0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.194 * * * [progress]: [2/2] Setting up program. 0.202 * [progress]: [Phase 2 of 3] Improving. 0.202 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.202 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.203 * * [simplify]: iteration 1: (17 enodes) 0.211 * * [simplify]: iteration 2: (70 enodes) 0.223 * * [simplify]: iteration 3: (131 enodes) 0.251 * * [simplify]: iteration 4: (298 enodes) 0.755 * * [simplify]: iteration 5: (852 enodes) 1.385 * * [simplify]: Extracting #0: cost 1 inf + 0 1.385 * * [simplify]: Extracting #1: cost 16 inf + 0 1.385 * * [simplify]: Extracting #2: cost 30 inf + 2 1.385 * * [simplify]: Extracting #3: cost 63 inf + 87 1.386 * * [simplify]: Extracting #4: cost 304 inf + 1318 1.393 * * [simplify]: Extracting #5: cost 685 inf + 18275 1.435 * * [simplify]: Extracting #6: cost 384 inf + 118135 1.503 * * [simplify]: Extracting #7: cost 168 inf + 238568 1.616 * * [simplify]: Extracting #8: cost 22 inf + 333936 1.714 * * [simplify]: Extracting #9: cost 0 inf + 349746 1.786 * [simplify]: Simplified to: (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J)) 1.803 * * [progress]: iteration 1 / 4 1.803 * * * [progress]: picking best candidate 1.812 * * * * [pick]: Picked # 1.812 * * * [progress]: localizing error 1.881 * * * [progress]: generating rewritten candidates 1.881 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.906 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 1.920 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.933 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.956 * * * [progress]: generating series expansions 1.956 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.956 * [backup-simplify]: Simplify (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J)) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 1.956 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 1.956 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 1.956 * [taylor]: Taking taylor expansion of -2 in K 1.956 * [backup-simplify]: Simplify -2 into -2 1.956 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 1.956 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.956 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.956 * [taylor]: Taking taylor expansion of 1/2 in K 1.956 * [backup-simplify]: Simplify 1/2 into 1/2 1.956 * [taylor]: Taking taylor expansion of K in K 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.958 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.958 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 1.958 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 1.958 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.958 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 1.958 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.958 * [taylor]: Taking taylor expansion of 1 in K 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [taylor]: Taking taylor expansion of 1 in K 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 1.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.958 * [taylor]: Taking taylor expansion of 1/2 in K 1.958 * [backup-simplify]: Simplify 1/2 into 1/2 1.958 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.958 * [taylor]: Taking taylor expansion of U in K 1.958 * [backup-simplify]: Simplify U into U 1.958 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.958 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.958 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.958 * [taylor]: Taking taylor expansion of 1/2 in K 1.958 * [backup-simplify]: Simplify 1/2 into 1/2 1.958 * [taylor]: Taking taylor expansion of K in K 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.959 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.959 * [taylor]: Taking taylor expansion of J in K 1.959 * [backup-simplify]: Simplify J into J 1.959 * [backup-simplify]: Simplify (* 1 J) into J 1.959 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.959 * [taylor]: Taking taylor expansion of 1/2 in K 1.959 * [backup-simplify]: Simplify 1/2 into 1/2 1.959 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.959 * [taylor]: Taking taylor expansion of U in K 1.959 * [backup-simplify]: Simplify U into U 1.959 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.959 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.959 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.959 * [taylor]: Taking taylor expansion of 1/2 in K 1.959 * [backup-simplify]: Simplify 1/2 into 1/2 1.959 * [taylor]: Taking taylor expansion of K in K 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.960 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.960 * [taylor]: Taking taylor expansion of J in K 1.960 * [backup-simplify]: Simplify J into J 1.960 * [backup-simplify]: Simplify (* 1 J) into J 1.960 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.961 * [backup-simplify]: Simplify (* 1 1) into 1 1.961 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 1.961 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 1.961 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.961 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.961 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.962 * [backup-simplify]: Simplify (+ 0) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.963 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 1.963 * [backup-simplify]: Simplify (+ 0) into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 1.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 1.964 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.965 * [taylor]: Taking taylor expansion of J in K 1.965 * [backup-simplify]: Simplify J into J 1.965 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 1.965 * [taylor]: Taking taylor expansion of -2 in J 1.965 * [backup-simplify]: Simplify -2 into -2 1.965 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 1.965 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.965 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.965 * [taylor]: Taking taylor expansion of 1/2 in J 1.965 * [backup-simplify]: Simplify 1/2 into 1/2 1.965 * [taylor]: Taking taylor expansion of K in J 1.965 * [backup-simplify]: Simplify K into K 1.965 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.965 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.965 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.965 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 1.965 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 1.965 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.965 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 1.965 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.965 * [taylor]: Taking taylor expansion of 1 in J 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [taylor]: Taking taylor expansion of 1 in J 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 1.