4 into 1/4 6.879 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.879 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.879 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.879 * [taylor]: Taking taylor expansion of 1/4 in U 6.879 * [backup-simplify]: Simplify 1/4 into 1/4 6.879 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.879 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.879 * [taylor]: Taking taylor expansion of J in U 6.879 * [backup-simplify]: Simplify J into J 6.879 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.879 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.879 * [taylor]: Taking taylor expansion of U in U 6.879 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify 1 into 1 6.879 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.879 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.879 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.879 * [taylor]: Taking taylor expansion of 1/2 in U 6.879 * [backup-simplify]: Simplify 1/2 into 1/2 6.879 * [taylor]: Taking taylor expansion of K in U 6.879 * [backup-simplify]: Simplify K into K 6.879 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.879 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.879 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.879 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.880 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.880 * [backup-simplify]: Simplify (- 0) into 0 6.880 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.880 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.880 * [backup-simplify]: Simplify (* 1 1) into 1 6.880 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.880 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.880 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.880 * [taylor]: Taking taylor expansion of 1 in U 6.880 * [backup-simplify]: Simplify 1 into 1 6.881 * [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))) 6.881 * [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))) 6.881 * [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)))) 6.881 * [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))) 6.881 * [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)))) 6.882 * [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))))) 6.882 * [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 6.882 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 6.882 * [taylor]: Taking taylor expansion of 1/4 in J 6.882 * [backup-simplify]: Simplify 1/4 into 1/4 6.882 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 6.882 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.882 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.882 * [taylor]: Taking taylor expansion of 1/4 in J 6.882 * [backup-simplify]: Simplify 1/4 into 1/4 6.882 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.882 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.882 * [taylor]: Taking taylor expansion of J in J 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify 1 into 1 6.882 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.882 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.882 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.882 * [taylor]: Taking taylor expansion of 1/2 in J 6.882 * [backup-simplify]: Simplify 1/2 into 1/2 6.882 * [taylor]: Taking taylor expansion of K in J 6.882 * [backup-simplify]: Simplify K into K 6.882 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.882 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.882 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.882 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.882 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.882 * [backup-simplify]: Simplify (- 0) into 0 6.883 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.883 * [backup-simplify]: Simplify (* 1 1) into 1 6.883 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.883 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.883 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.883 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.883 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.883 * [taylor]: Taking taylor expansion of 2 in J 6.883 * [backup-simplify]: Simplify 2 into 2 6.883 * [taylor]: Taking taylor expansion of (log U) in J 6.883 * [taylor]: Taking taylor expansion of U in J 6.883 * [backup-simplify]: Simplify U into U 6.883 * [backup-simplify]: Simplify (log U) into (log U) 6.884 * [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)))) 6.884 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.884 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.884 * [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))) 6.884 * [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)))) 6.884 * [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))))) 6.884 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 6.884 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 6.884 * [taylor]: Taking taylor expansion of 1/4 in K 6.884 * [backup-simplify]: Simplify 1/4 into 1/4 6.885 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 6.885 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 6.885 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 6.885 * [taylor]: Taking taylor expansion of 2 in K 6.885 * [backup-simplify]: Simplify 2 into 2 6.885 * [taylor]: Taking taylor expansion of (log J) in K 6.885 * [taylor]: Taking taylor expansion of J in K 6.885 * [backup-simplify]: Simplify J into J 6.885 * [backup-simplify]: Simplify (log J) into (log J) 6.885 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 6.885 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 6.885 * [taylor]: Taking taylor expansion of 1/4 in K 6.885 * [backup-simplify]: Simplify 1/4 into 1/4 6.885 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.885 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.885 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.885 * [taylor]: Taking taylor expansion of 1/2 in K 6.885 * [backup-simplify]: Simplify 1/2 into 1/2 6.885 * [taylor]: Taking taylor expansion of K in K 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 1 into 1 6.885 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.885 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.885 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.885 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.885 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.885 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 6.885 * [taylor]: Taking taylor expansion of 2 in K 6.885 * [backup-simplify]: Simplify 2 into 2 6.885 * [taylor]: Taking taylor expansion of (log U) in K 6.885 * [taylor]: Taking taylor expansion of U in K 6.886 * [backup-simplify]: Simplify U into U 6.886 * [backup-simplify]: Simplify (log U) into (log U) 6.886 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 6.886 * [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)))) 6.886 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.886 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.886 * [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))) 6.886 * [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)))) 6.886 * [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))))) 6.886 * [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))))) 6.887 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.887 * [backup-simplify]: Simplify (+ 0) into 0 6.887 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.887 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.888 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.888 * [backup-simplify]: Simplify (- 0) into 0 6.889 * [backup-simplify]: Simplify (+ 0 0) into 0 6.889 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.890 * [backup-simplify]: 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 6.890 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.891 * [backup-simplify]: Simplify (+ 0 0) into 0 6.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 6.893 * [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))) 6.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.895 * [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 6.895 * [taylor]: Taking taylor expansion of 0 in J 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [taylor]: Taking taylor expansion of 0 in K 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.897 * [backup-simplify]: Simplify (+ 0) into 0 6.897 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.897 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.899 * [backup-simplify]: Simplify (- 0) into 0 6.899 * [backup-simplify]: Simplify (+ 0 0) into 0 6.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.900 * [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 6.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.903 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.903 * [backup-simplify]: Simplify (- 0) into 0 6.904 * [backup-simplify]: Simplify (+ 0 0) into 0 6.904 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.905 * [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 6.905 * [taylor]: Taking taylor expansion of 0 in K 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 6.907 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 6.907 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.907 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.909 * [backup-simplify]: Simplify (+ 0 0) into 0 6.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.910 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.910 * [backup-simplify]: Simplify (- 0) into 0 6.911 * [backup-simplify]: Simplify (+ 0 0) into 0 6.911 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.912 * [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 6.912 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.914 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.915 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.915 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.916 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.916 * [backup-simplify]: Simplify (- 0) into 0 6.917 * [backup-simplify]: Simplify (+ 0 0) into 0 6.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.920 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.921 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.921 * [backup-simplify]: Simplify (+ 0 1) into 1 6.923 * [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))) 6.924 * [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))) 6.925 * [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)) 6.926 * [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)) 6.926 * [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 6.926 * [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 6.926 * [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 6.926 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 6.926 * [taylor]: Taking taylor expansion of 1/4 in J 6.926 * [backup-simplify]: Simplify 1/4 into 1/4 6.926 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 6.926 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.926 * [taylor]: Taking taylor expansion of 1/4 in J 6.926 * [backup-simplify]: Simplify 1/4 into 1/4 6.926 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.926 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.926 * [taylor]: Taking taylor expansion of J in J 6.926 * [backup-simplify]: Simplify 0 into 0 6.927 * [backup-simplify]: Simplify 1 into 1 6.927 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.927 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.927 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.927 * [taylor]: Taking taylor expansion of 1/2 in J 6.927 * [backup-simplify]: Simplify 1/2 into 1/2 6.927 * [taylor]: Taking taylor expansion of K in J 6.927 * [backup-simplify]: Simplify K into K 6.927 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.927 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.927 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.927 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.927 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.927 * [backup-simplify]: Simplify (- 0) into 0 6.928 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.928 * [backup-simplify]: Simplify (* 1 1) into 1 6.928 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.928 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.928 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.929 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.929 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.929 * [taylor]: Taking taylor expansion of 2 in J 6.929 * [backup-simplify]: Simplify 2 into 2 6.929 * [taylor]: Taking taylor expansion of (log U) in J 6.929 * [taylor]: Taking taylor expansion of U in J 6.929 * [backup-simplify]: Simplify U into U 6.929 * [backup-simplify]: Simplify (log U) into (log U) 6.929 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.929 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.930 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.930 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.930 * [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)))) 6.930 * [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))))) 6.931 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.931 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.931 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.931 * [taylor]: Taking taylor expansion of 1/2 in J 6.931 * [backup-simplify]: Simplify 1/2 into 1/2 6.931 * [taylor]: Taking taylor expansion of K in J 6.931 * [backup-simplify]: Simplify K into K 6.931 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.931 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.931 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.931 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.931 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.931 * [backup-simplify]: Simplify (- 0) into 0 6.932 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.932 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.932 * [taylor]: Taking taylor expansion of J in J 6.932 * [backup-simplify]: Simplify 0 into 0 6.932 * [backup-simplify]: Simplify 1 into 1 6.932 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.932 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 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)) 6.933 * [backup-simplify]: Simplify (* 1 1) into 1 6.933 * [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)) 6.933 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.934 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.935 * [backup-simplify]: Simplify (+ 0) into 0 6.936 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.936 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.937 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.938 * [backup-simplify]: Simplify (- 0) into 0 6.939 * [backup-simplify]: Simplify (+ 0 0) into 0 6.939 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.940 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.940 * [backup-simplify]: Simplify (- 0) into 0 6.941 * [backup-simplify]: Simplify (+ 0 0) into 0 6.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.942 * [backup-simplify]: Simplify (+ 0) into 0 6.943 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.943 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.944 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.944 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.945 * [backup-simplify]: Simplify (- 0) into 0 6.945 * [backup-simplify]: Simplify (+ 0 0) into 0 6.945 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.945 * [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 6.946 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.948 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.949 * [backup-simplify]: Simplify (- 0) into 0 6.949 * [backup-simplify]: Simplify (+ 0 0) into 0 6.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.951 * [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 6.951 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.953 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.954 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.954 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.956 * [backup-simplify]: Simplify (- 0) into 0 6.956 * [backup-simplify]: Simplify (+ 0 0) into 0 6.957 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.957 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.958 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.960 * [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 6.961 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.962 * [backup-simplify]: Simplify (- 0) into 0 6.963 * [backup-simplify]: Simplify (+ 0 0) into 0 6.963 * [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 6.964 * [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 6.965 * [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 6.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.965 * [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 6.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.967 * [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 6.968 * [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 6.968 * [taylor]: Taking taylor expansion of 0 in K 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [taylor]: Taking taylor expansion of 0 in K 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.969 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.969 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.969 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.970 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.970 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.971 * [backup-simplify]: Simplify (- 0) into 0 6.971 * [backup-simplify]: Simplify (+ 0 0) into 0 6.971 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.971 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.972 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.973 * [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 6.974 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.975 * [backup-simplify]: Simplify (- 0) into 0 6.975 * [backup-simplify]: Simplify (+ 0 0) into 0 6.976 * [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 6.977 * [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 6.977 * [taylor]: Taking taylor expansion of 0 in K 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [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)))))) 6.977 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 6.977 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0 6.977 * [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 6.977 * [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 6.977 * [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 6.978 * [taylor]: Taking taylor expansion of 1/4 in K 6.978 * [backup-simplify]: Simplify 1/4 into 1/4 6.978 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.978 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.978 * [taylor]: Taking taylor expansion of 1 in K 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.978 * [taylor]: Taking taylor expansion of 1/4 in K 6.978 * [backup-simplify]: Simplify 1/4 into 1/4 6.978 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.978 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.978 * [taylor]: Taking taylor expansion of J in K 6.978 * [backup-simplify]: Simplify J into J 6.978 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.978 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.978 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.978 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.978 * [taylor]: Taking taylor expansion of -1/2 in K 6.978 * [backup-simplify]: Simplify -1/2 into -1/2 6.978 * [taylor]: Taking taylor expansion of K in K 6.978 * [backup-simplify]: Simplify 0 into 0 6.978 * [backup-simplify]: Simplify 1 into 1 6.980 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.980 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.980 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.980 * [taylor]: Taking taylor expansion of U in K 6.980 * [backup-simplify]: Simplify U into U 6.980 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.980 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.980 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.980 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.981 * [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))) 6.981 * [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)))) 6.981 * [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))))) 6.981 * [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)))))) 6.981 * [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))))))) 6.982 * [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) 6.982 * [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 6.982 * [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 6.982 * [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 6.982 * [taylor]: Taking taylor expansion of 1/4 in J 6.982 * [backup-simplify]: Simplify 1/4 into 1/4 6.982 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.982 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.982 * [taylor]: Taking taylor expansion of 1 in J 6.982 * [backup-simplify]: Simplify 1 into 1 6.982 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.982 * [taylor]: Taking taylor expansion of 1/4 in J 6.982 * [backup-simplify]: Simplify 1/4 into 1/4 6.982 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.982 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.982 * [taylor]: Taking taylor expansion of J in J 6.982 * [backup-simplify]: Simplify 0 into 0 6.982 * [backup-simplify]: Simplify 1 into 1 6.982 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.982 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.982 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.982 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.982 * [taylor]: Taking taylor expansion of -1/2 in J 6.982 * [backup-simplify]: Simplify -1/2 into -1/2 6.982 * [taylor]: Taking taylor expansion of K in J 6.982 * [backup-simplify]: Simplify K into K 6.982 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.982 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.982 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.982 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.982 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.983 * [backup-simplify]: Simplify (- 0) into 0 6.983 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.983 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.983 * [taylor]: Taking taylor expansion of U in J 6.983 * [backup-simplify]: Simplify U into U 6.983 * [backup-simplify]: Simplify (* 1 1) into 1 6.983 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.983 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.983 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.983 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.984 * [backup-simplify]: Simplify (+ 1 0) into 1 6.984 * [backup-simplify]: Simplify (log 1) into 0 6.984 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.985 * [backup-simplify]: Simplify (+ 0 0) into 0 6.985 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.986 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.986 * [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))) 6.986 * [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)))) 6.987 * [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))) 6.988 * [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)))) 6.988 * [backup-simplify]: Simplify (exp 0) into 1 6.988 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 6.988 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.988 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.988 * [taylor]: Taking taylor expansion of 1/4 in U 6.988 * [backup-simplify]: Simplify 1/4 into 1/4 6.988 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.988 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.988 * [taylor]: Taking taylor expansion of 1 in U 6.988 * [backup-simplify]: Simplify 1 into 1 6.988 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.988 * [taylor]: Taking taylor expansion of 1/4 in U 6.988 * [backup-simplify]: Simplify 1/4 into 1/4 6.988 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.988 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.988 * [taylor]: Taking taylor expansion of J in U 6.988 * [backup-simplify]: Simplify J into J 6.988 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.988 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.988 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.988 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.988 * [taylor]: Taking taylor expansion of -1/2 in U 6.988 * [backup-simplify]: Simplify -1/2 into -1/2 6.988 * [taylor]: Taking taylor expansion of K in U 6.988 * [backup-simplify]: Simplify K into K 6.988 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.988 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.988 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.988 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.988 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.989 * [backup-simplify]: Simplify (- 0) into 0 6.989 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.989 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.989 * [taylor]: Taking taylor expansion of U in U 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 1 into 1 6.989 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.989 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.989 * [backup-simplify]: Simplify (* 1 1) into 1 6.989 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.989 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.990 * [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))) 6.990 * [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))) 6.990 * [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)))) 6.991 * [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))) 6.991 * [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)))) 6.991 * [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))))) 6.991 * [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 6.991 * [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 6.991 * [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 6.991 * [taylor]: Taking taylor expansion of 1/4 in U 6.992 * [backup-simplify]: Simplify 1/4 into 1/4 6.992 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.992 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.992 * [taylor]: Taking taylor expansion of 1 in U 6.992 * [backup-simplify]: Simplify 1 into 1 6.992 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.992 * [taylor]: Taking taylor expansion of 1/4 in U 6.992 * [backup-simplify]: Simplify 1/4 into 1/4 6.992 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.992 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.992 * [taylor]: Taking taylor expansion of J in U 6.992 * [backup-simplify]: Simplify J into J 6.992 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.992 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.992 * [taylor]: Taking taylor expansion of -1/2 in U 6.992 * [backup-simplify]: Simplify -1/2 into -1/2 6.992 * [taylor]: Taking taylor expansion of K in U 6.992 * [backup-simplify]: Simplify K into K 6.992 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.992 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.993 * [backup-simplify]: Simplify (- 0) into 0 6.993 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.993 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.993 * [taylor]: Taking taylor expansion of U in U 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 1 into 1 6.993 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.994 * [backup-simplify]: Simplify (* 1 1) into 1 6.994 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.994 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.994 * [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))) 6.994 * [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))) 6.995 * [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)))) 6.995 * [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))) 6.996 * [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)))) 6.996 * [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))))) 6.996 * [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 6.996 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 6.996 * [taylor]: Taking taylor expansion of 1/4 in J 6.996 * [backup-simplify]: Simplify 1/4 into 1/4 6.996 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 6.996 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 6.996 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.996 * [taylor]: Taking taylor expansion of 1/4 in J 6.996 * [backup-simplify]: Simplify 1/4 into 1/4 6.996 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.996 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.996 * [taylor]: Taking taylor expansion of J in J 6.996 * [backup-simplify]: Simplify 0 into 0 6.996 * [backup-simplify]: Simplify 1 into 1 6.996 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.996 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.996 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.997 * [taylor]: Taking taylor expansion of -1/2 in J 6.997 * [backup-simplify]: Simplify -1/2 into -1/2 6.997 * [taylor]: Taking taylor expansion of K in J 6.997 * [backup-simplify]: Simplify K into K 6.997 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.997 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.997 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.997 * [backup-simplify]: Simplify (- 0) into 0 6.997 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.998 * [backup-simplify]: Simplify (* 1 1) into 1 6.998 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.998 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.998 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.998 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.998 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.998 * [taylor]: Taking taylor expansion of 2 in J 6.998 * [backup-simplify]: Simplify 2 into 2 6.999 * [taylor]: Taking taylor expansion of (log U) in J 6.999 * [taylor]: Taking taylor expansion of U in J 6.999 * [backup-simplify]: Simplify U into U 6.999 * [backup-simplify]: Simplify (log U) into (log U) 6.999 * [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)))) 6.999 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.999 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.000 * [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))) 7.000 * [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)))) 7.000 * [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))))) 7.000 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 7.000 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 7.000 * [taylor]: Taking taylor expansion of 1/4 in K 7.000 * [backup-simplify]: Simplify 1/4 into 1/4 7.000 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 7.000 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 7.000 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 7.000 * [taylor]: Taking taylor expansion of 2 in K 7.001 * [backup-simplify]: Simplify 2 into 2 7.001 * [taylor]: Taking taylor expansion of (log J) in K 7.001 * [taylor]: Taking taylor expansion of J in K 7.001 * [backup-simplify]: Simplify J into J 7.001 * [backup-simplify]: Simplify (log J) into (log J) 7.001 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 7.001 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 7.001 * [taylor]: Taking taylor expansion of 1/4 in K 7.001 * [backup-simplify]: Simplify 1/4 into 1/4 7.001 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.001 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.001 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.001 * [taylor]: Taking taylor expansion of -1/2 in K 7.001 * [backup-simplify]: Simplify -1/2 into -1/2 7.001 * [taylor]: Taking taylor expansion of K in K 7.001 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify 1 into 1 7.001 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.001 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.002 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.002 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.002 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 7.002 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 7.002 * [taylor]: Taking taylor expansion of 2 in K 7.002 * [backup-simplify]: Simplify 2 into 2 7.002 * [taylor]: Taking taylor expansion of (log U) in K 7.002 * [taylor]: Taking taylor expansion of U in K 7.002 * [backup-simplify]: Simplify U into U 7.002 * [backup-simplify]: Simplify (log U) into (log U) 7.002 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 7.002 * [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)))) 7.002 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.003 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.003 * [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))) 7.003 * [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)))) 7.003 * [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))))) 7.004 * [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))))) 7.004 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.005 * [backup-simplify]: Simplify (+ 0) into 0 7.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.006 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.008 * [backup-simplify]: Simplify (- 0) into 0 7.008 * [backup-simplify]: Simplify (+ 0 0) into 0 7.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.009 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.009 * [backup-simplify]: 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 7.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.010 * [backup-simplify]: Simplify (+ 0 0) into 0 7.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 7.012 * [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))) 7.012 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.014 * [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 7.014 * [taylor]: Taking taylor expansion of 0 in J 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [taylor]: Taking taylor expansion of 0 in K 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.015 * [backup-simplify]: Simplify (+ 0) into 0 7.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.016 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.017 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.017 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.017 * [backup-simplify]: Simplify (- 0) into 0 7.018 * [backup-simplify]: Simplify (+ 0 0) into 0 7.018 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.018 * [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 7.019 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 7.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 7.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.021 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.021 * [backup-simplify]: Simplify (- 0) into 0 7.022 * [backup-simplify]: Simplify (+ 0 0) into 0 7.022 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.024 * [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 7.024 * [taylor]: Taking taylor expansion of 0 in K 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 7.025 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 7.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.025 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 7.027 * [backup-simplify]: Simplify (+ 0 0) into 0 7.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.028 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.028 * [backup-simplify]: Simplify (- 0) into 0 7.029 * [backup-simplify]: Simplify (+ 0 0) into 0 7.029 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.031 * [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 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.033 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.034 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.034 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.035 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.036 * [backup-simplify]: Simplify (- 0) into 0 7.036 * [backup-simplify]: Simplify (+ 0 0) into 0 7.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.037 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.038 * [backup-simplify]: 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 7.039 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 7.039 * [backup-simplify]: Simplify (+ 1 0) into 1 7.041 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 7.042 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 7.043 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 7.044 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 7.044 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 7.044 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 7.044 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.044 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.044 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.044 * [taylor]: Taking taylor expansion of -1/2 in J 7.044 * [backup-simplify]: Simplify -1/2 into -1/2 7.044 * [taylor]: Taking taylor expansion of K in J 7.044 * [backup-simplify]: Simplify K into K 7.044 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.044 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.044 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.044 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.045 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.045 * [backup-simplify]: Simplify (- 0) into 0 7.045 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.045 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 7.045 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 7.045 * [taylor]: Taking taylor expansion of 1/4 in J 7.045 * [backup-simplify]: Simplify 1/4 into 1/4 7.045 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 7.045 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 7.045 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 7.045 * [taylor]: Taking taylor expansion of 1/4 in J 7.045 * [backup-simplify]: Simplify 1/4 into 1/4 7.045 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 7.045 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.045 * [taylor]: Taking taylor expansion of J in J 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.045 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.046 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.046 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.046 * [taylor]: Taking taylor expansion of -1/2 in J 7.046 * [backup-simplify]: Simplify -1/2 into -1/2 7.046 * [taylor]: Taking taylor expansion of K in J 7.046 * [backup-simplify]: Simplify K into K 7.046 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.046 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.046 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.046 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.046 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.046 * [backup-simplify]: Simplify (- 0) into 0 7.047 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.047 * [backup-simplify]: Simplify (* 1 1) into 1 7.047 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.047 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 7.047 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.047 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 7.048 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 7.048 * [taylor]: Taking taylor expansion of 2 in J 7.048 * [backup-simplify]: Simplify 2 into 2 7.048 * [taylor]: Taking taylor expansion of (log U) in J 7.048 * [taylor]: Taking taylor expansion of U in J 7.048 * [backup-simplify]: Simplify U into U 7.048 * [backup-simplify]: Simplify (log U) into (log U) 7.048 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 7.048 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.048 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.049 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 7.049 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 7.049 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 7.049 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.049 * [taylor]: Taking taylor expansion of J in J 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 1 into 1 7.049 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.050 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 7.050 * [backup-simplify]: Simplify (* 1 1) into 1 7.050 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 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)))))) 7.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.051 * [backup-simplify]: Simplify (+ 0) into 0 7.051 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.051 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.052 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.052 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.052 * [backup-simplify]: Simplify (- 0) into 0 7.053 * [backup-simplify]: Simplify (+ 0 0) into 0 7.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.053 * [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 7.053 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 7.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 7.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.055 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.055 * [backup-simplify]: Simplify (- 0) into 0 7.055 * [backup-simplify]: Simplify (+ 0 0) into 0 7.055 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.057 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.057 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.057 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.058 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.058 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.058 * [backup-simplify]: Simplify (- 0) into 0 7.058 * [backup-simplify]: Simplify (+ 0 0) into 0 7.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.059 * [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 7.060 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 7.061 * [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 7.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 7.062 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 7.062 * [backup-simplify]: Simplify (- 0) into 0 7.063 * [backup-simplify]: Simplify (+ 0 0) into 0 7.063 * [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 7.064 * [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 7.065 * [backup-simplify]: Simplify (+ 0) into 0 7.065 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.065 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.066 * [backup-simplify]: Simplify (- 0) into 0 7.066 * [backup-simplify]: Simplify (+ 0 0) into 0 7.066 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.067 * [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 7.068 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.068 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.069 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.069 * [backup-simplify]: Simplify (- 0) into 0 7.069 * [backup-simplify]: Simplify (+ 0 0) into 0 7.070 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.070 * [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 7.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.071 * [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 7.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.072 * [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 7.073 * [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 7.073 * [taylor]: Taking taylor expansion of 0 in K 7.073 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify 0 into 0 7.073 * [taylor]: Taking taylor expansion of 0 in K 7.073 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.075 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.075 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.076 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.076 * [backup-simplify]: Simplify (- 0) into 0 7.077 * [backup-simplify]: Simplify (+ 0 0) into 0 7.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.077 * [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 7.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 7.080 * [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 7.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 7.083 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 7.083 * [backup-simplify]: Simplify (- 0) into 0 7.083 * [backup-simplify]: Simplify (+ 0 0) into 0 7.084 * [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 7.086 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.086 * [taylor]: Taking taylor expansion of 0 in K 7.086 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 7.087 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 7.087 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 7.087 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 7.087 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 7.087 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 7.087 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 7.087 * [taylor]: Taking taylor expansion of 1/4 in K 7.087 * [backup-simplify]: Simplify 1/4 into 1/4 7.087 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 7.087 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 7.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 7.087 * [taylor]: Taking taylor expansion of 1/4 in K 7.087 * [backup-simplify]: Simplify 1/4 into 1/4 7.087 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.088 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.088 * [taylor]: Taking taylor expansion of U in K 7.088 * [backup-simplify]: Simplify U into U 7.088 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.088 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.088 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.088 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.088 * [taylor]: Taking taylor expansion of 1/2 in K 7.088 * [backup-simplify]: Simplify 1/2 into 1/2 7.088 * [taylor]: Taking taylor expansion of K in K 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.088 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.089 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.089 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.089 * [taylor]: Taking taylor expansion of J in K 7.089 * [backup-simplify]: Simplify J into J 7.089 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.090 * [backup-simplify]: Simplify (* 1 1) into 1 7.090 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.090 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.090 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 7.090 * [taylor]: Taking taylor expansion of 1 in K 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 7.091 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 7.091 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 7.091 * [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))) 7.091 * [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) 7.091 * [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 7.091 * [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 7.091 * [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 7.092 * [taylor]: Taking taylor expansion of 1/4 in J 7.092 * [backup-simplify]: Simplify 1/4 into 1/4 7.092 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 7.092 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 7.092 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 7.092 * [taylor]: Taking taylor expansion of 1/4 in J 7.092 * [backup-simplify]: Simplify 1/4 into 1/4 7.092 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.092 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.092 * [taylor]: Taking taylor expansion of U in J 7.092 * [backup-simplify]: Simplify U into U 7.092 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.092 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.092 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.092 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.092 * [taylor]: Taking taylor expansion of 1/2 in J 7.092 * [backup-simplify]: Simplify 1/2 into 1/2 7.092 * [taylor]: Taking taylor expansion of K in J 7.092 * [backup-simplify]: Simplify K into K 7.092 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.092 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.092 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.092 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.092 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.093 * [backup-simplify]: Simplify (- 0) into 0 7.093 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.093 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.093 * [taylor]: Taking taylor expansion of J in J 7.093 * [backup-simplify]: Simplify 0 into 0 7.093 * [backup-simplify]: Simplify 1 into 1 7.093 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.093 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.094 * [backup-simplify]: Simplify (* 1 1) into 1 7.094 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.094 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 7.094 * [taylor]: Taking taylor expansion of 1 in J 7.094 * [backup-simplify]: Simplify 1 into 1 7.094 * [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))) 7.095 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 7.095 * [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)))) 7.096 * [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))) 7.096 * [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)))) 7.096 * [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))))) 7.096 * [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 7.096 * [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 7.096 * [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 7.096 * [taylor]: Taking taylor expansion of 1/4 in U 7.096 * [backup-simplify]: Simplify 1/4 into 1/4 7.096 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.096 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.097 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.097 * [taylor]: Taking taylor expansion of 1/4 in U 7.097 * [backup-simplify]: Simplify 1/4 into 1/4 7.097 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.097 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.097 * [taylor]: Taking taylor expansion of U in U 7.097 * [backup-simplify]: Simplify 0 into 0 7.097 * [backup-simplify]: Simplify 1 into 1 7.097 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.097 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.097 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.097 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.097 * [taylor]: Taking taylor expansion of 1/2 in U 7.097 * [backup-simplify]: Simplify 1/2 into 1/2 7.097 * [taylor]: Taking taylor expansion of K in U 7.097 * [backup-simplify]: Simplify K into K 7.097 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.097 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.097 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.097 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.097 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.098 * [backup-simplify]: Simplify (- 0) into 0 7.098 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.098 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.098 * [taylor]: Taking taylor expansion of J in U 7.098 * [backup-simplify]: Simplify J into J 7.098 * [backup-simplify]: Simplify (* 1 1) into 1 7.099 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.099 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.099 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.099 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.099 * [taylor]: Taking taylor expansion of 1 in U 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [backup-simplify]: Simplify (+ 0 1) into 1 7.100 * [backup-simplify]: Simplify (log 1) into 0 7.100 * [backup-simplify]: Simplify (* 1/4 0) into 0 7.101 * [backup-simplify]: Simplify (+ 0 0) into 0 7.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.103 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 7.103 * [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))) 7.103 * [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)))) 7.105 * [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))) 7.106 * [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)))) 7.106 * [backup-simplify]: Simplify (exp 0) into 1 7.106 * [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 7.106 * [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 7.106 * [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 7.106 * [taylor]: Taking taylor expansion of 1/4 in U 7.106 * [backup-simplify]: Simplify 1/4 into 1/4 7.106 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.106 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.106 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.106 * [taylor]: Taking taylor expansion of 1/4 in U 7.106 * [backup-simplify]: Simplify 1/4 into 1/4 7.107 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.107 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.107 * [taylor]: Taking taylor expansion of U in U 7.107 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify 1 into 1 7.107 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.107 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.107 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.107 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.107 * [taylor]: Taking taylor expansion of 1/2 in U 7.107 * [backup-simplify]: Simplify 1/2 into 1/2 7.107 * [taylor]: Taking taylor expansion of K in U 7.107 * [backup-simplify]: Simplify K into K 7.107 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.107 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.107 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.107 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.107 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.109 * [backup-simplify]: Simplify (- 0) into 0 7.110 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.110 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.110 * [taylor]: Taking taylor expansion of J in U 7.110 * [backup-simplify]: Simplify J into J 7.110 * [backup-simplify]: Simplify (* 1 1) into 1 7.110 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.110 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.111 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.111 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.111 * [taylor]: Taking taylor expansion of 1 in U 7.111 * [backup-simplify]: Simplify 1 into 1 7.111 * [backup-simplify]: Simplify (+ 0 1) into 1 7.112 * [backup-simplify]: Simplify (log 1) into 0 7.112 * [backup-simplify]: Simplify (* 1/4 0) into 0 7.112 * [backup-simplify]: Simplify (+ 0 0) into 0 7.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.114 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 7.114 * [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))) 7.115 * [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)))) 7.117 * [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))) 7.117 * [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)))) 7.117 * [backup-simplify]: Simplify (exp 0) into 1 7.117 * [taylor]: Taking taylor expansion of 1 in J 7.117 * [backup-simplify]: Simplify 1 into 1 7.117 * [taylor]: Taking taylor expansion of 1 in K 7.118 * [backup-simplify]: Simplify 1 into 1 7.118 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 7.119 * [taylor]: Taking taylor expansion of 0 in J 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [taylor]: Taking taylor expansion of 0 in K 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [taylor]: Taking taylor expansion of 0 in K 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 0 into 0 7.120 * [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))) 7.120 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.120 * [taylor]: Taking taylor expansion of 1/16 in J 7.120 * [backup-simplify]: Simplify 1/16 into 1/16 7.120 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.120 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.120 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.120 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.120 * [taylor]: Taking taylor expansion of 1/2 in J 7.120 * [backup-simplify]: Simplify 1/2 into 1/2 7.120 * [taylor]: Taking taylor expansion of K in J 7.120 * [backup-simplify]: Simplify K into K 7.120 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.120 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.120 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.120 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.120 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.121 * [backup-simplify]: Simplify (- 0) into 0 7.121 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.121 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.121 * [taylor]: Taking taylor expansion of J in J 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.122 * [backup-simplify]: Simplify (* 1 1) into 1 7.122 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.122 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 7.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.123 * [backup-simplify]: Simplify (+ 0) into 0 7.123 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.125 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.125 * [backup-simplify]: Simplify (- 0) into 0 7.126 * [backup-simplify]: Simplify (+ 0 0) into 0 7.126 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.128 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.128 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.130 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.130 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.131 * [backup-simplify]: Simplify (- 0) into 0 7.131 * [backup-simplify]: Simplify (+ 0 0) into 0 7.131 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 7.132 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.133 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 7.133 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 7.133 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 7.133 * [taylor]: Taking taylor expansion of 0 in K 7.133 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [taylor]: Taking taylor expansion of 0 in K 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [taylor]: Taking taylor expansion of 0 in K 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 1 into 1 7.134 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 7.134 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 7.134 * [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 7.134 * [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 7.134 * [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 7.135 * [taylor]: Taking taylor expansion of 1/4 in K 7.135 * [backup-simplify]: Simplify 1/4 into 1/4 7.135 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 7.135 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 7.135 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 7.135 * [taylor]: Taking taylor expansion of 1/4 in K 7.135 * [backup-simplify]: Simplify 1/4 into 1/4 7.135 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 7.135 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.135 * [taylor]: Taking taylor expansion of J in K 7.135 * [backup-simplify]: Simplify J into J 7.135 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 7.135 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.135 * [taylor]: Taking taylor expansion of U in K 7.135 * [backup-simplify]: Simplify U into U 7.135 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 7.135 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.135 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.135 * [taylor]: Taking taylor expansion of 1/2 in K 7.135 * [backup-simplify]: Simplify 1/2 into 1/2 7.135 * [taylor]: Taking taylor expansion of K in K 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 1 into 1 7.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.136 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.136 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.136 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.136 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.136 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.136 * [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))) 7.136 * [taylor]: Taking taylor expansion of 1 in K 7.136 * [backup-simplify]: Simplify 1 into 1 7.137 * [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)))) 7.137 * [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) 7.137 * [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)) 7.138 * [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))) 7.138 * [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) 7.138 * [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 7.138 * [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 7.138 * [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 7.138 * [taylor]: Taking taylor expansion of 1/4 in J 7.138 * [backup-simplify]: Simplify 1/4 into 1/4 7.138 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 7.138 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 7.138 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.138 * [taylor]: Taking taylor expansion of 1/4 in J 7.138 * [backup-simplify]: Simplify 1/4 into 1/4 7.138 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 7.138 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.138 * [taylor]: Taking taylor expansion of J in J 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 1 into 1 7.139 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 7.139 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.139 * [taylor]: Taking taylor expansion of U in J 7.139 * [backup-simplify]: Simplify U into U 7.139 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.139 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.139 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.139 * [taylor]: Taking taylor expansion of 1/2 in J 7.139 * [backup-simplify]: Simplify 1/2 into 1/2 7.139 * [taylor]: Taking taylor expansion of K in J 7.139 * [backup-simplify]: Simplify K into K 7.139 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.139 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.139 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.139 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.139 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.140 * [backup-simplify]: Simplify (- 0) into 0 7.140 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.140 * [backup-simplify]: Simplify (* 1 1) into 1 7.140 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.141 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.141 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.141 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 7.141 * [taylor]: Taking taylor expansion of 1 in J 7.141 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (+ 0 1) into 1 7.142 * [backup-simplify]: Simplify (log 1) into 0 7.142 * [backup-simplify]: Simplify (* 1/4 0) into 0 7.142 * [backup-simplify]: Simplify (+ 0 0) into 0 7.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.144 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 7.145 * [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))) 7.145 * [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)))) 7.147 * [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))) 7.148 * [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)))) 7.148 * [backup-simplify]: Simplify (exp 0) into 1 7.148 * [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 7.148 * [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 7.148 * [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 7.148 * [taylor]: Taking taylor expansion of 1/4 in U 7.148 * [backup-simplify]: Simplify 1/4 into 1/4 7.148 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.148 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.148 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.148 * [taylor]: Taking taylor expansion of 1/4 in U 7.148 * [backup-simplify]: Simplify 1/4 into 1/4 7.148 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.148 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.148 * [taylor]: Taking taylor expansion of J in U 7.149 * [backup-simplify]: Simplify J into J 7.149 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.149 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.149 * [taylor]: Taking taylor expansion of U in U 7.149 * [backup-simplify]: Simplify 0 into 0 7.149 * [backup-simplify]: Simplify 1 into 1 7.149 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.149 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.149 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.149 * [taylor]: Taking taylor expansion of 1/2 in U 7.149 * [backup-simplify]: Simplify 1/2 into 1/2 7.149 * [taylor]: Taking taylor expansion of K in U 7.149 * [backup-simplify]: Simplify K into K 7.149 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.149 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.149 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.149 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.149 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.150 * [backup-simplify]: Simplify (- 0) into 0 7.150 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.150 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.150 * [backup-simplify]: Simplify (* 1 1) into 1 7.150 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.151 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.151 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.151 * [taylor]: Taking taylor expansion of 1 in U 7.151 * [backup-simplify]: Simplify 1 into 1 7.151 * [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))) 7.151 * [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))) 7.152 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 7.152 * [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))) 7.152 * [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)))) 7.153 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 7.153 * [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 7.153 * [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 7.153 * [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 7.153 * [taylor]: Taking taylor expansion of 1/4 in U 7.153 * [backup-simplify]: Simplify 1/4 into 1/4 7.153 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.153 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.153 * [taylor]: Taking taylor expansion of 1/4 in U 7.153 * [backup-simplify]: Simplify 1/4 into 1/4 7.153 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.153 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.153 * [taylor]: Taking taylor expansion of J in U 7.153 * [backup-simplify]: Simplify J into J 7.153 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.153 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.153 * [taylor]: Taking taylor expansion of U in U 7.153 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify 1 into 1 7.153 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.153 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.153 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.154 * [taylor]: Taking taylor expansion of 1/2 in U 7.154 * [backup-simplify]: Simplify 1/2 into 1/2 7.154 * [taylor]: Taking taylor expansion of K in U 7.154 * [backup-simplify]: Simplify K into K 7.154 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.154 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.154 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.154 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.154 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.154 * [backup-simplify]: Simplify (- 0) into 0 7.155 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.155 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.155 * [backup-simplify]: Simplify (* 1 1) into 1 7.155 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.155 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.156 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.156 * [taylor]: Taking taylor expansion of 1 in U 7.156 * [backup-simplify]: Simplify 1 into 1 7.156 * [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))) 7.156 * [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))) 7.156 * [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)))) 7.157 * [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))) 7.158 * [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)))) 7.158 * [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))))) 7.158 * [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 7.158 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 7.158 * [taylor]: Taking taylor expansion of 1/4 in J 7.158 * [backup-simplify]: Simplify 1/4 into 1/4 7.158 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 7.158 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 7.158 * [taylor]: Taking taylor expansion of 1/4 in J 7.158 * [backup-simplify]: Simplify 1/4 into 1/4 7.158 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 7.159 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.159 * [taylor]: Taking taylor expansion of J in J 7.159 * [backup-simplify]: Simplify 0 into 0 7.159 * [backup-simplify]: Simplify 1 into 1 7.159 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.159 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.159 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.159 * [taylor]: Taking taylor expansion of 1/2 in J 7.159 * [backup-simplify]: Simplify 1/2 into 1/2 7.159 * [taylor]: Taking taylor expansion of K in J 7.159 * [backup-simplify]: Simplify K into K 7.159 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.159 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.159 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.159 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.159 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.160 * [backup-simplify]: Simplify (- 0) into 0 7.160 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.160 * [backup-simplify]: Simplify (* 1 1) into 1 7.161 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.161 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 7.161 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 7.161 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 7.161 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 7.161 * [taylor]: Taking taylor expansion of 2 in J 7.161 * [backup-simplify]: Simplify 2 into 2 7.161 * [taylor]: Taking taylor expansion of (log U) in J 7.161 * [taylor]: Taking taylor expansion of U in J 7.161 * [backup-simplify]: Simplify U into U 7.161 * [backup-simplify]: Simplify (log U) into (log U) 7.162 * [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)))) 7.162 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.162 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.162 * [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))) 7.163 * [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)))) 7.163 * [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))))) 7.163 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 7.163 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 7.163 * [taylor]: Taking taylor expansion of 1/4 in K 7.163 * [backup-simplify]: Simplify 1/4 into 1/4 7.163 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 7.163 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 7.163 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 7.163 * [taylor]: Taking taylor expansion of 2 in K 7.163 * [backup-simplify]: Simplify 2 into 2 7.163 * [taylor]: Taking taylor expansion of (log J) in K 7.163 * [taylor]: Taking taylor expansion of J in K 7.163 * [backup-simplify]: Simplify J into J 7.163 * [backup-simplify]: Simplify (log J) into (log J) 7.163 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 7.163 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 7.164 * [taylor]: Taking taylor expansion of 1/4 in K 7.164 * [backup-simplify]: Simplify 1/4 into 1/4 7.164 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 7.164 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.164 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.164 * [taylor]: Taking taylor expansion of 1/2 in K 7.164 * [backup-simplify]: Simplify 1/2 into 1/2 7.164 * [taylor]: Taking taylor expansion of K in K 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [backup-simplify]: Simplify 1 into 1 7.164 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.165 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.165 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.165 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 7.165 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 7.165 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 7.165 * [taylor]: Taking taylor expansion of 2 in K 7.165 * [backup-simplify]: Simplify 2 into 2 7.165 * [taylor]: Taking taylor expansion of (log U) in K 7.165 * [taylor]: Taking taylor expansion of U in K 7.165 * [backup-simplify]: Simplify U into U 7.165 * [backup-simplify]: Simplify (log U) into (log U) 7.166 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 7.166 * [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)))) 7.166 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.166 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.166 * [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))) 7.167 * [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)))) 7.167 * [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))))) 7.167 * [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))))) 7.167 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.168 * [backup-simplify]: Simplify (+ 0) into 0 7.169 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.169 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.171 * [backup-simplify]: Simplify (- 0) into 0 7.171 * [backup-simplify]: Simplify (+ 0 0) into 0 7.172 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.173 * [backup-simplify]: 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 7.174 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.174 * [backup-simplify]: Simplify (+ 0 0) into 0 7.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 7.176 * [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))) 7.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 7.178 * [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 7.178 * [taylor]: Taking taylor expansion of 0 in J 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [taylor]: Taking taylor expansion of 0 in K 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify 0 into 0 7.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.179 * [backup-simplify]: Simplify (+ 0) into 0 7.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.180 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.181 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.181 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.182 * [backup-simplify]: Simplify (- 0) into 0 7.182 * [backup-simplify]: Simplify (+ 0 0) into 0 7.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.182 * [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 7.183 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 7.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 7.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.185 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.186 * [backup-simplify]: Simplify (- 0) into 0 7.186 * [backup-simplify]: Simplify (+ 0 0) into 0 7.187 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 7.188 * [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 7.188 * [taylor]: Taking taylor expansion of 0 in K 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 7.189 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 7.190 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.190 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 7.191 * [backup-simplify]: Simplify (+ 0 0) into 0 7.