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.965 * [taylor]: Taking taylor expansion of 1/2 in J 1.965 * [backup-simplify]: Simplify 1/2 into 1/2 1.965 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.965 * [taylor]: Taking taylor expansion of U in J 1.965 * [backup-simplify]: Simplify U into U 1.965 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.965 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.965 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.965 * [taylor]: Taking taylor expansion of 1/2 in J 1.965 * [backup-simplify]: Simplify 1/2 into 1/2 1.965 * [taylor]: Taking taylor expansion of K in J 1.965 * [backup-simplify]: Simplify K into K 1.965 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.965 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.965 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.965 * [taylor]: Taking taylor expansion of J in J 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.966 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.966 * [backup-simplify]: Simplify (- 0) into 0 1.966 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.966 * [backup-simplify]: Simplify (+ 0) into 0 1.967 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.968 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.968 * [backup-simplify]: Simplify (- 0) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.969 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.969 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.969 * [taylor]: Taking taylor expansion of 1/2 in J 1.969 * [backup-simplify]: Simplify 1/2 into 1/2 1.969 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.969 * [taylor]: Taking taylor expansion of U in J 1.969 * [backup-simplify]: Simplify U into U 1.969 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.969 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.969 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.969 * [taylor]: Taking taylor expansion of 1/2 in J 1.969 * [backup-simplify]: Simplify 1/2 into 1/2 1.969 * [taylor]: Taking taylor expansion of K in J 1.969 * [backup-simplify]: Simplify K into K 1.969 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.969 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.969 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.969 * [taylor]: Taking taylor expansion of J in J 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.969 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.969 * [backup-simplify]: Simplify (- 0) into 0 1.969 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.969 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.970 * [backup-simplify]: Simplify (+ 0) into 0 1.970 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.971 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.971 * [backup-simplify]: Simplify (- 0) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.972 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.972 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.972 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.972 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.972 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.973 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.974 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.975 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.976 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.976 * [backup-simplify]: Simplify (- 0) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.977 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 1.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.978 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.979 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.980 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.981 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 1.982 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.982 * [taylor]: Taking taylor expansion of J in J 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 1.983 * [taylor]: Taking taylor expansion of -2 in U 1.983 * [backup-simplify]: Simplify -2 into -2 1.983 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 1.983 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.983 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.983 * [taylor]: Taking taylor expansion of 1/2 in U 1.983 * [backup-simplify]: Simplify 1/2 into 1/2 1.983 * [taylor]: Taking taylor expansion of K in U 1.983 * [backup-simplify]: Simplify K into K 1.983 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.983 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.983 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.983 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 1.983 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.983 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.983 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 1.983 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.983 * [taylor]: Taking taylor expansion of 1 in U 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [taylor]: Taking taylor expansion of 1 in U 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.983 * [taylor]: Taking taylor expansion of 1/2 in U 1.983 * [backup-simplify]: Simplify 1/2 into 1/2 1.983 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.983 * [taylor]: Taking taylor expansion of U in U 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.983 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.983 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.983 * [taylor]: Taking taylor expansion of 1/2 in U 1.983 * [backup-simplify]: Simplify 1/2 into 1/2 1.983 * [taylor]: Taking taylor expansion of K in U 1.983 * [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 * [taylor]: Taking taylor expansion of J in U 1.984 * [backup-simplify]: Simplify J into J 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 1.984 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.984 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.985 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.985 * [taylor]: Taking taylor expansion of 1/2 in U 1.985 * [backup-simplify]: Simplify 1/2 into 1/2 1.985 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.985 * [taylor]: Taking taylor expansion of U in U 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.985 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.985 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.985 * [taylor]: Taking taylor expansion of 1/2 in U 1.985 * [backup-simplify]: Simplify 1/2 into 1/2 1.985 * [taylor]: Taking taylor expansion of K in U 1.985 * [backup-simplify]: Simplify K into K 1.985 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.985 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.985 