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.192 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.193 * [backup-simplify]: Simplify (- 0) into 0 7.193 * [backup-simplify]: Simplify (+ 0 0) into 0 7.194 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 7.195 * [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 7.195 * [backup-simplify]: Simplify 0 into 0 7.196 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.197 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.198 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.198 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.199 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.199 * [backup-simplify]: Simplify (- 0) into 0 7.200 * [backup-simplify]: Simplify (+ 0 0) into 0 7.200 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.203 * [backup-simplify]: 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 7.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.204 * [backup-simplify]: Simplify (+ 0 1) into 1 7.206 * [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))) 7.207 * [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))) 7.208 * [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)) 7.209 * [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)) 7.209 * [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 7.209 * [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 7.209 * [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 7.209 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 7.209 * [taylor]: Taking taylor expansion of 1/4 in J 7.209 * [backup-simplify]: Simplify 1/4 into 1/4 7.209 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 7.209 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.210 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 7.210 * [taylor]: Taking taylor expansion of 1/4 in J 7.210 * [backup-simplify]: Simplify 1/4 into 1/4 7.210 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 7.210 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.210 * [taylor]: Taking taylor expansion of J in J 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify 1 into 1 7.210 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.210 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.210 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.210 * [taylor]: Taking taylor expansion of 1/2 in J 7.210 * [backup-simplify]: Simplify 1/2 into 1/2 7.210 * [taylor]: Taking taylor expansion of K in J 7.210 * [backup-simplify]: Simplify K into K 7.210 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.210 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.210 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.210 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.210 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.211 * [backup-simplify]: Simplify (- 0) into 0 7.211 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.212 * [backup-simplify]: Simplify (* 1 1) into 1 7.212 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.212 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 7.212 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 7.212 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 7.212 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 7.212 * [taylor]: Taking taylor expansion of 2 in J 7.212 * [backup-simplify]: Simplify 2 into 2 7.212 * [taylor]: Taking taylor expansion of (log U) in J 7.212 * [taylor]: Taking taylor expansion of U in J 7.212 * [backup-simplify]: Simplify U into U 7.212 * [backup-simplify]: Simplify (log U) into (log U) 7.213 * [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)))) 7.213 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.213 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.213 * [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))) 7.214 * [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)))) 7.214 * [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))))) 7.214 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.214 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.214 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.214 * [taylor]: Taking taylor expansion of 1/2 in J 7.214 * [backup-simplify]: Simplify 1/2 into 1/2 7.214 * [taylor]: Taking taylor expansion of K in J 7.214 * [backup-simplify]: Simplify K into K 7.214 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.214 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.215 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.215 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.215 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.215 * [backup-simplify]: Simplify (- 0) into 0 7.215 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.215 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.215 * [taylor]: Taking taylor expansion of J in J 7.215 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify 1 into 1 7.216 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.216 * [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)) 7.216 * [backup-simplify]: Simplify (* 1 1) into 1 7.217 * [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)) 7.217 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.218 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.218 * [backup-simplify]: Simplify (+ 0) into 0 7.219 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.219 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.220 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.222 * [backup-simplify]: Simplify (- 0) into 0 7.222 * [backup-simplify]: Simplify (+ 0 0) into 0 7.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.223 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.224 * [backup-simplify]: Simplify (- 0) into 0 7.224 * [backup-simplify]: Simplify (+ 0 0) into 0 7.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.225 * [backup-simplify]: Simplify (+ 0) into 0 7.226 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.226 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.228 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.228 * [backup-simplify]: Simplify (- 0) into 0 7.228 * [backup-simplify]: Simplify (+ 0 0) into 0 7.228 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.229 * [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 7.229 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 7.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 7.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.231 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.232 * [backup-simplify]: Simplify (- 0) into 0 7.232 * [backup-simplify]: Simplify (+ 0 0) into 0 7.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 7.234 * [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 7.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.237 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.237 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.238 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.238 * [backup-simplify]: Simplify (- 0) into 0 7.239 * [backup-simplify]: Simplify (+ 0 0) into 0 7.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.240 * [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 7.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 7.242 * [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 7.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 7.245 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 7.245 * [backup-simplify]: Simplify (- 0) into 0 7.245 * [backup-simplify]: Simplify (+ 0 0) into 0 7.247 * [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 7.249 * [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 7.249 * [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 7.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.251 * [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 7.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.253 * [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 7.255 * [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 7.255 * [taylor]: Taking taylor expansion of 0 in K 7.255 * [backup-simplify]: Simplify 0 into 0 7.255 * [backup-simplify]: Simplify 0 into 0 7.255 * [taylor]: Taking taylor expansion of 0 in K 7.255 * [backup-simplify]: Simplify 0 into 0 7.255 * [backup-simplify]: Simplify 0 into 0 7.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.257 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.257 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.258 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.258 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.259 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.259 * [backup-simplify]: Simplify (- 0) into 0 7.260 * [backup-simplify]: Simplify (+ 0 0) into 0 7.260 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.260 * [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 7.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 7.265 * [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 7.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 7.268 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 7.268 * [backup-simplify]: Simplify (- 0) into 0 7.269 * [backup-simplify]: Simplify (+ 0 0) into 0 7.270 * [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 7.271 * [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 7.271 * [taylor]: Taking taylor expansion of 0 in K 7.271 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify 0 into 0 7.272 * [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)))))) 7.272 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 7.272 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0 7.272 * [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 7.272 * [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 7.272 * [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 7.272 * [taylor]: Taking taylor expansion of 1/4 in K 7.272 * [backup-simplify]: Simplify 1/4 into 1/4 7.272 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 7.273 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 7.273 * [taylor]: Taking taylor expansion of 1 in K 7.273 * [backup-simplify]: Simplify 1 into 1 7.273 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 7.273 * [taylor]: Taking taylor expansion of 1/4 in K 7.273 * [backup-simplify]: Simplify 1/4 into 1/4 7.273 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 7.273 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.273 * [taylor]: Taking taylor expansion of J in K 7.273 * [backup-simplify]: Simplify J into J 7.273 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 7.273 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.273 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.273 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.273 * [taylor]: Taking taylor expansion of -1/2 in K 7.273 * [backup-simplify]: Simplify -1/2 into -1/2 7.273 * [taylor]: Taking taylor expansion of K in K 7.273 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 1 into 1 7.273 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.274 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.274 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.274 * [taylor]: Taking taylor expansion of U in K 7.274 * [backup-simplify]: Simplify U into U 7.274 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.274 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.274 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.274 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.274 * [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))) 7.274 * [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)))) 7.275 * [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))))) 7.275 * [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)))))) 7.276 * [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))))))) 7.276 * [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) 7.276 * [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 7.276 * [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 7.276 * [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 7.276 * [taylor]: Taking taylor expansion of 1/4 in J 7.276 * [backup-simplify]: Simplify 1/4 into 1/4 7.276 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 7.276 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 7.276 * [taylor]: Taking taylor expansion of 1 in J 7.276 * [backup-simplify]: Simplify 1 into 1 7.276 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 7.276 * [taylor]: Taking taylor expansion of 1/4 in J 7.276 * [backup-simplify]: Simplify 1/4 into 1/4 7.276 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 7.276 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.276 * [taylor]: Taking taylor expansion of J in J 7.277 * [backup-simplify]: Simplify 0 into 0 7.277 * [backup-simplify]: Simplify 1 into 1 7.277 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 7.277 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.277 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.277 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.277 * [taylor]: Taking taylor expansion of -1/2 in J 7.277 * [backup-simplify]: Simplify -1/2 into -1/2 7.277 * [taylor]: Taking taylor expansion of K in J 7.277 * [backup-simplify]: Simplify K into K 7.277 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.277 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.277 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.277 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.277 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.278 * [backup-simplify]: Simplify (- 0) into 0 7.278 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.278 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.278 * [taylor]: Taking taylor expansion of U in J 7.278 * [backup-simplify]: Simplify U into U 7.279 * [backup-simplify]: Simplify (* 1 1) into 1 7.279 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.279 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.279 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.279 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.280 * [backup-simplify]: Simplify (+ 1 0) into 1 7.280 * [backup-simplify]: Simplify (log 1) into 0 7.280 * [backup-simplify]: Simplify (* 1/4 0) into 0 7.281 * [backup-simplify]: Simplify (+ 0 0) into 0 7.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.283 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 7.283 * [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))) 7.283 * [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)))) 7.286 * [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))) 7.286 * [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)))) 7.286 * [backup-simplify]: Simplify (exp 0) into 1 7.286 * [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 7.286 * [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 7.286 * [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 7.286 * [taylor]: Taking taylor expansion of 1/4 in U 7.286 * [backup-simplify]: Simplify 1/4 into 1/4 7.287 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.287 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.287 * [taylor]: Taking taylor expansion of 1 in U 7.287 * [backup-simplify]: Simplify 1 into 1 7.287 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.287 * [taylor]: Taking taylor expansion of 1/4 in U 7.287 * [backup-simplify]: Simplify 1/4 into 1/4 7.287 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.287 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.287 * [taylor]: Taking taylor expansion of J in U 7.287 * [backup-simplify]: Simplify J into J 7.287 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.287 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.287 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.287 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.287 * [taylor]: Taking taylor expansion of -1/2 in U 7.287 * [backup-simplify]: Simplify -1/2 into -1/2 7.287 * [taylor]: Taking taylor expansion of K in U 7.287 * [backup-simplify]: Simplify K into K 7.287 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.287 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.287 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.287 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.287 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.288 * [backup-simplify]: Simplify (- 0) into 0 7.288 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.288 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.288 * [taylor]: Taking taylor expansion of U in U 7.288 * [backup-simplify]: Simplify 0 into 0 7.288 * [backup-simplify]: Simplify 1 into 1 7.288 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.288 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.289 * [backup-simplify]: Simplify (* 1 1) into 1 7.289 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.289 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.289 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.290 * [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))) 7.290 * [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)))) 7.291 * [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))) 7.291 * [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)))) 7.291 * [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))))) 7.291 * [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 7.291 * [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 7.291 * [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 7.291 * [taylor]: Taking taylor expansion of 1/4 in U 7.291 * [backup-simplify]: Simplify 1/4 into 1/4 7.291 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.291 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.291 * [taylor]: Taking taylor expansion of 1 in U 7.292 * [backup-simplify]: Simplify 1 into 1 7.292 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.292 * [taylor]: Taking taylor expansion of 1/4 in U 7.292 * [backup-simplify]: Simplify 1/4 into 1/4 7.292 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.292 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.292 * [taylor]: Taking taylor expansion of J in U 7.292 * [backup-simplify]: Simplify J into J 7.292 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.292 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.292 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.292 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.292 * [taylor]: Taking taylor expansion of -1/2 in U 7.292 * [backup-simplify]: Simplify -1/2 into -1/2 7.292 * [taylor]: Taking taylor expansion of K in U 7.292 * [backup-simplify]: Simplify K into K 7.292 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.292 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.292 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.292 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.292 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.293 * [backup-simplify]: Simplify (- 0) into 0 7.293 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.293 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.293 * [taylor]: Taking taylor expansion of U in U 7.293 * [backup-simplify]: Simplify 0 into 0 7.293 * [backup-simplify]: Simplify 1 into 1 7.293 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.293 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.293 * [backup-simplify]: Simplify (* 1 1) into 1 7.294 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.294 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.294 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.294 * [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))) 7.294 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 7.294 * [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))) 7.295 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 7.295 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 7.295 * [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 7.295 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 7.295 * [taylor]: Taking taylor expansion of 1/4 in J 7.295 * [backup-simplify]: Simplify 1/4 into 1/4 7.295 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 7.295 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 7.295 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 7.295 * [taylor]: Taking taylor expansion of 1/4 in J 7.295 * [backup-simplify]: Simplify 1/4 into 1/4 7.295 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 7.295 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.295 * [taylor]: Taking taylor expansion of J in J 7.295 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify 1 into 1 7.295 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.295 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.295 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.295 * [taylor]: Taking taylor expansion of -1/2 in J 7.295 * [backup-simplify]: Simplify -1/2 into -1/2 7.295 * [taylor]: Taking taylor expansion of K in J 7.295 * [backup-simplify]: Simplify K into K 7.295 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.295 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.295 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.295 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.295 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.296 * [backup-simplify]: Simplify (- 0) into 0 7.296 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.296 * [backup-simplify]: Simplify (* 1 1) into 1 7.296 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.296 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 7.296 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.296 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 7.296 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 7.296 * [taylor]: Taking taylor expansion of 2 in J 7.296 * [backup-simplify]: Simplify 2 into 2 7.297 * [taylor]: Taking taylor expansion of (log U) in J 7.297 * [taylor]: Taking taylor expansion of U in J 7.297 * [backup-simplify]: Simplify U into U 7.297 * [backup-simplify]: Simplify (log U) into (log U) 7.297 * [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)))) 7.297 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.297 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.297 * [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))) 7.297 * [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)))) 7.298 * [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))))) 7.298 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 7.298 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 7.298 * [taylor]: Taking taylor expansion of 1/4 in K 7.298 * [backup-simplify]: Simplify 1/4 into 1/4 7.298 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 7.298 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 7.298 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 7.298 * [taylor]: Taking taylor expansion of 2 in K 7.298 * [backup-simplify]: Simplify 2 into 2 7.298 * [taylor]: Taking taylor expansion of (log J) in K 7.298 * [taylor]: Taking taylor expansion of J in K 7.298 * [backup-simplify]: Simplify J into J 7.298 * [backup-simplify]: Simplify (log J) into (log J) 7.298 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 7.298 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 7.298 * [taylor]: Taking taylor expansion of 1/4 in K 7.298 * [backup-simplify]: Simplify 1/4 into 1/4 7.298 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.298 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.298 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.298 * [taylor]: Taking taylor expansion of -1/2 in K 7.298 * [backup-simplify]: Simplify -1/2 into -1/2 7.298 * [taylor]: Taking taylor expansion of K in K 7.298 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify 1 into 1 7.298 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.299 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.299 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 7.299 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 7.299 * [taylor]: Taking taylor expansion of 2 in K 7.299 * [backup-simplify]: Simplify 2 into 2 7.299 * [taylor]: Taking taylor expansion of (log U) in K 7.299 * [taylor]: Taking taylor expansion of U in K 7.299 * [backup-simplify]: Simplify U into U 7.299 * [backup-simplify]: Simplify (log U) into (log U) 7.299 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 7.299 * [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)))) 7.299 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.299 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.299 * [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))) 7.299 * [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)))) 7.300 * [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))))) 7.300 * [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))))) 7.300 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.301 * [backup-simplify]: Simplify (+ 0) into 0 7.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.302 * [backup-simplify]: Simplify (- 0) into 0 7.302 * [backup-simplify]: Simplify (+ 0 0) into 0 7.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.303 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.303 * [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))))) into 0 7.303 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.304 * [backup-simplify]: Simplify (+ 0 0) into 0 7.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 7.304 * [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))) 7.305 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.306 * [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 7.306 * [taylor]: Taking taylor expansion of 0 in J 7.306 * [backup-simplify]: Simplify 0 into 0 7.306 * [taylor]: Taking taylor expansion of 0 in K 7.306 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.306 * [backup-simplify]: Simplify (+ 0) into 0 7.307 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.307 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.307 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.308 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.308 * [backup-simplify]: Simplify (- 0) into 0 7.308 * [backup-simplify]: Simplify (+ 0 0) into 0 7.308 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.308 * [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 7.309 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 7.309 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 7.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.310 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.310 * [backup-simplify]: Simplify (- 0) into 0 7.311 * [backup-simplify]: Simplify (+ 0 0) into 0 7.311 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.312 * [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 7.312 * [taylor]: Taking taylor expansion of 0 in K 7.312 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 7.312 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 7.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.313 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 7.314 * [backup-simplify]: Simplify (+ 0 0) into 0 7.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.314 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.315 * [backup-simplify]: Simplify (- 0) into 0 7.315 * [backup-simplify]: Simplify (+ 0 0) into 0 7.315 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.316 * [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 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.317 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.318 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.318 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.318 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.319 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.319 * [backup-simplify]: Simplify (- 0) into 0 7.319 * [backup-simplify]: Simplify (+ 0 0) into 0 7.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.320 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.320 * [backup-simplify]: 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 7.321 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 7.321 * [backup-simplify]: Simplify (+ 1 0) into 1 7.322 * [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))) 7.323 * [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))) 7.323 * [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)) 7.324 * [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)) 7.324 * [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 7.324 * [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 7.324 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.324 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.324 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.324 * [taylor]: Taking taylor expansion of -1/2 in J 7.324 * [backup-simplify]: Simplify -1/2 into -1/2 7.324 * [taylor]: Taking taylor expansion of K in J 7.324 * [backup-simplify]: Simplify K into K 7.324 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.324 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.324 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.324 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.324 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.325 * [backup-simplify]: Simplify (- 0) into 0 7.325 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.325 * [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 7.325 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 7.325 * [taylor]: Taking taylor expansion of 1/4 in J 7.325 * [backup-simplify]: Simplify 1/4 into 1/4 7.325 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 7.325 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 7.325 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 7.325 * [taylor]: Taking taylor expansion of 1/4 in J 7.325 * [backup-simplify]: Simplify 1/4 into 1/4 7.325 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 7.325 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.325 * [taylor]: Taking taylor expansion of J in J 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 1 into 1 7.325 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.325 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.325 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.325 * [taylor]: Taking taylor expansion of -1/2 in J 7.325 * [backup-simplify]: Simplify -1/2 into -1/2 7.325 * [taylor]: Taking taylor expansion of K in J 7.325 * [backup-simplify]: Simplify K into K 7.325 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.325 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.325 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.325 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.325 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.326 * [backup-simplify]: Simplify (- 0) into 0 7.326 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.326 * [backup-simplify]: Simplify (* 1 1) into 1 7.326 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.326 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 7.326 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.327 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 7.327 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 7.327 * [taylor]: Taking taylor expansion of 2 in J 7.327 * [backup-simplify]: Simplify 2 into 2 7.327 * [taylor]: Taking taylor expansion of (log U) in J 7.327 * [taylor]: Taking taylor expansion of U in J 7.327 * [backup-simplify]: Simplify U into U 7.327 * [backup-simplify]: Simplify (log U) into (log U) 7.327 * [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)))) 7.328 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.328 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.328 * [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))) 7.328 * [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)))) 7.329 * [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))))) 7.329 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.329 * [taylor]: Taking taylor expansion of J in J 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify 1 into 1 7.329 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.329 * [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)))))) 7.330 * [backup-simplify]: Simplify (* 1 1) into 1 7.330 * [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)))))) 7.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.331 * [backup-simplify]: Simplify (+ 0) into 0 7.332 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.332 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.334 * [backup-simplify]: Simplify (- 0) into 0 7.334 * [backup-simplify]: Simplify (+ 0 0) into 0 7.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.335 * [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 7.335 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 7.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 7.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.338 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.338 * [backup-simplify]: Simplify (- 0) into 0 7.339 * [backup-simplify]: Simplify (+ 0 0) into 0 7.339 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.342 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.343 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.344 * [backup-simplify]: Simplify (- 0) into 0 7.344 * [backup-simplify]: Simplify (+ 0 0) into 0 7.345 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.345 * [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 7.346 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 7.348 * [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 7.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 7.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 7.351 * [backup-simplify]: Simplify (- 0) into 0 7.352 * [backup-simplify]: Simplify (+ 0 0) into 0 7.353 * [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 7.354 * [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 7.355 * [backup-simplify]: Simplify (+ 0) into 0 7.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.355 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.357 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.357 * [backup-simplify]: Simplify (- 0) into 0 7.358 * [backup-simplify]: Simplify (+ 0 0) into 0 7.358 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.359 * [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 7.360 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.361 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.361 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.362 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.362 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.363 * [backup-simplify]: Simplify (- 0) into 0 7.363 * [backup-simplify]: Simplify (+ 0 0) into 0 7.364 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.364 * [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 7.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.366 * [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 7.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.368 * [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 7.370 * [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 7.370 * [taylor]: Taking taylor expansion of 0 in K 7.370 * [backup-simplify]: Simplify 0 into 0 7.370 * [backup-simplify]: Simplify 0 into 0 7.370 * [taylor]: Taking taylor expansion of 0 in K 7.370 * [backup-simplify]: Simplify 0 into 0 7.370 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.373 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.373 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.374 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.375 * [backup-simplify]: Simplify (- 0) into 0 7.375 * [backup-simplify]: Simplify (+ 0 0) into 0 7.376 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.376 * [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 7.377 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 7.379 * [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 7.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 7.381 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 7.382 * [backup-simplify]: Simplify (- 0) into 0 7.382 * [backup-simplify]: Simplify (+ 0 0) into 0 7.383 * [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 7.385 * [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 7.385 * [taylor]: Taking taylor expansion of 0 in K 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [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)))))) 7.385 * * * [progress]: simplifying candidates 7.385 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 7.385 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 7.386 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 7.386 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 7.386 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 7.386 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 7.386 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 7.386 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 7.386 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 7.386 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 7.386 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 7.386 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 7.386 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 7.387 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 7.387 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 7.387 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 7.387 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 7.387 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 7.387 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 7.387 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 7.387 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 7.387 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 7.387 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 7.387 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 7.388 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 7.388 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 7.388 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 7.388 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 7.388 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 7.388 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 7.388 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 7.388 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 7.388 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 7.388 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 7.389 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 7.389 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 7.389 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 7.389 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 7.389 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 7.389 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 7.389 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 7.389 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 7.389 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 7.389 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 7.389 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 54 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 7.390 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 7.390 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 7.391 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 7.391 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 7.391 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 7.391 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 7.391 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 7.391 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 7.391 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 7.391 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 7.391 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 7.391 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 7.391 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 7.392 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 7.393 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 7.393 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 7.393 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 7.393 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 7.393 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 7.397 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (exp (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt 1) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))) (sqrt (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (log (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (exp (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (* (cbrt (sqrt (+ (* (/ U (* (* J 2) 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(sqrt 1) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))) (sqrt (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 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)))))) 7.401 * * [simplify]: iteration 1: (92 enodes) 7.440 * * [simplify]: iteration 2: (351 enodes) 7.505 * * [simplify]: iteration 3: (679 enodes) 7.832 * * [simplify]: Extracting #0: cost 35 inf + 0 7.832 * * [simplify]: Extracting #1: cost 112 inf + 3 7.833 * * [simplify]: Extracting #2: cost 282 inf + 287 7.834 * * [simplify]: Extracting #3: cost 694 inf + 1158 7.841 * * [simplify]: Extracting #4: cost 760 inf + 33412 7.866 * * [simplify]: Extracting #5: cost 347 inf + 164267 7.912 * * [simplify]: Extracting #6: cost 175 inf + 213415 7.975 * * [simplify]: Extracting #7: cost 45 inf + 266256 8.055 * * [simplify]: Extracting #8: cost 5 inf + 286997 8.126 * * [simplify]: Extracting #9: cost 0 inf + 289518 8.187 * [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))) (* (+ (* (/ 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))) (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 (+ -1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (sqrt (+ -1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) 1/2 (sqrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (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))) (* (+ (* (/ 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))) (fabs (cbrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) 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(sqrt (+ -1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))) (sqrt (sqrt (+ -1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))) 1 (/ (* (/ 1/2 J) U) (cos (* 1/2 K))) (/ (* (/ 1/2 J) U) (cos (* 1/2 K))) 1 (/ (* (/ 1/2 J) U) (cos (* 1/2 K))) (/ (* (/ 1/2 J) U) (cos (* 1/2 K))) 1 (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/4) (* 1/2 (+ (- (log J)) (log U))))) (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/4) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/4) (* 1/2 (+ (- (log J)) (log U))))) (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/4) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 8.203 * * * [progress]: adding candidates to table 9.740 * * [progress]: iteration 3 / 4 9.740 * * * [progress]: picking best candidate 9.776 * * * * [pick]: Picked # 9.777 * * * [progress]: localizing error 9.842 * * * [progress]: generating rewritten candidates 9.842 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 9.902 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 9.965 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 10.082 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 10.266 * * * [progress]: generating series expansions 10.266 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 10.267 * [backup-simplify]: Simplify (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) 10.267 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in (U J K) around 0 10.267 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in K 10.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 10.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 10.267 * [taylor]: Taking taylor expansion of 1/3 in K 10.267 * [backup-simplify]: Simplify 1/3 into 1/3 10.267 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 10.267 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 10.267 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 10.267 * [taylor]: Taking taylor expansion of 1/4 in K 10.267 * [backup-simplify]: Simplify 1/4 into 1/4 10.267 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.267 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.267 * [taylor]: Taking taylor expansion of U in K 10.267 * [backup-simplify]: Simplify U into U 10.267 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.267 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.267 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.267 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.267 * [taylor]: Taking taylor expansion of 1/2 in K 10.267 * [backup-simplify]: Simplify 1/2 into 1/2 10.267 * [taylor]: Taking taylor expansion of K in K 10.267 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify 1 into 1 10.268 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.268 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.268 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.268 * [taylor]: Taking taylor expansion of J in K 10.268 * [backup-simplify]: Simplify J into J 10.268 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.269 * [backup-simplify]: Simplify (* 1 1) into 1 10.269 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.269 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.269 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 10.269 * [taylor]: Taking taylor expansion of 1 in K 10.269 * [backup-simplify]: Simplify 1 into 1 10.269 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.269 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.269 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.269 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 10.270 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/3) 10.270 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in J 10.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 10.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 10.270 * [taylor]: Taking taylor expansion of 1/3 in J 10.270 * [backup-simplify]: Simplify 1/3 into 1/3 10.270 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 10.270 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 10.270 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 10.270 * [taylor]: Taking taylor expansion of 1/4 in J 10.270 * [backup-simplify]: Simplify 1/4 into 1/4 10.270 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.270 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.270 * [taylor]: Taking taylor expansion of U in J 10.270 * [backup-simplify]: Simplify U into U 10.270 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.270 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.270 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.270 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.270 * [taylor]: Taking taylor expansion of 1/2 in J 10.270 * [backup-simplify]: Simplify 1/2 into 1/2 10.270 * [taylor]: Taking taylor expansion of K in J 10.270 * [backup-simplify]: Simplify K into K 10.270 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.270 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.270 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.270 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.270 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.271 * [backup-simplify]: Simplify (- 0) into 0 10.271 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.271 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.271 * [taylor]: Taking taylor expansion of J in J 10.271 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify 1 into 1 10.271 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.271 * [backup-simplify]: Simplify (* 1 1) into 1 10.271 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.271 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 10.271 * [taylor]: Taking taylor expansion of 1 in J 10.271 * [backup-simplify]: Simplify 1 into 1 10.271 * [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))) 10.272 * [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))) 10.272 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 10.272 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 10.272 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 10.273 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 10.273 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 10.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 10.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 10.273 * [taylor]: Taking taylor expansion of 1/3 in U 10.273 * [backup-simplify]: Simplify 1/3 into 1/3 10.273 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.273 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.273 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.273 * [taylor]: Taking taylor expansion of 1/4 in U 10.273 * [backup-simplify]: Simplify 1/4 into 1/4 10.273 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.273 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.273 * [taylor]: Taking taylor expansion of U in U 10.273 * [backup-simplify]: Simplify 0 into 0 10.273 * [backup-simplify]: Simplify 1 into 1 10.273 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.273 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.273 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.273 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.273 * [taylor]: Taking taylor expansion of 1/2 in U 10.273 * [backup-simplify]: Simplify 1/2 into 1/2 10.273 * [taylor]: Taking taylor expansion of K in U 10.273 * [backup-simplify]: Simplify K into K 10.273 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.273 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.273 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.273 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.273 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.273 * [backup-simplify]: Simplify (- 0) into 0 10.274 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.274 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.274 * [taylor]: Taking taylor expansion of J in U 10.274 * [backup-simplify]: Simplify J into J 10.274 * [backup-simplify]: Simplify (* 1 1) into 1 10.274 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.274 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.274 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.274 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.274 * [taylor]: Taking taylor expansion of 1 in U 10.274 * [backup-simplify]: Simplify 1 into 1 10.275 * [backup-simplify]: Simplify (+ 0 1) into 1 10.275 * [backup-simplify]: Simplify (log 1) into 0 10.275 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.275 * [backup-simplify]: Simplify (+ 0 0) into 0 10.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.277 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.277 * [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))) 10.277 * [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)))) 10.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.278 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.279 * [backup-simplify]: Simplify (exp 0) into 1 10.279 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 10.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 10.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 10.279 * [taylor]: Taking taylor expansion of 1/3 in U 10.279 * [backup-simplify]: Simplify 1/3 into 1/3 10.279 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.279 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.279 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.279 * [taylor]: Taking taylor expansion of 1/4 in U 10.279 * [backup-simplify]: Simplify 1/4 into 1/4 10.279 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.279 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.279 * [taylor]: Taking taylor expansion of U in U 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify 1 into 1 10.279 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.279 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.279 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.279 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.279 * [taylor]: Taking taylor expansion of 1/2 in U 10.279 * [backup-simplify]: Simplify 1/2 into 1/2 10.279 * [taylor]: Taking taylor expansion of K in U 10.279 * [backup-simplify]: Simplify K into K 10.279 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.279 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.279 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.279 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.279 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.279 * [backup-simplify]: Simplify (- 0) into 0 10.279 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.279 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.279 * [taylor]: Taking taylor expansion of J in U 10.279 * [backup-simplify]: Simplify J into J 10.280 * [backup-simplify]: Simplify (* 1 1) into 1 10.280 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.280 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.280 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.280 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.280 * [taylor]: Taking taylor expansion of 1 in U 10.280 * [backup-simplify]: Simplify 1 into 1 10.280 * [backup-simplify]: Simplify (+ 0 1) into 1 10.281 * [backup-simplify]: Simplify (log 1) into 0 10.281 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.281 * [backup-simplify]: Simplify (+ 0 0) into 0 10.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.282 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.282 * [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))) 10.283 * [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)))) 10.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.284 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.284 * [backup-simplify]: Simplify (exp 0) into 1 10.284 * [taylor]: Taking taylor expansion of 1 in J 10.284 * [backup-simplify]: Simplify 1 into 1 10.284 * [taylor]: Taking taylor expansion of 1 in K 10.284 * [backup-simplify]: Simplify 1 into 1 10.284 * [backup-simplify]: Simplify 1 into 1 10.285 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 10.285 * [taylor]: Taking taylor expansion of 0 in J 10.285 * [backup-simplify]: Simplify 0 into 0 10.285 * [taylor]: Taking taylor expansion of 0 in K 10.285 * [backup-simplify]: Simplify 0 into 0 10.285 * [backup-simplify]: Simplify 0 into 0 10.285 * [taylor]: Taking taylor expansion of 0 in K 10.285 * [backup-simplify]: Simplify 0 into 0 10.285 * [backup-simplify]: Simplify 0 into 0 10.285 * [backup-simplify]: Simplify 0 into 0 10.286 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.286 * [taylor]: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.286 * [taylor]: Taking taylor expansion of 1/12 in J 10.286 * [backup-simplify]: Simplify 1/12 into 1/12 10.286 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.286 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.286 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.286 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.286 * [taylor]: Taking taylor expansion of 1/2 in J 10.286 * [backup-simplify]: Simplify 1/2 into 1/2 10.287 * [taylor]: Taking taylor expansion of K in J 10.287 * [backup-simplify]: Simplify K into K 10.287 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.287 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.287 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.287 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.287 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.287 * [backup-simplify]: Simplify (- 0) into 0 10.288 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.288 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.288 * [taylor]: Taking taylor expansion of J in J 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify 1 into 1 10.288 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.288 * [backup-simplify]: Simplify (* 1 1) into 1 10.288 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.288 * [backup-simplify]: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) 10.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.290 * [backup-simplify]: Simplify (+ 0) into 0 10.290 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.291 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.292 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.292 * [backup-simplify]: Simplify (- 0) into 0 10.293 * [backup-simplify]: Simplify (+ 0 0) into 0 10.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.295 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.297 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.297 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.298 * [backup-simplify]: Simplify (- 0) into 0 10.298 * [backup-simplify]: Simplify (+ 0 0) into 0 10.298 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 10.299 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.300 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 10.300 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 10.301 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 10.301 * [taylor]: Taking taylor expansion of 0 in K 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [taylor]: Taking taylor expansion of 0 in K 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [taylor]: Taking taylor expansion of 0 in K 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 1 into 1 10.301 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 10.301 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in (U J K) around 0 10.302 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in K 10.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 10.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 10.302 * [taylor]: Taking taylor expansion of 1/3 in K 10.302 * [backup-simplify]: Simplify 1/3 into 1/3 10.302 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 10.302 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 10.302 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 10.302 * [taylor]: Taking taylor expansion of 1/4 in K 10.302 * [backup-simplify]: Simplify 1/4 into 1/4 10.302 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 10.302 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.302 * [taylor]: Taking taylor expansion of J in K 10.302 * [backup-simplify]: Simplify J into J 10.302 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 10.302 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.302 * [taylor]: Taking taylor expansion of U in K 10.302 * [backup-simplify]: Simplify U into U 10.302 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.302 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.302 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.302 * [taylor]: Taking taylor expansion of 1/2 in K 10.302 * [backup-simplify]: Simplify 1/2 into 1/2 10.302 * [taylor]: Taking taylor expansion of K in K 10.302 * [backup-simplify]: Simplify 0 into 0 10.302 * [backup-simplify]: Simplify 1 into 1 10.303 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.303 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.303 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.303 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.303 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.303 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.303 * [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))) 10.303 * [taylor]: Taking taylor expansion of 1 in K 10.303 * [backup-simplify]: Simplify 1 into 1 10.304 * [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)))) 10.304 * [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) 10.304 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 10.305 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 10.305 * [backup-simplify]: Simplify (exp (* 1/3 (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) 1/3) 10.305 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in J 10.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 10.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 10.305 * [taylor]: Taking taylor expansion of 1/3 in J 10.306 * [backup-simplify]: Simplify 1/3 into 1/3 10.306 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 10.306 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 10.306 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.306 * [taylor]: Taking taylor expansion of 1/4 in J 10.306 * [backup-simplify]: Simplify 1/4 into 1/4 10.306 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 10.306 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.306 * [taylor]: Taking taylor expansion of J in J 10.306 * [backup-simplify]: Simplify 0 into 0 10.306 * [backup-simplify]: Simplify 1 into 1 10.306 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 10.306 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.306 * [taylor]: Taking taylor expansion of U in J 10.306 * [backup-simplify]: Simplify U into U 10.306 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.306 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.306 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.306 * [taylor]: Taking taylor expansion of 1/2 in J 10.306 * [backup-simplify]: Simplify 1/2 into 1/2 10.306 * [taylor]: Taking taylor expansion of K in J 10.306 * [backup-simplify]: Simplify K into K 10.306 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.306 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.306 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.306 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.306 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.307 * [backup-simplify]: Simplify (- 0) into 0 10.307 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.308 * [backup-simplify]: Simplify (* 1 1) into 1 10.308 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.308 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.308 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.308 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.308 * [taylor]: Taking taylor expansion of 1 in J 10.308 * [backup-simplify]: Simplify 1 into 1 10.309 * [backup-simplify]: Simplify (+ 0 1) into 1 10.309 * [backup-simplify]: Simplify (log 1) into 0 10.309 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.310 * [backup-simplify]: Simplify (+ 0 0) into 0 10.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.312 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.312 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.314 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.315 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.315 * [backup-simplify]: Simplify (exp 0) into 1 10.315 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 10.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 10.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 10.315 * [taylor]: Taking taylor expansion of 1/3 in U 10.315 * [backup-simplify]: Simplify 1/3 into 1/3 10.315 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.315 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.316 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.316 * [taylor]: Taking taylor expansion of 1/4 in U 10.316 * [backup-simplify]: Simplify 1/4 into 1/4 10.316 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.316 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.316 * [taylor]: Taking taylor expansion of J in U 10.316 * [backup-simplify]: Simplify J into J 10.316 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.316 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.316 * [taylor]: Taking taylor expansion of U in U 10.316 * [backup-simplify]: Simplify 0 into 0 10.316 * [backup-simplify]: Simplify 1 into 1 10.316 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.316 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.316 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.316 * [taylor]: Taking taylor expansion of 1/2 in U 10.316 * [backup-simplify]: Simplify 1/2 into 1/2 10.316 * [taylor]: Taking taylor expansion of K in U 10.316 * [backup-simplify]: Simplify K into K 10.316 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.316 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.316 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.316 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.316 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.317 * [backup-simplify]: Simplify (- 0) into 0 10.317 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.317 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.317 * [backup-simplify]: Simplify (* 1 1) into 1 10.318 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.318 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.318 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.318 * [taylor]: Taking taylor expansion of 1 in U 10.318 * [backup-simplify]: Simplify 1 into 1 10.318 * [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))) 10.318 * [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))) 10.319 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.319 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.320 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.320 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.320 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 10.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 10.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 10.320 * [taylor]: Taking taylor expansion of 1/3 in U 10.320 * [backup-simplify]: Simplify 1/3 into 1/3 10.320 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.320 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.320 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.320 * [taylor]: Taking taylor expansion of 1/4 in U 10.320 * [backup-simplify]: Simplify 1/4 into 1/4 10.321 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.321 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.321 * [taylor]: Taking taylor expansion of J in U 10.321 * [backup-simplify]: Simplify J into J 10.321 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.321 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.321 * [taylor]: Taking taylor expansion of U in U 10.321 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify 1 into 1 10.321 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.321 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.321 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.321 * [taylor]: Taking taylor expansion of 1/2 in U 10.321 * [backup-simplify]: Simplify 1/2 into 1/2 10.321 * [taylor]: Taking taylor expansion of K in U 10.321 * [backup-simplify]: Simplify K into K 10.321 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.321 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.321 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.321 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.321 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.322 * [backup-simplify]: Simplify (- 0) into 0 10.322 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.322 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.322 * [backup-simplify]: Simplify (* 1 1) into 1 10.322 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.323 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.323 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.323 * [taylor]: Taking taylor expansion of 1 in U 10.323 * [backup-simplify]: Simplify 1 into 1 10.323 * [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))) 10.323 * [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))) 10.323 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.324 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.324 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.325 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 10.325 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.325 * [taylor]: Taking taylor expansion of 1/3 in J 10.325 * [backup-simplify]: Simplify 1/3 into 1/3 10.325 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.325 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.325 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.325 * [taylor]: Taking taylor expansion of 1/4 in J 10.325 * [backup-simplify]: Simplify 1/4 into 1/4 10.325 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.325 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.325 * [taylor]: Taking taylor expansion of J in J 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 1 into 1 10.325 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.325 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.325 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.325 * [taylor]: Taking taylor expansion of 1/2 in J 10.325 * [backup-simplify]: Simplify 1/2 into 1/2 10.325 * [taylor]: Taking taylor expansion of K in J 10.325 * [backup-simplify]: Simplify K into K 10.325 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.326 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.326 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.326 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.326 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.326 * [backup-simplify]: Simplify (- 0) into 0 10.326 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.327 * [backup-simplify]: Simplify (* 1 1) into 1 10.327 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.327 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.327 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.327 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.327 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.327 * [taylor]: Taking taylor expansion of 2 in J 10.327 * [backup-simplify]: Simplify 2 into 2 10.327 * [taylor]: Taking taylor expansion of (log U) in J 10.327 * [taylor]: Taking taylor expansion of U in J 10.327 * [backup-simplify]: Simplify U into U 10.328 * [backup-simplify]: Simplify (log U) into (log U) 10.328 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.328 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.328 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.329 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.329 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.329 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 10.329 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 10.329 * [taylor]: Taking taylor expansion of 1/3 in K 10.329 * [backup-simplify]: Simplify 1/3 into 1/3 10.329 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 10.329 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 10.329 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.329 * [taylor]: Taking taylor expansion of 2 in K 10.330 * [backup-simplify]: Simplify 2 into 2 10.330 * [taylor]: Taking taylor expansion of (log J) in K 10.330 * [taylor]: Taking taylor expansion of J in K 10.330 * [backup-simplify]: Simplify J into J 10.330 * [backup-simplify]: Simplify (log J) into (log J) 10.330 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 10.330 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 10.330 * [taylor]: Taking taylor expansion of 1/4 in K 10.330 * [backup-simplify]: Simplify 1/4 into 1/4 10.330 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.330 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.330 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.330 * [taylor]: Taking taylor expansion of 1/2 in K 10.330 * [backup-simplify]: Simplify 1/2 into 1/2 10.330 * [taylor]: Taking taylor expansion of K in K 10.330 * [backup-simplify]: Simplify 0 into 0 10.330 * [backup-simplify]: Simplify 1 into 1 10.330 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.331 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.331 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.331 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.331 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.331 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.331 * [taylor]: Taking taylor expansion of 2 in K 10.331 * [backup-simplify]: Simplify 2 into 2 10.331 * [taylor]: Taking taylor expansion of (log U) in K 10.331 * [taylor]: Taking taylor expansion of U in K 10.331 * [backup-simplify]: Simplify U into U 10.331 * [backup-simplify]: Simplify (log U) into (log U) 10.331 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.331 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.332 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.332 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.332 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.332 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.332 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.333 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.333 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.333 * [backup-simplify]: Simplify (+ 0) into 0 10.334 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.334 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.335 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.335 * [backup-simplify]: Simplify (- 0) into 0 10.335 * [backup-simplify]: Simplify (+ 0 0) into 0 10.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.336 * [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 10.337 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.337 * [backup-simplify]: Simplify (+ 0 0) into 0 10.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 10.338 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.339 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.339 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.339 * [taylor]: Taking taylor expansion of 0 in J 10.339 * [backup-simplify]: Simplify 0 into 0 10.339 * [taylor]: Taking taylor expansion of 0 in K 10.339 * [backup-simplify]: Simplify 0 into 0 10.339 * [backup-simplify]: Simplify 0 into 0 10.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.340 * [backup-simplify]: Simplify (+ 0) into 0 10.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.341 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.341 * [backup-simplify]: Simplify (- 0) into 0 10.342 * [backup-simplify]: Simplify (+ 0 0) into 0 10.342 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.342 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.342 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.344 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.344 * [backup-simplify]: Simplify (- 0) into 0 10.344 * [backup-simplify]: Simplify (+ 0 0) into 0 10.344 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.345 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.345 * [taylor]: Taking taylor expansion of 0 in K 10.345 * [backup-simplify]: Simplify 0 into 0 10.345 * [backup-simplify]: Simplify 0 into 0 10.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.346 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.346 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.347 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.347 * [backup-simplify]: Simplify (+ 0 0) into 0 10.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.348 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.348 * [backup-simplify]: Simplify (- 0) into 0 10.348 * [backup-simplify]: Simplify (+ 0 0) into 0 10.349 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.349 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.349 * [backup-simplify]: Simplify 0 into 0 10.350 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.350 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.351 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.351 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.351 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.352 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.352 * [backup-simplify]: Simplify (- 0) into 0 10.352 * [backup-simplify]: Simplify (+ 0 0) into 0 10.353 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.354 * [backup-simplify]: 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 10.355 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.355 * [backup-simplify]: Simplify (+ 0 1) into 1 10.356 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 10.357 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.357 * [backup-simplify]: Simplify (+ (* 1/3 (* 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 (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 10.358 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 10.358 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 10.358 * [taylor]: Taking taylor expansion of 4/3 in J 10.358 * [backup-simplify]: Simplify 4/3 into 4/3 10.358 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 10.358 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 10.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 10.358 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.358 * [taylor]: Taking taylor expansion of 1/3 in J 10.358 * [backup-simplify]: Simplify 1/3 into 1/3 10.358 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.358 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.358 * [taylor]: Taking taylor expansion of 1/4 in J 10.358 * [backup-simplify]: Simplify 1/4 into 1/4 10.358 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.358 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.358 * [taylor]: Taking taylor expansion of J in J 10.358 * [backup-simplify]: Simplify 0 into 0 10.358 * [backup-simplify]: Simplify 1 into 1 10.358 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.358 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.358 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.358 * [taylor]: Taking taylor expansion of 1/2 in J 10.358 * [backup-simplify]: Simplify 1/2 into 1/2 10.358 * [taylor]: Taking taylor expansion of K in J 10.358 * [backup-simplify]: Simplify K into K 10.358 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.358 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.358 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.359 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.359 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.359 * [backup-simplify]: Simplify (- 0) into 0 10.359 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.359 * [backup-simplify]: Simplify (* 1 1) into 1 10.359 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.359 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.359 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.359 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.360 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.360 * [taylor]: Taking taylor expansion of 2 in J 10.360 * [backup-simplify]: Simplify 2 into 2 10.360 * [taylor]: Taking taylor expansion of (log U) in J 10.360 * [taylor]: Taking taylor expansion of U in J 10.360 * [backup-simplify]: Simplify U into U 10.360 * [backup-simplify]: Simplify (log U) into (log U) 10.360 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.360 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.360 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.360 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.360 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.361 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.361 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.361 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.361 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.361 * [taylor]: Taking taylor expansion of 1/2 in J 10.361 * [backup-simplify]: Simplify 1/2 into 1/2 10.361 * [taylor]: Taking taylor expansion of K in J 10.361 * [backup-simplify]: Simplify K into K 10.361 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.361 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.361 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.361 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.361 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.361 * [backup-simplify]: Simplify (- 0) into 0 10.361 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.361 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.361 * [taylor]: Taking taylor expansion of J in J 10.361 * [backup-simplify]: Simplify 0 into 0 10.361 * [backup-simplify]: Simplify 1 into 1 10.362 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.362 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 10.362 * [backup-simplify]: Simplify (* 1 1) into 1 10.363 * [backup-simplify]: Simplify (/ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 10.363 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.364 * [backup-simplify]: Simplify (+ 0) into 0 10.365 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.365 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.366 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.367 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.368 * [backup-simplify]: Simplify (- 0) into 0 10.368 * [backup-simplify]: Simplify (+ 0 0) into 0 10.369 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.369 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.369 * [backup-simplify]: Simplify (- 0) into 0 10.370 * [backup-simplify]: Simplify (+ 0 0) into 0 10.370 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.371 * [backup-simplify]: Simplify (+ 0) into 0 10.372 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.372 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.374 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.374 * [backup-simplify]: Simplify (- 0) into 0 10.374 * [backup-simplify]: Simplify (+ 0 0) into 0 10.375 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.375 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.382 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.383 * [backup-simplify]: Simplify (- 0) into 0 10.383 * [backup-simplify]: Simplify (+ 0 0) into 0 10.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.385 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.385 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.388 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.389 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.389 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.390 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.390 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.391 * [backup-simplify]: Simplify (- 0) into 0 10.391 * [backup-simplify]: Simplify (+ 0 0) into 0 10.391 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.392 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.395 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.396 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.397 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.398 * [backup-simplify]: Simplify (- 0) into 0 10.398 * [backup-simplify]: Simplify (+ 0 0) into 0 10.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.401 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.402 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.403 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 10.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.408 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 10.408 * [taylor]: Taking taylor expansion of 0 in K 10.408 * [backup-simplify]: Simplify 0 into 0 10.408 * [backup-simplify]: Simplify 0 into 0 10.408 * [taylor]: Taking taylor expansion of 0 in K 10.408 * [backup-simplify]: Simplify 0 into 0 10.408 * [backup-simplify]: Simplify 0 into 0 10.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.411 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.411 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.412 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.412 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.413 * [backup-simplify]: Simplify (- 0) into 0 10.413 * [backup-simplify]: Simplify (+ 0 0) into 0 10.414 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.414 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.415 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.417 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.419 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.420 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.420 * [backup-simplify]: Simplify (- 0) into 0 10.421 * [backup-simplify]: Simplify (+ 0 0) into 0 10.422 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.423 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.423 * [taylor]: Taking taylor expansion of 0 in K 10.423 * [backup-simplify]: Simplify 0 into 0 10.423 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 10.425 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 10.425 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in (U J K) around 0 10.425 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in K 10.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 10.425 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 10.425 * [taylor]: Taking taylor expansion of 1/3 in K 10.425 * [backup-simplify]: Simplify 1/3 into 1/3 10.425 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 10.425 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 10.425 * [taylor]: Taking taylor expansion of 1 in K 10.425 * [backup-simplify]: Simplify 1 into 1 10.425 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 10.425 * [taylor]: Taking taylor expansion of 1/4 in K 10.425 * [backup-simplify]: Simplify 1/4 into 1/4 10.425 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 10.425 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.425 * [taylor]: Taking taylor expansion of J in K 10.425 * [backup-simplify]: Simplify J into J 10.425 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 10.425 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.425 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.425 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.425 * [taylor]: Taking taylor expansion of -1/2 in K 10.425 * [backup-simplify]: Simplify -1/2 into -1/2 10.425 * [taylor]: Taking taylor expansion of K in K 10.425 * [backup-simplify]: Simplify 0 into 0 10.425 * [backup-simplify]: Simplify 1 into 1 10.426 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.426 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.426 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.426 * [taylor]: Taking taylor expansion of U in K 10.426 * [backup-simplify]: Simplify U into U 10.426 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.426 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.426 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.426 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.427 * [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))) 10.427 * [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)))) 10.427 * [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))))) 10.428 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 10.428 * [backup-simplify]: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 10.429 * [backup-simplify]: Simplify (exp (* 1/3 (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))))) 1/3) 10.429 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in J 10.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 10.429 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 10.429 * [taylor]: Taking taylor expansion of 1/3 in J 10.429 * [backup-simplify]: Simplify 1/3 into 1/3 10.429 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 10.429 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 10.429 * [taylor]: Taking taylor expansion of 1 in J 10.429 * [backup-simplify]: Simplify 1 into 1 10.429 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 10.429 * [taylor]: Taking taylor expansion of 1/4 in J 10.429 * [backup-simplify]: Simplify 1/4 into 1/4 10.429 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 10.429 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.429 * [taylor]: Taking taylor expansion of J in J 10.429 * [backup-simplify]: Simplify 0 into 0 10.429 * [backup-simplify]: Simplify 1 into 1 10.429 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 10.429 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.429 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.429 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.429 * [taylor]: Taking taylor expansion of -1/2 in J 10.429 * [backup-simplify]: Simplify -1/2 into -1/2 10.429 * [taylor]: Taking taylor expansion of K in J 10.429 * [backup-simplify]: Simplify K into K 10.429 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.429 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.430 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.430 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.430 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.430 * [backup-simplify]: Simplify (- 0) into 0 10.430 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.430 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.430 * [taylor]: Taking taylor expansion of U in J 10.430 * [backup-simplify]: Simplify U into U 10.431 * [backup-simplify]: Simplify (* 1 1) into 1 10.431 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.431 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.431 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.431 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.432 * [backup-simplify]: Simplify (+ 1 0) into 1 10.432 * [backup-simplify]: Simplify (log 1) into 0 10.433 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.433 * [backup-simplify]: Simplify (+ 0 0) into 0 10.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.435 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.436 * [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)))) 10.438 * [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))) 10.439 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.439 * [backup-simplify]: Simplify (exp 0) into 1 10.439 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 10.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 10.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 10.439 * [taylor]: Taking taylor expansion of 1/3 in U 10.439 * [backup-simplify]: Simplify 1/3 into 1/3 10.439 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.439 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.439 * [taylor]: Taking taylor expansion of 1 in U 10.439 * [backup-simplify]: Simplify 1 into 1 10.439 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.439 * [taylor]: Taking taylor expansion of 1/4 in U 10.439 * [backup-simplify]: Simplify 1/4 into 1/4 10.439 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.439 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.439 * [taylor]: Taking taylor expansion of J in U 10.439 * [backup-simplify]: Simplify J into J 10.439 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.439 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.439 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.439 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.439 * [taylor]: Taking taylor expansion of -1/2 in U 10.439 * [backup-simplify]: Simplify -1/2 into -1/2 10.439 * [taylor]: Taking taylor expansion of K in U 10.439 * [backup-simplify]: Simplify K into K 10.439 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.439 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.440 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.440 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.440 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.440 * [backup-simplify]: Simplify (- 0) into 0 10.440 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.440 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.440 * [taylor]: Taking taylor expansion of U in U 10.440 * [backup-simplify]: Simplify 0 into 0 10.440 * [backup-simplify]: Simplify 1 into 1 10.440 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.441 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.441 * [backup-simplify]: Simplify (* 1 1) into 1 10.441 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.441 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.441 * [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))) 10.442 * [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))) 10.442 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.443 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.443 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.443 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.443 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 10.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 10.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 10.443 * [taylor]: Taking taylor expansion of 1/3 in U 10.443 * [backup-simplify]: Simplify 1/3 into 1/3 10.443 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.443 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.443 * [taylor]: Taking taylor expansion of 1 in U 10.443 * [backup-simplify]: Simplify 1 into 1 10.444 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.444 * [taylor]: Taking taylor expansion of 1/4 in U 10.444 * [backup-simplify]: Simplify 1/4 into 1/4 10.444 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.444 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.444 * [taylor]: Taking taylor expansion of J in U 10.444 * [backup-simplify]: Simplify J into J 10.444 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.444 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.444 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.444 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.444 * [taylor]: Taking taylor expansion of -1/2 in U 10.444 * [backup-simplify]: Simplify -1/2 into -1/2 10.444 * [taylor]: Taking taylor expansion of K in U 10.444 * [backup-simplify]: Simplify K into K 10.444 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.444 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.444 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.444 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.444 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.445 * [backup-simplify]: Simplify (- 0) into 0 10.445 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.445 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.445 * [taylor]: Taking taylor expansion of U in U 10.445 * [backup-simplify]: Simplify 0 into 0 10.445 * [backup-simplify]: Simplify 1 into 1 10.445 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.445 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.445 * [backup-simplify]: Simplify (* 1 1) into 1 10.445 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.446 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.446 * [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))) 10.446 * [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))) 10.446 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.447 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.448 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.448 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 10.448 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.448 * [taylor]: Taking taylor expansion of 1/3 in J 10.448 * [backup-simplify]: Simplify 1/3 into 1/3 10.448 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.448 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.448 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.448 * [taylor]: Taking taylor expansion of 1/4 in J 10.448 * [backup-simplify]: Simplify 1/4 into 1/4 10.448 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.448 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.448 * [taylor]: Taking taylor expansion of J in J 10.448 * [backup-simplify]: Simplify 0 into 0 10.448 * [backup-simplify]: Simplify 1 into 1 10.449 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.449 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.449 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.449 * [taylor]: Taking taylor expansion of -1/2 in J 10.449 * [backup-simplify]: Simplify -1/2 into -1/2 10.449 * [taylor]: Taking taylor expansion of K in J 10.449 * [backup-simplify]: Simplify K into K 10.449 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.449 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.449 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.449 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.449 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.450 * [backup-simplify]: Simplify (- 0) into 0 10.450 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.450 * [backup-simplify]: Simplify (* 1 1) into 1 10.450 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.450 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.450 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.451 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.451 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.451 * [taylor]: Taking taylor expansion of 2 in J 10.451 * [backup-simplify]: Simplify 2 into 2 10.451 * [taylor]: Taking taylor expansion of (log U) in J 10.451 * [taylor]: Taking taylor expansion of U in J 10.451 * [backup-simplify]: Simplify U into U 10.451 * [backup-simplify]: Simplify (log U) into (log U) 10.451 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.452 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.452 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.452 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.452 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.453 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 10.453 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 10.453 * [taylor]: Taking taylor expansion of 1/3 in K 10.453 * [backup-simplify]: Simplify 1/3 into 1/3 10.453 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 10.453 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 10.453 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.453 * [taylor]: Taking taylor expansion of 2 in K 10.453 * [backup-simplify]: Simplify 2 into 2 10.453 * [taylor]: Taking taylor expansion of (log J) in K 10.453 * [taylor]: Taking taylor expansion of J in K 10.453 * [backup-simplify]: Simplify J into J 10.453 * [backup-simplify]: Simplify (log J) into (log J) 10.453 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 10.453 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 10.453 * [taylor]: Taking taylor expansion of 1/4 in K 10.453 * [backup-simplify]: Simplify 1/4 into 1/4 10.453 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.453 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.453 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.453 * [taylor]: Taking taylor expansion of -1/2 in K 10.453 * [backup-simplify]: Simplify -1/2 into -1/2 10.453 * [taylor]: Taking taylor expansion of K in K 10.453 * [backup-simplify]: Simplify 0 into 0 10.454 * [backup-simplify]: Simplify 1 into 1 10.454 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.454 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.454 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.454 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.455 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.455 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.455 * [taylor]: Taking taylor expansion of 2 in K 10.455 * [backup-simplify]: Simplify 2 into 2 10.455 * [taylor]: Taking taylor expansion of (log U) in K 10.455 * [taylor]: Taking taylor expansion of U in K 10.455 * [backup-simplify]: Simplify U into U 10.455 * [backup-simplify]: Simplify (log U) into (log U) 10.455 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.455 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.455 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.455 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.455 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.456 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.456 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.456 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.457 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.458 * [backup-simplify]: Simplify (+ 0) into 0 10.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.459 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.460 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.460 * [backup-simplify]: Simplify (- 0) into 0 10.461 * [backup-simplify]: Simplify (+ 0 0) into 0 10.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.461 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 10.462 * [backup-simplify]: 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 10.462 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 10.463 * [backup-simplify]: Simplify (+ 0 0) into 0 10.464 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 10.464 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.466 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.466 * [taylor]: Taking taylor expansion of 0 in J 10.466 * [backup-simplify]: Simplify 0 into 0 10.466 * [taylor]: Taking taylor expansion of 0 in K 10.466 * [backup-simplify]: Simplify 0 into 0 10.466 * [backup-simplify]: Simplify 0 into 0 10.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.468 * [backup-simplify]: Simplify (+ 0) into 0 10.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.468 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.469 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.470 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.470 * [backup-simplify]: Simplify (- 0) into 0 10.470 * [backup-simplify]: Simplify (+ 0 0) into 0 10.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.471 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.471 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.473 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.474 * [backup-simplify]: Simplify (- 0) into 0 10.474 * [backup-simplify]: Simplify (+ 0 0) into 0 10.475 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.476 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.476 * [taylor]: Taking taylor expansion of 0 in K 10.476 * [backup-simplify]: Simplify 0 into 0 10.476 * [backup-simplify]: Simplify 0 into 0 10.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.477 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.478 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.478 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.479 * [backup-simplify]: Simplify (+ 0 0) into 0 10.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.481 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.481 * [backup-simplify]: Simplify (- 0) into 0 10.481 * [backup-simplify]: Simplify (+ 0 0) into 0 10.482 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.483 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.483 * [backup-simplify]: Simplify 0 into 0 10.484 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.486 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.487 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.488 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.488 * [backup-simplify]: Simplify (- 0) into 0 10.489 * [backup-simplify]: Simplify (+ 0 0) into 0 10.489 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.490 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.490 * [backup-simplify]: 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 10.491 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 10.492 * [backup-simplify]: Simplify (+ 1 0) into 1 10.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 10.495 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.496 * [backup-simplify]: Simplify (+ (* 1/3 (* 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 (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 10.497 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 10.497 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 10.497 * [taylor]: Taking taylor expansion of 4/3 in J 10.497 * [backup-simplify]: Simplify 4/3 into 4/3 10.497 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 10.497 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 10.497 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.497 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.497 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.497 * [taylor]: Taking taylor expansion of -1/2 in J 10.497 * [backup-simplify]: Simplify -1/2 into -1/2 10.497 * [taylor]: Taking taylor expansion of K in J 10.497 * [backup-simplify]: Simplify K into K 10.497 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.497 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.497 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.498 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.498 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.498 * [backup-simplify]: Simplify (- 0) into 0 10.499 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 10.499 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.499 * [taylor]: Taking taylor expansion of 1/3 in J 10.499 * [backup-simplify]: Simplify 1/3 into 1/3 10.499 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.499 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.499 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.499 * [taylor]: Taking taylor expansion of 1/4 in J 10.499 * [backup-simplify]: Simplify 1/4 into 1/4 10.499 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.499 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.499 * [taylor]: Taking taylor expansion of J in J 10.499 * [backup-simplify]: Simplify 0 into 0 10.499 * [backup-simplify]: Simplify 1 into 1 10.499 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.499 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.499 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.499 * [taylor]: Taking taylor expansion of -1/2 in J 10.499 * [backup-simplify]: Simplify -1/2 into -1/2 10.499 * [taylor]: Taking taylor expansion of K in J 10.499 * [backup-simplify]: Simplify K into K 10.499 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.499 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.499 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.500 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.500 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.500 * [backup-simplify]: Simplify (- 0) into 0 10.500 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.501 * [backup-simplify]: Simplify (* 1 1) into 1 10.501 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.501 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.501 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.501 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.501 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.501 * [taylor]: Taking taylor expansion of 2 in J 10.501 * [backup-simplify]: Simplify 2 into 2 10.501 * [taylor]: Taking taylor expansion of (log U) in J 10.501 * [taylor]: Taking taylor expansion of U in J 10.501 * [backup-simplify]: Simplify U into U 10.501 * [backup-simplify]: Simplify (log U) into (log U) 10.502 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.502 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.502 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.502 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.503 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.503 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.503 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.503 * [taylor]: Taking taylor expansion of J in J 10.503 * [backup-simplify]: Simplify 0 into 0 10.503 * [backup-simplify]: Simplify 1 into 1 10.503 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.504 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 10.504 * [backup-simplify]: Simplify (* 1 1) into 1 10.505 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 10.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.506 * [backup-simplify]: Simplify (+ 0) into 0 10.506 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.508 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.508 * [backup-simplify]: Simplify (- 0) into 0 10.509 * [backup-simplify]: Simplify (+ 0 0) into 0 10.509 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.509 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.510 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.512 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.512 * [backup-simplify]: Simplify (- 0) into 0 10.512 * [backup-simplify]: Simplify (+ 0 0) into 0 10.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.515 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.516 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.516 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.517 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.517 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.518 * [backup-simplify]: Simplify (- 0) into 0 10.518 * [backup-simplify]: Simplify (+ 0 0) into 0 10.519 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.519 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.520 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.522 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 10.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.524 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.525 * [backup-simplify]: Simplify (- 0) into 0 10.525 * [backup-simplify]: Simplify (+ 0 0) into 0 10.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.527 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.527 * [backup-simplify]: Simplify (+ 0) into 0 10.527 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.527 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.528 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.528 * [backup-simplify]: Simplify (- 0) into 0 10.529 * [backup-simplify]: Simplify (+ 0 0) into 0 10.529 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.530 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.534 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.535 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.536 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.536 * [backup-simplify]: Simplify (- 0) into 0 10.536 * [backup-simplify]: Simplify (+ 0 0) into 0 10.536 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.537 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 10.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.538 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 10.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 10.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.541 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 10.541 * [taylor]: Taking taylor expansion of 0 in K 10.541 * [backup-simplify]: Simplify 0 into 0 10.541 * [backup-simplify]: Simplify 0 into 0 10.541 * [taylor]: Taking taylor expansion of 0 in K 10.541 * [backup-simplify]: Simplify 0 into 0 10.541 * [backup-simplify]: Simplify 0 into 0 10.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.542 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.543 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.543 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.543 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.544 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.544 * [backup-simplify]: Simplify (- 0) into 0 10.544 * [backup-simplify]: Simplify (+ 0 0) into 0 10.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.545 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 10.547 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.548 * [backup-simplify]: Simplify (- 0) into 0 10.548 * [backup-simplify]: Simplify (+ 0 0) into 0 10.549 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.550 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.550 * [taylor]: Taking taylor expansion of 0 in K 10.550 * [backup-simplify]: Simplify 0 into 0 10.550 * [backup-simplify]: Simplify 0 into 0 10.550 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 10.551 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 10.551 * [backup-simplify]: Simplify (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) 10.551 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in (U J K) around 0 10.551 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in K 10.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 10.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 10.551 * [taylor]: Taking taylor expansion of 1/3 in K 10.551 * [backup-simplify]: Simplify 1/3 into 1/3 10.551 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 10.551 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 10.551 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 10.551 * [taylor]: Taking taylor expansion of 1/4 in K 10.551 * [backup-simplify]: Simplify 1/4 into 1/4 10.551 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.551 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.551 * [taylor]: Taking taylor expansion of U in K 10.551 * [backup-simplify]: Simplify U into U 10.551 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.551 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.551 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.551 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.551 * [taylor]: Taking taylor expansion of 1/2 in K 10.551 * [backup-simplify]: Simplify 1/2 into 1/2 10.551 * [taylor]: Taking taylor expansion of K in K 10.551 * [backup-simplify]: Simplify 0 into 0 10.551 * [backup-simplify]: Simplify 1 into 1 10.551 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.552 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.552 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.552 * [taylor]: Taking taylor expansion of J in K 10.552 * [backup-simplify]: Simplify J into J 10.552 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.552 * [backup-simplify]: Simplify (* 1 1) into 1 10.552 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.552 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.552 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 10.552 * [taylor]: Taking taylor expansion of 1 in K 10.553 * [backup-simplify]: Simplify 1 into 1 10.553 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.553 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.553 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.553 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 10.553 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/3) 10.553 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in J 10.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 10.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 10.553 * [taylor]: Taking taylor expansion of 1/3 in J 10.553 * [backup-simplify]: Simplify 1/3 into 1/3 10.553 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 10.553 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 10.553 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 10.553 * [taylor]: Taking taylor expansion of 1/4 in J 10.553 * [backup-simplify]: Simplify 1/4 into 1/4 10.553 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.553 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.553 * [taylor]: Taking taylor expansion of U in J 10.553 * [backup-simplify]: Simplify U into U 10.553 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.553 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.553 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.553 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.554 * [taylor]: Taking taylor expansion of 1/2 in J 10.554 * [backup-simplify]: Simplify 1/2 into 1/2 10.554 * [taylor]: Taking taylor expansion of K in J 10.554 * [backup-simplify]: Simplify K into K 10.554 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.554 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.554 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.554 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.554 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.554 * [backup-simplify]: Simplify (- 0) into 0 10.554 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.554 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.554 * [taylor]: Taking taylor expansion of J in J 10.554 * [backup-simplify]: Simplify 0 into 0 10.554 * [backup-simplify]: Simplify 1 into 1 10.554 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.554 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.555 * [backup-simplify]: Simplify (* 1 1) into 1 10.555 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.555 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 10.555 * [taylor]: Taking taylor expansion of 1 in J 10.555 * [backup-simplify]: Simplify 1 into 1 10.555 * [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))) 10.555 * [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))) 10.555 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 10.556 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 10.556 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 10.556 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 10.556 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 10.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 10.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 10.556 * [taylor]: Taking taylor expansion of 1/3 in U 10.556 * [backup-simplify]: Simplify 1/3 into 1/3 10.556 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.556 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.556 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.556 * [taylor]: Taking taylor expansion of 1/4 in U 10.556 * [backup-simplify]: Simplify 1/4 into 1/4 10.556 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.556 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.556 * [taylor]: Taking taylor expansion of U in U 10.556 * [backup-simplify]: Simplify 0 into 0 10.556 * [backup-simplify]: Simplify 1 into 1 10.556 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.556 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.556 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.556 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.556 * [taylor]: Taking taylor expansion of 1/2 in U 10.556 * [backup-simplify]: Simplify 1/2 into 1/2 10.556 * [taylor]: Taking taylor expansion of K in U 10.556 * [backup-simplify]: Simplify K into K 10.556 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.556 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.556 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.556 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.556 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.557 * [backup-simplify]: Simplify (- 0) into 0 10.557 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.557 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.557 * [taylor]: Taking taylor expansion of J in U 10.557 * [backup-simplify]: Simplify J into J 10.557 * [backup-simplify]: Simplify (* 1 1) into 1 10.557 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.557 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.557 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.558 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.558 * [taylor]: Taking taylor expansion of 1 in U 10.558 * [backup-simplify]: Simplify 1 into 1 10.558 * [backup-simplify]: Simplify (+ 0 1) into 1 10.558 * [backup-simplify]: Simplify (log 1) into 0 10.559 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.559 * [backup-simplify]: Simplify (+ 0 0) into 0 10.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.561 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.562 * [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))) 10.562 * [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)))) 10.564 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.565 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.565 * [backup-simplify]: Simplify (exp 0) into 1 10.565 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 10.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 10.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 10.565 * [taylor]: Taking taylor expansion of 1/3 in U 10.565 * [backup-simplify]: Simplify 1/3 into 1/3 10.565 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.565 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.565 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.565 * [taylor]: Taking taylor expansion of 1/4 in U 10.565 * [backup-simplify]: Simplify 1/4 into 1/4 10.565 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.565 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.565 * [taylor]: Taking taylor expansion of U in U 10.565 * [backup-simplify]: Simplify 0 into 0 10.565 * [backup-simplify]: Simplify 1 into 1 10.565 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.565 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.565 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.565 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.565 * [taylor]: Taking taylor expansion of 1/2 in U 10.565 * [backup-simplify]: Simplify 1/2 into 1/2 10.565 * [taylor]: Taking taylor expansion of K in U 10.565 * [backup-simplify]: Simplify K into K 10.565 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.566 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.566 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.566 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.566 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.566 * [backup-simplify]: Simplify (- 0) into 0 10.566 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.566 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.566 * [taylor]: Taking taylor expansion of J in U 10.566 * [backup-simplify]: Simplify J into J 10.567 * [backup-simplify]: Simplify (* 1 1) into 1 10.567 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.567 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.567 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.567 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.567 * [taylor]: Taking taylor expansion of 1 in U 10.567 * [backup-simplify]: Simplify 1 into 1 10.568 * [backup-simplify]: Simplify (+ 0 1) into 1 10.568 * [backup-simplify]: Simplify (log 1) into 0 10.569 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.569 * [backup-simplify]: Simplify (+ 0 0) into 0 10.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.571 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.571 * [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))) 10.572 * [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)))) 10.574 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.574 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.574 * [backup-simplify]: Simplify (exp 0) into 1 10.574 * [taylor]: Taking taylor expansion of 1 in J 10.574 * [backup-simplify]: Simplify 1 into 1 10.574 * [taylor]: Taking taylor expansion of 1 in K 10.574 * [backup-simplify]: Simplify 1 into 1 10.574 * [backup-simplify]: Simplify 1 into 1 10.575 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 10.575 * [taylor]: Taking taylor expansion of 0 in J 10.575 * [backup-simplify]: Simplify 0 into 0 10.575 * [taylor]: Taking taylor expansion of 0 in K 10.575 * [backup-simplify]: Simplify 0 into 0 10.575 * [backup-simplify]: Simplify 0 into 0 10.575 * [taylor]: Taking taylor expansion of 0 in K 10.575 * [backup-simplify]: Simplify 0 into 0 10.575 * [backup-simplify]: Simplify 0 into 0 10.575 * [backup-simplify]: Simplify 0 into 0 10.576 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.576 * [taylor]: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.576 * [taylor]: Taking taylor expansion of 1/12 in J 10.576 * [backup-simplify]: Simplify 1/12 into 1/12 10.576 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.576 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.576 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.576 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.576 * [taylor]: Taking taylor expansion of 1/2 in J 10.576 * [backup-simplify]: Simplify 1/2 into 1/2 10.576 * [taylor]: Taking taylor expansion of K in J 10.576 * [backup-simplify]: Simplify K into K 10.576 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.576 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.576 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.576 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.576 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.576 * [backup-simplify]: Simplify (- 0) into 0 10.577 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.577 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.577 * [taylor]: Taking taylor expansion of J in J 10.577 * [backup-simplify]: Simplify 0 into 0 10.577 * [backup-simplify]: Simplify 1 into 1 10.577 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.577 * [backup-simplify]: Simplify (* 1 1) into 1 10.577 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.577 * [backup-simplify]: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) 10.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.578 * [backup-simplify]: Simplify (+ 0) into 0 10.578 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.579 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.580 * [backup-simplify]: Simplify (- 0) into 0 10.580 * [backup-simplify]: Simplify (+ 0 0) into 0 10.580 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.581 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.581 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.582 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.583 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.583 * [backup-simplify]: Simplify (- 0) into 0 10.583 * [backup-simplify]: Simplify (+ 0 0) into 0 10.583 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 10.584 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.584 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 10.584 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 10.585 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 10.585 * [taylor]: Taking taylor expansion of 0 in K 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [taylor]: Taking taylor expansion of 0 in K 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [taylor]: Taking taylor expansion of 0 in K 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 1 into 1 10.585 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 10.585 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in (U J K) around 0 10.585 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in K 10.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 10.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 10.585 * [taylor]: Taking taylor expansion of 1/3 in K 10.585 * [backup-simplify]: Simplify 1/3 into 1/3 10.585 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 10.585 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 10.585 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 10.585 * [taylor]: Taking taylor expansion of 1/4 in K 10.586 * [backup-simplify]: Simplify 1/4 into 1/4 10.586 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 10.586 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.586 * [taylor]: Taking taylor expansion of J in K 10.586 * [backup-simplify]: Simplify J into J 10.586 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 10.586 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.586 * [taylor]: Taking taylor expansion of U in K 10.586 * [backup-simplify]: Simplify U into U 10.586 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.586 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.586 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.586 * [taylor]: Taking taylor expansion of 1/2 in K 10.586 * [backup-simplify]: Simplify 1/2 into 1/2 10.586 * [taylor]: Taking taylor expansion of K in K 10.586 * [backup-simplify]: Simplify 0 into 0 10.586 * [backup-simplify]: Simplify 1 into 1 10.586 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.586 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.586 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.586 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.586 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.586 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.586 * [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))) 10.587 * [taylor]: Taking taylor expansion of 1 in K 10.587 * [backup-simplify]: Simplify 1 into 1 10.587 * [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)))) 10.587 * [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) 10.587 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 10.587 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 10.588 * [backup-simplify]: Simplify (exp (* 1/3 (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) 1/3) 10.588 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in J 10.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 10.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 10.588 * [taylor]: Taking taylor expansion of 1/3 in J 10.588 * [backup-simplify]: Simplify 1/3 into 1/3 10.588 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 10.588 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 10.588 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.588 * [taylor]: Taking taylor expansion of 1/4 in J 10.588 * [backup-simplify]: Simplify 1/4 into 1/4 10.588 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 10.588 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.588 * [taylor]: Taking taylor expansion of J in J 10.588 * [backup-simplify]: Simplify 0 into 0 10.588 * [backup-simplify]: Simplify 1 into 1 10.588 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 10.588 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.588 * [taylor]: Taking taylor expansion of U in J 10.588 * [backup-simplify]: Simplify U into U 10.588 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.588 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.588 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.588 * [taylor]: Taking taylor expansion of 1/2 in J 10.588 * [backup-simplify]: Simplify 1/2 into 1/2 10.588 * [taylor]: Taking taylor expansion of K in J 10.588 * [backup-simplify]: Simplify K into K 10.588 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.588 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.588 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.588 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.588 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.588 * [backup-simplify]: Simplify (- 0) into 0 10.589 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.589 * [backup-simplify]: Simplify (* 1 1) into 1 10.589 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.589 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.589 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.589 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.589 * [taylor]: Taking taylor expansion of 1 in J 10.589 * [backup-simplify]: Simplify 1 into 1 10.589 * [backup-simplify]: Simplify (+ 0 1) into 1 10.590 * [backup-simplify]: Simplify (log 1) into 0 10.590 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.590 * [backup-simplify]: Simplify (+ 0 0) into 0 10.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.591 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.591 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.592 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.593 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.593 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.593 * [backup-simplify]: Simplify (exp 0) into 1 10.593 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 10.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 10.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 10.593 * [taylor]: Taking taylor expansion of 1/3 in U 10.593 * [backup-simplify]: Simplify 1/3 into 1/3 10.593 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.593 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.593 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.593 * [taylor]: Taking taylor expansion of 1/4 in U 10.594 * [backup-simplify]: Simplify 1/4 into 1/4 10.594 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.594 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.594 * [taylor]: Taking taylor expansion of J in U 10.594 * [backup-simplify]: Simplify J into J 10.594 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.594 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.594 * [taylor]: Taking taylor expansion of U in U 10.594 * [backup-simplify]: Simplify 0 into 0 10.594 * [backup-simplify]: Simplify 1 into 1 10.594 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.594 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.594 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.594 * [taylor]: Taking taylor expansion of 1/2 in U 10.594 * [backup-simplify]: Simplify 1/2 into 1/2 10.594 * [taylor]: Taking taylor expansion of K in U 10.594 * [backup-simplify]: Simplify K into K 10.594 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.594 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.594 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.594 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.594 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.594 * [backup-simplify]: Simplify (- 0) into 0 10.594 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.594 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.595 * [backup-simplify]: Simplify (* 1 1) into 1 10.595 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.595 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.595 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.595 * [taylor]: Taking taylor expansion of 1 in U 10.595 * [backup-simplify]: Simplify 1 into 1 10.595 * [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))) 10.595 * [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))) 10.595 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.596 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.596 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.596 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.596 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 10.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 10.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 10.596 * [taylor]: Taking taylor expansion of 1/3 in U 10.596 * [backup-simplify]: Simplify 1/3 into 1/3 10.596 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.596 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.596 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.596 * [taylor]: Taking taylor expansion of 1/4 in U 10.596 * [backup-simplify]: Simplify 1/4 into 1/4 10.596 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.596 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.596 * [taylor]: Taking taylor expansion of J in U 10.596 * [backup-simplify]: Simplify J into J 10.596 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.596 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.596 * [taylor]: Taking taylor expansion of U in U 10.596 * [backup-simplify]: Simplify 0 into 0 10.596 * [backup-simplify]: Simplify 1 into 1 10.596 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.596 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.596 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.596 * [taylor]: Taking taylor expansion of 1/2 in U 10.596 * [backup-simplify]: Simplify 1/2 into 1/2 10.596 * [taylor]: Taking taylor expansion of K in U 10.596 * [backup-simplify]: Simplify K into K 10.597 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.597 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.597 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.597 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.597 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.597 * [backup-simplify]: Simplify (- 0) into 0 10.597 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.597 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.597 * [backup-simplify]: Simplify (* 1 1) into 1 10.597 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.597 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.598 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.598 * [taylor]: Taking taylor expansion of 1 in U 10.598 * [backup-simplify]: Simplify 1 into 1 10.598 * [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))) 10.598 * [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))) 10.598 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.599 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.599 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.599 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 10.599 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.599 * [taylor]: Taking taylor expansion of 1/3 in J 10.599 * [backup-simplify]: Simplify 1/3 into 1/3 10.599 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.599 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.599 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.599 * [taylor]: Taking taylor expansion of 1/4 in J 10.599 * [backup-simplify]: Simplify 1/4 into 1/4 10.599 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.599 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.599 * [taylor]: Taking taylor expansion of J in J 10.599 * [backup-simplify]: Simplify 0 into 0 10.599 * [backup-simplify]: Simplify 1 into 1 10.599 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.599 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.599 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.599 * [taylor]: Taking taylor expansion of 1/2 in J 10.599 * [backup-simplify]: Simplify 1/2 into 1/2 10.599 * [taylor]: Taking taylor expansion of K in J 10.599 * [backup-simplify]: Simplify K into K 10.599 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.599 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.599 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.600 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.600 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.600 * [backup-simplify]: Simplify (- 0) into 0 10.600 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.600 * [backup-simplify]: Simplify (* 1 1) into 1 10.600 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.600 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.600 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.600 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.601 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.601 * [taylor]: Taking taylor expansion of 2 in J 10.601 * [backup-simplify]: Simplify 2 into 2 10.601 * [taylor]: Taking taylor expansion of (log U) in J 10.601 * [taylor]: Taking taylor expansion of U in J 10.601 * [backup-simplify]: Simplify U into U 10.601 * [backup-simplify]: Simplify (log U) into (log U) 10.601 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.601 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.601 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.601 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.602 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.602 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 10.602 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 10.602 * [taylor]: Taking taylor expansion of 1/3 in K 10.602 * [backup-simplify]: Simplify 1/3 into 1/3 10.602 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 10.602 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 10.602 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.602 * [taylor]: Taking taylor expansion of 2 in K 10.602 * [backup-simplify]: Simplify 2 into 2 10.602 * [taylor]: Taking taylor expansion of (log J) in K 10.602 * [taylor]: Taking taylor expansion of J in K 10.602 * [backup-simplify]: Simplify J into J 10.602 * [backup-simplify]: Simplify (log J) into (log J) 10.602 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 10.602 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 10.602 * [taylor]: Taking taylor expansion of 1/4 in K 10.602 * [backup-simplify]: Simplify 1/4 into 1/4 10.602 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.602 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.602 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.603 * [taylor]: Taking taylor expansion of 1/2 in K 10.603 * [backup-simplify]: Simplify 1/2 into 1/2 10.603 * [taylor]: Taking taylor expansion of K in K 10.603 * [backup-simplify]: Simplify 0 into 0 10.603 * [backup-simplify]: Simplify 1 into 1 10.603 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.603 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.603 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.603 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.604 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.604 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.604 * [taylor]: Taking taylor expansion of 2 in K 10.604 * [backup-simplify]: Simplify 2 into 2 10.604 * [taylor]: Taking taylor expansion of (log U) in K 10.604 * [taylor]: Taking taylor expansion of U in K 10.604 * [backup-simplify]: Simplify U into U 10.604 * [backup-simplify]: Simplify (log U) into (log U) 10.604 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.604 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.604 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.604 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.605 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.605 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.605 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.605 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.606 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.606 * [backup-simplify]: Simplify (+ 0) into 0 10.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.607 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.608 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.608 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.608 * [backup-simplify]: Simplify (- 0) into 0 10.609 * [backup-simplify]: Simplify (+ 0 0) into 0 10.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.611 * [backup-simplify]: 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 10.611 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.612 * [backup-simplify]: Simplify (+ 0 0) into 0 10.613 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 10.613 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.614 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.615 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.615 * [taylor]: Taking taylor expansion of 0 in J 10.615 * [backup-simplify]: Simplify 0 into 0 10.615 * [taylor]: Taking taylor expansion of 0 in K 10.615 * [backup-simplify]: Simplify 0 into 0 10.615 * [backup-simplify]: Simplify 0 into 0 10.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.616 * [backup-simplify]: Simplify (+ 0) into 0 10.617 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.618 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.619 * [backup-simplify]: Simplify (- 0) into 0 10.619 * [backup-simplify]: Simplify (+ 0 0) into 0 10.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.620 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.620 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.621 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.622 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.623 * [backup-simplify]: Simplify (- 0) into 0 10.623 * [backup-simplify]: Simplify (+ 0 0) into 0 10.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.625 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.625 * [taylor]: Taking taylor expansion of 0 in K 10.625 * [backup-simplify]: Simplify 0 into 0 10.625 * [backup-simplify]: Simplify 0 into 0 10.626 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.626 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.626 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.627 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.628 * [backup-simplify]: Simplify (+ 0 0) into 0 10.629 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.629 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.630 * [backup-simplify]: Simplify (- 0) into 0 10.630 * [backup-simplify]: Simplify (+ 0 0) into 0 10.631 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.632 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.632 * [backup-simplify]: Simplify 0 into 0 10.633 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.634 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.635 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.635 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.636 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.636 * [backup-simplify]: Simplify (- 0) into 0 10.637 * [backup-simplify]: Simplify (+ 0 0) into 0 10.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.640 * [backup-simplify]: 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 10.640 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.641 * [backup-simplify]: Simplify (+ 0 1) into 1 10.643 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 10.643 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.644 * [backup-simplify]: Simplify (+ (* 1/3 (* 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 (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 10.646 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 10.646 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 10.646 * [taylor]: Taking taylor expansion of 4/3 in J 10.646 * [backup-simplify]: Simplify 4/3 into 4/3 10.646 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 10.646 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 10.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 10.646 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.646 * [taylor]: Taking taylor expansion of 1/3 in J 10.646 * [backup-simplify]: Simplify 1/3 into 1/3 10.646 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.646 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.646 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.646 * [taylor]: Taking taylor expansion of 1/4 in J 10.646 * [backup-simplify]: Simplify 1/4 into 1/4 10.646 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.646 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.646 * [taylor]: Taking taylor expansion of J in J 10.646 * [backup-simplify]: Simplify 0 into 0 10.646 * [backup-simplify]: Simplify 1 into 1 10.646 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.646 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.646 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.646 * [taylor]: Taking taylor expansion of 1/2 in J 10.647 * [backup-simplify]: Simplify 1/2 into 1/2 10.647 * [taylor]: Taking taylor expansion of K in J 10.647 * [backup-simplify]: Simplify K into K 10.647 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.647 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.647 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.647 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.647 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.647 * [backup-simplify]: Simplify (- 0) into 0 10.647 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.648 * [backup-simplify]: Simplify (* 1 1) into 1 10.648 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.648 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.648 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.648 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.649 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.649 * [taylor]: Taking taylor expansion of 2 in J 10.649 * [backup-simplify]: Simplify 2 into 2 10.649 * [taylor]: Taking taylor expansion of (log U) in J 10.649 * [taylor]: Taking taylor expansion of U in J 10.649 * [backup-simplify]: Simplify U into U 10.649 * [backup-simplify]: Simplify (log U) into (log U) 10.650 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.650 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.650 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.650 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.650 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.651 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.651 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.651 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.651 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.651 * [taylor]: Taking taylor expansion of 1/2 in J 10.651 * [backup-simplify]: Simplify 1/2 into 1/2 10.651 * [taylor]: Taking taylor expansion of K in J 10.651 * [backup-simplify]: Simplify K into K 10.651 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.651 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.651 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.651 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.651 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.652 * [backup-simplify]: Simplify (- 0) into 0 10.652 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.652 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.652 * [taylor]: Taking taylor expansion of J in J 10.652 * [backup-simplify]: Simplify 0 into 0 10.652 * [backup-simplify]: Simplify 1 into 1 10.652 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.653 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 10.653 * [backup-simplify]: Simplify (* 1 1) into 1 10.653 * [backup-simplify]: Simplify (/ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 10.654 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.660 * [backup-simplify]: Simplify (+ 0) into 0 10.661 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.661 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.662 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.663 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.663 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.664 * [backup-simplify]: Simplify (- 0) into 0 10.664 * [backup-simplify]: Simplify (+ 0 0) into 0 10.664 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.665 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.665 * [backup-simplify]: Simplify (- 0) into 0 10.666 * [backup-simplify]: Simplify (+ 0 0) into 0 10.666 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.667 * [backup-simplify]: Simplify (+ 0) into 0 10.667 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.667 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.668 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.668 * [backup-simplify]: Simplify (- 0) into 0 10.668 * [backup-simplify]: Simplify (+ 0 0) into 0 10.668 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.669 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.669 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.670 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.671 * [backup-simplify]: Simplify (- 0) into 0 10.671 * [backup-simplify]: Simplify (+ 0 0) into 0 10.671 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.672 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.672 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.673 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.673 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.674 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.674 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.674 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.675 * [backup-simplify]: Simplify (- 0) into 0 10.675 * [backup-simplify]: Simplify (+ 0 0) into 0 10.675 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.675 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.676 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.677 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.678 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.679 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.679 * [backup-simplify]: Simplify (- 0) into 0 10.679 * [backup-simplify]: Simplify (+ 0 0) into 0 10.680 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.681 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.681 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.682 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 10.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.685 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 10.685 * [taylor]: Taking taylor expansion of 0 in K 10.685 * [backup-simplify]: Simplify 0 into 0 10.685 * [backup-simplify]: Simplify 0 into 0 10.685 * [taylor]: Taking taylor expansion of 0 in K 10.685 * [backup-simplify]: Simplify 0 into 0 10.685 * [backup-simplify]: Simplify 0 into 0 10.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.687 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.687 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.687 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.688 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.688 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.688 * [backup-simplify]: Simplify (- 0) into 0 10.688 * [backup-simplify]: Simplify (+ 0 0) into 0 10.689 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.689 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.690 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.691 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.692 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.692 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.692 * [backup-simplify]: Simplify (- 0) into 0 10.692 * [backup-simplify]: Simplify (+ 0 0) into 0 10.693 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.695 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.695 * [taylor]: Taking taylor expansion of 0 in K 10.695 * [backup-simplify]: Simplify 0 into 0 10.695 * [backup-simplify]: Simplify 0 into 0 10.695 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 10.696 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 10.696 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in (U J K) around 0 10.696 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in K 10.