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.985 * [taylor]: Taking taylor expansion of J in U 1.985 * [backup-simplify]: Simplify J into J 1.985 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.985 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.986 * [backup-simplify]: Simplify (- 0) into 0 1.986 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.986 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.986 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.986 * [backup-simplify]: Simplify (* 1 1) into 1 1.987 * [backup-simplify]: Simplify (+ 1 0) into 1 1.987 * [backup-simplify]: Simplify (sqrt 1) into 1 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.988 * [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 J in U 1.989 * [backup-simplify]: Simplify J into J 1.989 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 1.989 * [taylor]: Taking taylor expansion of -2 in U 1.989 * [backup-simplify]: Simplify -2 into -2 1.989 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 1.989 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.989 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.989 * [taylor]: Taking taylor expansion of 1/2 in U 1.989 * [backup-simplify]: Simplify 1/2 into 1/2 1.989 * [taylor]: Taking taylor expansion of K in U 1.989 * [backup-simplify]: Simplify K into K 1.989 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.989 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.989 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.989 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 1.989 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.989 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.989 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 1.989 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.989 * [taylor]: Taking taylor expansion of 1 in U 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [taylor]: Taking taylor expansion of 1 in U 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.990 * [taylor]: Taking taylor expansion of 1/2 in U 1.990 * [backup-simplify]: Simplify 1/2 into 1/2 1.990 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.990 * [taylor]: Taking taylor expansion of U in U 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.990 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.990 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.990 * [taylor]: Taking taylor expansion of 1/2 in U 1.990 * [backup-simplify]: Simplify 1/2 into 1/2 1.990 * [taylor]: Taking taylor expansion of K in U 1.990 * [backup-simplify]: Simplify K into K 1.990 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.990 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.990 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.990 * [taylor]: Taking taylor expansion of J in U 1.990 * [backup-simplify]: Simplify J into J 1.990 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.990 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.991 * [backup-simplify]: Simplify (- 0) into 0 1.991 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.991 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.991 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.991 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.991 * [taylor]: Taking taylor expansion of 1/2 in U 1.991 * [backup-simplify]: Simplify 1/2 into 1/2 1.991 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.991 * [taylor]: Taking taylor expansion of U in U 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.991 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.991 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.991 * [taylor]: Taking taylor expansion of 1/2 in U 1.991 * [backup-simplify]: Simplify 1/2 into 1/2 1.991 * [taylor]: Taking taylor expansion of K in U 1.991 * [backup-simplify]: Simplify K into K 1.991 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.991 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.991 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.991 * [taylor]: Taking taylor expansion of J in U 1.991 * [backup-simplify]: Simplify J into J 1.991 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.991 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.992 * [backup-simplify]: Simplify (- 0) into 0 1.992 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.992 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.992 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (+ 1 0) into 1 1.993 * [backup-simplify]: Simplify (sqrt 1) into 1 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.995 * [taylor]: Taking taylor expansion of J in U 1.995 * [backup-simplify]: Simplify J into J 1.995 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.995 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.996 * [backup-simplify]: Simplify (* 1 J) into J 1.996 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.996 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.996 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.996 * [taylor]: Taking taylor expansion of -2 in J 1.996 * [backup-simplify]: Simplify -2 into -2 1.996 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.996 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.996 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.996 * [taylor]: Taking taylor expansion of 1/2 in J 1.996 * [backup-simplify]: Simplify 1/2 into 1/2 1.996 * [taylor]: Taking taylor expansion of K in J 1.996 * [backup-simplify]: Simplify K into K 1.996 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.996 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.996 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.996 * [taylor]: Taking taylor expansion of J in J 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.997 * [backup-simplify]: Simplify (+ 0) into 0 1.998 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.998 * [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 2.000 * [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 J)) into 0 2.001 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 2.001 * [taylor]: Taking taylor expansion of 0 in J 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.001 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.003 * [backup-simplify]: Simplify (- 0) into 0 2.003 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.003 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.003 * [backup-simplify]: Simplify (* -2 0) into 0 2.003 * [taylor]: Taking taylor expansion of 0 in K 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.004 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 2.004 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 2.004 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.004 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.005 * [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))) 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 2.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.007 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.009 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 2.010 * [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)))) 2.010 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 2.010 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 2.010 * [taylor]: Taking taylor expansion of 1/4 in J 2.010 * [backup-simplify]: Simplify 1/4 into 1/4 2.010 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 2.010 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.010 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.010 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.010 * [taylor]: Taking taylor expansion of 1/2 in J 2.010 * [backup-simplify]: Simplify 1/2 into 1/2 2.010 * [taylor]: Taking taylor expansion of K in J 2.010 * [backup-simplify]: Simplify K into K 2.010 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.010 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.010 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.010 * [taylor]: Taking taylor expansion of J in J 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.010 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.011 * [backup-simplify]: Simplify (- 0) into 0 2.011 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.011 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.011 * [backup-simplify]: Simplify (+ 0) into 0 2.011 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.012 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.013 * [backup-simplify]: Simplify (- 0) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.013 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 2.013 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 2.013 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 2.014 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 2.014 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 2.014 * [taylor]: Taking taylor expansion of 1/4 in K 2.014 * [backup-simplify]: Simplify 1/4 into 1/4 2.014 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 2.014 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.014 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.014 * [taylor]: Taking taylor expansion of 1/2 in K 2.014 * [backup-simplify]: Simplify 1/2 into 1/2 2.014 * [taylor]: Taking taylor expansion of K in K 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.014 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 2.015 * [backup-simplify]: Simplify (- 1/4) into -1/4 2.015 * [backup-simplify]: Simplify -1/4 into -1/4 2.015 * [taylor]: Taking taylor expansion of 0 in K 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (+ 0) into 0 2.016 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.017 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.017 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.018 * [backup-simplify]: Simplify (- 0) into 0 2.018 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.018 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 2.018 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 2.018 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 2.018 * [taylor]: Taking taylor expansion of 2 in K 2.018 * [backup-simplify]: Simplify 2 into 2 2.019 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.019 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.019 * [taylor]: Taking taylor expansion of 1/2 in K 2.019 * [backup-simplify]: Simplify 1/2 into 1/2 2.019 * [taylor]: Taking taylor expansion of K in K 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.019 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.020 * [backup-simplify]: Simplify (* 2 1) into 2 2.020 * [backup-simplify]: Simplify (- 2) into -2 2.020 * [backup-simplify]: Simplify -2 into -2 2.020 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ 0) into 0 2.021 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.022 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.023 * [backup-simplify]: Simplify (- 0) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 2.023 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 2.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) 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 2.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.026 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.026 * [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 J)) into 0 2.026 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 2.029 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.029 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.031 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.032 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 2.034 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 2.034 * [taylor]: Taking taylor expansion of 0 in J 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.036 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.038 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.039 * [backup-simplify]: Simplify (- 0) into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 2.041 * [backup-simplify]: Simplify (- 0) into 0 2.041 * [taylor]: Taking taylor expansion of 0 in K 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [taylor]: Taking taylor expansion of 0 in K 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.043 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.045 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.046 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 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 (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.049 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 2.049 * [taylor]: Taking taylor expansion of 0 in K 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ 0) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 2.052 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)))) -2) (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 2.052 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 2.052 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 2.052 * [taylor]: Taking taylor expansion of -2 in K 2.052 * [backup-simplify]: Simplify -2 into -2 2.052 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 2.052 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 2.052 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 2.052 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 2.052 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 2.053 * [taylor]: Taking taylor expansion of (* 1 1) in K 2.053 * [taylor]: Taking taylor expansion of 1 in K 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [taylor]: Taking taylor expansion of 1 in K 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 2.053 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 2.053 * [taylor]: Taking taylor expansion of 1/2 in K 2.053 * [backup-simplify]: Simplify 1/2 into 1/2 2.053 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 2.053 * [taylor]: Taking taylor expansion of J in K 2.053 * [backup-simplify]: Simplify J into J 2.053 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 2.053 * [taylor]: Taking taylor expansion of U in K 2.053 * [backup-simplify]: Simplify U into U 2.053 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.053 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.053 * [taylor]: Taking taylor expansion of 1/2 in K 2.053 * [backup-simplify]: Simplify 1/2 into 1/2 2.053 * [taylor]: Taking taylor expansion of K in K 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.054 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.054 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 2.054 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 2.