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 10.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 10.696 * [taylor]: Taking taylor expansion of 1/3 in K 10.696 * [backup-simplify]: Simplify 1/3 into 1/3 10.696 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 10.696 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 10.696 * [taylor]: Taking taylor expansion of 1 in K 10.696 * [backup-simplify]: Simplify 1 into 1 10.696 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 10.696 * [taylor]: Taking taylor expansion of 1/4 in K 10.696 * [backup-simplify]: Simplify 1/4 into 1/4 10.696 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 10.696 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.696 * [taylor]: Taking taylor expansion of J in K 10.696 * [backup-simplify]: Simplify J into J 10.697 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 10.697 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.697 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.697 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.697 * [taylor]: Taking taylor expansion of -1/2 in K 10.697 * [backup-simplify]: Simplify -1/2 into -1/2 10.697 * [taylor]: Taking taylor expansion of K in K 10.697 * [backup-simplify]: Simplify 0 into 0 10.697 * [backup-simplify]: Simplify 1 into 1 10.697 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.697 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.697 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.697 * [taylor]: Taking taylor expansion of U in K 10.697 * [backup-simplify]: Simplify U into U 10.698 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.698 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.698 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.698 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.698 * [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))) 10.699 * [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)))) 10.700 * [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))))) 10.700 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 10.700 * [backup-simplify]: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 10.701 * [backup-simplify]: Simplify (exp (* 1/3 (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))))) 1/3) 10.701 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in J 10.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 10.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 10.701 * [taylor]: Taking taylor expansion of 1/3 in J 10.701 * [backup-simplify]: Simplify 1/3 into 1/3 10.701 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 10.701 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 10.701 * [taylor]: Taking taylor expansion of 1 in J 10.701 * [backup-simplify]: Simplify 1 into 1 10.701 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 10.701 * [taylor]: Taking taylor expansion of 1/4 in J 10.701 * [backup-simplify]: Simplify 1/4 into 1/4 10.701 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 10.701 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.701 * [taylor]: Taking taylor expansion of J in J 10.701 * [backup-simplify]: Simplify 0 into 0 10.701 * [backup-simplify]: Simplify 1 into 1 10.701 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 10.701 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.701 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.701 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.701 * [taylor]: Taking taylor expansion of -1/2 in J 10.701 * [backup-simplify]: Simplify -1/2 into -1/2 10.701 * [taylor]: Taking taylor expansion of K in J 10.702 * [backup-simplify]: Simplify K into K 10.702 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.702 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.702 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.702 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.702 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.703 * [backup-simplify]: Simplify (- 0) into 0 10.703 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.703 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.703 * [taylor]: Taking taylor expansion of U in J 10.703 * [backup-simplify]: Simplify U into U 10.703 * [backup-simplify]: Simplify (* 1 1) into 1 10.703 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.703 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.703 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.704 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.704 * [backup-simplify]: Simplify (+ 1 0) into 1 10.705 * [backup-simplify]: Simplify (log 1) into 0 10.705 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.705 * [backup-simplify]: Simplify (+ 0 0) into 0 10.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.707 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.708 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.708 * [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)))) 10.710 * [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))) 10.711 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.711 * [backup-simplify]: Simplify (exp 0) into 1 10.711 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 10.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 10.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 10.711 * [taylor]: Taking taylor expansion of 1/3 in U 10.711 * [backup-simplify]: Simplify 1/3 into 1/3 10.711 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.711 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.711 * [taylor]: Taking taylor expansion of 1 in U 10.711 * [backup-simplify]: Simplify 1 into 1 10.711 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.711 * [taylor]: Taking taylor expansion of 1/4 in U 10.711 * [backup-simplify]: Simplify 1/4 into 1/4 10.711 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.711 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.711 * [taylor]: Taking taylor expansion of J in U 10.711 * [backup-simplify]: Simplify J into J 10.712 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.712 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.712 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.712 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.712 * [taylor]: Taking taylor expansion of -1/2 in U 10.712 * [backup-simplify]: Simplify -1/2 into -1/2 10.712 * [taylor]: Taking taylor expansion of K in U 10.712 * [backup-simplify]: Simplify K into K 10.712 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.712 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.712 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.712 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.712 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.712 * [backup-simplify]: Simplify (- 0) into 0 10.713 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.713 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.713 * [taylor]: Taking taylor expansion of U in U 10.713 * [backup-simplify]: Simplify 0 into 0 10.713 * [backup-simplify]: Simplify 1 into 1 10.713 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.713 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.713 * [backup-simplify]: Simplify (* 1 1) into 1 10.713 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.713 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.714 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.714 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.714 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.715 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.715 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.715 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.716 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 10.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 10.716 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 10.716 * [taylor]: Taking taylor expansion of 1/3 in U 10.716 * [backup-simplify]: Simplify 1/3 into 1/3 10.716 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.716 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.716 * [taylor]: Taking taylor expansion of 1 in U 10.716 * [backup-simplify]: Simplify 1 into 1 10.716 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.716 * [taylor]: Taking taylor expansion of 1/4 in U 10.716 * [backup-simplify]: Simplify 1/4 into 1/4 10.716 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.716 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.716 * [taylor]: Taking taylor expansion of J in U 10.716 * [backup-simplify]: Simplify J into J 10.716 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.716 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.716 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.716 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.716 * [taylor]: Taking taylor expansion of -1/2 in U 10.716 * [backup-simplify]: Simplify -1/2 into -1/2 10.716 * [taylor]: Taking taylor expansion of K in U 10.716 * [backup-simplify]: Simplify K into K 10.716 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.716 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.716 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.716 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.717 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.717 * [backup-simplify]: Simplify (- 0) into 0 10.717 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.717 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.717 * [taylor]: Taking taylor expansion of U in U 10.717 * [backup-simplify]: Simplify 0 into 0 10.717 * [backup-simplify]: Simplify 1 into 1 10.717 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.717 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.718 * [backup-simplify]: Simplify (* 1 1) into 1 10.718 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.718 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.718 * [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))) 10.719 * [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))) 10.719 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.719 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.720 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.720 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 10.720 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.720 * [taylor]: Taking taylor expansion of 1/3 in J 10.720 * [backup-simplify]: Simplify 1/3 into 1/3 10.720 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.720 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.720 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.720 * [taylor]: Taking taylor expansion of 1/4 in J 10.720 * [backup-simplify]: Simplify 1/4 into 1/4 10.721 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.721 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.721 * [taylor]: Taking taylor expansion of J in J 10.721 * [backup-simplify]: Simplify 0 into 0 10.721 * [backup-simplify]: Simplify 1 into 1 10.721 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.721 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.721 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.721 * [taylor]: Taking taylor expansion of -1/2 in J 10.721 * [backup-simplify]: Simplify -1/2 into -1/2 10.721 * [taylor]: Taking taylor expansion of K in J 10.721 * [backup-simplify]: Simplify K into K 10.721 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.721 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.721 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.721 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.721 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.722 * [backup-simplify]: Simplify (- 0) into 0 10.722 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.722 * [backup-simplify]: Simplify (* 1 1) into 1 10.722 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.722 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.723 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.723 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.723 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.723 * [taylor]: Taking taylor expansion of 2 in J 10.723 * [backup-simplify]: Simplify 2 into 2 10.723 * [taylor]: Taking taylor expansion of (log U) in J 10.723 * [taylor]: Taking taylor expansion of U in J 10.723 * [backup-simplify]: Simplify U into U 10.723 * [backup-simplify]: Simplify (log U) into (log U) 10.723 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.724 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.724 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.724 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.724 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.725 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 10.725 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 10.725 * [taylor]: Taking taylor expansion of 1/3 in K 10.725 * [backup-simplify]: Simplify 1/3 into 1/3 10.725 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 10.725 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 10.725 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.725 * [taylor]: Taking taylor expansion of 2 in K 10.725 * [backup-simplify]: Simplify 2 into 2 10.725 * [taylor]: Taking taylor expansion of (log J) in K 10.725 * [taylor]: Taking taylor expansion of J in K 10.725 * [backup-simplify]: Simplify J into J 10.725 * [backup-simplify]: Simplify (log J) into (log J) 10.725 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 10.725 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 10.725 * [taylor]: Taking taylor expansion of 1/4 in K 10.725 * [backup-simplify]: Simplify 1/4 into 1/4 10.725 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.725 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.725 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.725 * [taylor]: Taking taylor expansion of -1/2 in K 10.725 * [backup-simplify]: Simplify -1/2 into -1/2 10.725 * [taylor]: Taking taylor expansion of K in K 10.725 * [backup-simplify]: Simplify 0 into 0 10.725 * [backup-simplify]: Simplify 1 into 1 10.726 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.726 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.726 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.726 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.726 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.726 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.726 * [taylor]: Taking taylor expansion of 2 in K 10.726 * [backup-simplify]: Simplify 2 into 2 10.726 * [taylor]: Taking taylor expansion of (log U) in K 10.726 * [taylor]: Taking taylor expansion of U in K 10.726 * [backup-simplify]: Simplify U into U 10.727 * [backup-simplify]: Simplify (log U) into (log U) 10.727 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.727 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.727 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.727 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.727 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.728 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.728 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.728 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.728 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.729 * [backup-simplify]: Simplify (+ 0) into 0 10.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.730 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.731 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.731 * [backup-simplify]: Simplify (- 0) into 0 10.731 * [backup-simplify]: Simplify (+ 0 0) into 0 10.731 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.732 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 10.732 * [backup-simplify]: 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 10.732 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 10.732 * [backup-simplify]: Simplify (+ 0 0) into 0 10.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 10.733 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.734 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.734 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.734 * [taylor]: Taking taylor expansion of 0 in J 10.735 * [backup-simplify]: Simplify 0 into 0 10.735 * [taylor]: Taking taylor expansion of 0 in K 10.735 * [backup-simplify]: Simplify 0 into 0 10.735 * [backup-simplify]: Simplify 0 into 0 10.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.735 * [backup-simplify]: Simplify (+ 0) into 0 10.736 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.736 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.737 * [backup-simplify]: Simplify (- 0) into 0 10.737 * [backup-simplify]: Simplify (+ 0 0) into 0 10.737 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.737 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.738 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.738 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.738 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.739 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.739 * [backup-simplify]: Simplify (- 0) into 0 10.739 * [backup-simplify]: Simplify (+ 0 0) into 0 10.740 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.740 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.740 * [taylor]: Taking taylor expansion of 0 in K 10.740 * [backup-simplify]: Simplify 0 into 0 10.740 * [backup-simplify]: Simplify 0 into 0 10.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.741 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.741 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.741 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.742 * [backup-simplify]: Simplify (+ 0 0) into 0 10.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.743 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.743 * [backup-simplify]: Simplify (- 0) into 0 10.743 * [backup-simplify]: Simplify (+ 0 0) into 0 10.744 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.745 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.745 * [backup-simplify]: Simplify 0 into 0 10.745 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.746 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.747 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.747 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.747 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.748 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.748 * [backup-simplify]: Simplify (- 0) into 0 10.748 * [backup-simplify]: Simplify (+ 0 0) into 0 10.748 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.749 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.749 * [backup-simplify]: 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 10.750 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 10.750 * [backup-simplify]: Simplify (+ 1 0) into 1 10.751 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 10.752 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.752 * [backup-simplify]: Simplify (+ (* 1/3 (* 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 (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 10.753 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 10.753 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 10.753 * [taylor]: Taking taylor expansion of 4/3 in J 10.753 * [backup-simplify]: Simplify 4/3 into 4/3 10.753 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 10.753 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 10.753 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.753 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.753 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.753 * [taylor]: Taking taylor expansion of -1/2 in J 10.753 * [backup-simplify]: Simplify -1/2 into -1/2 10.753 * [taylor]: Taking taylor expansion of K in J 10.753 * [backup-simplify]: Simplify K into K 10.753 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.753 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.753 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.753 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.753 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.754 * [backup-simplify]: Simplify (- 0) into 0 10.754 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 10.754 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.754 * [taylor]: Taking taylor expansion of 1/3 in J 10.754 * [backup-simplify]: Simplify 1/3 into 1/3 10.754 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.754 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.754 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.754 * [taylor]: Taking taylor expansion of 1/4 in J 10.754 * [backup-simplify]: Simplify 1/4 into 1/4 10.754 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.754 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.754 * [taylor]: Taking taylor expansion of J in J 10.754 * [backup-simplify]: Simplify 0 into 0 10.754 * [backup-simplify]: Simplify 1 into 1 10.754 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.754 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.754 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.754 * [taylor]: Taking taylor expansion of -1/2 in J 10.754 * [backup-simplify]: Simplify -1/2 into -1/2 10.754 * [taylor]: Taking taylor expansion of K in J 10.754 * [backup-simplify]: Simplify K into K 10.754 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.754 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.754 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.754 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.754 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.755 * [backup-simplify]: Simplify (- 0) into 0 10.755 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.755 * [backup-simplify]: Simplify (* 1 1) into 1 10.755 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.755 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.755 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.755 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.755 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.755 * [taylor]: Taking taylor expansion of 2 in J 10.755 * [backup-simplify]: Simplify 2 into 2 10.755 * [taylor]: Taking taylor expansion of (log U) in J 10.755 * [taylor]: Taking taylor expansion of U in J 10.755 * [backup-simplify]: Simplify U into U 10.755 * [backup-simplify]: Simplify (log U) into (log U) 10.756 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.756 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.756 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.756 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.756 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.756 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.756 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.756 * [taylor]: Taking taylor expansion of J in J 10.756 * [backup-simplify]: Simplify 0 into 0 10.756 * [backup-simplify]: Simplify 1 into 1 10.756 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.757 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 10.757 * [backup-simplify]: Simplify (* 1 1) into 1 10.757 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 10.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.758 * [backup-simplify]: Simplify (+ 0) into 0 10.759 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.759 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.761 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.761 * [backup-simplify]: Simplify (- 0) into 0 10.761 * [backup-simplify]: Simplify (+ 0 0) into 0 10.761 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.762 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.762 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.765 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.765 * [backup-simplify]: Simplify (- 0) into 0 10.765 * [backup-simplify]: Simplify (+ 0 0) into 0 10.766 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.768 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.769 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.769 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.770 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.770 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.771 * [backup-simplify]: Simplify (- 0) into 0 10.771 * [backup-simplify]: Simplify (+ 0 0) into 0 10.772 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.772 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.773 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.780 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 10.782 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.783 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.784 * [backup-simplify]: Simplify (- 0) into 0 10.784 * [backup-simplify]: Simplify (+ 0 0) into 0 10.785 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.787 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.787 * [backup-simplify]: Simplify (+ 0) into 0 10.788 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.788 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.790 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.790 * [backup-simplify]: Simplify (- 0) into 0 10.790 * [backup-simplify]: Simplify (+ 0 0) into 0 10.791 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.792 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.793 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.793 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.794 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.794 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.795 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.795 * [backup-simplify]: Simplify (- 0) into 0 10.796 * [backup-simplify]: Simplify (+ 0 0) into 0 10.796 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.797 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 10.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.799 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 10.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 10.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.804 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 10.804 * [taylor]: Taking taylor expansion of 0 in K 10.804 * [backup-simplify]: Simplify 0 into 0 10.804 * [backup-simplify]: Simplify 0 into 0 10.804 * [taylor]: Taking taylor expansion of 0 in K 10.804 * [backup-simplify]: Simplify 0 into 0 10.804 * [backup-simplify]: Simplify 0 into 0 10.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.806 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.807 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.807 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.808 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.808 * [backup-simplify]: Simplify (- 0) into 0 10.809 * [backup-simplify]: Simplify (+ 0 0) into 0 10.809 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.810 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.811 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.813 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 10.814 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.816 * [backup-simplify]: Simplify (- 0) into 0 10.816 * [backup-simplify]: Simplify (+ 0 0) into 0 10.817 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.819 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.819 * [taylor]: Taking taylor expansion of 0 in K 10.819 * [backup-simplify]: Simplify 0 into 0 10.819 * [backup-simplify]: Simplify 0 into 0 10.819 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 10.819 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 10.820 * [backup-simplify]: Simplify (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) 10.820 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in (U J K) around 0 10.820 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in K 10.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 10.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 10.820 * [taylor]: Taking taylor expansion of 1/3 in K 10.820 * [backup-simplify]: Simplify 1/3 into 1/3 10.820 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 10.820 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 10.820 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 10.820 * [taylor]: Taking taylor expansion of 1/4 in K 10.820 * [backup-simplify]: Simplify 1/4 into 1/4 10.820 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.820 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.821 * [taylor]: Taking taylor expansion of U in K 10.821 * [backup-simplify]: Simplify U into U 10.821 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.821 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.821 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.821 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.821 * [taylor]: Taking taylor expansion of 1/2 in K 10.821 * [backup-simplify]: Simplify 1/2 into 1/2 10.821 * [taylor]: Taking taylor expansion of K in K 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 1 into 1 10.821 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.822 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.822 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.822 * [taylor]: Taking taylor expansion of J in K 10.822 * [backup-simplify]: Simplify J into J 10.822 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.823 * [backup-simplify]: Simplify (* 1 1) into 1 10.823 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.823 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.823 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 10.823 * [taylor]: Taking taylor expansion of 1 in K 10.823 * [backup-simplify]: Simplify 1 into 1 10.823 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.823 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.823 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.824 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 10.824 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/3) 10.824 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in J 10.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 10.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 10.824 * [taylor]: Taking taylor expansion of 1/3 in J 10.824 * [backup-simplify]: Simplify 1/3 into 1/3 10.824 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 10.824 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 10.824 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 10.824 * [taylor]: Taking taylor expansion of 1/4 in J 10.824 * [backup-simplify]: Simplify 1/4 into 1/4 10.824 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.824 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.824 * [taylor]: Taking taylor expansion of U in J 10.824 * [backup-simplify]: Simplify U into U 10.824 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.824 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.824 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.824 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.824 * [taylor]: Taking taylor expansion of 1/2 in J 10.825 * [backup-simplify]: Simplify 1/2 into 1/2 10.825 * [taylor]: Taking taylor expansion of K in J 10.825 * [backup-simplify]: Simplify K into K 10.825 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.825 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.825 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.825 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.825 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.825 * [backup-simplify]: Simplify (- 0) into 0 10.825 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.825 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.825 * [taylor]: Taking taylor expansion of J in J 10.826 * [backup-simplify]: Simplify 0 into 0 10.826 * [backup-simplify]: Simplify 1 into 1 10.826 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.826 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.826 * [backup-simplify]: Simplify (* 1 1) into 1 10.826 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.826 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 10.826 * [taylor]: Taking taylor expansion of 1 in J 10.826 * [backup-simplify]: Simplify 1 into 1 10.827 * [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))) 10.827 * [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))) 10.827 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 10.828 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 10.828 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 10.828 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 10.828 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 10.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 10.829 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 10.829 * [taylor]: Taking taylor expansion of 1/3 in U 10.829 * [backup-simplify]: Simplify 1/3 into 1/3 10.829 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.829 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.829 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.829 * [taylor]: Taking taylor expansion of 1/4 in U 10.829 * [backup-simplify]: Simplify 1/4 into 1/4 10.829 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.829 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.829 * [taylor]: Taking taylor expansion of U in U 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify 1 into 1 10.829 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.829 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.829 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.829 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.829 * [taylor]: Taking taylor expansion of 1/2 in U 10.829 * [backup-simplify]: Simplify 1/2 into 1/2 10.829 * [taylor]: Taking taylor expansion of K in U 10.829 * [backup-simplify]: Simplify K into K 10.829 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.829 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.829 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.829 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.829 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.830 * [backup-simplify]: Simplify (- 0) into 0 10.830 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.830 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.830 * [taylor]: Taking taylor expansion of J in U 10.830 * [backup-simplify]: Simplify J into J 10.830 * [backup-simplify]: Simplify (* 1 1) into 1 10.830 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.830 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.830 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.830 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.830 * [taylor]: Taking taylor expansion of 1 in U 10.830 * [backup-simplify]: Simplify 1 into 1 10.831 * [backup-simplify]: Simplify (+ 0 1) into 1 10.831 * [backup-simplify]: Simplify (log 1) into 0 10.831 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.831 * [backup-simplify]: Simplify (+ 0 0) into 0 10.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.833 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.833 * [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))) 10.833 * [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)))) 10.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.835 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.835 * [backup-simplify]: Simplify (exp 0) into 1 10.835 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 10.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 10.835 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 10.835 * [taylor]: Taking taylor expansion of 1/3 in U 10.835 * [backup-simplify]: Simplify 1/3 into 1/3 10.835 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.835 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.835 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.835 * [taylor]: Taking taylor expansion of 1/4 in U 10.835 * [backup-simplify]: Simplify 1/4 into 1/4 10.835 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.835 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.835 * [taylor]: Taking taylor expansion of U in U 10.835 * [backup-simplify]: Simplify 0 into 0 10.835 * [backup-simplify]: Simplify 1 into 1 10.835 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.835 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.835 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.835 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.835 * [taylor]: Taking taylor expansion of 1/2 in U 10.835 * [backup-simplify]: Simplify 1/2 into 1/2 10.835 * [taylor]: Taking taylor expansion of K in U 10.835 * [backup-simplify]: Simplify K into K 10.835 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.835 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.835 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.835 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.835 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.835 * [backup-simplify]: Simplify (- 0) into 0 10.835 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.836 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.836 * [taylor]: Taking taylor expansion of J in U 10.836 * [backup-simplify]: Simplify J into J 10.836 * [backup-simplify]: Simplify (* 1 1) into 1 10.836 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.836 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.836 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.836 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.836 * [taylor]: Taking taylor expansion of 1 in U 10.836 * [backup-simplify]: Simplify 1 into 1 10.836 * [backup-simplify]: Simplify (+ 0 1) into 1 10.837 * [backup-simplify]: Simplify (log 1) into 0 10.837 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.837 * [backup-simplify]: Simplify (+ 0 0) into 0 10.838 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.838 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.838 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.839 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.840 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.840 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.840 * [backup-simplify]: Simplify (exp 0) into 1 10.840 * [taylor]: Taking taylor expansion of 1 in J 10.840 * [backup-simplify]: Simplify 1 into 1 10.840 * [taylor]: Taking taylor expansion of 1 in K 10.840 * [backup-simplify]: Simplify 1 into 1 10.840 * [backup-simplify]: Simplify 1 into 1 10.841 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 10.841 * [taylor]: Taking taylor expansion of 0 in J 10.841 * [backup-simplify]: Simplify 0 into 0 10.841 * [taylor]: Taking taylor expansion of 0 in K 10.841 * [backup-simplify]: Simplify 0 into 0 10.841 * [backup-simplify]: Simplify 0 into 0 10.841 * [taylor]: Taking taylor expansion of 0 in K 10.841 * [backup-simplify]: Simplify 0 into 0 10.841 * [backup-simplify]: Simplify 0 into 0 10.841 * [backup-simplify]: Simplify 0 into 0 10.842 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.842 * [taylor]: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.842 * [taylor]: Taking taylor expansion of 1/12 in J 10.842 * [backup-simplify]: Simplify 1/12 into 1/12 10.842 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.842 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.842 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.842 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.842 * [taylor]: Taking taylor expansion of 1/2 in J 10.842 * [backup-simplify]: Simplify 1/2 into 1/2 10.842 * [taylor]: Taking taylor expansion of K in J 10.842 * [backup-simplify]: Simplify K into K 10.842 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.842 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.842 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.842 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.842 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.843 * [backup-simplify]: Simplify (- 0) into 0 10.843 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.843 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.843 * [taylor]: Taking taylor expansion of J in J 10.843 * [backup-simplify]: Simplify 0 into 0 10.843 * [backup-simplify]: Simplify 1 into 1 10.843 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.843 * [backup-simplify]: Simplify (* 1 1) into 1 10.843 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.843 * [backup-simplify]: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) 10.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.844 * [backup-simplify]: Simplify (+ 0) into 0 10.844 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.845 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.846 * [backup-simplify]: Simplify (- 0) into 0 10.846 * [backup-simplify]: Simplify (+ 0 0) into 0 10.846 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.847 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.847 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.848 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.848 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.849 * [backup-simplify]: Simplify (- 0) into 0 10.849 * [backup-simplify]: Simplify (+ 0 0) into 0 10.849 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 10.850 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.850 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 10.850 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 10.851 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 10.851 * [taylor]: Taking taylor expansion of 0 in K 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [taylor]: Taking taylor expansion of 0 in K 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [taylor]: Taking taylor expansion of 0 in K 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [backup-simplify]: Simplify 1 into 1 10.851 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 10.851 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in (U J K) around 0 10.851 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in K 10.851 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 10.851 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 10.851 * [taylor]: Taking taylor expansion of 1/3 in K 10.851 * [backup-simplify]: Simplify 1/3 into 1/3 10.851 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 10.851 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 10.851 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 10.851 * [taylor]: Taking taylor expansion of 1/4 in K 10.851 * [backup-simplify]: Simplify 1/4 into 1/4 10.851 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 10.852 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.852 * [taylor]: Taking taylor expansion of J in K 10.852 * [backup-simplify]: Simplify J into J 10.852 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 10.852 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.852 * [taylor]: Taking taylor expansion of U in K 10.852 * [backup-simplify]: Simplify U into U 10.852 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.852 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.852 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.852 * [taylor]: Taking taylor expansion of 1/2 in K 10.852 * [backup-simplify]: Simplify 1/2 into 1/2 10.852 * [taylor]: Taking taylor expansion of K in K 10.852 * [backup-simplify]: Simplify 0 into 0 10.852 * [backup-simplify]: Simplify 1 into 1 10.852 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.852 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.852 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.852 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.852 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.852 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.853 * [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))) 10.853 * [taylor]: Taking taylor expansion of 1 in K 10.853 * [backup-simplify]: Simplify 1 into 1 10.853 * [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)))) 10.853 * [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) 10.853 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 10.853 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 10.854 * [backup-simplify]: Simplify (exp (* 1/3 (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) 1/3) 10.854 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in J 10.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 10.854 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 10.854 * [taylor]: Taking taylor expansion of 1/3 in J 10.854 * [backup-simplify]: Simplify 1/3 into 1/3 10.854 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 10.854 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 10.854 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.854 * [taylor]: Taking taylor expansion of 1/4 in J 10.854 * [backup-simplify]: Simplify 1/4 into 1/4 10.854 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 10.854 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.854 * [taylor]: Taking taylor expansion of J in J 10.854 * [backup-simplify]: Simplify 0 into 0 10.854 * [backup-simplify]: Simplify 1 into 1 10.854 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 10.854 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.854 * [taylor]: Taking taylor expansion of U in J 10.854 * [backup-simplify]: Simplify U into U 10.854 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.854 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.854 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.854 * [taylor]: Taking taylor expansion of 1/2 in J 10.854 * [backup-simplify]: Simplify 1/2 into 1/2 10.854 * [taylor]: Taking taylor expansion of K in J 10.854 * [backup-simplify]: Simplify K into K 10.854 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.854 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.854 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.854 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.854 * [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 (* 1 1) into 1 10.855 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.855 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.855 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.855 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.855 * [taylor]: Taking taylor expansion of 1 in J 10.855 * [backup-simplify]: Simplify 1 into 1 10.856 * [backup-simplify]: Simplify (+ 0 1) into 1 10.856 * [backup-simplify]: Simplify (log 1) into 0 10.856 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.856 * [backup-simplify]: Simplify (+ 0 0) into 0 10.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.858 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.858 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.858 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.860 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.861 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.861 * [backup-simplify]: Simplify (exp 0) into 1 10.861 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 10.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 10.861 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 10.861 * [taylor]: Taking taylor expansion of 1/3 in U 10.861 * [backup-simplify]: Simplify 1/3 into 1/3 10.861 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.861 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.861 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.861 * [taylor]: Taking taylor expansion of 1/4 in U 10.861 * [backup-simplify]: Simplify 1/4 into 1/4 10.861 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.861 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.861 * [taylor]: Taking taylor expansion of J in U 10.861 * [backup-simplify]: Simplify J into J 10.861 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.861 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.862 * [taylor]: Taking taylor expansion of U in U 10.862 * [backup-simplify]: Simplify 0 into 0 10.862 * [backup-simplify]: Simplify 1 into 1 10.862 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.862 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.862 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.862 * [taylor]: Taking taylor expansion of 1/2 in U 10.862 * [backup-simplify]: Simplify 1/2 into 1/2 10.862 * [taylor]: Taking taylor expansion of K in U 10.862 * [backup-simplify]: Simplify K into K 10.862 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.862 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.862 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.862 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.862 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.863 * [backup-simplify]: Simplify (- 0) into 0 10.863 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.863 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.863 * [backup-simplify]: Simplify (* 1 1) into 1 10.863 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.863 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.864 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.864 * [taylor]: Taking taylor expansion of 1 in U 10.864 * [backup-simplify]: Simplify 1 into 1 10.864 * [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))) 10.864 * [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))) 10.864 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.865 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.865 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.866 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.866 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 10.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 10.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 10.866 * [taylor]: Taking taylor expansion of 1/3 in U 10.866 * [backup-simplify]: Simplify 1/3 into 1/3 10.866 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.866 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.866 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.866 * [taylor]: Taking taylor expansion of 1/4 in U 10.866 * [backup-simplify]: Simplify 1/4 into 1/4 10.866 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.866 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.866 * [taylor]: Taking taylor expansion of J in U 10.866 * [backup-simplify]: Simplify J into J 10.866 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.866 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.866 * [taylor]: Taking taylor expansion of U in U 10.866 * [backup-simplify]: Simplify 0 into 0 10.866 * [backup-simplify]: Simplify 1 into 1 10.866 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.866 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.866 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.866 * [taylor]: Taking taylor expansion of 1/2 in U 10.866 * [backup-simplify]: Simplify 1/2 into 1/2 10.866 * [taylor]: Taking taylor expansion of K in U 10.866 * [backup-simplify]: Simplify K into K 10.866 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.866 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.867 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.867 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.867 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.867 * [backup-simplify]: Simplify (- 0) into 0 10.867 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.867 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.868 * [backup-simplify]: Simplify (* 1 1) into 1 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 (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.868 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.868 * [taylor]: Taking taylor expansion of 1 in U 10.868 * [backup-simplify]: Simplify 1 into 1 10.868 * [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))) 10.869 * [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))) 10.869 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.870 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.870 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.870 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.870 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 10.870 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.870 * [taylor]: Taking taylor expansion of 1/3 in J 10.870 * [backup-simplify]: Simplify 1/3 into 1/3 10.870 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.870 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.871 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.871 * [taylor]: Taking taylor expansion of 1/4 in J 10.871 * [backup-simplify]: Simplify 1/4 into 1/4 10.871 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.871 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.871 * [taylor]: Taking taylor expansion of J in J 10.871 * [backup-simplify]: Simplify 0 into 0 10.871 * [backup-simplify]: Simplify 1 into 1 10.871 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.871 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.871 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.871 * [taylor]: Taking taylor expansion of 1/2 in J 10.871 * [backup-simplify]: Simplify 1/2 into 1/2 10.871 * [taylor]: Taking taylor expansion of K in J 10.871 * [backup-simplify]: Simplify K into K 10.871 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.871 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.871 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.871 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.871 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.872 * [backup-simplify]: Simplify (- 0) into 0 10.872 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.872 * [backup-simplify]: Simplify (* 1 1) into 1 10.872 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.873 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.873 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.873 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.873 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.873 * [taylor]: Taking taylor expansion of 2 in J 10.873 * [backup-simplify]: Simplify 2 into 2 10.873 * [taylor]: Taking taylor expansion of (log U) in J 10.873 * [taylor]: Taking taylor expansion of U in J 10.873 * [backup-simplify]: Simplify U into U 10.873 * [backup-simplify]: Simplify (log U) into (log U) 10.874 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.874 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.874 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.874 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.874 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.875 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 10.875 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 10.875 * [taylor]: Taking taylor expansion of 1/3 in K 10.875 * [backup-simplify]: Simplify 1/3 into 1/3 10.875 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 10.875 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 10.875 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.875 * [taylor]: Taking taylor expansion of 2 in K 10.875 * [backup-simplify]: Simplify 2 into 2 10.875 * [taylor]: Taking taylor expansion of (log J) in K 10.875 * [taylor]: Taking taylor expansion of J in K 10.875 * [backup-simplify]: Simplify J into J 10.875 * [backup-simplify]: Simplify (log J) into (log J) 10.875 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 10.875 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 10.875 * [taylor]: Taking taylor expansion of 1/4 in K 10.875 * [backup-simplify]: Simplify 1/4 into 1/4 10.875 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.875 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.875 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.875 * [taylor]: Taking taylor expansion of 1/2 in K 10.875 * [backup-simplify]: Simplify 1/2 into 1/2 10.875 * [taylor]: Taking taylor expansion of K in K 10.875 * [backup-simplify]: Simplify 0 into 0 10.875 * [backup-simplify]: Simplify 1 into 1 10.876 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.876 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.876 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.876 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.876 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.876 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.877 * [taylor]: Taking taylor expansion of 2 in K 10.877 * [backup-simplify]: Simplify 2 into 2 10.877 * [taylor]: Taking taylor expansion of (log U) in K 10.877 * [taylor]: Taking taylor expansion of U in K 10.877 * [backup-simplify]: Simplify U into U 10.877 * [backup-simplify]: Simplify (log U) into (log U) 10.877 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.877 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.877 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.877 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.877 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.878 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.878 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.878 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.879 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.879 * [backup-simplify]: Simplify (+ 0) into 0 10.880 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.880 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.882 * [backup-simplify]: Simplify (- 0) into 0 10.882 * [backup-simplify]: Simplify (+ 0 0) into 0 10.882 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.884 * [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))))) into 0 10.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.885 * [backup-simplify]: Simplify (+ 0 0) into 0 10.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 10.887 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.888 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.889 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.889 * [taylor]: Taking taylor expansion of 0 in J 10.889 * [backup-simplify]: Simplify 0 into 0 10.889 * [taylor]: Taking taylor expansion of 0 in K 10.889 * [backup-simplify]: Simplify 0 into 0 10.889 * [backup-simplify]: Simplify 0 into 0 10.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.890 * [backup-simplify]: Simplify (+ 0) into 0 10.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.891 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.892 * [backup-simplify]: Simplify (- 0) into 0 10.893 * [backup-simplify]: Simplify (+ 0 0) into 0 10.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.893 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.896 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.896 * [backup-simplify]: Simplify (- 0) into 0 10.897 * [backup-simplify]: Simplify (+ 0 0) into 0 10.897 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.898 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.898 * [taylor]: Taking taylor expansion of 0 in K 10.898 * [backup-simplify]: Simplify 0 into 0 10.898 * [backup-simplify]: Simplify 0 into 0 10.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.900 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.900 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.900 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.902 * [backup-simplify]: Simplify (+ 0 0) into 0 10.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.903 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.903 * [backup-simplify]: Simplify (- 0) into 0 10.904 * [backup-simplify]: Simplify (+ 0 0) into 0 10.904 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.905 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.905 * [backup-simplify]: Simplify 0 into 0 10.906 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.907 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.907 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.908 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.908 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.909 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.910 * [backup-simplify]: Simplify (- 0) into 0 10.910 * [backup-simplify]: Simplify (+ 0 0) into 0 10.911 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.913 * [backup-simplify]: 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 10.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.920 * [backup-simplify]: Simplify (+ 0 1) into 1 10.922 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 10.922 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.923 * [backup-simplify]: Simplify (+ (* 1/3 (* 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 (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 10.925 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 10.925 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 10.925 * [taylor]: Taking taylor expansion of 4/3 in J 10.925 * [backup-simplify]: Simplify 4/3 into 4/3 10.925 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 10.925 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 10.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 10.925 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.925 * [taylor]: Taking taylor expansion of 1/3 in J 10.925 * [backup-simplify]: Simplify 1/3 into 1/3 10.925 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.925 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.925 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.925 * [taylor]: Taking taylor expansion of 1/4 in J 10.925 * [backup-simplify]: Simplify 1/4 into 1/4 10.925 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.926 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.926 * [taylor]: Taking taylor expansion of J in J 10.926 * [backup-simplify]: Simplify 0 into 0 10.926 * [backup-simplify]: Simplify 1 into 1 10.926 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.926 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.926 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.926 * [taylor]: Taking taylor expansion of 1/2 in J 10.926 * [backup-simplify]: Simplify 1/2 into 1/2 10.926 * [taylor]: Taking taylor expansion of K in J 10.926 * [backup-simplify]: Simplify K into K 10.926 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.926 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.926 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.926 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.926 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.927 * [backup-simplify]: Simplify (- 0) into 0 10.927 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.927 * [backup-simplify]: Simplify (* 1 1) into 1 10.927 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.927 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.927 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.928 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.928 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.928 * [taylor]: Taking taylor expansion of 2 in J 10.928 * [backup-simplify]: Simplify 2 into 2 10.928 * [taylor]: Taking taylor expansion of (log U) in J 10.928 * [taylor]: Taking taylor expansion of U in J 10.928 * [backup-simplify]: Simplify U into U 10.928 * [backup-simplify]: Simplify (log U) into (log U) 10.928 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.928 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.929 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.929 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.929 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.929 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.930 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.930 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.930 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.930 * [taylor]: Taking taylor expansion of 1/2 in J 10.930 * [backup-simplify]: Simplify 1/2 into 1/2 10.930 * [taylor]: Taking taylor expansion of K in J 10.930 * [backup-simplify]: Simplify K into K 10.930 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.930 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.930 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.930 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.930 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.931 * [backup-simplify]: Simplify (- 0) into 0 10.931 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 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 10.931 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.931 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 10.932 * [backup-simplify]: Simplify (* 1 1) into 1 10.932 * [backup-simplify]: Simplify (/ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 10.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.933 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.934 * [backup-simplify]: Simplify (+ 0) into 0 10.935 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.935 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.936 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.936 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.937 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.937 * [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 1)) into 0 10.939 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.939 * [backup-simplify]: Simplify (- 0) into 0 10.939 * [backup-simplify]: Simplify (+ 0 0) into 0 10.940 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.941 * [backup-simplify]: Simplify (+ 0) into 0 10.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.942 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.944 * [backup-simplify]: Simplify (- 0) into 0 10.944 * [backup-simplify]: Simplify (+ 0 0) into 0 10.944 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.944 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.945 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.947 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.948 * [backup-simplify]: Simplify (- 0) into 0 10.948 * [backup-simplify]: Simplify (+ 0 0) into 0 10.949 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.950 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.950 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.953 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.954 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.954 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.955 * [backup-simplify]: Simplify (- 0) into 0 10.955 * [backup-simplify]: Simplify (+ 0 0) into 0 10.956 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.956 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.959 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.960 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.962 * [backup-simplify]: Simplify (- 0) into 0 10.962 * [backup-simplify]: Simplify (+ 0 0) into 0 10.963 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.965 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.966 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.967 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 10.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.971 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 10.971 * [taylor]: Taking taylor expansion of 0 in K 10.971 * [backup-simplify]: Simplify 0 into 0 10.971 * [backup-simplify]: Simplify 0 into 0 10.971 * [taylor]: Taking taylor expansion of 0 in K 10.971 * [backup-simplify]: Simplify 0 into 0 10.971 * [backup-simplify]: Simplify 0 into 0 10.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.972 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.973 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.973 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.973 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.974 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.974 * [backup-simplify]: Simplify (- 0) into 0 10.974 * [backup-simplify]: Simplify (+ 0 0) into 0 10.975 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.975 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.977 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.978 * [backup-simplify]: Simplify (- 0) into 0 10.978 * [backup-simplify]: Simplify (+ 0 0) into 0 10.979 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.980 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.980 * [taylor]: Taking taylor expansion of 0 in K 10.980 * [backup-simplify]: Simplify 0 into 0 10.980 * [backup-simplify]: Simplify 0 into 0 10.980 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 10.981 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 10.981 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in (U J K) around 0 10.981 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in K 10.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 10.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 10.981 * [taylor]: Taking taylor expansion of 1/3 in K 10.981 * [backup-simplify]: Simplify 1/3 into 1/3 10.981 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 10.981 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 10.981 * [taylor]: Taking taylor expansion of 1 in K 10.981 * [backup-simplify]: Simplify 1 into 1 10.981 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 10.981 * [taylor]: Taking taylor expansion of 1/4 in K 10.981 * [backup-simplify]: Simplify 1/4 into 1/4 10.981 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 10.981 * [taylor]: Taking taylor expansion of (pow J 2) 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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 10.981 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 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 10.982 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.982 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.982 * [taylor]: Taking taylor expansion of U in K 10.982 * [backup-simplify]: Simplify U into U 10.982 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.982 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.982 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.982 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.982 * [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))) 10.982 * [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)))) 10.982 * [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))))) 10.982 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 10.983 * [backup-simplify]: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 10.983 * [backup-simplify]: Simplify (exp (* 1/3 (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))))) 1/3) 10.983 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in J 10.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 10.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 10.983 * [taylor]: Taking taylor expansion of 1/3 in J 10.983 * [backup-simplify]: Simplify 1/3 into 1/3 10.983 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 10.983 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 10.983 * [taylor]: Taking taylor expansion of 1 in J 10.983 * [backup-simplify]: Simplify 1 into 1 10.983 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 10.983 * [taylor]: Taking taylor expansion of 1/4 in J 10.983 * [backup-simplify]: Simplify 1/4 into 1/4 10.983 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 10.983 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.983 * [taylor]: Taking taylor expansion of J in J 10.983 * [backup-simplify]: Simplify 0 into 0 10.983 * [backup-simplify]: Simplify 1 into 1 10.983 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 10.983 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.983 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.983 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.983 * [taylor]: Taking taylor expansion of -1/2 in J 10.983 * [backup-simplify]: Simplify -1/2 into -1/2 10.983 * [taylor]: Taking taylor expansion of K in J 10.983 * [backup-simplify]: Simplify K into K 10.983 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.983 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.984 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.984 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.984 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.984 * [backup-simplify]: Simplify (- 0) into 0 10.984 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.984 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.984 * [taylor]: Taking taylor expansion of U in J 10.984 * [backup-simplify]: Simplify U into U 10.984 * [backup-simplify]: Simplify (* 1 1) into 1 10.984 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.984 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.984 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.985 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.985 * [backup-simplify]: Simplify (+ 1 0) into 1 10.985 * [backup-simplify]: Simplify (log 1) into 0 10.985 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.986 * [backup-simplify]: Simplify (+ 0 0) into 0 10.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.987 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.987 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.987 * [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)))) 10.988 * [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))) 10.989 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.989 * [backup-simplify]: Simplify (exp 0) into 1 10.989 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 10.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 10.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 10.989 * [taylor]: Taking taylor expansion of 1/3 in U 10.989 * [backup-simplify]: Simplify 1/3 into 1/3 10.989 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.989 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.989 * [taylor]: Taking taylor expansion of 1 in U 10.989 * [backup-simplify]: Simplify 1 into 1 10.989 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.989 * [taylor]: Taking taylor expansion of 1/4 in U 10.989 * [backup-simplify]: Simplify 1/4 into 1/4 10.989 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.989 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.989 * [taylor]: Taking taylor expansion of J in U 10.989 * [backup-simplify]: Simplify J into J 10.989 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.989 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.989 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.989 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.989 * [taylor]: Taking taylor expansion of -1/2 in U 10.989 * [backup-simplify]: Simplify -1/2 into -1/2 10.989 * [taylor]: Taking taylor expansion of K in U 10.989 * [backup-simplify]: Simplify K into K 10.989 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.989 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.989 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.989 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.989 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.990 * [backup-simplify]: Simplify (- 0) into 0 10.990 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.990 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.990 * [taylor]: Taking taylor expansion of U in U 10.990 * [backup-simplify]: Simplify 0 into 0 10.990 * [backup-simplify]: Simplify 1 into 1 10.990 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.990 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.990 * [backup-simplify]: Simplify (* 1 1) into 1 10.990 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.990 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.990 * [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))) 10.991 * [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))) 10.991 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.991 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.991 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.992 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.992 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 10.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 10.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 10.992 * [taylor]: Taking taylor expansion of 1/3 in U 10.992 * [backup-simplify]: Simplify 1/3 into 1/3 10.992 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.992 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.992 * [taylor]: Taking taylor expansion of 1 in U 10.992 * [backup-simplify]: Simplify 1 into 1 10.992 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.992 * [taylor]: Taking taylor expansion of 1/4 in U 10.992 * [backup-simplify]: Simplify 1/4 into 1/4 10.992 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.992 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.992 * [taylor]: Taking taylor expansion of J in U 10.992 * [backup-simplify]: Simplify J into J 10.992 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.992 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.992 * [taylor]: Taking taylor expansion of -1/2 in U 10.992 * [backup-simplify]: Simplify -1/2 into -1/2 10.992 * [taylor]: Taking taylor expansion of K in U 10.992 * [backup-simplify]: Simplify K into K 10.992 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.992 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.992 * [backup-simplify]: Simplify (- 0) into 0 10.992 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.992 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.992 * [taylor]: Taking taylor expansion of U in U 10.993 * [backup-simplify]: Simplify 0 into 0 10.993 * [backup-simplify]: Simplify 1 into 1 10.993 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.993 * [backup-simplify]: Simplify (* 1 1) into 1 10.993 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.993 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.993 * [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))) 10.993 * [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))) 10.993 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.994 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.994 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.994 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.994 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 10.994 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.994 * [taylor]: Taking taylor expansion of 1/3 in J 10.994 * [backup-simplify]: Simplify 1/3 into 1/3 10.994 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.994 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.994 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.994 * [taylor]: Taking taylor expansion of 1/4 in J 10.994 * [backup-simplify]: Simplify 1/4 into 1/4 10.994 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.994 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.995 * [taylor]: Taking taylor expansion of J in J 10.995 * [backup-simplify]: Simplify 0 into 0 10.995 * [backup-simplify]: Simplify 1 into 1 10.995 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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 10.995 * [taylor]: Taking taylor expansion of K in J 10.995 * [backup-simplify]: Simplify K into K 10.995 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.995 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.995 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.995 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.995 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.995 * [backup-simplify]: Simplify (- 0) into 0 10.995 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.995 * [backup-simplify]: Simplify (* 1 1) into 1 10.996 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.996 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.996 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.996 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.996 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.996 * [taylor]: Taking taylor expansion of 2 in J 10.996 * [backup-simplify]: Simplify 2 into 2 10.996 * [taylor]: Taking taylor expansion of (log U) in J 10.996 * [taylor]: Taking taylor expansion of U in J 10.996 * [backup-simplify]: Simplify U into U 10.996 * [backup-simplify]: Simplify (log U) into (log U) 10.996 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.996 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.996 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.997 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.997 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.997 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 10.997 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 10.997 * [taylor]: Taking taylor expansion of 1/3 in K 10.997 * [backup-simplify]: Simplify 1/3 into 1/3 10.997 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 10.997 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 10.997 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.997 * [taylor]: Taking taylor expansion of 2 in K 10.997 * [backup-simplify]: Simplify 2 into 2 10.997 * [taylor]: Taking taylor expansion of (log J) in K 10.997 * [taylor]: Taking taylor expansion of J in K 10.997 * [backup-simplify]: Simplify J into J 10.997 * [backup-simplify]: Simplify (log J) into (log J) 10.997 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 10.997 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 10.997 * [taylor]: Taking taylor expansion of 1/4 in K 10.997 * [backup-simplify]: Simplify 1/4 into 1/4 10.997 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.997 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.997 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.997 * [taylor]: Taking taylor expansion of -1/2 in K 10.997 * [backup-simplify]: Simplify -1/2 into -1/2 10.997 * [taylor]: Taking taylor expansion of K in K 10.997 * [backup-simplify]: Simplify 0 into 0 10.997 * [backup-simplify]: Simplify 1 into 1 10.998 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.998 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.998 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.998 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.998 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.998 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.998 * [taylor]: Taking taylor expansion of 2 in K 10.998 * [backup-simplify]: Simplify 2 into 2 10.998 * [taylor]: Taking taylor expansion of (log U) in K 10.998 * [taylor]: Taking taylor expansion of U in K 10.998 * [backup-simplify]: Simplify U into U 10.998 * [backup-simplify]: Simplify (log U) into (log U) 10.999 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.999 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.999 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.999 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.999 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.999 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.000 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.000 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.000 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.002 * [backup-simplify]: Simplify (+ 0) into 0 11.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.004 * [backup-simplify]: Simplify (- 0) into 0 11.005 * [backup-simplify]: Simplify (+ 0 0) into 0 11.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.005 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.006 * [backup-simplify]: 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 11.006 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.007 * [backup-simplify]: Simplify (+ 0 0) into 0 11.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.008 * [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))) 11.009 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.010 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.010 * [taylor]: Taking taylor expansion of 0 in J 11.010 * [backup-simplify]: Simplify 0 into 0 11.010 * [taylor]: Taking taylor expansion of 0 in K 11.010 * [backup-simplify]: Simplify 0 into 0 11.010 * [backup-simplify]: Simplify 0 into 0 11.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.011 * [backup-simplify]: Simplify (+ 0) into 0 11.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.012 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.014 * [backup-simplify]: Simplify (- 0) into 0 11.014 * [backup-simplify]: Simplify (+ 0 0) into 0 11.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.014 * [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 11.015 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.017 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.017 * [backup-simplify]: Simplify (- 0) into 0 11.018 * [backup-simplify]: Simplify (+ 0 0) into 0 11.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.020 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.020 * [taylor]: Taking taylor expansion of 0 in K 11.020 * [backup-simplify]: Simplify 0 into 0 11.020 * [backup-simplify]: Simplify 0 into 0 11.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.021 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.021 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.022 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.023 * [backup-simplify]: Simplify (+ 0 0) into 0 11.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.024 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.025 * [backup-simplify]: Simplify (- 0) into 0 11.025 * [backup-simplify]: Simplify (+ 0 0) into 0 11.026 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.027 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.027 * [backup-simplify]: Simplify 0 into 0 11.027 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.029 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.030 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.030 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.030 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 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 0) (* 0 (cos (/ -1/2 K))))) into 0 11.032 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.033 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.033 * [backup-simplify]: Simplify (+ 1 0) into 1 11.034 * [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))) 11.035 * [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))) 11.035 * [backup-simplify]: Simplify (+ (* 1/3 (* 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 (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.036 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 11.036 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 11.036 * [taylor]: Taking taylor expansion of 4/3 in J 11.036 * [backup-simplify]: Simplify 4/3 into 4/3 11.036 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 11.036 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 11.036 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.036 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.036 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.036 * [taylor]: Taking taylor expansion of -1/2 in J 11.036 * [backup-simplify]: Simplify -1/2 into -1/2 11.036 * [taylor]: Taking taylor expansion of K in J 11.036 * [backup-simplify]: Simplify K into K 11.036 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.036 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.036 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.036 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.037 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.037 * [backup-simplify]: Simplify (- 0) into 0 11.037 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.037 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.037 * [taylor]: Taking taylor expansion of 1/3 in J 11.037 * [backup-simplify]: Simplify 1/3 into 1/3 11.037 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.037 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.037 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.037 * [taylor]: Taking taylor expansion of 1/4 in J 11.037 * [backup-simplify]: Simplify 1/4 into 1/4 11.037 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.037 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.037 * [taylor]: Taking taylor expansion of J in J 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 1 into 1 11.037 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.037 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.037 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.037 * [taylor]: Taking taylor expansion of -1/2 in J 11.037 * [backup-simplify]: Simplify -1/2 into -1/2 11.037 * [taylor]: Taking taylor expansion of K in J 11.037 * [backup-simplify]: Simplify K into K 11.037 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.037 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.037 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.037 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.037 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.038 * [backup-simplify]: Simplify (- 0) into 0 11.038 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.038 * [backup-simplify]: Simplify (* 1 1) into 1 11.038 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.038 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.038 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.038 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.038 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.038 * [taylor]: Taking taylor expansion of 2 in J 11.038 * [backup-simplify]: Simplify 2 into 2 11.038 * [taylor]: Taking taylor expansion of (log U) in J 11.038 * [taylor]: Taking taylor expansion of U in J 11.038 * [backup-simplify]: Simplify U into U 11.038 * [backup-simplify]: Simplify (log U) into (log U) 11.039 * [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)))) 11.039 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.039 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.039 * [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))) 11.039 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.039 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.039 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.039 * [taylor]: Taking taylor expansion of J in J 11.040 * [backup-simplify]: Simplify 0 into 0 11.040 * [backup-simplify]: Simplify 1 into 1 11.040 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.040 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.040 * [backup-simplify]: Simplify (* 1 1) into 1 11.040 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.041 * [backup-simplify]: Simplify (+ 0) into 0 11.041 * [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 11.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.046 * [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.048 * [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 11.048 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.049 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.050 * [backup-simplify]: Simplify (- 0) into 0 11.050 * [backup-simplify]: Simplify (+ 0 0) into 0 11.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.051 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.052 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.052 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.052 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.053 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.053 * [backup-simplify]: Simplify (- 0) into 0 11.053 * [backup-simplify]: Simplify (+ 0 0) into 0 11.054 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.054 * [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 11.054 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.056 * [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 11.057 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.057 * [backup-simplify]: Simplify (- 0) into 0 11.058 * [backup-simplify]: Simplify (+ 0 0) into 0 11.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.059 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 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 11.059 * [backup-simplify]: Simplify (+ 0) into 0 11.060 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.060 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.061 * [backup-simplify]: Simplify (- 0) into 0 11.061 * [backup-simplify]: Simplify (+ 0 0) into 0 11.062 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.063 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.064 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.065 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.065 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.066 * [backup-simplify]: Simplify (- 0) into 0 11.067 * [backup-simplify]: Simplify (+ 0 0) into 0 11.067 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.068 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 11.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.069 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 11.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 11.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.074 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 11.074 * [taylor]: Taking taylor expansion of 0 in K 11.074 * [backup-simplify]: Simplify 0 into 0 11.074 * [backup-simplify]: Simplify 0 into 0 11.074 * [taylor]: Taking taylor expansion of 0 in K 11.074 * [backup-simplify]: Simplify 0 into 0 11.074 * [backup-simplify]: Simplify 0 into 0 11.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.076 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.076 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.077 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.077 * [backup-simplify]: Simplify (- 0) into 0 11.077 * [backup-simplify]: Simplify (+ 0 0) into 0 11.078 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.078 * [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 11.079 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.080 * [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 11.081 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.081 * [backup-simplify]: Simplify (- 0) into 0 11.082 * [backup-simplify]: Simplify (+ 0 0) into 0 11.082 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.083 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 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 11.083 * [taylor]: Taking taylor expansion of 0 in K 11.083 * [backup-simplify]: Simplify 0 into 0 11.083 * [backup-simplify]: Simplify 0 into 0 11.083 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 11.083 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 11.084 * [backup-simplify]: Simplify (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) 11.084 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in (U J K) around 0 11.084 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in K 11.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 11.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 11.084 * [taylor]: Taking taylor expansion of 1/3 in K 11.084 * [backup-simplify]: Simplify 1/3 into 1/3 11.084 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.084 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.084 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.084 * [taylor]: Taking taylor expansion of 1/4 in K 11.084 * [backup-simplify]: Simplify 1/4 into 1/4 11.084 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.084 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.084 * [taylor]: Taking taylor expansion of U in K 11.084 * [backup-simplify]: Simplify U into U 11.084 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.084 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.084 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.084 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.084 * [taylor]: Taking taylor expansion of 1/2 in K 11.084 * [backup-simplify]: Simplify 1/2 into 1/2 11.084 * [taylor]: Taking taylor expansion of K in K 11.084 * [backup-simplify]: Simplify 0 into 0 11.084 * [backup-simplify]: Simplify 1 into 1 11.085 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.085 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.085 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.085 * [taylor]: Taking taylor expansion of J in K 11.085 * [backup-simplify]: Simplify J into J 11.085 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.086 * [backup-simplify]: Simplify (* 1 1) into 1 11.086 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.086 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.086 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.086 * [taylor]: Taking taylor expansion of 1 in K 11.086 * [backup-simplify]: Simplify 1 into 1 11.086 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.086 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.086 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.086 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 11.086 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/3) 11.086 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in J 11.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 11.087 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 11.087 * [taylor]: Taking taylor expansion of 1/3 in J 11.087 * [backup-simplify]: Simplify 1/3 into 1/3 11.087 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.087 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.087 * [taylor]: Taking taylor expansion of 1/4 in J 11.087 * [backup-simplify]: Simplify 1/4 into 1/4 11.087 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.087 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.087 * [taylor]: Taking taylor expansion of U in J 11.087 * [backup-simplify]: Simplify U into U 11.087 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.087 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.087 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.087 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.087 * [taylor]: Taking taylor expansion of 1/2 in J 11.087 * [backup-simplify]: Simplify 1/2 into 1/2 11.087 * [taylor]: Taking taylor expansion of K in J 11.087 * [backup-simplify]: Simplify K into K 11.087 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.087 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.087 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.087 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.087 * [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 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.087 * [taylor]: Taking taylor expansion of J in J 11.087 * [backup-simplify]: Simplify 0 into 0 11.087 * [backup-simplify]: Simplify 1 into 1 11.087 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.088 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.088 * [backup-simplify]: Simplify (* 1 1) into 1 11.088 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.088 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.088 * [taylor]: Taking taylor expansion of 1 in J 11.088 * [backup-simplify]: Simplify 1 into 1 11.088 * [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))) 11.088 * [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))) 11.088 * [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)))) 11.089 * [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))) 11.089 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 11.089 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 11.089 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 11.089 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.089 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.089 * [taylor]: Taking taylor expansion of 1/3 in U 11.089 * [backup-simplify]: Simplify 1/3 into 1/3 11.089 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.089 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.089 * [taylor]: Taking taylor expansion of 1/4 in U 11.089 * [backup-simplify]: Simplify 1/4 into 1/4 11.089 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.089 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.089 * [taylor]: Taking taylor expansion of U in U 11.089 * [backup-simplify]: Simplify 0 into 0 11.089 * [backup-simplify]: Simplify 1 into 1 11.089 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.089 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.089 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.089 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.089 * [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)) 11.090 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.090 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.090 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.090 * [backup-simplify]: Simplify (- 0) into 0 11.090 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.090 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.090 * [taylor]: Taking taylor expansion of J in U 11.090 * [backup-simplify]: Simplify J into J 11.090 * [backup-simplify]: Simplify (* 1 1) into 1 11.090 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.090 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.091 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.091 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.091 * [taylor]: Taking taylor expansion of 1 in U 11.091 * [backup-simplify]: Simplify 1 into 1 11.091 * [backup-simplify]: Simplify (+ 0 1) into 1 11.091 * [backup-simplify]: Simplify (log 1) into 0 11.091 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.092 * [backup-simplify]: Simplify (+ 0 0) into 0 11.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.093 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.093 * [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))) 11.093 * [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)))) 11.094 * [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))) 11.095 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.095 * [backup-simplify]: Simplify (exp 0) into 1 11.095 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 11.095 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.095 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.095 * [taylor]: Taking taylor expansion of 1/3 in U 11.095 * [backup-simplify]: Simplify 1/3 into 1/3 11.095 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.095 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.095 * [taylor]: Taking taylor expansion of 1/4 in U 11.095 * [backup-simplify]: Simplify 1/4 into 1/4 11.095 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.095 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.095 * [taylor]: Taking taylor expansion of U in U 11.095 * [backup-simplify]: Simplify 0 into 0 11.095 * [backup-simplify]: Simplify 1 into 1 11.095 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.095 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.095 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.095 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.095 * [taylor]: Taking taylor expansion of 1/2 in U 11.095 * [backup-simplify]: Simplify 1/2 into 1/2 11.095 * [taylor]: Taking taylor expansion of K in U 11.095 * [backup-simplify]: Simplify K into K 11.095 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.095 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.095 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.095 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.095 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.096 * [backup-simplify]: Simplify (- 0) into 0 11.096 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.096 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.096 * [taylor]: Taking taylor expansion of J in U 11.096 * [backup-simplify]: Simplify J into J 11.096 * [backup-simplify]: Simplify (* 1 1) into 1 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 (* J J) into (pow J 2) 11.096 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.096 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.096 * [taylor]: Taking taylor expansion of 1 in U 11.096 * [backup-simplify]: Simplify 1 into 1 11.097 * [backup-simplify]: Simplify (+ 0 1) into 1 11.097 * [backup-simplify]: Simplify (log 1) into 0 11.097 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.097 * [backup-simplify]: Simplify (+ 0 0) into 0 11.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.099 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.100 * [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))) 11.100 * [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)))) 11.102 * [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))) 11.103 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.103 * [backup-simplify]: Simplify (exp 0) into 1 11.103 * [taylor]: Taking taylor expansion of 1 in J 11.103 * [backup-simplify]: Simplify 1 into 1 11.103 * [taylor]: Taking taylor expansion of 1 in K 11.103 * [backup-simplify]: Simplify 1 into 1 11.103 * [backup-simplify]: Simplify 1 into 1 11.104 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 11.104 * [taylor]: Taking taylor expansion of 0 in J 11.104 * [backup-simplify]: Simplify 0 into 0 11.104 * [taylor]: Taking taylor expansion of 0 in K 11.104 * [backup-simplify]: Simplify 0 into 0 11.104 * [backup-simplify]: Simplify 0 into 0 11.104 * [taylor]: Taking taylor expansion of 0 in K 11.104 * [backup-simplify]: Simplify 0 into 0 11.104 * [backup-simplify]: Simplify 0 into 0 11.104 * [backup-simplify]: Simplify 0 into 0 11.106 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.106 * [taylor]: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.106 * [taylor]: Taking taylor expansion of 1/12 in J 11.106 * [backup-simplify]: Simplify 1/12 into 1/12 11.106 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.106 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.106 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.106 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.106 * [taylor]: Taking taylor expansion of 1/2 in J 11.106 * [backup-simplify]: Simplify 1/2 into 1/2 11.106 * [taylor]: Taking taylor expansion of K in J 11.106 * [backup-simplify]: Simplify K into K 11.106 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.106 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.106 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.106 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.107 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.107 * [backup-simplify]: Simplify (- 0) into 0 11.107 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.107 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.107 * [taylor]: Taking taylor expansion of J in J 11.107 * [backup-simplify]: Simplify 0 into 0 11.107 * [backup-simplify]: Simplify 1 into 1 11.107 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.108 * [backup-simplify]: Simplify (* 1 1) into 1 11.108 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.108 * [backup-simplify]: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) 11.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.109 * [backup-simplify]: Simplify (+ 0) into 0 11.110 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.112 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.112 * [backup-simplify]: Simplify (- 0) into 0 11.113 * [backup-simplify]: Simplify (+ 0 0) into 0 11.113 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.114 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.115 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.117 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.118 * [backup-simplify]: Simplify (- 0) into 0 11.118 * [backup-simplify]: Simplify (+ 0 0) into 0 11.118 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.119 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.120 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.120 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.121 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.121 * [taylor]: Taking taylor expansion of 0 in K 11.121 * [backup-simplify]: Simplify 0 into 0 11.121 * [backup-simplify]: Simplify 0 into 0 11.121 * [taylor]: Taking taylor expansion of 0 in K 11.121 * [backup-simplify]: Simplify 0 into 0 11.121 * [backup-simplify]: Simplify 0 into 0 11.121 * [taylor]: Taking taylor expansion of 0 in K 11.121 * [backup-simplify]: Simplify 0 into 0 11.121 * [backup-simplify]: Simplify 0 into 0 11.121 * [backup-simplify]: Simplify 1 into 1 11.122 * [backup-simplify]: Simplify (sqrt (* (cbrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (cbrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 11.122 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in (U J K) around 0 11.122 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in K 11.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 11.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 11.122 * [taylor]: Taking taylor expansion of 1/3 in K 11.122 * [backup-simplify]: Simplify 1/3 into 1/3 11.122 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.122 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.123 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.123 * [taylor]: Taking taylor expansion of 1/4 in K 11.123 * [backup-simplify]: Simplify 1/4 into 1/4 11.123 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.123 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.123 * [taylor]: Taking taylor expansion of J in K 11.123 * [backup-simplify]: Simplify J into J 11.123 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.123 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.123 * [taylor]: Taking taylor expansion of U in K 11.123 * [backup-simplify]: Simplify U into U 11.123 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.123 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.123 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.123 * [taylor]: Taking taylor expansion of 1/2 in K 11.123 * [backup-simplify]: Simplify 1/2 into 1/2 11.123 * [taylor]: Taking taylor expansion of K in K 11.123 * [backup-simplify]: Simplify 0 into 0 11.123 * [backup-simplify]: Simplify 1 into 1 11.124 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.124 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.124 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.124 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.124 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.124 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.124 * [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))) 11.124 * [taylor]: Taking taylor expansion of 1 in K 11.124 * [backup-simplify]: Simplify 1 into 1 11.125 * [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)))) 11.125 * [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) 11.125 * [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)) 11.126 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 11.126 * [backup-simplify]: Simplify (exp (* 1/3 (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) 1/3) 11.126 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in J 11.126 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 11.126 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 11.126 * [taylor]: Taking taylor expansion of 1/3 in J 11.126 * [backup-simplify]: Simplify 1/3 into 1/3 11.126 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.126 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.127 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.127 * [taylor]: Taking taylor expansion of 1/4 in J 11.127 * [backup-simplify]: Simplify 1/4 into 1/4 11.127 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.127 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.127 * [taylor]: Taking taylor expansion of J in J 11.127 * [backup-simplify]: Simplify 0 into 0 11.127 * [backup-simplify]: Simplify 1 into 1 11.127 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.127 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.127 * [taylor]: Taking taylor expansion of U in J 11.127 * [backup-simplify]: Simplify U into U 11.127 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.127 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.127 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.127 * [taylor]: Taking taylor expansion of 1/2 in J 11.127 * [backup-simplify]: Simplify 1/2 into 1/2 11.127 * [taylor]: Taking taylor expansion of K in J 11.127 * [backup-simplify]: Simplify K into K 11.127 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.127 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.127 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.127 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.127 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.128 * [backup-simplify]: Simplify (- 0) into 0 11.128 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.128 * [backup-simplify]: Simplify (* 1 1) into 1 11.128 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.129 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.129 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.129 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.129 * [taylor]: Taking taylor expansion of 1 in J 11.129 * [backup-simplify]: Simplify 1 into 1 11.130 * [backup-simplify]: Simplify (+ 0 1) into 1 11.130 * [backup-simplify]: Simplify (log 1) into 0 11.130 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.131 * [backup-simplify]: Simplify (+ 0 0) into 0 11.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.133 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.133 * [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))) 11.133 * [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)))) 11.135 * [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))) 11.136 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.136 * [backup-simplify]: Simplify (exp 0) into 1 11.136 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 11.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.136 * [taylor]: Taking taylor expansion of 1/3 in U 11.136 * [backup-simplify]: Simplify 1/3 into 1/3 11.136 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.136 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.136 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.136 * [taylor]: Taking taylor expansion of 1/4 in U 11.136 * [backup-simplify]: Simplify 1/4 into 1/4 11.136 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.136 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.137 * [taylor]: Taking taylor expansion of J in U 11.137 * [backup-simplify]: Simplify J into J 11.137 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.137 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.137 * [taylor]: Taking taylor expansion of U in U 11.137 * [backup-simplify]: Simplify 0 into 0 11.137 * [backup-simplify]: Simplify 1 into 1 11.137 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.137 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.137 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.137 * [taylor]: Taking taylor expansion of 1/2 in U 11.137 * [backup-simplify]: Simplify 1/2 into 1/2 11.137 * [taylor]: Taking taylor expansion of K in U 11.137 * [backup-simplify]: Simplify K into K 11.137 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.137 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.137 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.137 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.137 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.138 * [backup-simplify]: Simplify (- 0) into 0 11.138 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.138 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.138 * [backup-simplify]: Simplify (* 1 1) into 1 11.138 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.139 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.139 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.139 * [taylor]: Taking taylor expansion of 1 in U 11.139 * [backup-simplify]: Simplify 1 into 1 11.139 * [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))) 11.139 * [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))) 11.140 * [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)))) 11.140 * [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))) 11.141 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.141 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.141 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 11.141 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.141 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.141 * [taylor]: Taking taylor expansion of 1/3 in U 11.141 * [backup-simplify]: Simplify 1/3 into 1/3 11.141 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.141 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.141 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.141 * [taylor]: Taking taylor expansion of 1/4 in U 11.141 * [backup-simplify]: Simplify 1/4 into 1/4 11.141 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.141 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.141 * [taylor]: Taking taylor expansion of J in U 11.141 * [backup-simplify]: Simplify J into J 11.142 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.142 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.142 * [taylor]: Taking taylor expansion of U in U 11.142 * [backup-simplify]: Simplify 0 into 0 11.142 * [backup-simplify]: Simplify 1 into 1 11.142 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.142 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.142 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.142 * [taylor]: Taking taylor expansion of 1/2 in U 11.142 * [backup-simplify]: Simplify 1/2 into 1/2 11.142 * [taylor]: Taking taylor expansion of K in U 11.142 * [backup-simplify]: Simplify K into K 11.142 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.142 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.142 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.142 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.142 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.143 * [backup-simplify]: Simplify (- 0) into 0 11.143 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.143 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.143 * [backup-simplify]: Simplify (* 1 1) into 1 11.143 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.144 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.144 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.144 * [taylor]: Taking taylor expansion of 1 in U 11.144 * [backup-simplify]: Simplify 1 into 1 11.144 * [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))) 11.144 * [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))) 11.144 * [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)))) 11.145 * [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))) 11.145 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.146 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.146 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.146 * [taylor]: Taking taylor expansion of 1/3 in J 11.146 * [backup-simplify]: Simplify 1/3 into 1/3 11.146 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.146 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.146 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.146 * [taylor]: Taking taylor expansion of 1/4 in J 11.146 * [backup-simplify]: Simplify 1/4 into 1/4 11.146 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.146 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.146 * [taylor]: Taking taylor expansion of J in J 11.146 * [backup-simplify]: Simplify 0 into 0 11.146 * [backup-simplify]: Simplify 1 into 1 11.146 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.146 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.146 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.147 * [taylor]: Taking taylor expansion of 1/2 in J 11.147 * [backup-simplify]: Simplify 1/2 into 1/2 11.147 * [taylor]: Taking taylor expansion of K in J 11.147 * [backup-simplify]: Simplify K into K 11.147 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.147 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.147 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.147 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.147 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.147 * [backup-simplify]: Simplify (- 0) into 0 11.148 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.148 * [backup-simplify]: Simplify (* 1 1) into 1 11.148 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.148 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.148 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.149 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.149 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.149 * [taylor]: Taking taylor expansion of 2 in J 11.149 * [backup-simplify]: Simplify 2 into 2 11.149 * [taylor]: Taking taylor expansion of (log U) in J 11.149 * [taylor]: Taking taylor expansion of U in J 11.149 * [backup-simplify]: Simplify U into U 11.149 * [backup-simplify]: Simplify (log U) into (log U) 11.149 * [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)))) 11.149 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.150 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.150 * [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))) 11.150 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.150 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.151 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.151 * [taylor]: Taking taylor expansion of 1/3 in K 11.151 * [backup-simplify]: Simplify 1/3 into 1/3 11.151 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.151 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 11.151 * [taylor]: Taking taylor expansion of (* 2 (log J)) 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 J) in K 11.151 * [taylor]: Taking taylor expansion of J in K 11.151 * [backup-simplify]: Simplify J into J 11.151 * [backup-simplify]: Simplify (log J) into (log J) 11.151 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 11.151 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 11.151 * [taylor]: Taking taylor expansion of 1/4 in K 11.151 * [backup-simplify]: Simplify 1/4 into 1/4 11.151 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.151 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.151 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.151 * [taylor]: Taking taylor expansion of 1/2 in K 11.151 * [backup-simplify]: Simplify 1/2 into 1/2 11.151 * [taylor]: Taking taylor expansion of K in K 11.151 * [backup-simplify]: Simplify 0 into 0 11.151 * [backup-simplify]: Simplify 1 into 1 11.152 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.152 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.152 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.152 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.152 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.152 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.152 * [taylor]: Taking taylor expansion of 2 in K 11.152 * [backup-simplify]: Simplify 2 into 2 11.152 * [taylor]: Taking taylor expansion of (log U) in K 11.152 * [taylor]: Taking taylor expansion of U in K 11.153 * [backup-simplify]: Simplify U into U 11.153 * [backup-simplify]: Simplify (log U) into (log U) 11.153 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.153 * [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)))) 11.153 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.153 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.153 * [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))) 11.154 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.154 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.155 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.155 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.155 * [backup-simplify]: Simplify (+ 0) into 0 11.156 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.157 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.157 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.158 * [backup-simplify]: Simplify (- 0) into 0 11.158 * [backup-simplify]: Simplify (+ 0 0) into 0 11.159 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.160 * [backup-simplify]: 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 11.161 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.161 * [backup-simplify]: Simplify (+ 0 0) into 0 11.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.163 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.164 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.165 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.165 * [taylor]: Taking taylor expansion of 0 in J 11.165 * [backup-simplify]: Simplify 0 into 0 11.165 * [taylor]: Taking taylor expansion of 0 in K 11.165 * [backup-simplify]: Simplify 0 into 0 11.165 * [backup-simplify]: Simplify 0 into 0 11.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.167 * [backup-simplify]: Simplify (+ 0) into 0 11.167 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.167 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.169 * [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 (cos (/ 1/2 K)))) into 0 11.170 * [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 11.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.173 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.173 * [backup-simplify]: Simplify (- 0) into 0 11.173 * [backup-simplify]: Simplify (+ 0 0) into 0 11.174 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.175 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.175 * [taylor]: Taking taylor expansion of 0 in K 11.175 * [backup-simplify]: Simplify 0 into 0 11.175 * [backup-simplify]: Simplify 0 into 0 11.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.181 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.182 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.183 * [backup-simplify]: Simplify (+ 0 0) into 0 11.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.185 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.185 * [backup-simplify]: Simplify (- 0) into 0 11.185 * [backup-simplify]: Simplify (+ 0 0) into 0 11.186 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.187 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.187 * [backup-simplify]: Simplify 0 into 0 11.188 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.189 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.190 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.190 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.191 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.191 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.192 * [backup-simplify]: Simplify (- 0) into 0 11.192 * [backup-simplify]: Simplify (+ 0 0) into 0 11.193 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.195 * [backup-simplify]: 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 11.196 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.197 * [backup-simplify]: Simplify (+ 0 1) into 1 11.198 * [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))) 11.199 * [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))) 11.200 * [backup-simplify]: Simplify (+ (* 1/3 (* 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 (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.201 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 11.201 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (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 11.202 * [taylor]: Taking taylor expansion of 4/3 in J 11.202 * [backup-simplify]: Simplify 4/3 into 4/3 11.202 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/3 (- (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 11.202 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 11.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.202 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.202 * [taylor]: Taking taylor expansion of 1/3 in J 11.202 * [backup-simplify]: Simplify 1/3 into 1/3 11.202 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.202 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.202 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.202 * [taylor]: Taking taylor expansion of 1/4 in J 11.202 * [backup-simplify]: Simplify 1/4 into 1/4 11.202 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.202 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.202 * [taylor]: Taking taylor expansion of J in J 11.202 * [backup-simplify]: Simplify 0 into 0 11.202 * [backup-simplify]: Simplify 1 into 1 11.202 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.202 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.202 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.202 * [taylor]: Taking taylor expansion of 1/2 in J 11.202 * [backup-simplify]: Simplify 1/2 into 1/2 11.202 * [taylor]: Taking taylor expansion of K in J 11.202 * [backup-simplify]: Simplify K into K 11.202 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.202 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.202 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.203 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.203 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.203 * [backup-simplify]: Simplify (- 0) into 0 11.203 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.204 * [backup-simplify]: Simplify (* 1 1) into 1 11.204 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.204 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.204 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.204 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.204 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.204 * [taylor]: Taking taylor expansion of 2 in J 11.204 * [backup-simplify]: Simplify 2 into 2 11.204 * [taylor]: Taking taylor expansion of (log U) in J 11.204 * [taylor]: Taking taylor expansion of U in J 11.204 * [backup-simplify]: Simplify U into U 11.204 * [backup-simplify]: Simplify (log U) into (log U) 11.205 * [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)))) 11.205 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.205 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.205 * [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))) 11.206 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.206 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.206 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.206 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.206 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.206 * [taylor]: Taking taylor expansion of 1/2 in J 11.206 * [backup-simplify]: Simplify 1/2 into 1/2 11.206 * [taylor]: Taking taylor expansion of K in J 11.206 * [backup-simplify]: Simplify K into K 11.206 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.206 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.206 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.207 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.207 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.207 * [backup-simplify]: Simplify (- 0) into 0 11.207 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.207 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.207 * [taylor]: Taking taylor expansion of J in J 11.207 * [backup-simplify]: Simplify 0 into 0 11.207 * [backup-simplify]: Simplify 1 into 1 11.207 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.208 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.208 * [backup-simplify]: Simplify (* 1 1) into 1 11.209 * [backup-simplify]: Simplify (/ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.209 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.210 * [backup-simplify]: Simplify (+ 0) into 0 11.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.211 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.212 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.213 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.213 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.214 * [backup-simplify]: Simplify (- 0) into 0 11.214 * [backup-simplify]: Simplify (+ 0 0) into 0 11.214 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.214 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.215 * [backup-simplify]: Simplify (- 0) into 0 11.215 * [backup-simplify]: Simplify (+ 0 0) into 0 11.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.216 * [backup-simplify]: Simplify (+ 0) into 0 11.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.217 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.217 * [backup-simplify]: Simplify (- 0) into 0 11.218 * [backup-simplify]: Simplify (+ 0 0) into 0 11.218 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.218 * [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 11.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.219 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.220 * [backup-simplify]: Simplify (- 0) into 0 11.220 * [backup-simplify]: Simplify (+ 0 0) into 0 11.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.221 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.221 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.222 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.223 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.224 * [backup-simplify]: Simplify (- 0) into 0 11.224 * [backup-simplify]: Simplify (+ 0 0) into 0 11.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.225 * [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 11.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.226 * [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 11.227 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.228 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.228 * [backup-simplify]: Simplify (- 0) into 0 11.228 * [backup-simplify]: Simplify (+ 0 0) into 0 11.229 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.230 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 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 11.230 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 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 11.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.231 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 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 11.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 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 11.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 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 11.234 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 11.234 * [taylor]: Taking taylor expansion of 0 in K 11.234 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify 0 into 0 11.234 * [taylor]: Taking taylor expansion of 0 in K 11.234 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify 0 into 0 11.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.236 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.236 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.236 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.237 * [backup-simplify]: Simplify (- 0) into 0 11.237 * [backup-simplify]: Simplify (+ 0 0) into 0 11.238 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.238 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.238 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.240 * [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 11.240 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.241 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.241 * [backup-simplify]: Simplify (- 0) into 0 11.242 * [backup-simplify]: Simplify (+ 0 0) into 0 11.243 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.244 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 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 11.244 * [taylor]: Taking taylor expansion of 0 in K 11.244 * [backup-simplify]: Simplify 0 into 0 11.244 * [backup-simplify]: Simplify 0 into 0 11.245 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 11.246 * [backup-simplify]: Simplify (sqrt (* (cbrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (cbrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 11.246 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in (U J K) around 0 11.246 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in K 11.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 11.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 11.247 * [taylor]: Taking taylor expansion of 1/3 in K 11.247 * [backup-simplify]: Simplify 1/3 into 1/3 11.247 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.247 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.247 * [taylor]: Taking taylor expansion of 1 in K 11.247 * [backup-simplify]: Simplify 1 into 1 11.247 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.247 * [taylor]: Taking taylor expansion of 1/4 in K 11.247 * [backup-simplify]: Simplify 1/4 into 1/4 11.247 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.247 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.247 * [taylor]: Taking taylor expansion of J in K 11.247 * [backup-simplify]: Simplify J into J 11.247 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.247 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.247 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.247 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.247 * [taylor]: Taking taylor expansion of -1/2 in K 11.247 * [backup-simplify]: Simplify -1/2 into -1/2 11.247 * [taylor]: Taking taylor expansion of K in K 11.247 * [backup-simplify]: Simplify 0 into 0 11.247 * [backup-simplify]: Simplify 1 into 1 11.248 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.248 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.248 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.248 * [taylor]: Taking taylor expansion of U in K 11.248 * [backup-simplify]: Simplify U into U 11.248 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.248 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.248 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.248 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.248 * [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))) 11.249 * [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)))) 11.249 * [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))))) 11.250 * [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)))))) 11.250 * [backup-simplify]: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 11.250 * [backup-simplify]: Simplify (exp (* 1/3 (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))))) 1/3) 11.250 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in J 11.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 11.251 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 11.251 * [taylor]: Taking taylor expansion of 1/3 in J 11.251 * [backup-simplify]: Simplify 1/3 into 1/3 11.251 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.251 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.251 * [taylor]: Taking taylor expansion of 1 in J 11.251 * [backup-simplify]: Simplify 1 into 1 11.251 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.251 * [taylor]: Taking taylor expansion of 1/4 in J 11.251 * [backup-simplify]: Simplify 1/4 into 1/4 11.251 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.251 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.251 * [taylor]: Taking taylor expansion of J in J 11.251 * [backup-simplify]: Simplify 0 into 0 11.251 * [backup-simplify]: Simplify 1 into 1 11.251 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.251 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.251 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.251 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.251 * [taylor]: Taking taylor expansion of -1/2 in J 11.251 * [backup-simplify]: Simplify -1/2 into -1/2 11.251 * [taylor]: Taking taylor expansion of K in J 11.251 * [backup-simplify]: Simplify K into K 11.251 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.251 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.251 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.251 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.252 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.252 * [backup-simplify]: Simplify (- 0) into 0 11.252 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.252 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.252 * [taylor]: Taking taylor expansion of U in J 11.252 * [backup-simplify]: Simplify U into U 11.253 * [backup-simplify]: Simplify (* 1 1) into 1 11.253 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.253 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.253 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.253 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.254 * [backup-simplify]: Simplify (+ 1 0) into 1 11.254 * [backup-simplify]: Simplify (log 1) into 0 11.254 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.255 * [backup-simplify]: Simplify (+ 0 0) into 0 11.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.257 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.257 * [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))) 11.257 * [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)))) 11.260 * [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))) 11.261 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.261 * [backup-simplify]: Simplify (exp 0) into 1 11.261 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 11.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.261 * [taylor]: Taking taylor expansion of 1/3 in U 11.261 * [backup-simplify]: Simplify 1/3 into 1/3 11.261 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.261 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.261 * [taylor]: Taking taylor expansion of 1 in U 11.261 * [backup-simplify]: Simplify 1 into 1 11.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.261 * [taylor]: Taking taylor expansion of 1/4 in U 11.261 * [backup-simplify]: Simplify 1/4 into 1/4 11.261 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.261 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.261 * [taylor]: Taking taylor expansion of J in U 11.261 * [backup-simplify]: Simplify J into J 11.261 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.261 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.261 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.261 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.261 * [taylor]: Taking taylor expansion of -1/2 in U 11.261 * [backup-simplify]: Simplify -1/2 into -1/2 11.261 * [taylor]: Taking taylor expansion of K in U 11.261 * [backup-simplify]: Simplify K into K 11.261 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.261 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.262 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.262 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.262 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.262 * [backup-simplify]: Simplify (- 0) into 0 11.262 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.262 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.262 * [taylor]: Taking taylor expansion of U in U 11.262 * [backup-simplify]: Simplify 0 into 0 11.262 * [backup-simplify]: Simplify 1 into 1 11.262 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.263 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.263 * [backup-simplify]: Simplify (* 1 1) into 1 11.263 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.263 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.264 * [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))) 11.264 * [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))) 11.264 * [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)))) 11.265 * [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))) 11.265 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.266 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.266 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 11.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.266 * [taylor]: Taking taylor expansion of 1/3 in U 11.266 * [backup-simplify]: Simplify 1/3 into 1/3 11.266 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.266 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.266 * [taylor]: Taking taylor expansion of 1 in U 11.266 * [backup-simplify]: Simplify 1 into 1 11.266 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.266 * [taylor]: Taking taylor expansion of 1/4 in U 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) (pow U 2))) in U 11.266 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.266 * [taylor]: Taking taylor expansion of J in U 11.266 * [backup-simplify]: Simplify J into J 11.266 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.266 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.266 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.266 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.266 * [taylor]: Taking taylor expansion of -1/2 in U 11.266 * [backup-simplify]: Simplify -1/2 into -1/2 11.266 * [taylor]: Taking taylor expansion of K in U 11.266 * [backup-simplify]: Simplify K into K 11.266 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.266 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.267 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.267 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.267 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.267 * [backup-simplify]: Simplify (- 0) into 0 11.267 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.267 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.267 * [taylor]: Taking taylor expansion of U in U 11.267 * [backup-simplify]: Simplify 0 into 0 11.267 * [backup-simplify]: Simplify 1 into 1 11.267 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.268 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.268 * [backup-simplify]: Simplify (* 1 1) into 1 11.268 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.268 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.268 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.269 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.269 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.270 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.270 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.270 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.270 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.270 * [taylor]: Taking taylor expansion of 1/3 in J 11.271 * [backup-simplify]: Simplify 1/3 into 1/3 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 11.271 * [backup-simplify]: Simplify 0 into 0 11.271 * [backup-simplify]: Simplify 1 into 1 11.271 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.271 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.271 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.271 * [taylor]: Taking taylor expansion of -1/2 in J 11.271 * [backup-simplify]: Simplify -1/2 into -1/2 11.271 * [taylor]: Taking taylor expansion of K in J 11.271 * [backup-simplify]: Simplify K into K 11.271 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.271 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.271 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.271 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.271 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.272 * [backup-simplify]: Simplify (- 0) into 0 11.272 * [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)) 11.273 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.273 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.273 * [taylor]: Taking taylor expansion of 2 in J 11.273 * [backup-simplify]: Simplify 2 into 2 11.273 * [taylor]: Taking taylor expansion of (log U) in J 11.273 * [taylor]: Taking taylor expansion of U in J 11.273 * [backup-simplify]: Simplify U into U 11.274 * [backup-simplify]: Simplify (log U) into (log U) 11.274 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.274 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.274 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.275 * [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 (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.275 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.275 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.275 * [taylor]: Taking taylor expansion of 1/3 in K 11.275 * [backup-simplify]: Simplify 1/3 into 1/3 11.275 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.275 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 11.275 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.276 * [taylor]: Taking taylor expansion of 2 in K 11.276 * [backup-simplify]: Simplify 2 into 2 11.276 * [taylor]: Taking taylor expansion of (log J) in K 11.276 * [taylor]: Taking taylor expansion of J in K 11.276 * [backup-simplify]: Simplify J into J 11.276 * [backup-simplify]: Simplify (log J) into (log J) 11.276 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 11.276 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 11.276 * [taylor]: Taking taylor expansion of 1/4 in K 11.276 * [backup-simplify]: Simplify 1/4 into 1/4 11.276 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.276 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.276 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.276 * [taylor]: Taking taylor expansion of -1/2 in K 11.276 * [backup-simplify]: Simplify -1/2 into -1/2 11.276 * [taylor]: Taking taylor expansion of K in K 11.276 * [backup-simplify]: Simplify 0 into 0 11.276 * [backup-simplify]: Simplify 1 into 1 11.277 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.277 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.277 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.277 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.277 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.277 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.277 * [taylor]: Taking taylor expansion of 2 in K 11.277 * [backup-simplify]: Simplify 2 into 2 11.277 * [taylor]: Taking taylor expansion of (log U) in K 11.277 * [taylor]: Taking taylor expansion of U in K 11.277 * [backup-simplify]: Simplify U into U 11.277 * [backup-simplify]: Simplify (log U) into (log U) 11.277 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.278 * [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)))) 11.278 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.278 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.278 * [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))) 11.278 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.279 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.279 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.279 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.280 * [backup-simplify]: Simplify (+ 0) into 0 11.281 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.281 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.282 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.282 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.283 * [backup-simplify]: Simplify (- 0) into 0 11.283 * [backup-simplify]: Simplify (+ 0 0) into 0 11.283 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.284 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.284 * [backup-simplify]: 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 11.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.285 * [backup-simplify]: Simplify (+ 0 0) into 0 11.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.287 * [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))) 11.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.289 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.289 * [taylor]: Taking taylor expansion of 0 in J 11.289 * [backup-simplify]: Simplify 0 into 0 11.289 * [taylor]: Taking taylor expansion of 0 in K 11.289 * [backup-simplify]: Simplify 0 into 0 11.289 * [backup-simplify]: Simplify 0 into 0 11.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.291 * [backup-simplify]: Simplify (+ 0) into 0 11.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.291 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.293 * [backup-simplify]: Simplify (- 0) into 0 11.293 * [backup-simplify]: Simplify (+ 0 0) into 0 11.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.294 * [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 11.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.296 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.297 * [backup-simplify]: Simplify (- 0) into 0 11.297 * [backup-simplify]: Simplify (+ 0 0) into 0 11.298 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.299 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.299 * [taylor]: Taking taylor expansion of 0 in K 11.299 * [backup-simplify]: Simplify 0 into 0 11.299 * [backup-simplify]: Simplify 0 into 0 11.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.300 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.301 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.302 * [backup-simplify]: Simplify (+ 0 0) into 0 11.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.303 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.304 * [backup-simplify]: Simplify (- 0) into 0 11.304 * [backup-simplify]: Simplify (+ 0 0) into 0 11.