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 2.054 * [taylor]: Taking taylor expansion of 1/2 in K 2.054 * [backup-simplify]: Simplify 1/2 into 1/2 2.054 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 2.054 * [taylor]: Taking taylor expansion of J in K 2.054 * [backup-simplify]: Simplify J into J 2.054 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 2.054 * [taylor]: Taking taylor expansion of U in K 2.054 * [backup-simplify]: Simplify U into U 2.054 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.054 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.054 * [taylor]: Taking taylor expansion of 1/2 in K 2.054 * [backup-simplify]: Simplify 1/2 into 1/2 2.054 * [taylor]: Taking taylor expansion of K in K 2.054 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.055 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.055 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 2.055 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 2.056 * [backup-simplify]: Simplify (* 1 1) into 1 2.056 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2.056 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2.056 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 2.057 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 2.057 * [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)) 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.058 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 2.058 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 2.059 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 2.060 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 2.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 2.060 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 2.061 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.061 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.061 * [taylor]: Taking taylor expansion of 1/2 in K 2.061 * [backup-simplify]: Simplify 1/2 into 1/2 2.061 * [taylor]: Taking taylor expansion of K in K 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.062 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.062 * [taylor]: Taking taylor expansion of J in K 2.062 * [backup-simplify]: Simplify J into J 2.062 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 2.062 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 2.062 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 2.062 * [taylor]: Taking taylor expansion of -2 in J 2.062 * [backup-simplify]: Simplify -2 into -2 2.062 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 2.062 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 2.062 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 2.062 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 2.062 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 2.062 * [taylor]: Taking taylor expansion of (* 1 1) in J 2.062 * [taylor]: Taking taylor expansion of 1 in J 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of 1 in J 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 2.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 2.062 * [taylor]: Taking taylor expansion of 1/2 in J 2.062 * [backup-simplify]: Simplify 1/2 into 1/2 2.062 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 2.062 * [taylor]: Taking taylor expansion of J in J 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 2.062 * [taylor]: Taking taylor expansion of U in J 2.063 * [backup-simplify]: Simplify U into U 2.063 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.063 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.063 * [taylor]: Taking taylor expansion of 1/2 in J 2.063 * [backup-simplify]: Simplify 1/2 into 1/2 2.063 * [taylor]: Taking taylor expansion of K in J 2.063 * [backup-simplify]: Simplify K into K 2.063 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.063 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.063 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.063 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.063 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.063 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 2.063 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 2.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 2.063 * [taylor]: Taking taylor expansion of 1/2 in J 2.063 * [backup-simplify]: Simplify 1/2 into 1/2 2.063 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 2.063 * [taylor]: Taking taylor expansion of J in J 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 2.063 * [taylor]: Taking taylor expansion of U in J 2.063 * [backup-simplify]: Simplify U into U 2.063 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.063 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.063 * [taylor]: Taking taylor expansion of 1/2 in J 2.064 * [backup-simplify]: Simplify 1/2 into 1/2 2.064 * [taylor]: Taking taylor expansion of K in J 2.064 * [backup-simplify]: Simplify K into K 2.064 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.064 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.064 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.064 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.064 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.064 * [backup-simplify]: Simplify (- 0) into 0 2.064 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.064 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 2.064 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 2.064 * [backup-simplify]: Simplify (* 1 1) into 1 2.065 * [backup-simplify]: Simplify (+ 1 0) into 1 2.065 * [backup-simplify]: Simplify (sqrt 1) into 1 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.066 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.066 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.066 * [taylor]: Taking taylor expansion of 1/2 in J 2.066 * [backup-simplify]: Simplify 1/2 into 1/2 2.066 * [taylor]: Taking taylor expansion of K in J 2.066 * [backup-simplify]: Simplify K into K 2.066 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.066 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.066 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.066 * [taylor]: Taking taylor expansion of J in J 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.067 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.069 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.069 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 2.069 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.069 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 2.069 * [taylor]: Taking taylor expansion of -2 in U 2.069 * [backup-simplify]: Simplify -2 into -2 2.069 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 2.069 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 2.069 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 2.070 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 2.070 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 2.070 * [taylor]: Taking taylor expansion of (* 1 1) in U 2.070 * [taylor]: Taking taylor expansion of 1 in U 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of 1 in U 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 2.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 2.070 * [taylor]: Taking taylor expansion of 1/2 in U 2.070 * [backup-simplify]: Simplify 1/2 into 1/2 2.070 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 2.070 * [taylor]: Taking taylor expansion of J in U 2.070 * [backup-simplify]: Simplify J into J 2.070 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 2.070 * [taylor]: Taking taylor expansion of U in U 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.070 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.070 * [taylor]: Taking taylor expansion of 1/2 in U 2.070 * [backup-simplify]: Simplify 1/2 into 1/2 2.070 * [taylor]: Taking taylor expansion of K in U 2.070 * [backup-simplify]: Simplify K into K 2.070 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.070 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.070 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.070 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.070 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.071 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.071 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 2.071 * [backup-simplify]: Simplify (+ 0) into 0 2.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 2.073 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 2.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 2.073 * [taylor]: Taking taylor expansion of 1/2 in U 2.073 * [backup-simplify]: Simplify 1/2 into 1/2 2.073 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 2.073 * [taylor]: Taking taylor expansion of J in U 2.073 * [backup-simplify]: Simplify J into J 2.073 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 2.073 * [taylor]: Taking taylor expansion of U in U 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.073 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.073 * [taylor]: Taking taylor expansion of 1/2 in U 2.073 * [backup-simplify]: Simplify 1/2 into 1/2 2.073 * [taylor]: Taking taylor expansion of K in U 2.073 * [backup-simplify]: Simplify K into K 2.073 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.073 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.073 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.073 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.074 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.074 * [backup-simplify]: Simplify (- 0) into 0 2.074 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.074 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 2.074 * [backup-simplify]: Simplify (+ 0) into 0 2.075 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.075 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.076 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (+ 0 0) into 0 2.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 2.077 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 2.077 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.077 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.077 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.077 * [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))) 2.077 * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.078 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.078 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.079 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.079 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.080 * [backup-simplify]: Simplify (- 0) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 2.081 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 2.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.082 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.082 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.083 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.083 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.083 * [backup-simplify]: Simplify (- 0) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 2.084 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 2.085 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.085 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.085 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.085 * [taylor]: Taking taylor expansion of 1/2 in U 2.085 * [backup-simplify]: Simplify 1/2 into 1/2 2.085 * [taylor]: Taking taylor expansion of K in U 2.085 * [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 * [taylor]: Taking taylor expansion of J in U 2.085 * [backup-simplify]: Simplify J into J 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 2.086 * [backup-simplify]: Simplify (- 0) into 0 2.086 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.086 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 2.086 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 2.086 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 2.086 * [taylor]: Taking taylor expansion of -2 in U 2.086 * [backup-simplify]: Simplify -2 into -2 2.086 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 2.086 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 2.086 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 2.086 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 2.086 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 2.086 * [taylor]: Taking taylor expansion of (* 1 1) in U 2.086 * [taylor]: Taking taylor expansion of 1 in U 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [taylor]: Taking taylor expansion of 1 in U 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 2.