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.306 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.306 * [backup-simplify]: Simplify 0 into 0 11.307 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.309 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.310 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.311 * [backup-simplify]: Simplify (- 0) into 0 11.311 * [backup-simplify]: Simplify (+ 0 0) into 0 11.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.312 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.313 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.319 * [backup-simplify]: Simplify (+ 1 0) into 1 11.321 * [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))) 11.322 * [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))) 11.323 * [backup-simplify]: Simplify (+ (* 1/3 (* 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 (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.324 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 11.324 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 11.324 * [taylor]: Taking taylor expansion of 4/3 in J 11.324 * [backup-simplify]: Simplify 4/3 into 4/3 11.324 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 11.324 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 11.324 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.324 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.324 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.324 * [taylor]: Taking taylor expansion of -1/2 in J 11.324 * [backup-simplify]: Simplify -1/2 into -1/2 11.324 * [taylor]: Taking taylor expansion of K in J 11.324 * [backup-simplify]: Simplify K into K 11.324 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.324 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.324 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.325 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.325 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.325 * [backup-simplify]: Simplify (- 0) into 0 11.325 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.325 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.325 * [taylor]: Taking taylor expansion of 1/3 in J 11.325 * [backup-simplify]: Simplify 1/3 into 1/3 11.325 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.325 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.325 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.325 * [taylor]: Taking taylor expansion of 1/4 in J 11.325 * [backup-simplify]: Simplify 1/4 into 1/4 11.325 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.326 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.326 * [taylor]: Taking taylor expansion of J in J 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) in J 11.326 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.326 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.326 * [taylor]: Taking taylor expansion of -1/2 in J 11.326 * [backup-simplify]: Simplify -1/2 into -1/2 11.326 * [taylor]: Taking taylor expansion of K in J 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)) 11.326 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.326 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.326 * [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 * [backup-simplify]: Simplify (* 1 1) into 1 11.327 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.327 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.327 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.328 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.328 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.328 * [taylor]: Taking taylor expansion of 2 in J 11.328 * [backup-simplify]: Simplify 2 into 2 11.328 * [taylor]: Taking taylor expansion of (log U) in J 11.328 * [taylor]: Taking taylor expansion of U in J 11.328 * [backup-simplify]: Simplify U into U 11.328 * [backup-simplify]: Simplify (log U) into (log U) 11.328 * [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)))) 11.328 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.328 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.329 * [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))) 11.329 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.329 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.329 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.329 * [taylor]: Taking taylor expansion of J in J 11.330 * [backup-simplify]: Simplify 0 into 0 11.330 * [backup-simplify]: Simplify 1 into 1 11.330 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.330 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.331 * [backup-simplify]: Simplify (* 1 1) into 1 11.331 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.332 * [backup-simplify]: Simplify (+ 0) into 0 11.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.333 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.334 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.335 * [backup-simplify]: Simplify (- 0) into 0 11.335 * [backup-simplify]: Simplify (+ 0 0) into 0 11.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.336 * [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 11.336 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.338 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.339 * [backup-simplify]: Simplify (- 0) into 0 11.339 * [backup-simplify]: Simplify (+ 0 0) into 0 11.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.343 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.343 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.344 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.344 * [backup-simplify]: Simplify (- 0) into 0 11.345 * [backup-simplify]: Simplify (+ 0 0) into 0 11.345 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.346 * [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 11.347 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.348 * [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 11.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.350 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.350 * [backup-simplify]: Simplify (- 0) into 0 11.351 * [backup-simplify]: Simplify (+ 0 0) into 0 11.351 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.352 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 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 11.353 * [backup-simplify]: Simplify (+ 0) into 0 11.353 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.353 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.354 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.354 * [backup-simplify]: Simplify (- 0) into 0 11.354 * [backup-simplify]: Simplify (+ 0 0) into 0 11.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.355 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.356 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.356 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.357 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.357 * [backup-simplify]: Simplify (- 0) into 0 11.357 * [backup-simplify]: Simplify (+ 0 0) into 0 11.358 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.358 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 11.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.359 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 11.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 11.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.362 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 11.362 * [taylor]: Taking taylor expansion of 0 in K 11.362 * [backup-simplify]: Simplify 0 into 0 11.362 * [backup-simplify]: Simplify 0 into 0 11.362 * [taylor]: Taking taylor expansion of 0 in K 11.362 * [backup-simplify]: Simplify 0 into 0 11.363 * [backup-simplify]: Simplify 0 into 0 11.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.364 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.364 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.365 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.365 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.366 * [backup-simplify]: Simplify (- 0) into 0 11.366 * [backup-simplify]: Simplify (+ 0 0) into 0 11.366 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.366 * [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 11.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.368 * [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 11.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.370 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.370 * [backup-simplify]: Simplify (- 0) into 0 11.370 * [backup-simplify]: Simplify (+ 0 0) into 0 11.371 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.372 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 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 11.372 * [taylor]: Taking taylor expansion of 0 in K 11.372 * [backup-simplify]: Simplify 0 into 0 11.372 * [backup-simplify]: Simplify 0 into 0 11.372 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 11.372 * * * [progress]: simplifying candidates 11.372 * * * * [progress]: [ 1 / 82 ] simplifiying candidate # 11.372 * * * * [progress]: [ 2 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 3 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 4 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 5 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 6 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 7 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 8 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 9 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 10 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 11 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 12 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 13 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 14 / 82 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 11.373 * * * * [progress]: [ 15 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 16 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 17 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 18 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 19 / 82 ] simplifiying candidate # 11.373 * * * * [progress]: [ 20 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 21 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 22 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 23 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 24 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 25 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 26 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 27 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 28 / 82 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 11.374 * * * * [progress]: [ 29 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 30 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 31 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 32 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 33 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 34 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 35 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 36 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 37 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 38 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 39 / 82 ] simplifiying candidate # 11.374 * * * * [progress]: [ 40 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 41 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 42 / 82 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 11.375 * * * * [progress]: [ 43 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 44 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 45 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 46 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 47 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 48 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 49 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 50 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 51 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 52 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 53 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 54 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 55 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 56 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 57 / 82 ] simplifiying candidate # 11.375 * * * * [progress]: [ 58 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 59 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 60 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 61 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 62 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 63 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 64 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 65 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 66 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 67 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 68 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 69 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 70 / 82 ] simplifiying candidate #real (real->posit16 (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 11.376 * * * * [progress]: [ 71 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 72 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 73 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 74 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 75 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 76 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 77 / 82 ] simplifiying candidate # 11.376 * * * * [progress]: [ 78 / 82 ] simplifiying candidate # 11.377 * * * * [progress]: [ 79 / 82 ] simplifiying candidate # 11.377 * * * * [progress]: [ 80 / 82 ] simplifiying candidate # 11.377 * * * * [progress]: [ 81 / 82 ] simplifiying candidate # 11.377 * * * * [progress]: [ 82 / 82 ] simplifiying candidate # 11.378 * [simplify]: Simplifying: (log (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (exp (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt 1) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (cbrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cbrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (real->posit16 (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos 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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)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) -1)) (cbrt (+ -1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (cbrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (cbrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (cbrt (cbrt (+ 1 (* (/ (/ 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 (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (real->posit16 (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (log (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (exp (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (cbrt (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (cbrt (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (cbrt (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (* (* (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fabs (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))))) 1))) (fabs (cbrt (+ (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (sqrt (* (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))))) 1)) (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))))) -1)))) (sqrt (* (cbrt (+ -1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (+ (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (sqrt (* (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))))) 1)) (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))))) -1)))) (sqrt (* (cbrt (+ -1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (+ (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (fabs (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))))) -1))) (fabs (cbrt (+ -1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (* (cbrt (+ 1 (* (/ (/ 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))))) 1)))) (sqrt (cbrt (+ (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (sqrt (* (cbrt (+ 1 (* (/ (/ 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))))) -1)))) (sqrt (cbrt (+ -1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (* (cbrt (+ 1 (* (/ (/ 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))))) 1)))) (sqrt (cbrt (+ (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (sqrt (* (cbrt (+ 1 (* (/ (/ 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))))) -1)))) (sqrt (cbrt (+ -1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1/3 1 1/6 1/2 1 1 1/2 1/3 1 (sqrt (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (sqrt (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (real->posit16 (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) 1 (exp (* (+ (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (- (* -2 (log J)) (* -2 (log U)))) 1/3)) (exp (+ (* 2/3 (- (log (/ -1 J)) (log (/ -1 U)))) (* 1/3 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))))) 1 (exp (* (+ (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (- (* -2 (log J)) (* -2 (log U)))) 1/3)) (exp (+ (* 2/3 (- (log (/ -1 J)) (log (/ -1 U)))) (* 1/3 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))))) 1 (exp (* (+ (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (- (* -2 (log J)) (* -2 (log U)))) 1/3)) (exp (+ (* 2/3 (- (log (/ -1 J)) (log (/ -1 U)))) (* 1/3 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))))) 1 (exp (* (+ (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (- (* -2 (log J)) (* -2 (log U)))) 1/3)) (exp (+ (* 2/3 (- (log (/ -1 J)) (log (/ -1 U)))) (* 1/3 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))))) 12.352 * * * [progress]: adding candidates to table 13.893 * * [progress]: iteration 4 / 4 13.893 * * * [progress]: picking best candidate 13.940 * * * * [pick]: Picked # 13.940 * * * [progress]: localizing error 14.041 * * * [progress]: generating rewritten candidates 14.041 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 14.191 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 14.337 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 14.541 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 14.975 * * * [progress]: generating series expansions 14.975 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 14.975 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 14.975 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 14.976 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 14.976 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 14.976 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 14.976 * [taylor]: Taking taylor expansion of 1/4 in K 14.976 * [backup-simplify]: Simplify 1/4 into 1/4 14.976 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 14.976 * [taylor]: Taking taylor expansion of (pow U 2) in K 14.976 * [taylor]: Taking taylor expansion of U in K 14.976 * [backup-simplify]: Simplify U into U 14.976 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 14.976 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 14.976 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.976 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.976 * [taylor]: Taking taylor expansion of 1/2 in K 14.976 * [backup-simplify]: Simplify 1/2 into 1/2 14.976 * [taylor]: Taking taylor expansion of K in K 14.976 * [backup-simplify]: Simplify 0 into 0 14.976 * [backup-simplify]: Simplify 1 into 1 14.977 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.978 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.978 * [taylor]: Taking taylor expansion of (pow J 2) in K 14.978 * [taylor]: Taking taylor expansion of J in K 14.978 * [backup-simplify]: Simplify J into J 14.978 * [backup-simplify]: Simplify (* U U) into (pow U 2) 14.979 * [backup-simplify]: Simplify (* 1 1) into 1 14.979 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.979 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 14.979 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 14.979 * [taylor]: Taking taylor expansion of 1 in K 14.979 * [backup-simplify]: Simplify 1 into 1 14.979 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 14.980 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 14.980 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 14.980 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 14.980 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 14.980 * [backup-simplify]: Simplify (+ 0) into 0 14.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 14.982 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 14.982 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 14.983 * [backup-simplify]: Simplify (+ 0 0) into 0 14.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 14.983 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 14.983 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 14.983 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 14.983 * [taylor]: Taking taylor expansion of 1/4 in J 14.983 * [backup-simplify]: Simplify 1/4 into 1/4 14.983 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 14.983 * [taylor]: Taking taylor expansion of (pow U 2) in J 14.983 * [taylor]: Taking taylor expansion of U in J 14.983 * [backup-simplify]: Simplify U into U 14.983 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 14.983 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 14.983 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.984 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.984 * [taylor]: Taking taylor expansion of 1/2 in J 14.984 * [backup-simplify]: Simplify 1/2 into 1/2 14.984 * [taylor]: Taking taylor expansion of K in J 14.984 * [backup-simplify]: Simplify K into K 14.984 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.984 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.984 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.984 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.984 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.984 * [backup-simplify]: Simplify (- 0) into 0 14.984 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.984 * [taylor]: Taking taylor expansion of (pow J 2) in J 14.984 * [taylor]: Taking taylor expansion of J in J 14.985 * [backup-simplify]: Simplify 0 into 0 14.985 * [backup-simplify]: Simplify 1 into 1 14.985 * [backup-simplify]: Simplify (* U U) into (pow U 2) 14.985 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 14.985 * [backup-simplify]: Simplify (* 1 1) into 1 14.985 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 14.985 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 14.985 * [taylor]: Taking taylor expansion of 1 in J 14.985 * [backup-simplify]: Simplify 1 into 1 14.986 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 14.986 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 14.986 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 14.986 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 14.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.987 * [backup-simplify]: Simplify (+ 0) into 0 14.988 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.989 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.990 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.990 * [backup-simplify]: Simplify (- 0) into 0 14.990 * [backup-simplify]: Simplify (+ 0 0) into 0 14.991 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 14.991 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 14.992 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 14.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 14.993 * [backup-simplify]: Simplify (+ 0 0) into 0 14.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 14.993 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 14.993 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 14.993 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 14.993 * [taylor]: Taking taylor expansion of 1/4 in U 14.993 * [backup-simplify]: Simplify 1/4 into 1/4 14.993 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 14.993 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.993 * [taylor]: Taking taylor expansion of U in U 14.993 * [backup-simplify]: Simplify 0 into 0 14.993 * [backup-simplify]: Simplify 1 into 1 14.993 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 14.993 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 14.993 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.993 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.993 * [taylor]: Taking taylor expansion of 1/2 in U 14.993 * [backup-simplify]: Simplify 1/2 into 1/2 14.993 * [taylor]: Taking taylor expansion of K in U 14.993 * [backup-simplify]: Simplify K into K 14.993 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.993 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.994 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.994 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.994 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.994 * [backup-simplify]: Simplify (- 0) into 0 14.994 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.994 * [taylor]: Taking taylor expansion of (pow J 2) in U 14.994 * [taylor]: Taking taylor expansion of J in U 14.994 * [backup-simplify]: Simplify J into J 14.995 * [backup-simplify]: Simplify (* 1 1) into 1 14.995 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 14.995 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.995 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 14.995 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 14.995 * [taylor]: Taking taylor expansion of 1 in U 14.995 * [backup-simplify]: Simplify 1 into 1 14.996 * [backup-simplify]: Simplify (+ 0 1) into 1 14.996 * [backup-simplify]: Simplify (sqrt 1) into 1 14.997 * [backup-simplify]: Simplify (+ 0 0) into 0 14.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.997 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 14.998 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 14.998 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 14.998 * [taylor]: Taking taylor expansion of 1/4 in U 14.998 * [backup-simplify]: Simplify 1/4 into 1/4 14.998 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 14.998 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.998 * [taylor]: Taking taylor expansion of U in U 14.998 * [backup-simplify]: Simplify 0 into 0 14.998 * [backup-simplify]: Simplify 1 into 1 14.998 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 14.998 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 14.998 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.998 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.998 * [taylor]: Taking taylor expansion of 1/2 in U 14.998 * [backup-simplify]: Simplify 1/2 into 1/2 14.998 * [taylor]: Taking taylor expansion of K in U 14.998 * [backup-simplify]: Simplify K into K 14.998 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.998 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.999 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.999 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.999 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.999 * [backup-simplify]: Simplify (- 0) into 0 14.999 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.999 * [taylor]: Taking taylor expansion of (pow J 2) in U 14.999 * [taylor]: Taking taylor expansion of J in U 14.999 * [backup-simplify]: Simplify J into J 15.000 * [backup-simplify]: Simplify (* 1 1) into 1 15.000 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.000 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.000 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.000 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.001 * [taylor]: Taking taylor expansion of 1 in U 15.001 * [backup-simplify]: Simplify 1 into 1 15.001 * [backup-simplify]: Simplify (+ 0 1) into 1 15.001 * [backup-simplify]: Simplify (sqrt 1) into 1 15.002 * [backup-simplify]: Simplify (+ 0 0) into 0 15.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.003 * [taylor]: Taking taylor expansion of 1 in J 15.003 * [backup-simplify]: Simplify 1 into 1 15.003 * [taylor]: Taking taylor expansion of 0 in J 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [taylor]: Taking taylor expansion of 1 in K 15.003 * [backup-simplify]: Simplify 1 into 1 15.003 * [backup-simplify]: Simplify 1 into 1 15.003 * [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))) 15.003 * [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)))) 15.005 * [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))) 15.005 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.005 * [taylor]: Taking taylor expansion of 1/8 in J 15.005 * [backup-simplify]: Simplify 1/8 into 1/8 15.005 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.005 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.005 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.005 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.005 * [taylor]: Taking taylor expansion of 1/2 in J 15.005 * [backup-simplify]: Simplify 1/2 into 1/2 15.005 * [taylor]: Taking taylor expansion of K in J 15.005 * [backup-simplify]: Simplify K into K 15.005 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.005 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.005 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.005 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.005 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.006 * [backup-simplify]: Simplify (- 0) into 0 15.006 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.006 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.006 * [taylor]: Taking taylor expansion of J in J 15.006 * [backup-simplify]: Simplify 0 into 0 15.006 * [backup-simplify]: Simplify 1 into 1 15.006 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.007 * [backup-simplify]: Simplify (* 1 1) into 1 15.007 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.007 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 15.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.008 * [backup-simplify]: Simplify (+ 0) into 0 15.008 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.010 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.010 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.010 * [backup-simplify]: Simplify (- 0) into 0 15.011 * [backup-simplify]: Simplify (+ 0 0) into 0 15.011 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.011 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.012 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.012 * [taylor]: Taking taylor expansion of 0 in K 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [taylor]: Taking taylor expansion of 0 in K 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [taylor]: Taking taylor expansion of 0 in K 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 0 into 0 15.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.013 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.013 * [backup-simplify]: Simplify (+ 0) into 0 15.014 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.015 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.015 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.016 * [backup-simplify]: Simplify (- 0) into 0 15.016 * [backup-simplify]: Simplify (+ 0 0) into 0 15.016 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.016 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.017 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 15.017 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.018 * [backup-simplify]: Simplify (+ 0 0) into 0 15.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.019 * [taylor]: Taking taylor expansion of 0 in J 15.019 * [backup-simplify]: Simplify 0 into 0 15.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.021 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.023 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.024 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.024 * [backup-simplify]: Simplify (- 0) into 0 15.025 * [backup-simplify]: Simplify (+ 0 0) into 0 15.026 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 15.027 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.027 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.027 * [taylor]: Taking taylor expansion of 0 in K 15.027 * [backup-simplify]: Simplify 0 into 0 15.027 * [backup-simplify]: Simplify 0 into 0 15.027 * [taylor]: Taking taylor expansion of 0 in K 15.027 * [backup-simplify]: Simplify 0 into 0 15.027 * [backup-simplify]: Simplify 0 into 0 15.027 * [backup-simplify]: Simplify 1 into 1 15.028 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 15.028 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 15.028 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.028 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.028 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.028 * [taylor]: Taking taylor expansion of 1/4 in K 15.028 * [backup-simplify]: Simplify 1/4 into 1/4 15.028 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.028 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.028 * [taylor]: Taking taylor expansion of J in K 15.028 * [backup-simplify]: Simplify J into J 15.028 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.028 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.029 * [taylor]: Taking taylor expansion of U in K 15.029 * [backup-simplify]: Simplify U into U 15.029 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.029 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.029 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.029 * [taylor]: Taking taylor expansion of 1/2 in K 15.029 * [backup-simplify]: Simplify 1/2 into 1/2 15.029 * [taylor]: Taking taylor expansion of K in K 15.029 * [backup-simplify]: Simplify 0 into 0 15.029 * [backup-simplify]: Simplify 1 into 1 15.029 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.029 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.029 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.030 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.030 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.030 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.030 * [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))) 15.030 * [taylor]: Taking taylor expansion of 1 in K 15.030 * [backup-simplify]: Simplify 1 into 1 15.030 * [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)))) 15.031 * [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) 15.031 * [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)) 15.031 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.031 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.032 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.032 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.032 * [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 15.033 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.034 * [backup-simplify]: Simplify (+ 0 0) into 0 15.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.034 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.034 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.034 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.034 * [taylor]: Taking taylor expansion of 1/4 in J 15.034 * [backup-simplify]: Simplify 1/4 into 1/4 15.034 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.034 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.034 * [taylor]: Taking taylor expansion of J in J 15.034 * [backup-simplify]: Simplify 0 into 0 15.034 * [backup-simplify]: Simplify 1 into 1 15.034 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.034 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.034 * [taylor]: Taking taylor expansion of U in J 15.034 * [backup-simplify]: Simplify U into U 15.035 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.035 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.035 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.035 * [taylor]: Taking taylor expansion of 1/2 in J 15.035 * [backup-simplify]: Simplify 1/2 into 1/2 15.035 * [taylor]: Taking taylor expansion of K in J 15.035 * [backup-simplify]: Simplify K into K 15.035 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.035 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.035 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.035 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.035 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.035 * [backup-simplify]: Simplify (- 0) into 0 15.036 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.036 * [backup-simplify]: Simplify (* 1 1) into 1 15.036 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.036 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.036 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.037 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.037 * [taylor]: Taking taylor expansion of 1 in J 15.037 * [backup-simplify]: Simplify 1 into 1 15.037 * [backup-simplify]: Simplify (+ 0 1) into 1 15.038 * [backup-simplify]: Simplify (sqrt 1) into 1 15.038 * [backup-simplify]: Simplify (+ 0 0) into 0 15.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.039 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.039 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.039 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.039 * [taylor]: Taking taylor expansion of 1/4 in U 15.039 * [backup-simplify]: Simplify 1/4 into 1/4 15.039 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.039 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.039 * [taylor]: Taking taylor expansion of J in U 15.039 * [backup-simplify]: Simplify J into J 15.039 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.039 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.039 * [taylor]: Taking taylor expansion of U in U 15.039 * [backup-simplify]: Simplify 0 into 0 15.039 * [backup-simplify]: Simplify 1 into 1 15.039 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.039 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.039 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.039 * [taylor]: Taking taylor expansion of 1/2 in U 15.039 * [backup-simplify]: Simplify 1/2 into 1/2 15.039 * [taylor]: Taking taylor expansion of K in U 15.039 * [backup-simplify]: Simplify K into K 15.039 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.039 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.039 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.040 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.040 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.040 * [backup-simplify]: Simplify (- 0) into 0 15.040 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.040 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.041 * [backup-simplify]: Simplify (* 1 1) into 1 15.041 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.041 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.041 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.041 * [taylor]: Taking taylor expansion of 1 in U 15.041 * [backup-simplify]: Simplify 1 into 1 15.041 * [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))) 15.042 * [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))) 15.042 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.042 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.042 * [backup-simplify]: Simplify (+ 0) into 0 15.043 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.043 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.044 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.045 * [backup-simplify]: Simplify (- 0) into 0 15.045 * [backup-simplify]: Simplify (+ 0 0) into 0 15.045 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.047 * [backup-simplify]: 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 15.048 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.048 * [backup-simplify]: Simplify (+ 0 0) into 0 15.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.048 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.048 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.048 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.048 * [taylor]: Taking taylor expansion of 1/4 in U 15.049 * [backup-simplify]: Simplify 1/4 into 1/4 15.049 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.049 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.049 * [taylor]: Taking taylor expansion of J in U 15.049 * [backup-simplify]: Simplify J into J 15.049 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.049 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.049 * [taylor]: Taking taylor expansion of U in U 15.049 * [backup-simplify]: Simplify 0 into 0 15.049 * [backup-simplify]: Simplify 1 into 1 15.049 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.049 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.049 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.049 * [taylor]: Taking taylor expansion of 1/2 in U 15.049 * [backup-simplify]: Simplify 1/2 into 1/2 15.049 * [taylor]: Taking taylor expansion of K in U 15.049 * [backup-simplify]: Simplify K into K 15.049 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.049 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.049 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.049 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.049 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.050 * [backup-simplify]: Simplify (- 0) into 0 15.050 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.050 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.050 * [backup-simplify]: Simplify (* 1 1) into 1 15.050 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.051 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.051 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.051 * [taylor]: Taking taylor expansion of 1 in U 15.051 * [backup-simplify]: Simplify 1 into 1 15.051 * [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))) 15.051 * [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))) 15.052 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.052 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.052 * [backup-simplify]: Simplify (+ 0) into 0 15.053 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.054 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.054 * [backup-simplify]: Simplify (- 0) into 0 15.055 * [backup-simplify]: Simplify (+ 0 0) into 0 15.055 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.057 * [backup-simplify]: 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 15.057 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.058 * [backup-simplify]: Simplify (+ 0 0) into 0 15.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.058 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 15.058 * [taylor]: Taking taylor expansion of 1/2 in J 15.058 * [backup-simplify]: Simplify 1/2 into 1/2 15.058 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 15.058 * [taylor]: Taking taylor expansion of J in J 15.058 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify 1 into 1 15.058 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.058 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.058 * [taylor]: Taking taylor expansion of 1/2 in J 15.058 * [backup-simplify]: Simplify 1/2 into 1/2 15.058 * [taylor]: Taking taylor expansion of K in J 15.058 * [backup-simplify]: Simplify K into K 15.058 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.058 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.058 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.058 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.059 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.059 * [backup-simplify]: Simplify (- 0) into 0 15.059 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.059 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.059 * [taylor]: Taking taylor expansion of 0 in J 15.059 * [backup-simplify]: Simplify 0 into 0 15.059 * [taylor]: Taking taylor expansion of 0 in K 15.059 * [backup-simplify]: Simplify 0 into 0 15.059 * [backup-simplify]: Simplify 0 into 0 15.059 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 15.059 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 15.059 * [taylor]: Taking taylor expansion of 1/2 in K 15.060 * [backup-simplify]: Simplify 1/2 into 1/2 15.060 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.060 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.060 * [taylor]: Taking taylor expansion of 1/2 in K 15.060 * [backup-simplify]: Simplify 1/2 into 1/2 15.060 * [taylor]: Taking taylor expansion of K in K 15.060 * [backup-simplify]: Simplify 0 into 0 15.060 * [backup-simplify]: Simplify 1 into 1 15.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.060 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.060 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.060 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.061 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.062 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.063 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.063 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.065 * [backup-simplify]: Simplify (- 0) into 0 15.065 * [backup-simplify]: Simplify (+ 0 0) into 0 15.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.068 * [backup-simplify]: 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 15.069 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.070 * [backup-simplify]: Simplify (+ 0 1) into 1 15.070 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.070 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.070 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.070 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.070 * [taylor]: Taking taylor expansion of 1/2 in J 15.070 * [backup-simplify]: Simplify 1/2 into 1/2 15.070 * [taylor]: Taking taylor expansion of K in J 15.070 * [backup-simplify]: Simplify K into K 15.070 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.070 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.070 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.070 * [taylor]: Taking taylor expansion of J in J 15.070 * [backup-simplify]: Simplify 0 into 0 15.070 * [backup-simplify]: Simplify 1 into 1 15.070 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.070 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.071 * [backup-simplify]: Simplify (- 0) into 0 15.071 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.071 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.071 * [backup-simplify]: Simplify (+ 0) into 0 15.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.072 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.073 * [backup-simplify]: Simplify (- 0) into 0 15.073 * [backup-simplify]: Simplify (+ 0 0) into 0 15.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.073 * [taylor]: Taking taylor expansion of 0 in K 15.073 * [backup-simplify]: Simplify 0 into 0 15.073 * [backup-simplify]: Simplify 0 into 0 15.073 * [taylor]: Taking taylor expansion of 0 in K 15.073 * [backup-simplify]: Simplify 0 into 0 15.073 * [backup-simplify]: Simplify 0 into 0 15.074 * [backup-simplify]: Simplify (+ 0) into 0 15.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.075 * [backup-simplify]: Simplify (- 0) into 0 15.075 * [backup-simplify]: Simplify (+ 0 0) into 0 15.075 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.076 * [taylor]: Taking taylor expansion of 0 in K 15.076 * [backup-simplify]: Simplify 0 into 0 15.076 * [backup-simplify]: Simplify 0 into 0 15.076 * [backup-simplify]: Simplify 0 into 0 15.076 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.076 * [backup-simplify]: Simplify 0 into 0 15.077 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.077 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.078 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.078 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.082 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.083 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.083 * [backup-simplify]: Simplify (- 0) into 0 15.083 * [backup-simplify]: Simplify (+ 0 0) into 0 15.084 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.086 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.087 * [backup-simplify]: Simplify (+ 0 0) into 0 15.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.087 * [taylor]: Taking taylor expansion of 0 in J 15.087 * [backup-simplify]: Simplify 0 into 0 15.087 * [taylor]: Taking taylor expansion of 0 in K 15.087 * [backup-simplify]: Simplify 0 into 0 15.087 * [backup-simplify]: Simplify 0 into 0 15.087 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.088 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.088 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 15.088 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.088 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.088 * [taylor]: Taking taylor expansion of 1 in K 15.088 * [backup-simplify]: Simplify 1 into 1 15.088 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.088 * [taylor]: Taking taylor expansion of 1/4 in K 15.088 * [backup-simplify]: Simplify 1/4 into 1/4 15.088 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.088 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.088 * [taylor]: Taking taylor expansion of J in K 15.088 * [backup-simplify]: Simplify J into J 15.088 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.088 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.088 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.088 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.088 * [taylor]: Taking taylor expansion of -1/2 in K 15.088 * [backup-simplify]: Simplify -1/2 into -1/2 15.088 * [taylor]: Taking taylor expansion of K in K 15.088 * [backup-simplify]: Simplify 0 into 0 15.088 * [backup-simplify]: Simplify 1 into 1 15.088 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.088 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.088 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.088 * [taylor]: Taking taylor expansion of U in K 15.088 * [backup-simplify]: Simplify U into U 15.088 * [backup-simplify]: Simplify (* J J) into (pow J 2) 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 (* U U) into (pow U 2) 15.089 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.089 * [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))) 15.089 * [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)))) 15.089 * [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))))) 15.089 * [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)))))) 15.090 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.090 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.090 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.090 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.090 * [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 15.091 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.091 * [backup-simplify]: Simplify (+ 0 0) into 0 15.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.091 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.092 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.092 * [taylor]: Taking taylor expansion of 1 in J 15.092 * [backup-simplify]: Simplify 1 into 1 15.092 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.092 * [taylor]: Taking taylor expansion of 1/4 in J 15.092 * [backup-simplify]: Simplify 1/4 into 1/4 15.092 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.092 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.092 * [taylor]: Taking taylor expansion of J in J 15.092 * [backup-simplify]: Simplify 0 into 0 15.092 * [backup-simplify]: Simplify 1 into 1 15.092 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.092 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.092 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.092 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.092 * [taylor]: Taking taylor expansion of -1/2 in J 15.092 * [backup-simplify]: Simplify -1/2 into -1/2 15.092 * [taylor]: Taking taylor expansion of K in J 15.092 * [backup-simplify]: Simplify K into K 15.092 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.092 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.092 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.092 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.092 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.093 * [backup-simplify]: Simplify (- 0) into 0 15.093 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.093 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.093 * [taylor]: Taking taylor expansion of U in J 15.093 * [backup-simplify]: Simplify U into U 15.094 * [backup-simplify]: Simplify (* 1 1) into 1 15.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.094 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.094 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.094 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.094 * [backup-simplify]: Simplify (+ 1 0) into 1 15.094 * [backup-simplify]: Simplify (sqrt 1) into 1 15.095 * [backup-simplify]: Simplify (+ 0 0) into 0 15.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.095 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.095 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.095 * [taylor]: Taking taylor expansion of 1 in U 15.095 * [backup-simplify]: Simplify 1 into 1 15.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.095 * [taylor]: Taking taylor expansion of 1/4 in U 15.095 * [backup-simplify]: Simplify 1/4 into 1/4 15.095 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.095 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.095 * [taylor]: Taking taylor expansion of J in U 15.095 * [backup-simplify]: Simplify J into J 15.095 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.095 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.095 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.095 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.096 * [taylor]: Taking taylor expansion of -1/2 in U 15.096 * [backup-simplify]: Simplify -1/2 into -1/2 15.096 * [taylor]: Taking taylor expansion of K in U 15.096 * [backup-simplify]: Simplify K into K 15.096 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.096 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.096 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.096 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.096 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.096 * [backup-simplify]: Simplify (- 0) into 0 15.096 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.096 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.096 * [taylor]: Taking taylor expansion of U in U 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [backup-simplify]: Simplify 1 into 1 15.096 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.096 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.097 * [backup-simplify]: Simplify (* 1 1) into 1 15.097 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.097 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.097 * [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))) 15.097 * [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))) 15.097 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.097 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.098 * [backup-simplify]: Simplify (+ 0) into 0 15.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.100 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.101 * [backup-simplify]: Simplify (- 0) into 0 15.101 * [backup-simplify]: Simplify (+ 0 0) into 0 15.101 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.102 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.102 * [backup-simplify]: 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 15.103 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.103 * [backup-simplify]: Simplify (+ 0 0) into 0 15.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.104 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.104 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.104 * [taylor]: Taking taylor expansion of 1 in U 15.104 * [backup-simplify]: Simplify 1 into 1 15.104 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.104 * [taylor]: Taking taylor expansion of 1/4 in U 15.104 * [backup-simplify]: Simplify 1/4 into 1/4 15.104 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.104 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.104 * [taylor]: Taking taylor expansion of J in U 15.104 * [backup-simplify]: Simplify J into J 15.104 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.104 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.104 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.104 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.104 * [taylor]: Taking taylor expansion of -1/2 in U 15.104 * [backup-simplify]: Simplify -1/2 into -1/2 15.104 * [taylor]: Taking taylor expansion of K in U 15.104 * [backup-simplify]: Simplify K into K 15.104 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.104 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.104 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.104 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.104 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.105 * [backup-simplify]: Simplify (- 0) into 0 15.105 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.105 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.105 * [taylor]: Taking taylor expansion of U in U 15.105 * [backup-simplify]: Simplify 0 into 0 15.105 * [backup-simplify]: Simplify 1 into 1 15.105 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.105 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.106 * [backup-simplify]: Simplify (* 1 1) into 1 15.106 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.106 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.106 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.106 * [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))) 15.107 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.107 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.108 * [backup-simplify]: Simplify (+ 0) into 0 15.108 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.109 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.110 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.110 * [backup-simplify]: Simplify (- 0) into 0 15.111 * [backup-simplify]: Simplify (+ 0 0) into 0 15.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.111 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.112 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.112 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.113 * [backup-simplify]: Simplify (+ 0 0) into 0 15.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 15.113 * [taylor]: Taking taylor expansion of 1/2 in J 15.113 * [backup-simplify]: Simplify 1/2 into 1/2 15.113 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 15.113 * [taylor]: Taking taylor expansion of J in J 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify 1 into 1 15.113 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.113 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.113 * [taylor]: Taking taylor expansion of -1/2 in J 15.113 * [backup-simplify]: Simplify -1/2 into -1/2 15.114 * [taylor]: Taking taylor expansion of K in J 15.114 * [backup-simplify]: Simplify K into K 15.114 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.114 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.114 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.114 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.114 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.114 * [backup-simplify]: Simplify (- 0) into 0 15.114 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.115 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.115 * [taylor]: Taking taylor expansion of 0 in J 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [taylor]: Taking taylor expansion of 0 in K 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 15.115 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -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 (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 15.116 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.116 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.116 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.116 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.116 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.119 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.119 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.120 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.120 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.121 * [backup-simplify]: Simplify (- 0) into 0 15.121 * [backup-simplify]: Simplify (+ 0 0) into 0 15.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.123 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.123 * [backup-simplify]: 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 15.124 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.125 * [backup-simplify]: Simplify (+ 1 0) into 1 15.126 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.126 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.126 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.126 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.126 * [taylor]: Taking taylor expansion of -1/2 in J 15.126 * [backup-simplify]: Simplify -1/2 into -1/2 15.126 * [taylor]: Taking taylor expansion of K in J 15.126 * [backup-simplify]: Simplify K into K 15.126 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.126 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.126 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.126 * [taylor]: Taking taylor expansion of J in J 15.126 * [backup-simplify]: Simplify 0 into 0 15.126 * [backup-simplify]: Simplify 1 into 1 15.126 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.126 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.127 * [backup-simplify]: Simplify (- 0) into 0 15.127 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.127 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.127 * [backup-simplify]: Simplify (+ 0) into 0 15.128 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.128 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.129 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.130 * [backup-simplify]: Simplify (- 0) into 0 15.130 * [backup-simplify]: Simplify (+ 0 0) into 0 15.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.131 * [taylor]: Taking taylor expansion of 0 in K 15.131 * [backup-simplify]: Simplify 0 into 0 15.131 * [backup-simplify]: Simplify 0 into 0 15.131 * [taylor]: Taking taylor expansion of 0 in K 15.131 * [backup-simplify]: Simplify 0 into 0 15.131 * [backup-simplify]: Simplify 0 into 0 15.131 * [backup-simplify]: Simplify (+ 0) into 0 15.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.132 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.133 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.133 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.134 * [backup-simplify]: Simplify (- 0) into 0 15.134 * [backup-simplify]: Simplify (+ 0 0) into 0 15.134 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 15.135 * [taylor]: Taking taylor expansion of 0 in K 15.135 * [backup-simplify]: Simplify 0 into 0 15.135 * [backup-simplify]: Simplify 0 into 0 15.135 * [backup-simplify]: Simplify 0 into 0 15.135 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.135 * [backup-simplify]: Simplify 0 into 0 15.136 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.138 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.139 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.139 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.141 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.142 * [backup-simplify]: Simplify (- 0) into 0 15.142 * [backup-simplify]: Simplify (+ 0 0) into 0 15.143 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 15.144 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.145 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.146 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.146 * [backup-simplify]: Simplify (+ 0 0) into 0 15.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.147 * [taylor]: Taking taylor expansion of 0 in J 15.147 * [backup-simplify]: Simplify 0 into 0 15.147 * [taylor]: Taking taylor expansion of 0 in K 15.147 * [backup-simplify]: Simplify 0 into 0 15.147 * [backup-simplify]: Simplify 0 into 0 15.147 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.147 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 15.148 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 15.148 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 15.148 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.148 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.148 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.148 * [taylor]: Taking taylor expansion of 1/4 in K 15.148 * [backup-simplify]: Simplify 1/4 into 1/4 15.148 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.148 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.148 * [taylor]: Taking taylor expansion of U in K 15.148 * [backup-simplify]: Simplify U into U 15.148 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.148 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.148 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.148 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.148 * [taylor]: Taking taylor expansion of 1/2 in K 15.148 * [backup-simplify]: Simplify 1/2 into 1/2 15.148 * [taylor]: Taking taylor expansion of K in K 15.148 * [backup-simplify]: Simplify 0 into 0 15.148 * [backup-simplify]: Simplify 1 into 1 15.149 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.150 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.150 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.150 * [taylor]: Taking taylor expansion of J in K 15.150 * [backup-simplify]: Simplify J into J 15.150 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.150 * [backup-simplify]: Simplify (* 1 1) into 1 15.151 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.151 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.151 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.151 * [taylor]: Taking taylor expansion of 1 in K 15.151 * [backup-simplify]: Simplify 1 into 1 15.151 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.152 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.152 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.152 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.152 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.153 * [backup-simplify]: Simplify (+ 0) into 0 15.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.154 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.155 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.155 * [backup-simplify]: Simplify (+ 0 0) into 0 15.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.156 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.156 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.156 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.156 * [taylor]: Taking taylor expansion of 1/4 in J 15.156 * [backup-simplify]: Simplify 1/4 into 1/4 15.156 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.156 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.156 * [taylor]: Taking taylor expansion of U in J 15.156 * [backup-simplify]: Simplify U into U 15.156 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.156 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.156 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.156 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.156 * [taylor]: Taking taylor expansion of 1/2 in J 15.156 * [backup-simplify]: Simplify 1/2 into 1/2 15.156 * [taylor]: Taking taylor expansion of K in J 15.156 * [backup-simplify]: Simplify K into K 15.156 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.156 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.156 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.156 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.156 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.157 * [backup-simplify]: Simplify (- 0) into 0 15.157 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.157 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.157 * [taylor]: Taking taylor expansion of J in J 15.157 * [backup-simplify]: Simplify 0 into 0 15.157 * [backup-simplify]: Simplify 1 into 1 15.157 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.157 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.158 * [backup-simplify]: Simplify (* 1 1) into 1 15.158 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.158 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.158 * [taylor]: Taking taylor expansion of 1 in J 15.158 * [backup-simplify]: Simplify 1 into 1 15.158 * [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))) 15.158 * [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))) 15.159 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.159 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.160 * [backup-simplify]: Simplify (+ 0) into 0 15.160 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.162 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.163 * [backup-simplify]: Simplify (- 0) into 0 15.163 * [backup-simplify]: Simplify (+ 0 0) into 0 15.163 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.164 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.164 * [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 15.165 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.165 * [backup-simplify]: Simplify (+ 0 0) into 0 15.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.166 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.166 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.166 * [taylor]: Taking taylor expansion of 1/4 in U 15.166 * [backup-simplify]: Simplify 1/4 into 1/4 15.166 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.166 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.166 * [taylor]: Taking taylor expansion of U in U 15.166 * [backup-simplify]: Simplify 0 into 0 15.166 * [backup-simplify]: Simplify 1 into 1 15.166 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.166 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.166 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.166 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.166 * [taylor]: Taking taylor expansion of 1/2 in U 15.166 * [backup-simplify]: Simplify 1/2 into 1/2 15.166 * [taylor]: Taking taylor expansion of K in U 15.166 * [backup-simplify]: Simplify K into K 15.166 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.166 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.166 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.166 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.166 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.167 * [backup-simplify]: Simplify (- 0) into 0 15.167 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.167 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.167 * [taylor]: Taking taylor expansion of J in U 15.167 * [backup-simplify]: Simplify J into J 15.167 * [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 (* J J) into (pow J 2) 15.168 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.168 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.168 * [taylor]: Taking taylor expansion of 1 in U 15.168 * [backup-simplify]: Simplify 1 into 1 15.169 * [backup-simplify]: Simplify (+ 0 1) 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 (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.170 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.170 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.170 * [taylor]: Taking taylor expansion of 1/4 in U 15.170 * [backup-simplify]: Simplify 1/4 into 1/4 15.170 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.170 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.170 * [taylor]: Taking taylor expansion of U in U 15.170 * [backup-simplify]: Simplify 0 into 0 15.170 * [backup-simplify]: Simplify 1 into 1 15.170 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.170 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.170 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.170 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.170 * [taylor]: Taking taylor expansion of 1/2 in U 15.170 * [backup-simplify]: Simplify 1/2 into 1/2 15.170 * [taylor]: Taking taylor expansion of K in U 15.171 * [backup-simplify]: Simplify K into K 15.171 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.171 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.171 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.171 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.171 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.171 * [backup-simplify]: Simplify (- 0) into 0 15.171 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.171 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.171 * [taylor]: Taking taylor expansion of J in U 15.171 * [backup-simplify]: Simplify J into J 15.172 * [backup-simplify]: Simplify (* 1 1) into 1 15.172 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.172 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.172 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.172 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.172 * [taylor]: Taking taylor expansion of 1 in U 15.172 * [backup-simplify]: Simplify 1 into 1 15.173 * [backup-simplify]: Simplify (+ 0 1) into 1 15.173 * [backup-simplify]: Simplify (sqrt 1) into 1 15.174 * [backup-simplify]: Simplify (+ 0 0) into 0 15.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.174 * [taylor]: Taking taylor expansion of 1 in J 15.174 * [backup-simplify]: Simplify 1 into 1 15.174 * [taylor]: Taking taylor expansion of 0 in J 15.174 * [backup-simplify]: Simplify 0 into 0 15.174 * [taylor]: Taking taylor expansion of 1 in K 15.175 * [backup-simplify]: Simplify 1 into 1 15.175 * [backup-simplify]: Simplify 1 into 1 15.175 * [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))) 15.175 * [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)))) 15.176 * [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))) 15.176 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.176 * [taylor]: Taking taylor expansion of 1/8 in J 15.176 * [backup-simplify]: Simplify 1/8 into 1/8 15.177 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.177 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.177 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.177 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.177 * [taylor]: Taking taylor expansion of 1/2 in J 15.177 * [backup-simplify]: Simplify 1/2 into 1/2 15.177 * [taylor]: Taking taylor expansion of K in J 15.177 * [backup-simplify]: Simplify K into K 15.177 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.177 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.177 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.177 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.177 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.178 * [backup-simplify]: Simplify (- 0) into 0 15.178 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.178 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.178 * [taylor]: Taking taylor expansion of J in J 15.178 * [backup-simplify]: Simplify 0 into 0 15.178 * [backup-simplify]: Simplify 1 into 1 15.178 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.178 * [backup-simplify]: Simplify (* 1 1) into 1 15.179 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.179 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 15.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.180 * [backup-simplify]: Simplify (+ 0) into 0 15.180 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.182 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.182 * [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)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.184 * [taylor]: Taking taylor expansion of 0 in K 15.184 * [backup-simplify]: Simplify 0 into 0 15.184 * [backup-simplify]: Simplify 0 into 0 15.184 * [taylor]: Taking taylor expansion of 0 in K 15.184 * [backup-simplify]: Simplify 0 into 0 15.184 * [backup-simplify]: Simplify 0 into 0 15.184 * [taylor]: Taking taylor expansion of 0 in K 15.184 * [backup-simplify]: Simplify 0 into 0 15.184 * [backup-simplify]: Simplify 0 into 0 15.184 * [backup-simplify]: Simplify 0 into 0 15.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.185 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.185 * [backup-simplify]: Simplify (+ 0) into 0 15.186 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.187 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.188 * [backup-simplify]: Simplify (- 0) into 0 15.188 * [backup-simplify]: Simplify (+ 0 0) into 0 15.188 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.188 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.189 * [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 15.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.190 * [backup-simplify]: Simplify (+ 0 0) into 0 15.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.191 * [taylor]: Taking taylor expansion of 0 in J 15.191 * [backup-simplify]: Simplify 0 into 0 15.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.193 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.193 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.195 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.196 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.196 * [backup-simplify]: Simplify (- 0) into 0 15.196 * [backup-simplify]: Simplify (+ 0 0) into 0 15.197 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 15.198 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.198 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.198 * [taylor]: Taking taylor expansion of 0 in K 15.198 * [backup-simplify]: Simplify 0 into 0 15.198 * [backup-simplify]: Simplify 0 into 0 15.198 * [taylor]: Taking taylor expansion of 0 in K 15.198 * [backup-simplify]: Simplify 0 into 0 15.198 * [backup-simplify]: Simplify 0 into 0 15.198 * [backup-simplify]: Simplify 1 into 1 15.199 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 15.199 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 15.199 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.199 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.199 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.199 * [taylor]: Taking taylor expansion of 1/4 in K 15.199 * [backup-simplify]: Simplify 1/4 into 1/4 15.199 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.199 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.199 * [taylor]: Taking taylor expansion of J in K 15.199 * [backup-simplify]: Simplify J into J 15.199 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.199 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.199 * [taylor]: Taking taylor expansion of U in K 15.199 * [backup-simplify]: Simplify U into U 15.199 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.199 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.199 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.199 * [taylor]: Taking taylor expansion of 1/2 in K 15.199 * [backup-simplify]: Simplify 1/2 into 1/2 15.199 * [taylor]: Taking taylor expansion of K in K 15.200 * [backup-simplify]: Simplify 0 into 0 15.200 * [backup-simplify]: Simplify 1 into 1 15.200 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.200 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.200 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.200 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.200 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.201 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.201 * [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))) 15.201 * [taylor]: Taking taylor expansion of 1 in K 15.201 * [backup-simplify]: Simplify 1 into 1 15.201 * [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)))) 15.202 * [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) 15.202 * [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)) 15.202 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.202 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.203 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.203 * [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 15.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.204 * [backup-simplify]: Simplify (+ 0 0) into 0 15.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.205 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.205 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.205 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.205 * [taylor]: Taking taylor expansion of 1/4 in J 15.205 * [backup-simplify]: Simplify 1/4 into 1/4 15.205 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.205 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.205 * [taylor]: Taking taylor expansion of J in J 15.205 * [backup-simplify]: Simplify 0 into 0 15.205 * [backup-simplify]: Simplify 1 into 1 15.205 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.205 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.205 * [taylor]: Taking taylor expansion of U in J 15.205 * [backup-simplify]: Simplify U into U 15.205 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.205 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.205 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.205 * [taylor]: Taking taylor expansion of 1/2 in J 15.205 * [backup-simplify]: Simplify 1/2 into 1/2 15.205 * [taylor]: Taking taylor expansion of K in J 15.205 * [backup-simplify]: Simplify K into K 15.206 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.206 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.206 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.206 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.206 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.206 * [backup-simplify]: Simplify (- 0) into 0 15.206 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.207 * [backup-simplify]: Simplify (* 1 1) into 1 15.207 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.207 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.207 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.207 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.207 * [taylor]: Taking taylor expansion of 1 in J 15.207 * [backup-simplify]: Simplify 1 into 1 15.208 * [backup-simplify]: Simplify (+ 0 1) into 1 15.208 * [backup-simplify]: Simplify (sqrt 1) into 1 15.209 * [backup-simplify]: Simplify (+ 0 0) into 0 15.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.210 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.210 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.210 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.210 * [taylor]: Taking taylor expansion of 1/4 in U 15.210 * [backup-simplify]: Simplify 1/4 into 1/4 15.210 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.210 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.210 * [taylor]: Taking taylor expansion of J in U 15.210 * [backup-simplify]: Simplify J into J 15.210 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.210 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.210 * [taylor]: Taking taylor expansion of U in U 15.210 * [backup-simplify]: Simplify 0 into 0 15.210 * [backup-simplify]: Simplify 1 into 1 15.210 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.210 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.210 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.210 * [taylor]: Taking taylor expansion of 1/2 in U 15.210 * [backup-simplify]: Simplify 1/2 into 1/2 15.211 * [taylor]: Taking taylor expansion of K in U 15.211 * [backup-simplify]: Simplify K into K 15.211 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.211 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.211 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.211 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.211 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.212 * [backup-simplify]: Simplify (- 0) into 0 15.212 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.212 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.212 * [backup-simplify]: Simplify (* 1 1) into 1 15.213 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.213 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.213 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.213 * [taylor]: Taking taylor expansion of 1 in U 15.213 * [backup-simplify]: Simplify 1 into 1 15.213 * [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))) 15.213 * [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))) 15.214 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.214 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.214 * [backup-simplify]: Simplify (+ 0) into 0 15.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.217 * [backup-simplify]: Simplify (- 0) into 0 15.217 * [backup-simplify]: Simplify (+ 0 0) into 0 15.217 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.219 * [backup-simplify]: 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 15.220 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.220 * [backup-simplify]: Simplify (+ 0 0) into 0 15.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.220 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.220 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 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 J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.220 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.220 * [taylor]: Taking taylor expansion of J in U 15.220 * [backup-simplify]: Simplify J into J 15.221 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.221 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.221 * [taylor]: Taking taylor expansion of U in U 15.221 * [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) 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 15.222 * [backup-simplify]: Simplify (- 0) into 0 15.222 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.222 * [backup-simplify]: Simplify (* J J) into (pow J 2) 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 (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.223 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.223 * [taylor]: Taking taylor expansion of 1 in U 15.223 * [backup-simplify]: Simplify 1 into 1 15.223 * [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))) 15.223 * [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))) 15.223 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.223 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.224 * [backup-simplify]: Simplify (+ 0) into 0 15.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.224 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.226 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.226 * [backup-simplify]: Simplify (- 0) into 0 15.226 * [backup-simplify]: Simplify (+ 0 0) into 0 15.227 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.228 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.234 * [backup-simplify]: Simplify (+ 0 0) into 0 15.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 15.235 * [taylor]: Taking taylor expansion of 1/2 in J 15.235 * [backup-simplify]: Simplify 1/2 into 1/2 15.235 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 15.235 * [taylor]: Taking taylor expansion of J in J 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 1 into 1 15.235 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.235 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.235 * [taylor]: Taking taylor expansion of 1/2 in J 15.235 * [backup-simplify]: Simplify 1/2 into 1/2 15.235 * [taylor]: Taking taylor expansion of K in J 15.235 * [backup-simplify]: Simplify K into K 15.235 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.235 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.235 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.235 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.235 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.236 * [backup-simplify]: Simplify (- 0) into 0 15.236 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.236 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 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 K 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 15.236 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 15.236 * [taylor]: Taking taylor expansion of 1/2 in K 15.236 * [backup-simplify]: Simplify 1/2 into 1/2 15.236 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.236 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.236 * [taylor]: Taking taylor expansion of 1/2 in K 15.236 * [backup-simplify]: Simplify 1/2 into 1/2 15.236 * [taylor]: Taking taylor expansion of K in K 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify 1 into 1 15.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.237 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.237 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.237 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.238 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.239 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.240 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.240 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.241 * [backup-simplify]: Simplify (- 0) into 0 15.242 * [backup-simplify]: Simplify (+ 0 0) into 0 15.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.244 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.245 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.246 * [backup-simplify]: Simplify (+ 0 1) into 1 15.247 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.247 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.247 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.247 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.247 * [taylor]: Taking taylor expansion of 1/2 in J 15.247 * [backup-simplify]: Simplify 1/2 into 1/2 15.247 * [taylor]: Taking taylor expansion of K in J 15.247 * [backup-simplify]: Simplify K into K 15.247 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.247 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.247 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.247 * [taylor]: Taking taylor expansion of J in J 15.247 * [backup-simplify]: Simplify 0 into 0 15.247 * [backup-simplify]: Simplify 1 into 1 15.247 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.247 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.248 * [backup-simplify]: Simplify (- 0) into 0 15.248 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.248 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.248 * [backup-simplify]: Simplify (+ 0) into 0 15.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.249 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.250 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.251 * [backup-simplify]: Simplify (- 0) into 0 15.251 * [backup-simplify]: Simplify (+ 0 0) into 0 15.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.252 * [taylor]: Taking taylor expansion of 0 in K 15.252 * [backup-simplify]: Simplify 0 into 0 15.252 * [backup-simplify]: Simplify 0 into 0 15.252 * [taylor]: Taking taylor expansion of 0 in K 15.252 * [backup-simplify]: Simplify 0 into 0 15.252 * [backup-simplify]: Simplify 0 into 0 15.252 * [backup-simplify]: Simplify (+ 0) into 0 15.253 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.253 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.254 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.255 * [backup-simplify]: Simplify (- 0) into 0 15.255 * [backup-simplify]: Simplify (+ 0 0) into 0 15.255 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.256 * [taylor]: Taking taylor expansion of 0 in K 15.256 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.256 * [backup-simplify]: Simplify 0 into 0 15.257 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.258 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.259 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.259 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.261 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.261 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.262 * [backup-simplify]: Simplify (- 0) into 0 15.262 * [backup-simplify]: Simplify (+ 0 0) into 0 15.263 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.267 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.268 * [backup-simplify]: Simplify (+ 0 0) into 0 15.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.268 * [taylor]: Taking taylor expansion of 0 in J 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [taylor]: Taking taylor expansion of 0 in K 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.269 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.269 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 15.269 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.269 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.269 * [taylor]: Taking taylor expansion of 1 in K 15.269 * [backup-simplify]: Simplify 1 into 1 15.269 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.269 * [taylor]: Taking taylor expansion of 1/4 in K 15.269 * [backup-simplify]: Simplify 1/4 into 1/4 15.269 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.269 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.269 * [taylor]: Taking taylor expansion of J in K 15.270 * [backup-simplify]: Simplify J into J 15.270 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.270 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.270 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.270 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.270 * [taylor]: Taking taylor expansion of -1/2 in K 15.270 * [backup-simplify]: Simplify -1/2 into -1/2 15.270 * [taylor]: Taking taylor expansion of K in K 15.270 * [backup-simplify]: Simplify 0 into 0 15.270 * [backup-simplify]: Simplify 1 into 1 15.270 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.270 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.270 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.270 * [taylor]: Taking taylor expansion of U in K 15.270 * [backup-simplify]: Simplify U into U 15.271 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.271 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.271 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.271 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.271 * [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))) 15.271 * [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)))) 15.272 * [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))))) 15.272 * [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)))))) 15.272 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.272 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.273 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.273 * [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 15.274 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.275 * [backup-simplify]: Simplify (+ 0 0) into 0 15.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.275 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.275 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.275 * [taylor]: Taking taylor expansion of 1 in J 15.275 * [backup-simplify]: Simplify 1 into 1 15.275 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.275 * [taylor]: Taking taylor expansion of 1/4 in J 15.275 * [backup-simplify]: Simplify 1/4 into 1/4 15.275 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.276 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.276 * [taylor]: Taking taylor expansion of J in J 15.276 * [backup-simplify]: Simplify 0 into 0 15.276 * [backup-simplify]: Simplify 1 into 1 15.276 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.276 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.276 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.276 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.276 * [taylor]: Taking taylor expansion of -1/2 in J 15.276 * [backup-simplify]: Simplify -1/2 into -1/2 15.276 * [taylor]: Taking taylor expansion of K in J 15.276 * [backup-simplify]: Simplify K into K 15.276 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.276 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.276 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.276 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.276 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.277 * [backup-simplify]: Simplify (- 0) into 0 15.277 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.277 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.277 * [taylor]: Taking taylor expansion of U in J 15.277 * [backup-simplify]: Simplify U into U 15.277 * [backup-simplify]: Simplify (* 1 1) into 1 15.277 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.278 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.278 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.278 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.278 * [backup-simplify]: Simplify (+ 1 0) into 1 15.279 * [backup-simplify]: Simplify (sqrt 1) into 1 15.279 * [backup-simplify]: Simplify (+ 0 0) into 0 15.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.280 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.280 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.280 * [taylor]: Taking taylor expansion of 1 in U 15.280 * [backup-simplify]: Simplify 1 into 1 15.280 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.280 * [taylor]: Taking taylor expansion of 1/4 in U 15.280 * [backup-simplify]: Simplify 1/4 into 1/4 15.280 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.280 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.280 * [taylor]: Taking taylor expansion of J in U 15.280 * [backup-simplify]: Simplify J into J 15.280 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.280 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.281 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.281 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.281 * [taylor]: Taking taylor expansion of -1/2 in U 15.281 * [backup-simplify]: Simplify -1/2 into -1/2 15.281 * [taylor]: Taking taylor expansion of K in U 15.281 * [backup-simplify]: Simplify K into K 15.281 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.281 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.281 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.281 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.281 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.282 * [backup-simplify]: Simplify (- 0) into 0 15.282 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.282 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.282 * [taylor]: Taking taylor expansion of U in U 15.282 * [backup-simplify]: Simplify 0 into 0 15.282 * [backup-simplify]: Simplify 1 into 1 15.282 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.282 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.282 * [backup-simplify]: Simplify (* 1 1) into 1 15.283 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.283 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.283 * [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))) 15.283 * [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))) 15.283 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.284 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.285 * [backup-simplify]: Simplify (+ 0) into 0 15.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.286 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.287 * [backup-simplify]: Simplify (- 0) into 0 15.288 * [backup-simplify]: Simplify (+ 0 0) into 0 15.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.289 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) 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))))) into 0 15.290 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.290 * [backup-simplify]: Simplify (+ 0 0) into 0 15.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.290 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.290 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.290 * [taylor]: Taking taylor expansion of 1 in U 15.290 * [backup-simplify]: Simplify 1 into 1 15.290 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.290 * [taylor]: Taking taylor expansion of 1/4 in U 15.290 * [backup-simplify]: Simplify 1/4 into 1/4 15.290 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.290 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.290 * [taylor]: Taking taylor expansion of J in U 15.290 * [backup-simplify]: Simplify J into J 15.290 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.290 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.290 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.290 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.290 * [taylor]: Taking taylor expansion of -1/2 in U 15.290 * [backup-simplify]: Simplify -1/2 into -1/2 15.290 * [taylor]: Taking taylor expansion of K in U 15.291 * [backup-simplify]: Simplify K into K 15.291 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.291 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.291 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.291 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.291 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.291 * [backup-simplify]: Simplify (- 0) into 0 15.291 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.291 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.291 * [taylor]: Taking taylor expansion of U in U 15.291 * [backup-simplify]: Simplify 0 into 0 15.291 * [backup-simplify]: Simplify 1 into 1 15.291 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.291 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.292 * [backup-simplify]: Simplify (* 1 1) into 1 15.292 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.292 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.292 * [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))) 15.292 * [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))) 15.292 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.292 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.293 * [backup-simplify]: Simplify (+ 0) into 0 15.293 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.293 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.294 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.294 * [backup-simplify]: Simplify (- 0) into 0 15.295 * [backup-simplify]: Simplify (+ 0 0) into 0 15.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.295 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.295 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.296 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.296 * [backup-simplify]: Simplify (+ 0 0) into 0 15.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 15.296 * [taylor]: Taking taylor expansion of 1/2 in J 15.296 * [backup-simplify]: Simplify 1/2 into 1/2 15.296 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 15.296 * [taylor]: Taking taylor expansion of J in J 15.296 * [backup-simplify]: Simplify 0 into 0 15.296 * [backup-simplify]: Simplify 1 into 1 15.296 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.296 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.296 * [taylor]: Taking taylor expansion of -1/2 in J 15.296 * [backup-simplify]: Simplify -1/2 into -1/2 15.296 * [taylor]: Taking taylor expansion of K in J 15.297 * [backup-simplify]: Simplify K into K 15.297 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.297 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.297 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.297 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.297 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.297 * [backup-simplify]: Simplify (- 0) into 0 15.297 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.297 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.297 * [taylor]: Taking taylor expansion of 0 in J 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [taylor]: Taking taylor expansion of 0 in K 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 15.297 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 15.297 * [taylor]: Taking taylor expansion of 1/2 in K 15.297 * [backup-simplify]: Simplify 1/2 into 1/2 15.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.297 * [taylor]: Taking taylor expansion of -1/2 in K 15.297 * [backup-simplify]: Simplify -1/2 into -1/2 15.297 * [taylor]: Taking taylor expansion of K in K 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify 1 into 1 15.298 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.298 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.298 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.298 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.299 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.300 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.300 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.301 * [backup-simplify]: Simplify (- 0) into 0 15.301 * [backup-simplify]: Simplify (+ 0 0) into 0 15.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.302 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.302 * [backup-simplify]: 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 15.303 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.303 * [backup-simplify]: Simplify (+ 1 0) into 1 15.304 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.304 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.304 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.304 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.304 * [taylor]: Taking taylor expansion of -1/2 in J 15.304 * [backup-simplify]: Simplify -1/2 into -1/2 15.304 * [taylor]: Taking taylor expansion of K in J 15.304 * [backup-simplify]: Simplify K into K 15.304 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.304 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.304 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.304 * [taylor]: Taking taylor expansion of J in J 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify 1 into 1 15.304 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.304 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.304 * [backup-simplify]: Simplify (- 0) into 0 15.304 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.304 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.305 * [backup-simplify]: Simplify (+ 0) into 0 15.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.305 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.306 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.306 * [backup-simplify]: Simplify (- 0) into 0 15.306 * [backup-simplify]: Simplify (+ 0 0) into 0 15.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.307 * [taylor]: Taking taylor expansion of 0 in K 15.307 * [backup-simplify]: Simplify 0 into 0 15.307 * [backup-simplify]: Simplify 0 into 0 15.307 * [taylor]: Taking taylor expansion of 0 in K 15.307 * [backup-simplify]: Simplify 0 into 0 15.307 * [backup-simplify]: Simplify 0 into 0 15.307 * [backup-simplify]: Simplify (+ 0) into 0 15.308 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.308 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.308 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.309 * [backup-simplify]: Simplify (- 0) into 0 15.309 * [backup-simplify]: Simplify (+ 0 0) into 0 15.309 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 15.309 * [taylor]: Taking taylor expansion of 0 in K 15.309 * [backup-simplify]: Simplify 0 into 0 15.309 * [backup-simplify]: Simplify 0 into 0 15.309 * [backup-simplify]: Simplify 0 into 0 15.310 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.310 * [backup-simplify]: Simplify 0 into 0 15.310 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.311 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.312 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.313 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.313 * [backup-simplify]: Simplify (- 0) into 0 15.314 * [backup-simplify]: Simplify (+ 0 0) into 0 15.314 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 15.315 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.315 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.316 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.316 * [backup-simplify]: Simplify (+ 0 0) into 0 15.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.316 * [taylor]: Taking taylor expansion of 0 in J 15.316 * [backup-simplify]: Simplify 0 into 0 15.316 * [taylor]: Taking taylor expansion of 0 in K 15.316 * [backup-simplify]: Simplify 0 into 0 15.316 * [backup-simplify]: Simplify 0 into 0 15.317 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.317 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 15.317 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 15.317 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 15.317 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.317 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.317 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.317 * [taylor]: Taking taylor expansion of 1/4 in K 15.317 * [backup-simplify]: Simplify 1/4 into 1/4 15.317 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.317 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.317 * [taylor]: Taking taylor expansion of U in K 15.317 * [backup-simplify]: Simplify U into U 15.317 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.317 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.317 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.317 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.317 * [taylor]: Taking taylor expansion of 1/2 in K 15.317 * [backup-simplify]: Simplify 1/2 into 1/2 15.317 * [taylor]: Taking taylor expansion of K in K 15.317 * [backup-simplify]: Simplify 0 into 0 15.317 * [backup-simplify]: Simplify 1 into 1 15.317 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.318 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.318 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.318 * [taylor]: Taking taylor expansion of J in K 15.318 * [backup-simplify]: Simplify J into J 15.318 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.318 * [backup-simplify]: Simplify (* 1 1) into 1 15.318 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.318 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.318 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.318 * [taylor]: Taking taylor expansion of 1 in K 15.319 * [backup-simplify]: Simplify 1 into 1 15.319 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.319 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.319 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.319 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.319 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.319 * [backup-simplify]: Simplify (+ 0) into 0 15.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.320 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.320 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.321 * [backup-simplify]: Simplify (+ 0 0) into 0 15.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.321 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.321 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.321 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.321 * [taylor]: Taking taylor expansion of 1/4 in J 15.321 * [backup-simplify]: Simplify 1/4 into 1/4 15.321 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.321 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.321 * [taylor]: Taking taylor expansion of U in J 15.321 * [backup-simplify]: Simplify U into U 15.321 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.321 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.321 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.321 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.321 * [taylor]: Taking taylor expansion of 1/2 in J 15.321 * [backup-simplify]: Simplify 1/2 into 1/2 15.321 * [taylor]: Taking taylor expansion of K in J 15.321 * [backup-simplify]: Simplify K into K 15.321 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.321 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.321 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.321 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.322 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.322 * [backup-simplify]: Simplify (- 0) into 0 15.322 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.322 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.322 * [taylor]: Taking taylor expansion of J in J 15.322 * [backup-simplify]: Simplify 0 into 0 15.322 * [backup-simplify]: Simplify 1 into 1 15.322 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.322 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.323 * [backup-simplify]: Simplify (* 1 1) into 1 15.323 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.323 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.323 * [taylor]: Taking taylor expansion of 1 in J 15.323 * [backup-simplify]: Simplify 1 into 1 15.323 * [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))) 15.324 * [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))) 15.324 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.324 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.325 * [backup-simplify]: Simplify (+ 0) into 0 15.325 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.327 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.327 * [backup-simplify]: Simplify (- 0) into 0 15.328 * [backup-simplify]: Simplify (+ 0 0) into 0 15.328 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.329 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.329 * [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 15.330 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.330 * [backup-simplify]: Simplify (+ 0 0) into 0 15.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.330 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.330 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.330 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.330 * [taylor]: Taking taylor expansion of 1/4 in U 15.330 * [backup-simplify]: Simplify 1/4 into 1/4 15.330 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.330 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.330 * [taylor]: Taking taylor expansion of U in U 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify 1 into 1 15.331 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.331 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.331 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.331 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.331 * [taylor]: Taking taylor expansion of 1/2 in U 15.331 * [backup-simplify]: Simplify 1/2 into 1/2 15.331 * [taylor]: Taking taylor expansion of K in U 15.331 * [backup-simplify]: Simplify K into K 15.331 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.331 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.331 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.331 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.331 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.331 * [backup-simplify]: Simplify (- 0) into 0 15.332 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.332 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.332 * [taylor]: Taking taylor expansion of J in U 15.332 * [backup-simplify]: Simplify J into J 15.332 * [backup-simplify]: Simplify (* 1 1) into 1 15.332 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.332 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.332 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.333 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.333 * [taylor]: Taking taylor expansion of 1 in U 15.333 * [backup-simplify]: Simplify 1 into 1 15.333 * [backup-simplify]: Simplify (+ 0 1) into 1 15.333 * [backup-simplify]: Simplify (sqrt 1) into 1 15.334 * [backup-simplify]: Simplify (+ 0 0) into 0 15.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.335 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.335 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.335 * [taylor]: Taking taylor expansion of 1/4 in U 15.335 * [backup-simplify]: Simplify 1/4 into 1/4 15.335 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.335 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.335 * [taylor]: Taking taylor expansion of U in U 15.335 * [backup-simplify]: Simplify 0 into 0 15.335 * [backup-simplify]: Simplify 1 into 1 15.335 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.335 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.335 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.335 * [taylor]: Taking taylor expansion of 1/2 in U 15.335 * [backup-simplify]: Simplify 1/2 into 1/2 15.335 * [taylor]: Taking taylor expansion of K in U 15.335 * [backup-simplify]: Simplify K into K 15.335 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.335 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.335 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.335 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.335 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.336 * [backup-simplify]: Simplify (- 0) into 0 15.336 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.336 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.336 * [taylor]: Taking taylor expansion of J in U 15.336 * [backup-simplify]: Simplify J into J 15.336 * [backup-simplify]: Simplify (* 1 1) into 1 15.336 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.336 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.337 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.337 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.337 * [taylor]: Taking taylor expansion of 1 in U 15.337 * [backup-simplify]: Simplify 1 into 1 15.337 * [backup-simplify]: Simplify (+ 0 1) into 1 15.338 * [backup-simplify]: Simplify (sqrt 1) into 1 15.338 * [backup-simplify]: Simplify (+ 0 0) into 0 15.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.339 * [taylor]: Taking taylor expansion of 1 in J 15.339 * [backup-simplify]: Simplify 1 into 1 15.339 * [taylor]: Taking taylor expansion of 0 in J 15.339 * [backup-simplify]: Simplify 0 into 0 15.339 * [taylor]: Taking taylor expansion of 1 in K 15.339 * [backup-simplify]: Simplify 1 into 1 15.339 * [backup-simplify]: Simplify 1 into 1 15.339 * [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))) 15.340 * [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)))) 15.341 * [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))) 15.341 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.341 * [taylor]: Taking taylor expansion of 1/8 in J 15.341 * [backup-simplify]: Simplify 1/8 into 1/8 15.341 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.341 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.341 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.341 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.341 * [taylor]: Taking taylor expansion of 1/2 in J 15.341 * [backup-simplify]: Simplify 1/2 into 1/2 15.341 * [taylor]: Taking taylor expansion of K in J 15.341 * [backup-simplify]: Simplify K into K 15.341 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.341 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.341 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.342 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.342 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.342 * [backup-simplify]: Simplify (- 0) into 0 15.342 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.342 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.342 * [taylor]: Taking taylor expansion of J in J 15.342 * [backup-simplify]: Simplify 0 into 0 15.342 * [backup-simplify]: Simplify 1 into 1 15.342 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.343 * [backup-simplify]: Simplify (* 1 1) into 1 15.343 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.343 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 15.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.344 * [backup-simplify]: Simplify (+ 0) into 0 15.345 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.346 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 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 (cos (* 1/2 K)))) into 0 15.347 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.348 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.348 * [taylor]: Taking taylor expansion of 0 in K 15.348 * [backup-simplify]: Simplify 0 into 0 15.348 * [backup-simplify]: Simplify 0 into 0 15.348 * [taylor]: Taking taylor expansion of 0 in K 15.348 * [backup-simplify]: Simplify 0 into 0 15.348 * [backup-simplify]: Simplify 0 into 0 15.348 * [taylor]: Taking taylor expansion of 0 in K 15.348 * [backup-simplify]: Simplify 0 into 0 15.348 * [backup-simplify]: Simplify 0 into 0 15.348 * [backup-simplify]: Simplify 0 into 0 15.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.349 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.349 * [backup-simplify]: Simplify (+ 0) into 0 15.350 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.351 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.352 * [backup-simplify]: Simplify (- 0) into 0 15.352 * [backup-simplify]: Simplify (+ 0 0) into 0 15.352 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.352 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.353 * [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 15.353 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.354 * [backup-simplify]: Simplify (+ 0 0) into 0 15.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.354 * [taylor]: Taking taylor expansion of 0 in J 15.354 * [backup-simplify]: Simplify 0 into 0 15.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.356 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.356 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.359 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.360 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.360 * [backup-simplify]: Simplify (- 0) into 0 15.361 * [backup-simplify]: Simplify (+ 0 0) into 0 15.361 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 15.362 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.362 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.362 * [taylor]: Taking taylor expansion of 0 in K 15.362 * [backup-simplify]: Simplify 0 into 0 15.362 * [backup-simplify]: Simplify 0 into 0 15.362 * [taylor]: Taking taylor expansion of 0 in K 15.362 * [backup-simplify]: Simplify 0 into 0 15.362 * [backup-simplify]: Simplify 0 into 0 15.362 * [backup-simplify]: Simplify 1 into 1 15.363 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 15.363 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 15.363 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.363 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.363 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.363 * [taylor]: Taking taylor expansion of 1/4 in K 15.363 * [backup-simplify]: Simplify 1/4 into 1/4 15.363 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.363 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.363 * [taylor]: Taking taylor expansion of J in K 15.363 * [backup-simplify]: Simplify J into J 15.363 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.363 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.363 * [taylor]: Taking taylor expansion of U in K 15.363 * [backup-simplify]: Simplify U into U 15.363 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.363 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.363 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.363 * [taylor]: Taking taylor expansion of 1/2 in K 15.363 * [backup-simplify]: Simplify 1/2 into 1/2 15.363 * [taylor]: Taking taylor expansion of K in K 15.363 * [backup-simplify]: Simplify 0 into 0 15.363 * [backup-simplify]: Simplify 1 into 1 15.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.369 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.369 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.369 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.369 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.369 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.369 * [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))) 15.369 * [taylor]: Taking taylor expansion of 1 in K 15.369 * [backup-simplify]: Simplify 1 into 1 15.370 * [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)))) 15.370 * [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) 15.370 * [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)) 15.370 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.370 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.371 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.371 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.371 * [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 15.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.373 * [backup-simplify]: Simplify (+ 0 0) into 0 15.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.373 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.373 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.373 * [taylor]: Taking taylor expansion of 1/4 in J 15.373 * [backup-simplify]: Simplify 1/4 into 1/4 15.373 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.373 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.373 * [taylor]: Taking taylor expansion of J in J 15.373 * [backup-simplify]: Simplify 0 into 0 15.373 * [backup-simplify]: Simplify 1 into 1 15.373 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.373 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.373 * [taylor]: Taking taylor expansion of U in J 15.373 * [backup-simplify]: Simplify U into U 15.373 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.373 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.373 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.373 * [taylor]: Taking taylor expansion of 1/2 in J 15.373 * [backup-simplify]: Simplify 1/2 into 1/2 15.373 * [taylor]: Taking taylor expansion of K in J 15.374 * [backup-simplify]: Simplify K into K 15.374 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.374 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.374 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.374 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.374 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.374 * [backup-simplify]: Simplify (- 0) into 0 15.374 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.375 * [backup-simplify]: Simplify (* 1 1) into 1 15.375 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.375 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.375 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.375 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.375 * [taylor]: Taking taylor expansion of 1 in J 15.375 * [backup-simplify]: Simplify 1 into 1 15.376 * [backup-simplify]: Simplify (+ 0 1) into 1 15.376 * [backup-simplify]: Simplify (sqrt 1) into 1 15.376 * [backup-simplify]: Simplify (+ 0 0) into 0 15.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.377 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.377 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.377 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.377 * [taylor]: Taking taylor expansion of 1/4 in U 15.377 * [backup-simplify]: Simplify 1/4 into 1/4 15.377 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.377 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.377 * [taylor]: Taking taylor expansion of J in U 15.377 * [backup-simplify]: Simplify J into J 15.377 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.377 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.377 * [taylor]: Taking taylor expansion of U in U 15.377 * [backup-simplify]: Simplify 0 into 0 15.377 * [backup-simplify]: Simplify 1 into 1 15.377 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.377 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.377 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.377 * [taylor]: Taking taylor expansion of 1/2 in U 15.378 * [backup-simplify]: Simplify 1/2 into 1/2 15.378 * [taylor]: Taking taylor expansion of K in U 15.378 * [backup-simplify]: Simplify K into K 15.378 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.378 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.378 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.378 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.378 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.378 * [backup-simplify]: Simplify (- 0) into 0 15.378 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.378 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.379 * [backup-simplify]: Simplify (* 1 1) into 1 15.379 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.379 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.379 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.379 * [taylor]: Taking taylor expansion of 1 in U 15.379 * [backup-simplify]: Simplify 1 into 1 15.379 * [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))) 15.380 * [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))) 15.380 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.380 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.380 * [backup-simplify]: Simplify (+ 0) into 0 15.381 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.382 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.382 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.382 * [backup-simplify]: Simplify (- 0) into 0 15.383 * [backup-simplify]: Simplify (+ 0 0) into 0 15.383 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.384 * [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 15.385 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.385 * [backup-simplify]: Simplify (+ 0 0) into 0 15.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.385 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.385 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.385 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.386 * [taylor]: Taking taylor expansion of 1/4 in U 15.386 * [backup-simplify]: Simplify 1/4 into 1/4 15.386 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.386 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.386 * [taylor]: Taking taylor expansion of J in U 15.386 * [backup-simplify]: Simplify J into J 15.386 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.386 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.386 * [taylor]: Taking taylor expansion of U in U 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [backup-simplify]: Simplify 1 into 1 15.386 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.386 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.386 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.386 * [taylor]: Taking taylor expansion of 1/2 in U 15.386 * [backup-simplify]: Simplify 1/2 into 1/2 15.386 * [taylor]: Taking taylor expansion of K in U 15.386 * [backup-simplify]: Simplify K into K 15.386 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.386 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.386 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.386 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.386 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.387 * [backup-simplify]: Simplify (- 0) into 0 15.387 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.387 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.387 * [backup-simplify]: Simplify (* 1 1) into 1 15.387 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.387 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.387 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.387 * [taylor]: Taking taylor expansion of 1 in U 15.387 * [backup-simplify]: Simplify 1 into 1 15.388 * [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))) 15.388 * [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))) 15.388 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.388 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.389 * [backup-simplify]: Simplify (+ 0) into 0 15.389 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.389 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.390 * [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 (+ (* 1 0) (* 0 1)) into 0 15.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.392 * [backup-simplify]: 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 15.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.393 * [backup-simplify]: Simplify (+ 0 0) into 0 15.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 15.394 * [taylor]: Taking taylor expansion of 1/2 in J 15.394 * [backup-simplify]: Simplify 1/2 into 1/2 15.394 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 15.394 * [taylor]: Taking taylor expansion of J in J 15.394 * [backup-simplify]: Simplify 0 into 0 15.394 * [backup-simplify]: Simplify 1 into 1 15.394 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.394 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.394 * [taylor]: Taking taylor expansion of 1/2 in J 15.394 * [backup-simplify]: Simplify 1/2 into 1/2 15.394 * [taylor]: Taking taylor expansion of K in J 15.394 * [backup-simplify]: Simplify K into K 15.394 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.394 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.394 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.394 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.394 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.395 * [backup-simplify]: Simplify (- 0) into 0 15.395 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.395 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.395 * [taylor]: Taking taylor expansion of 0 in J 15.395 * [backup-simplify]: Simplify 0 into 0 15.395 * [taylor]: Taking taylor expansion of 0 in K 15.395 * [backup-simplify]: Simplify 0 into 0 15.395 * [backup-simplify]: Simplify 0 into 0 15.395 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 15.395 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 15.395 * [taylor]: Taking taylor expansion of 1/2 in K 15.395 * [backup-simplify]: Simplify 1/2 into 1/2 15.395 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.395 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.395 * [taylor]: Taking taylor expansion of 1/2 in K 15.395 * [backup-simplify]: Simplify 1/2 into 1/2 15.395 * [taylor]: Taking taylor expansion of K in K 15.395 * [backup-simplify]: Simplify 0 into 0 15.395 * [backup-simplify]: Simplify 1 into 1 15.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.396 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.396 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.396 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.396 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.397 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.398 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.398 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.399 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.399 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.400 * [backup-simplify]: Simplify (- 0) into 0 15.400 * [backup-simplify]: Simplify (+ 0 0) into 0 15.401 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.403 * [backup-simplify]: 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 15.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.404 * [backup-simplify]: Simplify (+ 0 1) into 1 15.405 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.405 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.405 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.405 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.405 * [taylor]: Taking taylor expansion of 1/2 in J 15.405 * [backup-simplify]: Simplify 1/2 into 1/2 15.405 * [taylor]: Taking taylor expansion of K in J 15.405 * [backup-simplify]: Simplify K into K 15.405 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.405 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.405 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.405 * [taylor]: Taking taylor expansion of J in J 15.405 * [backup-simplify]: Simplify 0 into 0 15.405 * [backup-simplify]: Simplify 1 into 1 15.405 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.405 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.406 * [backup-simplify]: Simplify (- 0) into 0 15.406 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.406 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.406 * [backup-simplify]: Simplify (+ 0) into 0 15.407 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.407 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.408 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.408 * [backup-simplify]: Simplify (- 0) into 0 15.409 * [backup-simplify]: Simplify (+ 0 0) into 0 15.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.409 * [taylor]: Taking taylor expansion of 0 in K 15.410 * [backup-simplify]: Simplify 0 into 0 15.410 * [backup-simplify]: Simplify 0 into 0 15.410 * [taylor]: Taking taylor expansion of 0 in K 15.410 * [backup-simplify]: Simplify 0 into 0 15.410 * [backup-simplify]: Simplify 0 into 0 15.410 * [backup-simplify]: Simplify (+ 0) into 0 15.410 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.411 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.412 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.412 * [backup-simplify]: Simplify (- 0) into 0 15.412 * [backup-simplify]: Simplify (+ 0 0) into 0 15.412 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.413 * [taylor]: Taking taylor expansion of 0 in K 15.413 * [backup-simplify]: Simplify 0 into 0 15.413 * [backup-simplify]: Simplify 0 into 0 15.413 * [backup-simplify]: Simplify 0 into 0 15.413 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.413 * [backup-simplify]: Simplify 0 into 0 15.414 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.415 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.416 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.416 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.418 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.418 * [backup-simplify]: Simplify (- 0) into 0 15.418 * [backup-simplify]: Simplify (+ 0 0) into 0 15.419 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.422 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.423 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.423 * [backup-simplify]: Simplify (+ 0 0) into 0 15.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.423 * [taylor]: Taking taylor expansion of 0 in J 15.423 * [backup-simplify]: Simplify 0 into 0 15.424 * [taylor]: Taking taylor expansion of 0 in K 15.424 * [backup-simplify]: Simplify 0 into 0 15.424 * [backup-simplify]: Simplify 0 into 0 15.424 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.424 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.424 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 15.424 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.424 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.424 * [taylor]: Taking taylor expansion of 1 in K 15.425 * [backup-simplify]: Simplify 1 into 1 15.425 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.425 * [taylor]: Taking taylor expansion of 1/4 in K 15.425 * [backup-simplify]: Simplify 1/4 into 1/4 15.425 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.425 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.425 * [taylor]: Taking taylor expansion of J in K 15.425 * [backup-simplify]: Simplify J into J 15.425 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.425 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.425 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.425 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.425 * [taylor]: Taking taylor expansion of -1/2 in K 15.425 * [backup-simplify]: Simplify -1/2 into -1/2 15.425 * [taylor]: Taking taylor expansion of K in K 15.425 * [backup-simplify]: Simplify 0 into 0 15.425 * [backup-simplify]: Simplify 1 into 1 15.425 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.425 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.425 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.425 * [taylor]: Taking taylor expansion of U in K 15.425 * [backup-simplify]: Simplify U into U 15.425 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.426 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.426 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.426 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.426 * [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))) 15.426 * [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)))) 15.427 * [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))))) 15.427 * [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)))))) 15.427 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.427 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.427 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.427 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.428 * [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 15.429 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.429 * [backup-simplify]: Simplify (+ 0 0) into 0 15.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.430 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.430 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.430 * [taylor]: Taking taylor expansion of 1 in J 15.430 * [backup-simplify]: Simplify 1 into 1 15.430 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.430 * [taylor]: Taking taylor expansion of 1/4 in J 15.430 * [backup-simplify]: Simplify 1/4 into 1/4 15.430 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.430 * [taylor]: Taking taylor expansion of (pow J 2) 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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.430 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 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 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.431 * [taylor]: Taking taylor expansion of U in J 15.431 * [backup-simplify]: Simplify U into U 15.431 * [backup-simplify]: Simplify (* 1 1) into 1 15.431 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.431 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.431 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.432 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.432 * [backup-simplify]: Simplify (+ 1 0) into 1 15.432 * [backup-simplify]: Simplify (sqrt 1) into 1 15.433 * [backup-simplify]: Simplify (+ 0 0) into 0 15.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.433 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.433 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.433 * [taylor]: Taking taylor expansion of 1 in U 15.433 * [backup-simplify]: Simplify 1 into 1 15.433 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.433 * [taylor]: Taking taylor expansion of 1/4 in U 15.434 * [backup-simplify]: Simplify 1/4 into 1/4 15.434 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.434 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.434 * [taylor]: Taking taylor expansion of J in U 15.434 * [backup-simplify]: Simplify J into J 15.434 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.434 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.434 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.434 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.434 * [taylor]: Taking taylor expansion of -1/2 in U 15.434 * [backup-simplify]: Simplify -1/2 into -1/2 15.434 * [taylor]: Taking taylor expansion of K in U 15.434 * [backup-simplify]: Simplify K into K 15.434 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.434 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.434 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.434 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.434 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.434 * [backup-simplify]: Simplify (- 0) into 0 15.435 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.435 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.435 * [taylor]: Taking taylor expansion of U in U 15.435 * [backup-simplify]: Simplify 0 into 0 15.435 * [backup-simplify]: Simplify 1 into 1 15.435 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.435 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.435 * [backup-simplify]: Simplify (* 1 1) into 1 15.435 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.435 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.436 * [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))) 15.436 * [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))) 15.436 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.436 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.437 * [backup-simplify]: Simplify (+ 0) into 0 15.437 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.438 * [backup-simplify]: Simplify (- 0) into 0 15.439 * [backup-simplify]: Simplify (+ 0 0) into 0 15.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.439 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) 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))))) into 0 15.440 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.440 * [backup-simplify]: Simplify (+ 0 0) into 0 15.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.440 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.440 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.440 * [taylor]: Taking taylor expansion of 1 in U 15.440 * [backup-simplify]: Simplify 1 into 1 15.440 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.440 * [taylor]: Taking taylor expansion of 1/4 in U 15.440 * [backup-simplify]: Simplify 1/4 into 1/4 15.440 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.440 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.440 * [taylor]: Taking taylor expansion of J in U 15.440 * [backup-simplify]: Simplify J into J 15.440 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.440 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.440 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.440 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.440 * [taylor]: Taking taylor expansion of -1/2 in U 15.440 * [backup-simplify]: Simplify -1/2 into -1/2 15.440 * [taylor]: Taking taylor expansion of K in U 15.440 * [backup-simplify]: Simplify K into K 15.440 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.440 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.441 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.441 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.441 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.441 * [backup-simplify]: Simplify (- 0) into 0 15.441 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.441 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.441 * [taylor]: Taking taylor expansion of U in U 15.441 * [backup-simplify]: Simplify 0 into 0 15.441 * [backup-simplify]: Simplify 1 into 1 15.441 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.441 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.441 * [backup-simplify]: Simplify (* 1 1) into 1 15.441 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.442 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.442 * [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))) 15.442 * [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))) 15.442 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.442 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.443 * [backup-simplify]: Simplify (+ 0) into 0 15.443 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.443 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.444 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.444 * [backup-simplify]: Simplify (- 0) into 0 15.444 * [backup-simplify]: Simplify (+ 0 0) into 0 15.444 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.445 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.445 * [backup-simplify]: 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 15.445 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.446 * [backup-simplify]: Simplify (+ 0 0) into 0 15.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 15.446 * [taylor]: Taking taylor expansion of 1/2 in J 15.446 * [backup-simplify]: Simplify 1/2 into 1/2 15.446 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 15.446 * [taylor]: Taking taylor expansion of J in J 15.446 * [backup-simplify]: Simplify 0 into 0 15.446 * [backup-simplify]: Simplify 1 into 1 15.446 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.446 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.446 * [taylor]: Taking taylor expansion of -1/2 in J 15.446 * [backup-simplify]: Simplify -1/2 into -1/2 15.446 * [taylor]: Taking taylor expansion of K in J 15.446 * [backup-simplify]: Simplify K into K 15.446 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.446 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.446 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.446 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.446 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.446 * [backup-simplify]: Simplify (- 0) into 0 15.447 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.447 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.447 * [taylor]: Taking taylor expansion of 0 in J 15.447 * [backup-simplify]: Simplify 0 into 0 15.447 * [taylor]: Taking taylor expansion of 0 in K 15.447 * [backup-simplify]: Simplify 0 into 0 15.447 * [backup-simplify]: Simplify 0 into 0 15.447 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 15.447 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 15.447 * [taylor]: Taking taylor expansion of 1/2 in K 15.447 * [backup-simplify]: Simplify 1/2 into 1/2 15.447 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.447 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.447 * [taylor]: Taking taylor expansion of -1/2 in K 15.447 * [backup-simplify]: Simplify -1/2 into -1/2 15.447 * [taylor]: Taking taylor expansion of K in K 15.447 * [backup-simplify]: Simplify 0 into 0 15.447 * [backup-simplify]: Simplify 1 into 1 15.447 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.447 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.447 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.447 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.448 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.449 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.450 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.450 * [backup-simplify]: Simplify (- 0) into 0 15.451 * [backup-simplify]: Simplify (+ 0 0) into 0 15.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.451 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.452 * [backup-simplify]: 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 15.452 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.453 * [backup-simplify]: Simplify (+ 1 0) into 1 15.453 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.453 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.453 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.453 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.453 * [taylor]: Taking taylor expansion of -1/2 in J 15.453 * [backup-simplify]: Simplify -1/2 into -1/2 15.453 * [taylor]: Taking taylor expansion of K in J 15.453 * [backup-simplify]: Simplify K into K 15.453 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.453 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.453 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.453 * [taylor]: Taking taylor expansion of J in J 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [backup-simplify]: Simplify 1 into 1 15.453 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.453 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.454 * [backup-simplify]: Simplify (- 0) into 0 15.454 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.454 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.454 * [backup-simplify]: Simplify (+ 0) into 0 15.454 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.454 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.455 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.455 * [backup-simplify]: Simplify (- 0) into 0 15.456 * [backup-simplify]: Simplify (+ 0 0) into 0 15.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.456 * [taylor]: Taking taylor expansion of 0 in K 15.456 * [backup-simplify]: Simplify 0 into 0 15.456 * [backup-simplify]: Simplify 0 into 0 15.456 * [taylor]: Taking taylor expansion of 0 in K 15.456 * [backup-simplify]: Simplify 0 into 0 15.456 * [backup-simplify]: Simplify 0 into 0 15.457 * [backup-simplify]: Simplify (+ 0) into 0 15.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.457 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.458 * [backup-simplify]: Simplify (- 0) into 0 15.458 * [backup-simplify]: Simplify (+ 0 0) into 0 15.458 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 15.459 * [taylor]: Taking taylor expansion of 0 in K 15.459 * [backup-simplify]: Simplify 0 into 0 15.459 * [backup-simplify]: Simplify 0 into 0 15.459 * [backup-simplify]: Simplify 0 into 0 15.459 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.459 * [backup-simplify]: Simplify 0 into 0 15.460 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.461 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.461 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.463 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.463 * [backup-simplify]: Simplify (- 0) into 0 15.463 * [backup-simplify]: Simplify (+ 0 0) into 0 15.464 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 15.464 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.465 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.465 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.466 * [backup-simplify]: Simplify (+ 0 0) into 0 15.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.466 * [taylor]: Taking taylor expansion of 0 in J 15.466 * [backup-simplify]: Simplify 0 into 0 15.466 * [taylor]: Taking taylor expansion of 0 in K 15.466 * [backup-simplify]: Simplify 0 into 0 15.466 * [backup-simplify]: Simplify 0 into 0 15.466 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.466 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 15.466 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 15.467 * [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 (U J K) around 0 15.467 * [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 15.467 * [taylor]: Taking taylor expansion of -2 in K 15.467 * [backup-simplify]: Simplify -2 into -2 15.467 * [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 15.467 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.467 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.467 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.467 * [taylor]: Taking taylor expansion of 1/2 in K 15.467 * [backup-simplify]: Simplify 1/2 into 1/2 15.467 * [taylor]: Taking taylor expansion of K in K 15.467 * [backup-simplify]: Simplify 0 into 0 15.467 * [backup-simplify]: Simplify 1 into 1 15.467 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.467 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.467 * [taylor]: Taking taylor expansion of J in K 15.467 * [backup-simplify]: Simplify J into J 15.467 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.467 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.468 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.468 * [taylor]: Taking taylor expansion of 1/4 in K 15.468 * [backup-simplify]: Simplify 1/4 into 1/4 15.468 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.468 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.468 * [taylor]: Taking taylor expansion of U in K 15.468 * [backup-simplify]: Simplify U into U 15.468 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.468 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.468 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.468 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.468 * [taylor]: Taking taylor expansion of 1/2 in K 15.468 * [backup-simplify]: Simplify 1/2 into 1/2 15.468 * [taylor]: Taking taylor expansion of K in K 15.468 * [backup-simplify]: Simplify 0 into 0 15.468 * [backup-simplify]: Simplify 1 into 1 15.468 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.468 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.468 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.468 * [taylor]: Taking taylor expansion of J in K 15.469 * [backup-simplify]: Simplify J into J 15.469 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.469 * [backup-simplify]: Simplify (* 1 1) into 1 15.469 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.469 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.469 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.469 * [taylor]: Taking taylor expansion of 1 in K 15.469 * [backup-simplify]: Simplify 1 into 1 15.469 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.469 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.469 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.469 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.469 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.470 * [backup-simplify]: Simplify (+ 0) into 0 15.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.471 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.471 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.471 * [backup-simplify]: Simplify (+ 0 0) into 0 15.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.471 * [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 15.471 * [taylor]: Taking taylor expansion of -2 in J 15.471 * [backup-simplify]: Simplify -2 into -2 15.471 * [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 15.471 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.471 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.471 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.471 * [taylor]: Taking taylor expansion of 1/2 in J 15.471 * [backup-simplify]: Simplify 1/2 into 1/2 15.472 * [taylor]: Taking taylor expansion of K in J 15.472 * [backup-simplify]: Simplify K into K 15.472 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.472 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.472 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.472 * [taylor]: Taking taylor expansion of J in J 15.472 * [backup-simplify]: Simplify 0 into 0 15.472 * [backup-simplify]: Simplify 1 into 1 15.472 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.472 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.472 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.472 * [taylor]: Taking taylor expansion of 1/4 in J 15.472 * [backup-simplify]: Simplify 1/4 into 1/4 15.472 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.472 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.472 * [taylor]: Taking taylor expansion of U in J 15.472 * [backup-simplify]: Simplify U into U 15.472 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.472 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.472 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.472 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.472 * [taylor]: Taking taylor expansion of 1/2 in J 15.472 * [backup-simplify]: Simplify 1/2 into 1/2 15.472 * [taylor]: Taking taylor expansion of K in J 15.472 * [backup-simplify]: Simplify K into K 15.472 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.472 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.472 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.472 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.472 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.472 * [backup-simplify]: Simplify (- 0) into 0 15.472 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.473 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.473 * [taylor]: Taking taylor expansion of J in J 15.473 * [backup-simplify]: Simplify 0 into 0 15.473 * [backup-simplify]: Simplify 1 into 1 15.473 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.473 * [backup-simplify]: Simplify (* 1 1) into 1 15.473 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.473 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.473 * [taylor]: Taking taylor expansion of 1 in J 15.473 * [backup-simplify]: Simplify 1 into 1 15.473 * [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))) 15.473 * [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))) 15.474 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.474 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.474 * [backup-simplify]: Simplify (+ 0) into 0 15.475 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.476 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.476 * [backup-simplify]: Simplify (- 0) into 0 15.476 * [backup-simplify]: Simplify (+ 0 0) into 0 15.476 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.476 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.477 * [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 15.477 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.477 * [backup-simplify]: Simplify (+ 0 0) into 0 15.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.478 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 15.478 * [taylor]: Taking taylor expansion of -2 in U 15.478 * [backup-simplify]: Simplify -2 into -2 15.478 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 15.478 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.478 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.478 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.478 * [taylor]: Taking taylor expansion of 1/2 in U 15.478 * [backup-simplify]: Simplify 1/2 into 1/2 15.478 * [taylor]: Taking taylor expansion of K in U 15.478 * [backup-simplify]: Simplify K into K 15.478 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.478 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.478 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.478 * [taylor]: Taking taylor expansion of J in U 15.478 * [backup-simplify]: Simplify J into J 15.478 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.478 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.478 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.478 * [taylor]: Taking taylor expansion of 1/4 in U 15.478 * [backup-simplify]: Simplify 1/4 into 1/4 15.478 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.478 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.478 * [taylor]: Taking taylor expansion of U in U 15.478 * [backup-simplify]: Simplify 0 into 0 15.478 * [backup-simplify]: Simplify 1 into 1 15.478 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.478 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.478 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.478 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.478 * [taylor]: Taking taylor expansion of 1/2 in U 15.478 * [backup-simplify]: Simplify 1/2 into 1/2 15.478 * [taylor]: Taking taylor expansion of K in U 15.478 * [backup-simplify]: Simplify K into K 15.478 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.478 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.478 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.478 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.478 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.479 * [backup-simplify]: Simplify (- 0) into 0 15.479 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.479 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.479 * [taylor]: Taking taylor expansion of J in U 15.479 * [backup-simplify]: Simplify J into J 15.479 * [backup-simplify]: Simplify (* 1 1) into 1 15.479 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.479 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.479 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.479 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.479 * [taylor]: Taking taylor expansion of 1 in U 15.479 * [backup-simplify]: Simplify 1 into 1 15.480 * [backup-simplify]: Simplify (+ 0 1) into 1 15.480 * [backup-simplify]: Simplify (sqrt 1) into 1 15.480 * [backup-simplify]: Simplify (+ 0 0) into 0 15.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.483 * [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 15.483 * [taylor]: Taking taylor expansion of -2 in U 15.483 * [backup-simplify]: Simplify -2 into -2 15.483 * [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 15.483 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.484 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.484 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.484 * [taylor]: Taking taylor expansion of 1/2 in U 15.484 * [backup-simplify]: Simplify 1/2 into 1/2 15.484 * [taylor]: Taking taylor expansion of K in U 15.484 * [backup-simplify]: Simplify K into K 15.484 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.484 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.484 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.484 * [taylor]: Taking taylor expansion of J in U 15.484 * [backup-simplify]: Simplify J into J 15.484 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.484 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.484 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.484 * [taylor]: Taking taylor expansion of 1/4 in U 15.484 * [backup-simplify]: Simplify 1/4 into 1/4 15.484 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.484 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.484 * [taylor]: Taking taylor expansion of U in U 15.484 * [backup-simplify]: Simplify 0 into 0 15.484 * [backup-simplify]: Simplify 1 into 1 15.484 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.484 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.484 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.484 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.484 * [taylor]: Taking taylor expansion of 1/2 in U 15.484 * [backup-simplify]: Simplify 1/2 into 1/2 15.484 * [taylor]: Taking taylor expansion of K in U 15.484 * [backup-simplify]: Simplify K into K 15.484 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.484 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.484 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.484 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.484 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.485 * [backup-simplify]: Simplify (- 0) into 0 15.485 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.485 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.485 * [taylor]: Taking taylor expansion of J in U 15.485 * [backup-simplify]: Simplify J into J 15.485 * [backup-simplify]: Simplify (* 1 1) into 1 15.485 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.485 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.485 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.486 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.486 * [taylor]: Taking taylor expansion of 1 in U 15.486 * [backup-simplify]: Simplify 1 into 1 15.486 * [backup-simplify]: Simplify (+ 0 1) into 1 15.486 * [backup-simplify]: Simplify (sqrt 1) into 1 15.487 * [backup-simplify]: Simplify (+ 0 0) into 0 15.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.487 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.488 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.488 * [backup-simplify]: Simplify (- 0) into 0 15.488 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.488 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.488 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 15.488 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 15.488 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 15.488 * [taylor]: Taking taylor expansion of -2 in J 15.488 * [backup-simplify]: Simplify -2 into -2 15.488 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.488 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.488 * [taylor]: Taking taylor expansion of 1/2 in J 15.488 * [backup-simplify]: Simplify 1/2 into 1/2 15.488 * [taylor]: Taking taylor expansion of K in J 15.488 * [backup-simplify]: Simplify K into K 15.489 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.489 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.489 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.489 * [taylor]: Taking taylor expansion of J in J 15.489 * [backup-simplify]: Simplify 0 into 0 15.489 * [backup-simplify]: Simplify 1 into 1 15.489 * [backup-simplify]: Simplify (+ 0) into 0 15.490 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.491 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.491 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.491 * [backup-simplify]: Simplify (- 0) into 0 15.492 * [backup-simplify]: Simplify (+ 0 0) into 0 15.492 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 15.492 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 15.493 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 15.493 * [taylor]: Taking taylor expansion of 0 in J 15.493 * [backup-simplify]: Simplify 0 into 0 15.493 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.493 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.493 * [backup-simplify]: Simplify (- 0) into 0 15.493 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.493 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.494 * [backup-simplify]: Simplify (* -2 0) into 0 15.494 * [taylor]: Taking taylor expansion of 0 in K 15.494 * [backup-simplify]: Simplify 0 into 0 15.494 * [backup-simplify]: Simplify 0 into 0 15.494 * [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))) 15.494 * [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)))) 15.496 * [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))) 15.496 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.497 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.498 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.499 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.499 * [backup-simplify]: Simplify (- 0) into 0 15.499 * [backup-simplify]: Simplify (+ 0 0) into 0 15.500 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 15.501 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 15.501 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 15.501 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 15.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 15.501 * [taylor]: Taking taylor expansion of 1/4 in J 15.501 * [backup-simplify]: Simplify 1/4 into 1/4 15.501 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 15.501 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.501 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.501 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.501 * [taylor]: Taking taylor expansion of 1/2 in J 15.501 * [backup-simplify]: Simplify 1/2 into 1/2 15.501 * [taylor]: Taking taylor expansion of K in J 15.501 * [backup-simplify]: Simplify K into K 15.501 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.502 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.502 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.502 * [taylor]: Taking taylor expansion of J in J 15.502 * [backup-simplify]: Simplify 0 into 0 15.502 * [backup-simplify]: Simplify 1 into 1 15.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.502 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.502 * [backup-simplify]: Simplify (- 0) into 0 15.502 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.503 * [backup-simplify]: Simplify (+ 0) into 0 15.503 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.504 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.505 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.505 * [backup-simplify]: Simplify (- 0) into 0 15.505 * [backup-simplify]: Simplify (+ 0 0) into 0 15.506 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.506 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 15.506 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 15.506 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 15.506 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 15.506 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 15.506 * [taylor]: Taking taylor expansion of 1/4 in K 15.506 * [backup-simplify]: Simplify 1/4 into 1/4 15.506 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 15.506 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.506 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.506 * [taylor]: Taking taylor expansion of 1/2 in K 15.506 * [backup-simplify]: Simplify 1/2 into 1/2 15.506 * [taylor]: Taking taylor expansion of K in K 15.506 * [backup-simplify]: Simplify 0 into 0 15.506 * [backup-simplify]: Simplify 1 into 1 15.507 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.507 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.508 * [backup-simplify]: Simplify (/ 1 1) into 1 15.508 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 15.508 * [backup-simplify]: Simplify (- 1/4) into -1/4 15.508 * [backup-simplify]: Simplify -1/4 into -1/4 15.509 * [taylor]: Taking taylor expansion of 0 in K 15.509 * [backup-simplify]: Simplify 0 into 0 15.509 * [backup-simplify]: Simplify 0 into 0 15.509 * [backup-simplify]: Simplify (+ 0) into 0 15.510 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.511 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.511 * [backup-simplify]: Simplify (- 0) into 0 15.512 * [backup-simplify]: Simplify (+ 0 0) into 0 15.512 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.513 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 15.513 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 15.513 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 15.513 * [taylor]: Taking taylor expansion of 2 in K 15.513 * [backup-simplify]: Simplify 2 into 2 15.513 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.513 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.513 * [taylor]: Taking taylor expansion of 1/2 in K 15.513 * [backup-simplify]: Simplify 1/2 into 1/2 15.513 * [taylor]: Taking taylor expansion of K in K 15.513 * [backup-simplify]: Simplify 0 into 0 15.513 * [backup-simplify]: Simplify 1 into 1 15.513 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.514 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.514 * [backup-simplify]: Simplify (* 2 1) into 2 15.515 * [backup-simplify]: Simplify (- 2) into -2 15.515 * [backup-simplify]: Simplify -2 into -2 15.515 * [backup-simplify]: Simplify 0 into 0 15.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.516 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.516 * [backup-simplify]: Simplify (+ 0) into 0 15.517 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.518 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.518 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.519 * [backup-simplify]: Simplify (- 0) into 0 15.519 * [backup-simplify]: Simplify (+ 0 0) into 0 15.519 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.519 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.520 * [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 15.521 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.521 * [backup-simplify]: Simplify (+ 0 0) into 0 15.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.523 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.524 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 15.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.527 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.528 * [backup-simplify]: Simplify (- 0) into 0 15.528 * [backup-simplify]: Simplify (+ 0 0) into 0 15.529 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.530 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 15.531 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 15.531 * [taylor]: Taking taylor expansion of 0 in J 15.531 * [backup-simplify]: Simplify 0 into 0 15.532 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.533 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.534 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.535 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.535 * [backup-simplify]: Simplify (- 0) into 0 15.536 * [backup-simplify]: Simplify (+ 0 0) into 0 15.536 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 15.537 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 15.537 * [backup-simplify]: Simplify (- 0) into 0 15.537 * [taylor]: Taking taylor expansion of 0 in K 15.538 * [backup-simplify]: Simplify 0 into 0 15.538 * [backup-simplify]: Simplify 0 into 0 15.538 * [taylor]: Taking taylor expansion of 0 in K 15.538 * [backup-simplify]: Simplify 0 into 0 15.538 * [backup-simplify]: Simplify 0 into 0 15.539 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.539 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.541 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.542 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.542 * [backup-simplify]: Simplify (- 0) into 0 15.542 * [backup-simplify]: Simplify (+ 0 0) into 0 15.543 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.544 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 15.544 * [taylor]: Taking taylor expansion of 0 in K 15.544 * [backup-simplify]: Simplify 0 into 0 15.544 * [backup-simplify]: Simplify 0 into 0 15.545 * [backup-simplify]: Simplify (+ 0) into 0 15.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.546 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 15.547 * [backup-simplify]: Simplify (- 0) into 0 15.547 * [backup-simplify]: Simplify 0 into 0 15.547 * [backup-simplify]: Simplify 0 into 0 15.547 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 15.548 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 15.548 * [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 (U J K) around 0 15.548 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 15.548 * [taylor]: Taking taylor expansion of -2 in K 15.548 * [backup-simplify]: Simplify -2 into -2 15.548 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 15.548 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.548 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.548 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.548 * [taylor]: Taking taylor expansion of 1/4 in K 15.548 * [backup-simplify]: Simplify 1/4 into 1/4 15.548 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.548 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.548 * [taylor]: Taking taylor expansion of J in K 15.548 * [backup-simplify]: Simplify J into J 15.548 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.548 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.548 * [taylor]: Taking taylor expansion of U in K 15.548 * [backup-simplify]: Simplify U into U 15.548 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.548 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.548 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.548 * [taylor]: Taking taylor expansion of 1/2 in K 15.548 * [backup-simplify]: Simplify 1/2 into 1/2 15.548 * [taylor]: Taking taylor expansion of K in K 15.548 * [backup-simplify]: Simplify 0 into 0 15.549 * [backup-simplify]: Simplify 1 into 1 15.549 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.549 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.549 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.549 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.550 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.550 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.550 * [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))) 15.550 * [taylor]: Taking taylor expansion of 1 in K 15.550 * [backup-simplify]: Simplify 1 into 1 15.550 * [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)))) 15.551 * [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) 15.551 * [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)) 15.551 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.551 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.551 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.552 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.552 * [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 15.553 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.554 * [backup-simplify]: Simplify (+ 0 0) into 0 15.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.554 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 15.554 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.554 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.554 * [taylor]: Taking taylor expansion of 1/2 in K 15.554 * [backup-simplify]: Simplify 1/2 into 1/2 15.554 * [taylor]: Taking taylor expansion of K in K 15.554 * [backup-simplify]: Simplify 0 into 0 15.554 * [backup-simplify]: Simplify 1 into 1 15.555 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.555 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.555 * [taylor]: Taking taylor expansion of J in K 15.555 * [backup-simplify]: Simplify J into J 15.555 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 15.555 * [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 15.555 * [taylor]: Taking taylor expansion of -2 in J 15.555 * [backup-simplify]: Simplify -2 into -2 15.555 * [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 15.555 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.555 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.555 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.555 * [taylor]: Taking taylor expansion of 1/4 in J 15.555 * [backup-simplify]: Simplify 1/4 into 1/4 15.555 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.555 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.556 * [taylor]: Taking taylor expansion of J in J 15.556 * [backup-simplify]: Simplify 0 into 0 15.556 * [backup-simplify]: Simplify 1 into 1 15.556 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.556 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.556 * [taylor]: Taking taylor expansion of U in J 15.556 * [backup-simplify]: Simplify U into U 15.556 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.556 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.556 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.556 * [taylor]: Taking taylor expansion of 1/2 in J 15.556 * [backup-simplify]: Simplify 1/2 into 1/2 15.556 * [taylor]: Taking taylor expansion of K in J 15.556 * [backup-simplify]: Simplify K into K 15.556 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.556 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.556 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.556 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.556 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.557 * [backup-simplify]: Simplify (- 0) into 0 15.557 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.557 * [backup-simplify]: Simplify (* 1 1) into 1 15.557 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.558 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.558 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.558 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.558 * [taylor]: Taking taylor expansion of 1 in J 15.558 * [backup-simplify]: Simplify 1 into 1 15.558 * [backup-simplify]: Simplify (+ 0 1) into 1 15.559 * [backup-simplify]: Simplify (sqrt 1) into 1 15.560 * [backup-simplify]: Simplify (+ 0 0) into 0 15.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.560 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.560 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.560 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.560 * [taylor]: Taking taylor expansion of 1/2 in J 15.560 * [backup-simplify]: Simplify 1/2 into 1/2 15.561 * [taylor]: Taking taylor expansion of K in J 15.561 * [backup-simplify]: Simplify K into K 15.561 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.561 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.561 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.561 * [taylor]: Taking taylor expansion of J in J 15.561 * [backup-simplify]: Simplify 0 into 0 15.561 * [backup-simplify]: Simplify 1 into 1 15.561 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.561 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.561 * [backup-simplify]: Simplify (- 0) into 0 15.562 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.562 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.562 * [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 15.562 * [taylor]: Taking taylor expansion of -2 in U 15.562 * [backup-simplify]: Simplify -2 into -2 15.562 * [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 15.562 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.562 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.562 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.562 * [taylor]: Taking taylor expansion of 1/4 in U 15.562 * [backup-simplify]: Simplify 1/4 into 1/4 15.562 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.562 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.562 * [taylor]: Taking taylor expansion of J in U 15.562 * [backup-simplify]: Simplify J into J 15.562 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.562 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.562 * [taylor]: Taking taylor expansion of U in U 15.562 * [backup-simplify]: Simplify 0 into 0 15.562 * [backup-simplify]: Simplify 1 into 1 15.562 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.562 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.562 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.562 * [taylor]: Taking taylor expansion of 1/2 in U 15.562 * [backup-simplify]: Simplify 1/2 into 1/2 15.562 * [taylor]: Taking taylor expansion of K in U 15.562 * [backup-simplify]: Simplify K into K 15.562 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.563 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.563 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.563 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.563 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.563 * [backup-simplify]: Simplify (- 0) into 0 15.563 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.563 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.564 * [backup-simplify]: Simplify (* 1 1) into 1 15.564 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.564 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.564 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.564 * [taylor]: Taking taylor expansion of 1 in U 15.564 * [backup-simplify]: Simplify 1 into 1 15.564 * [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))) 15.565 * [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))) 15.565 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.565 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.566 * [backup-simplify]: Simplify (+ 0) into 0 15.566 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.566 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.567 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.568 * [backup-simplify]: Simplify (- 0) into 0 15.568 * [backup-simplify]: Simplify (+ 0 0) into 0 15.568 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.570 * [backup-simplify]: 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 15.571 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.571 * [backup-simplify]: Simplify (+ 0 0) into 0 15.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.571 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 15.571 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.571 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.571 * [taylor]: Taking taylor expansion of 1/2 in U 15.572 * [backup-simplify]: Simplify 1/2 into 1/2 15.572 * [taylor]: Taking taylor expansion of K in U 15.572 * [backup-simplify]: Simplify K into K 15.572 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.572 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.572 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.572 * [taylor]: Taking taylor expansion of J in U 15.572 * [backup-simplify]: Simplify J into J 15.572 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.572 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.572 * [backup-simplify]: Simplify (- 0) into 0 15.573 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.573 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 15.573 * [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 15.573 * [taylor]: Taking taylor expansion of -2 in U 15.573 * [backup-simplify]: Simplify -2 into -2 15.573 * [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 15.573 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.573 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.573 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.573 * [taylor]: Taking taylor expansion of 1/4 in U 15.573 * [backup-simplify]: Simplify 1/4 into 1/4 15.573 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.573 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.573 * [taylor]: Taking taylor expansion of J in U 15.573 * [backup-simplify]: Simplify J into J 15.573 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.573 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.573 * [taylor]: Taking taylor expansion of U in U 15.573 * [backup-simplify]: Simplify 0 into 0 15.573 * [backup-simplify]: Simplify 1 into 1 15.573 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.573 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.573 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.573 * [taylor]: Taking taylor expansion of 1/2 in U 15.573 * [backup-simplify]: Simplify 1/2 into 1/2 15.573 * [taylor]: Taking taylor expansion of K in U 15.573 * [backup-simplify]: Simplify K into K 15.573 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.573 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.574 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.574 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.574 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.574 * [backup-simplify]: Simplify (- 0) into 0 15.574 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.574 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.575 * [backup-simplify]: Simplify (* 1 1) into 1 15.575 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.575 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.575 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.575 * [taylor]: Taking taylor expansion of 1 in U 15.575 * [backup-simplify]: Simplify 1 into 1 15.575 * [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))) 15.576 * [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))) 15.576 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.576 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.576 * [backup-simplify]: Simplify (+ 0) into 0 15.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.578 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.579 * [backup-simplify]: Simplify (- 0) into 0 15.579 * [backup-simplify]: Simplify (+ 0 0) into 0 15.579 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.581 * [backup-simplify]: 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 15.582 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.582 * [backup-simplify]: Simplify (+ 0 0) into 0 15.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.583 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 15.583 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.583 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.583 * [taylor]: Taking taylor expansion of 1/2 in U 15.583 * [backup-simplify]: Simplify 1/2 into 1/2 15.583 * [taylor]: Taking taylor expansion of K in U 15.583 * [backup-simplify]: Simplify K into K 15.583 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.583 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.583 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.583 * [taylor]: Taking taylor expansion of J in U 15.583 * [backup-simplify]: Simplify J into J 15.583 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.583 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.584 * [backup-simplify]: Simplify (- 0) into 0 15.584 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.584 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 15.584 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 15.585 * [backup-simplify]: Simplify (* -2 1/2) into -1 15.585 * [taylor]: Taking taylor expansion of -1 in J 15.585 * [backup-simplify]: Simplify -1 into -1 15.585 * [backup-simplify]: Simplify (+ 0) into 0 15.586 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.586 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.588 * [backup-simplify]: Simplify (- 0) into 0 15.588 * [backup-simplify]: Simplify (+ 0 0) into 0 15.588 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 15.589 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 15.589 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 15.589 * [taylor]: Taking taylor expansion of 0 in J 15.590 * [backup-simplify]: Simplify 0 into 0 15.590 * [taylor]: Taking taylor expansion of -1 in K 15.590 * [backup-simplify]: Simplify -1 into -1 15.590 * [backup-simplify]: Simplify -1 into -1 15.591 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.591 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.592 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.592 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.593 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.593 * [backup-simplify]: Simplify (- 0) into 0 15.594 * [backup-simplify]: Simplify (+ 0 0) into 0 15.594 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 15.595 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.595 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.596 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.596 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.597 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.598 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.598 * [backup-simplify]: Simplify (- 0) into 0 15.599 * [backup-simplify]: Simplify (+ 0 0) into 0 15.599 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.602 * [backup-simplify]: 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 15.603 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.603 * [backup-simplify]: Simplify (+ 0 1) into 1 15.604 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.605 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 15.606 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 15.606 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 15.606 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 15.606 * [taylor]: Taking taylor expansion of 2 in J 15.606 * [backup-simplify]: Simplify 2 into 2 15.606 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 15.606 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.606 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.606 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.606 * [taylor]: Taking taylor expansion of 1/2 in J 15.606 * [backup-simplify]: Simplify 1/2 into 1/2 15.606 * [taylor]: Taking taylor expansion of K in J 15.606 * [backup-simplify]: Simplify K into K 15.606 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.606 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.606 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.606 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.606 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.606 * [backup-simplify]: Simplify (- 0) into 0 15.606 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.606 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.606 * [taylor]: Taking taylor expansion of J in J 15.606 * [backup-simplify]: Simplify 0 into 0 15.607 * [backup-simplify]: Simplify 1 into 1 15.607 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.607 * [backup-simplify]: Simplify (* 1 1) into 1 15.607 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 15.607 * [backup-simplify]: Simplify (+ 0) into 0 15.608 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.608 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.608 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.608 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.609 * [backup-simplify]: Simplify (- 0) into 0 15.609 * [backup-simplify]: Simplify (+ 0 0) into 0 15.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 15.610 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.611 * [backup-simplify]: Simplify (- 0) into 0 15.611 * [taylor]: Taking taylor expansion of 0 in K 15.611 * [backup-simplify]: Simplify 0 into 0 15.611 * [backup-simplify]: Simplify 0 into 0 15.611 * [taylor]: Taking taylor expansion of 0 in K 15.611 * [backup-simplify]: Simplify 0 into 0 15.611 * [backup-simplify]: Simplify 0 into 0 15.611 * [taylor]: Taking taylor expansion of 0 in K 15.611 * [backup-simplify]: Simplify 0 into 0 15.611 * [backup-simplify]: Simplify 0 into 0 15.611 * [backup-simplify]: Simplify 0 into 0 15.611 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.612 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.612 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.613 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.614 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.614 * [backup-simplify]: Simplify (- 0) into 0 15.614 * [backup-simplify]: Simplify (+ 0 0) into 0 15.614 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 15.615 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.616 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.616 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.616 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.617 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.618 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.618 * [backup-simplify]: Simplify (- 0) into 0 15.618 * [backup-simplify]: Simplify (+ 0 0) into 0 15.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.621 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.625 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.626 * [backup-simplify]: Simplify (+ 0 0) into 0 15.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.626 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 15.627 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 15.627 * [taylor]: Taking taylor expansion of 0 in J 15.627 * [backup-simplify]: Simplify 0 into 0 15.628 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.628 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.628 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.629 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.629 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.629 * [backup-simplify]: Simplify (- 0) into 0 15.630 * [backup-simplify]: Simplify (+ 0 0) into 0 15.630 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.632 * [backup-simplify]: Simplify (- 0) into 0 15.632 * [taylor]: Taking taylor expansion of 0 in K 15.632 * [backup-simplify]: Simplify 0 into 0 15.632 * [backup-simplify]: Simplify 0 into 0 15.632 * [taylor]: Taking taylor expansion of 0 in K 15.633 * [backup-simplify]: Simplify 0 into 0 15.633 * [backup-simplify]: Simplify 0 into 0 15.633 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 15.633 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 15.633 * [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 (U J K) around 0 15.633 * [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 15.633 * [taylor]: Taking taylor expansion of 2 in K 15.633 * [backup-simplify]: Simplify 2 into 2 15.633 * [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 15.633 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 15.633 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.633 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.633 * [taylor]: Taking taylor expansion of -1/2 in K 15.633 * [backup-simplify]: Simplify -1/2 into -1/2 15.633 * [taylor]: Taking taylor expansion of K in K 15.633 * [backup-simplify]: Simplify 0 into 0 15.633 * [backup-simplify]: Simplify 1 into 1 15.634 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.634 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.634 * [taylor]: Taking taylor expansion of J in K 15.634 * [backup-simplify]: Simplify J into J 15.634 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 15.634 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.634 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.634 * [taylor]: Taking taylor expansion of 1 in K 15.634 * [backup-simplify]: Simplify 1 into 1 15.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.634 * [taylor]: Taking taylor expansion of 1/4 in K 15.634 * [backup-simplify]: Simplify 1/4 into 1/4 15.634 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.634 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.634 * [taylor]: Taking taylor expansion of J in K 15.634 * [backup-simplify]: Simplify J into J 15.634 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.634 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.634 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.634 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.634 * [taylor]: Taking taylor expansion of -1/2 in K 15.634 * [backup-simplify]: Simplify -1/2 into -1/2 15.634 * [taylor]: Taking taylor expansion of K in K 15.634 * [backup-simplify]: Simplify 0 into 0 15.634 * [backup-simplify]: Simplify 1 into 1 15.634 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.634 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.634 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.634 * [taylor]: Taking taylor expansion of U in K 15.635 * [backup-simplify]: Simplify U into U 15.635 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.635 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.635 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.635 * [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))) 15.635 * [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)))) 15.635 * [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))))) 15.635 * [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)))))) 15.636 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.636 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.636 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.636 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.636 * [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 15.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.637 * [backup-simplify]: Simplify (+ 0 0) into 0 15.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.637 * [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 15.637 * [taylor]: Taking taylor expansion of 2 in J 15.637 * [backup-simplify]: Simplify 2 into 2 15.637 * [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 15.637 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.637 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.637 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.637 * [taylor]: Taking taylor expansion of -1/2 in J 15.637 * [backup-simplify]: Simplify -1/2 into -1/2 15.637 * [taylor]: Taking taylor expansion of K in J 15.637 * [backup-simplify]: Simplify K into K 15.637 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.637 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.637 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.637 * [taylor]: Taking taylor expansion of J in J 15.637 * [backup-simplify]: Simplify 0 into 0 15.638 * [backup-simplify]: Simplify 1 into 1 15.638 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.638 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.638 * [backup-simplify]: Simplify (- 0) into 0 15.638 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.638 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.638 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.638 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.638 * [taylor]: Taking taylor expansion of 1 in J 15.638 * [backup-simplify]: Simplify 1 into 1 15.638 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.638 * [taylor]: Taking taylor expansion of 1/4 in J 15.638 * [backup-simplify]: Simplify 1/4 into 1/4 15.638 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.638 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.638 * [taylor]: Taking taylor expansion of J in J 15.638 * [backup-simplify]: Simplify 0 into 0 15.638 * [backup-simplify]: Simplify 1 into 1 15.638 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.638 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.638 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.638 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.638 * [taylor]: Taking taylor expansion of -1/2 in J 15.638 * [backup-simplify]: Simplify -1/2 into -1/2 15.638 * [taylor]: Taking taylor expansion of K in J 15.638 * [backup-simplify]: Simplify K into K 15.638 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.638 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.638 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.638 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.639 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.639 * [backup-simplify]: Simplify (- 0) into 0 15.639 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.639 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.639 * [taylor]: Taking taylor expansion of U in J 15.639 * [backup-simplify]: Simplify U into U 15.639 * [backup-simplify]: Simplify (* 1 1) into 1 15.639 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.639 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.639 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.640 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.640 * [backup-simplify]: Simplify (+ 1 0) into 1 15.640 * [backup-simplify]: Simplify (sqrt 1) into 1 15.640 * [backup-simplify]: Simplify (+ 0 0) into 0 15.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.641 * [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 15.641 * [taylor]: Taking taylor expansion of 2 in U 15.641 * [backup-simplify]: Simplify 2 into 2 15.641 * [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 15.641 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 15.641 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.641 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.641 * [taylor]: Taking taylor expansion of -1/2 in U 15.641 * [backup-simplify]: Simplify -1/2 into -1/2 15.641 * [taylor]: Taking taylor expansion of K in U 15.641 * [backup-simplify]: Simplify K into K 15.641 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.641 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.641 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.641 * [taylor]: Taking taylor expansion of J in U 15.641 * [backup-simplify]: Simplify J into J 15.641 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.641 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.641 * [backup-simplify]: Simplify (- 0) into 0 15.642 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.642 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 15.642 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.642 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.642 * [taylor]: Taking taylor expansion of 1 in U 15.642 * [backup-simplify]: Simplify 1 into 1 15.642 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.642 * [taylor]: Taking taylor expansion of 1/4 in U 15.642 * [backup-simplify]: Simplify 1/4 into 1/4 15.642 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.642 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.642 * [taylor]: Taking taylor expansion of J in U 15.642 * [backup-simplify]: Simplify J into J 15.642 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.642 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.642 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.642 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.642 * [taylor]: Taking taylor expansion of -1/2 in U 15.642 * [backup-simplify]: Simplify -1/2 into -1/2 15.642 * [taylor]: Taking taylor expansion of K in U 15.642 * [backup-simplify]: Simplify K into K 15.642 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.642 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.642 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.642 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.642 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.642 * [backup-simplify]: Simplify (- 0) into 0 15.642 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.642 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.643 * [taylor]: Taking taylor expansion of U in U 15.643 * [backup-simplify]: Simplify 0 into 0 15.643 * [backup-simplify]: Simplify 1 into 1 15.643 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.643 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.643 * [backup-simplify]: Simplify (* 1 1) into 1 15.643 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.643 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.643 * [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))) 15.643 * [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))) 15.644 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.644 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.644 * [backup-simplify]: Simplify (+ 0) into 0 15.645 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.645 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.645 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.646 * [backup-simplify]: Simplify (- 0) into 0 15.646 * [backup-simplify]: Simplify (+ 0 0) into 0 15.646 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.646 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.647 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.647 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.647 * [backup-simplify]: Simplify (+ 0 0) into 0 15.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.648 * [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 15.648 * [taylor]: Taking taylor expansion of 2 in U 15.648 * [backup-simplify]: Simplify 2 into 2 15.648 * [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 15.648 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 15.648 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.648 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.648 * [taylor]: Taking taylor expansion of -1/2 in U 15.648 * [backup-simplify]: Simplify -1/2 into -1/2 15.648 * [taylor]: Taking taylor expansion of K in U 15.648 * [backup-simplify]: Simplify K into K 15.648 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.648 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.648 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.648 * [taylor]: Taking taylor expansion of J in U 15.648 * [backup-simplify]: Simplify J into J 15.648 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.648 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.648 * [backup-simplify]: Simplify (- 0) into 0 15.648 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.648 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 15.648 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.648 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.648 * [taylor]: Taking taylor expansion of 1 in U 15.648 * [backup-simplify]: Simplify 1 into 1 15.648 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.648 * [taylor]: Taking taylor expansion of 1/4 in U 15.648 * [backup-simplify]: Simplify 1/4 into 1/4 15.648 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.648 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.648 * [taylor]: Taking taylor expansion of J in U 15.649 * [backup-simplify]: Simplify J into J 15.649 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.649 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.649 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.649 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.649 * [taylor]: Taking taylor expansion of -1/2 in U 15.649 * [backup-simplify]: Simplify -1/2 into -1/2 15.649 * [taylor]: Taking taylor expansion of K in U 15.649 * [backup-simplify]: Simplify K into K 15.649 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.649 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.649 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.649 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.649 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.649 * [backup-simplify]: Simplify (- 0) into 0 15.649 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.649 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.649 * [taylor]: Taking taylor expansion of U in U 15.649 * [backup-simplify]: Simplify 0 into 0 15.649 * [backup-simplify]: Simplify 1 into 1 15.649 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.649 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.650 * [backup-simplify]: Simplify (* 1 1) into 1 15.650 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.650 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.650 * [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))) 15.651 * [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))) 15.651 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.651 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.652 * [backup-simplify]: Simplify (+ 0) into 0 15.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.654 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.654 * [backup-simplify]: Simplify (- 0) into 0 15.655 * [backup-simplify]: Simplify (+ 0 0) into 0 15.655 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.655 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.656 * [backup-simplify]: 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 15.656 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.657 * [backup-simplify]: Simplify (+ 0 0) into 0 15.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.658 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 15.658 * [backup-simplify]: Simplify (* 2 1/2) into 1 15.658 * [taylor]: Taking taylor expansion of 1 in J 15.658 * [backup-simplify]: Simplify 1 into 1 15.658 * [backup-simplify]: Simplify (+ 0) into 0 15.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.659 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.660 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.661 * [backup-simplify]: Simplify (- 0) into 0 15.661 * [backup-simplify]: Simplify (+ 0 0) into 0 15.661 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 15.662 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.663 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 15.663 * [taylor]: Taking taylor expansion of 0 in J 15.663 * [backup-simplify]: Simplify 0 into 0 15.663 * [taylor]: Taking taylor expansion of 1 in K 15.663 * [backup-simplify]: Simplify 1 into 1 15.663 * [backup-simplify]: Simplify 1 into 1 15.664 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.665 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.666 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.666 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.667 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.668 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.668 * [backup-simplify]: Simplify (- 0) into 0 15.669 * [backup-simplify]: Simplify (+ 0 0) into 0 15.669 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.670 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.671 * [backup-simplify]: 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 15.672 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.672 * [backup-simplify]: Simplify (+ 1 0) into 1 15.673 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.674 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.674 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.674 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.675 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.675 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.675 * [backup-simplify]: Simplify (- 0) into 0 15.676 * [backup-simplify]: Simplify (+ 0 0) into 0 15.676 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 15.676 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 15.677 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 15.677 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 15.677 * [taylor]: Taking taylor expansion of 2 in J 15.677 * [backup-simplify]: Simplify 2 into 2 15.677 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 15.677 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.677 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.677 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.677 * [taylor]: Taking taylor expansion of -1/2 in J 15.677 * [backup-simplify]: Simplify -1/2 into -1/2 15.677 * [taylor]: Taking taylor expansion of K in J 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 * [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 15.677 * [backup-simplify]: Simplify (- 0) into 0 15.677 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.677 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.677 * [taylor]: Taking taylor expansion of J in J 15.677 * [backup-simplify]: Simplify 0 into 0 15.677 * [backup-simplify]: Simplify 1 into 1 15.678 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.678 * [backup-simplify]: Simplify (* 1 1) into 1 15.678 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.678 * [backup-simplify]: Simplify (+ 0) into 0 15.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.679 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.679 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.679 * [backup-simplify]: Simplify (- 0) into 0 15.680 * [backup-simplify]: Simplify (+ 0 0) into 0 15.680 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 15.681 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 15.681 * [taylor]: Taking taylor expansion of 0 in K 15.681 * [backup-simplify]: Simplify 0 into 0 15.681 * [backup-simplify]: Simplify 0 into 0 15.681 * [taylor]: Taking taylor expansion of 0 in K 15.681 * [backup-simplify]: Simplify 0 into 0 15.681 * [backup-simplify]: Simplify 0 into 0 15.681 * [taylor]: Taking taylor expansion of 0 in K 15.681 * [backup-simplify]: Simplify 0 into 0 15.681 * [backup-simplify]: Simplify 0 into 0 15.681 * [backup-simplify]: Simplify 0 into 0 15.682 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.683 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.684 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.684 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.685 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.685 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.685 * [backup-simplify]: Simplify (- 0) into 0 15.685 * [backup-simplify]: Simplify (+ 0 0) into 0 15.686 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 15.687 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.687 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.688 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.688 * [backup-simplify]: Simplify (+ 0 0) into 0 15.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.689 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.689 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.690 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.691 * [backup-simplify]: Simplify (- 0) into 0 15.691 * [backup-simplify]: Simplify (+ 0 0) into 0 15.691 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 15.692 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 15.692 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 15.692 * [taylor]: Taking taylor expansion of 0 in J 15.692 * [backup-simplify]: Simplify 0 into 0 15.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.694 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.694 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.694 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.695 * [backup-simplify]: Simplify (- 0) into 0 15.695 * [backup-simplify]: Simplify (+ 0 0) into 0 15.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.697 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 15.697 * [taylor]: Taking taylor expansion of 0 in K 15.697 * [backup-simplify]: Simplify 0 into 0 15.697 * [backup-simplify]: Simplify 0 into 0 15.697 * [taylor]: Taking taylor expansion of 0 in K 15.697 * [backup-simplify]: Simplify 0 into 0 15.697 * [backup-simplify]: Simplify 0 into 0 15.697 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 15.698 * * * [progress]: simplifying candidates 15.698 * * * * [progress]: [ 1 / 87 ] simplifiying candidate # 15.698 * * * * [progress]: [ 2 / 87 ] simplifiying candidate # 15.698 * * * * [progress]: [ 3 / 87 ] simplifiying candidate # 15.698 * * * * [progress]: [ 4 / 87 ] simplifiying candidate # 15.698 * * * * [progress]: [ 5 / 87 ] simplifiying candidate # 15.698 * * * * [progress]: [ 6 / 87 ] simplifiying candidate # 15.698 * * * * [progress]: [ 7 / 87 ] simplifiying candidate # 15.698 * * * * [progress]: [ 8 / 87 ] simplifiying candidate # 15.698 * * * * [progress]: [ 9 / 87 ] simplifiying candidate # 15.699 * * * * [progress]: [ 10 / 87 ] simplifiying candidate # 15.699 * * * * [progress]: [ 11 / 87 ] simplifiying candidate # 15.699 * * * * [progress]: [ 12 / 87 ] simplifiying candidate # 15.699 * * * * [progress]: [ 13 / 87 ] simplifiying candidate # 15.699 * * * * [progress]: [ 14 / 87 ] simplifiying candidate # 15.699 * * * * [progress]: [ 15 / 87 ] simplifiying candidate # 15.699 * * * * [progress]: [ 16 / 87 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))> 15.699 * * * * [progress]: [ 17 / 87 ] simplifiying candidate # 15.699 * * * * [progress]: [ 18 / 87 ] simplifiying candidate # 15.699 * * * * [progress]: [ 19 / 87 ] simplifiying candidate # 15.699 * * * * [progress]: [ 20 / 87 ] simplifiying candidate # 15.700 * * * * [progress]: [ 21 / 87 ] simplifiying candidate # 15.700 * * * * [progress]: [ 22 / 87 ] simplifiying candidate # 15.700 * * * * [progress]: [ 23 / 87 ] simplifiying candidate # 15.700 * * * * [progress]: [ 24 / 87 ] simplifiying candidate # 15.700 * * * * [progress]: [ 25 / 87 ] simplifiying candidate # 15.700 * * * * [progress]: [ 26 / 87 ] simplifiying candidate # 15.700 * * * * [progress]: [ 27 / 87 ] simplifiying candidate # 15.700 * * * * [progress]: [ 28 / 87 ] simplifiying candidate # 15.700 * * * * [progress]: [ 29 / 87 ] simplifiying candidate # 15.701 * * * * [progress]: [ 30 / 87 ] simplifiying candidate # 15.701 * * * * [progress]: [ 31 / 87 ] simplifiying candidate # 15.701 * * * * [progress]: [ 32 / 87 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> 15.701 * * * * [progress]: [ 33 / 87 ] simplifiying candidate # 15.701 * * * * [progress]: [ 34 / 87 ] simplifiying candidate # 15.701 * * * * [progress]: [ 35 / 87 ] simplifiying candidate # 15.701 * * * * [progress]: [ 36 / 87 ] simplifiying candidate # 15.701 * * * * [progress]: [ 37 / 87 ] simplifiying candidate # 15.701 * * * * [progress]: [ 38 / 87 ] simplifiying candidate # 15.701 * * * * [progress]: [ 39 / 87 ] simplifiying candidate # 15.702 * * * * [progress]: [ 40 / 87 ] simplifiying candidate # 15.702 * * * * [progress]: [ 41 / 87 ] simplifiying candidate # 15.702 * * * * [progress]: [ 42 / 87 ] simplifiying candidate # 15.702 * * * * [progress]: [ 43 / 87 ] simplifiying candidate # 15.702 * * * * [progress]: [ 44 / 87 ] simplifiying candidate # 15.702 * * * * [progress]: [ 45 / 87 ] simplifiying candidate # 15.702 * * * * [progress]: [ 46 / 87 ] simplifiying candidate # 15.702 * * * * [progress]: [ 47 / 87 ] simplifiying candidate # 15.702 * * * * [progress]: [ 48 / 87 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> 15.702 * * * * [progress]: [ 49 / 87 ] simplifiying candidate # 15.702 * * * * [progress]: [ 50 / 87 ] simplifiying candidate # 15.703 * * * * [progress]: [ 51 / 87 ] simplifiying candidate # 15.703 * * * * [progress]: [ 52 / 87 ] simplifiying candidate # 15.703 * * * * [progress]: [ 53 / 87 ] simplifiying candidate # 15.703 * * * * [progress]: [ 54 / 87 ] simplifiying candidate # 15.703 * * * * [progress]: [ 55 / 87 ] simplifiying candidate # 15.703 * * * * [progress]: [ 56 / 87 ] simplifiying candidate # 15.703 * * * * [progress]: [ 57 / 87 ] simplifiying candidate # 15.703 * * * * [progress]: [ 58 / 87 ] simplifiying candidate # 15.703 * * * * [progress]: [ 59 / 87 ] simplifiying candidate # 15.703 * * * * [progress]: [ 60 / 87 ] simplifiying candidate # 15.703 * * * * [progress]: [ 61 / 87 ] simplifiying candidate # 15.704 * * * * [progress]: [ 62 / 87 ] simplifiying candidate # 15.704 * * * * [progress]: [ 63 / 87 ] simplifiying candidate # 15.704 * * * * [progress]: [ 64 / 87 ] simplifiying candidate # 15.704 * * * * [progress]: [ 65 / 87 ] simplifiying candidate # 15.704 * * * * [progress]: [ 66 / 87 ] simplifiying candidate # 15.704 * * * * [progress]: [ 67 / 87 ] simplifiying candidate # 15.704 * * * * [progress]: [ 68 / 87 ] simplifiying candidate # 15.704 * * * * [progress]: [ 69 / 87 ] simplifiying candidate # 15.704 * * * * [progress]: [ 70 / 87 ] simplifiying candidate # 15.704 * * * * [progress]: [ 71 / 87 ] simplifiying candidate # 15.705 * * * * [progress]: [ 72 / 87 ] simplifiying candidate # 15.705 * * * * [progress]: [ 73 / 87 ] simplifiying candidate # 15.705 * * * * [progress]: [ 74 / 87 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))> 15.705 * * * * [progress]: [ 75 / 87 ] simplifiying candidate # 15.705 * * * * [progress]: [ 76 / 87 ] simplifiying candidate # 15.705 * * * * [progress]: [ 77 / 87 ] simplifiying candidate # 15.705 * * * * [progress]: [ 78 / 87 ] simplifiying candidate # 15.705 * * * * [progress]: [ 79 / 87 ] simplifiying candidate # 15.705 * * * * [progress]: [ 80 / 87 ] simplifiying candidate # 15.705 * * * * [progress]: [ 81 / 87 ] simplifiying candidate # 15.705 * * * * [progress]: [ 82 / 87 ] simplifiying candidate # 15.706 * * * * [progress]: [ 83 / 87 ] simplifiying candidate # 15.706 * * * * [progress]: [ 84 / 87 ] simplifiying candidate # 15.706 * * * * [progress]: [ 85 / 87 ] simplifiying candidate # 15.706 * * * * [progress]: [ 86 / 87 ] simplifiying candidate # 15.706 * * * * [progress]: [ 87 / 87 ] simplifiying candidate # 15.708 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 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* * [simplify]: Extracting #0: cost 33 inf + 0 16.854 * * [simplify]: Extracting #1: cost 293 inf + 2 16.857 * * [simplify]: Extracting #2: cost 1038 inf + 999 16.863 * * [simplify]: Extracting #3: cost 1362 inf + 7663 16.871 * * [simplify]: Extracting #4: cost 1472 inf + 12771 16.882 * * [simplify]: Extracting #5: cost 1381 inf + 31494 16.924 * * [simplify]: Extracting #6: cost 825 inf + 206006 17.040 * * [simplify]: Extracting #7: cost 281 inf + 444642 17.222 * * [simplify]: Extracting #8: cost 15 inf + 582175 17.442 * * [simplify]: Extracting #9: cost 0 inf + 589636 17.645 * [simplify]: Simplified to: (log (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1))) (exp (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1))) (* (cbrt (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1))) (cbrt (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)))) (cbrt (sqrt (+ (* (/ (/ U J) (* 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2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)))) (* (* (cos (/ K 2)) (* J -2)) (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)))) (* (cbrt (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (cos (/ K 2)) (* J -2)))) (cbrt (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (cos (/ K 2)) (* J -2))))) (cbrt (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (cos (/ K 2)) (* J -2)))) (* (* (cos (/ K 2)) (* J -2)) (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)))) (sqrt (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (cos (/ K 2)) (* J -2)))) (sqrt (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (cos (/ K 2)) (* J -2)))) (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (cos (/ K 2))) (* (* (cbrt (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1))) (* (cos (/ K 2)) J)) -2) (* (* (cos (/ K 2)) (* J -2)) (sqrt (cbrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)))) (* (* J -2) (* (sqrt (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1))) (cos (/ K 2)))) (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (cos (/ K 2)) (* J -2))) (* (* J -2) (* (sqrt (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1))) (cos (/ K 2)))) (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (cos (/ K 2)) (* J -2))) (* (* (sqrt (+ (* (* (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) (/ (/ U J) (* (cos (/ K 2)) 2))) (* (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) (/ (/ U J) (* (cos (/ K 2)) 2)))) 1)) -2) (* (cos (/ K 2)) J)) (* (sqrt (+ -1 (* (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* J -2))) (real->posit16 (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (cos (/ K 2)) (* J -2)))) 1 (/ (* (/ 1/2 J) U) (cos (* 1/2 K))) (/ (* (/ 1/2 J) U) (cos (* 1/2 K))) 1 (/ (* (/ 1/2 J) U) (cos (* 1/2 K))) (/ (* (/ 1/2 J) U) (cos (* 1/2 K))) 1 (/ (* (/ 1/2 J) U) (cos (* 1/2 K))) (/ (* (/ 1/2 J) U) (cos (* 1/2 K))) (+ (/ (* (* U U) -1/4) J) (* J -2)) (- U) (- U) 17.666 * * * [progress]: adding candidates to table 19.664 * [progress]: [Phase 3 of 3] Extracting. 19.664 * * [regime]: Finding splitpoints for: (# #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> # # # # # #) 19.667 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 19.667 * * * * [regimes]: Trying to branch on U from (# #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> # # # # # #) 19.770 * * * * [regimes]: Trying to branch on K from (# #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> # # # # # #) 19.886 * * * * [regimes]: Trying to branch on (/ K 2) from (# #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> # # # # # #) 20.003 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> # # # # # #) 20.091 * * * * [regimes]: Trying to branch on J from (# #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> # # # # # #) 20.213 * * * [regime]: Found split indices: #