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 2.086 * [taylor]: Taking taylor expansion of 1/2 in U 2.086 * [backup-simplify]: Simplify 1/2 into 1/2 2.086 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 2.086 * [taylor]: Taking taylor expansion of J in U 2.086 * [backup-simplify]: Simplify J into J 2.086 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 2.086 * [taylor]: Taking taylor expansion of U in U 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.086 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.086 * [taylor]: Taking taylor expansion of 1/2 in U 2.086 * [backup-simplify]: Simplify 1/2 into 1/2 2.086 * [taylor]: Taking taylor expansion of K in U 2.086 * [backup-simplify]: Simplify K into K 2.086 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.086 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.087 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.087 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.087 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.087 * [backup-simplify]: Simplify (- 0) into 0 2.087 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.087 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 2.087 * [backup-simplify]: Simplify (+ 0) into 0 2.088 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.088 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.089 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.089 * [backup-simplify]: Simplify (- 0) into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 2.089 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 2.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 2.089 * [taylor]: Taking taylor expansion of 1/2 in U 2.089 * [backup-simplify]: Simplify 1/2 into 1/2 2.089 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 2.089 * [taylor]: Taking taylor expansion of J in U 2.090 * [backup-simplify]: Simplify J into J 2.090 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 2.090 * [taylor]: Taking taylor expansion of U in U 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.090 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.090 * [taylor]: Taking taylor expansion of 1/2 in U 2.090 * [backup-simplify]: Simplify 1/2 into 1/2 2.090 * [taylor]: Taking taylor expansion of K in U 2.090 * [backup-simplify]: Simplify K into K 2.090 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.090 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.090 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.090 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.090 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.090 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.090 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 2.090 * [backup-simplify]: Simplify (+ 0) into 0 2.091 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.091 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.092 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.092 * [backup-simplify]: Simplify (- 0) into 0 2.092 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 2.093 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 2.093 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.093 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.093 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.093 * [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))) 2.093 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.094 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.094 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.095 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.095 * [backup-simplify]: Simplify (- 0) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 2.096 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) 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 2.101 * [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 (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 2.103 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 2.103 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.104 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.104 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.104 * [taylor]: Taking taylor expansion of 1/2 in U 2.104 * [backup-simplify]: Simplify 1/2 into 1/2 2.104 * [taylor]: Taking taylor expansion of K in U 2.104 * [backup-simplify]: Simplify K into K 2.104 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.104 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.105 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.105 * [taylor]: Taking taylor expansion of J in U 2.105 * [backup-simplify]: Simplify J into J 2.105 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.105 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.105 * [backup-simplify]: Simplify (- 0) into 0 2.105 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.106 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 2.106 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 2.106 * [backup-simplify]: Simplify (* -2 1/2) into -1 2.106 * [taylor]: Taking taylor expansion of -1 in J 2.106 * [backup-simplify]: Simplify -1 into -1 2.107 * [backup-simplify]: Simplify (+ 0) into 0 2.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.107 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.109 * [backup-simplify]: Simplify (- 0) into 0 2.110 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.110 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 2.111 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 2.111 * [taylor]: Taking taylor expansion of 0 in J 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [taylor]: Taking taylor expansion of -1 in K 2.111 * [backup-simplify]: Simplify -1 into -1 2.111 * [backup-simplify]: Simplify -1 into -1 2.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.113 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.114 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.115 * [backup-simplify]: Simplify (- 0) into 0 2.115 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (* 1 1) into 1 2.117 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.121 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.121 * [backup-simplify]: Simplify (- 0) into 0 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.123 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 2.125 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.126 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.129 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.130 * [backup-simplify]: Simplify (- 0) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.132 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 2.133 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 2.134 * [backup-simplify]: Simplify (+ 1 0) into 1 2.135 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 2.136 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 2.136 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 2.137 * [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)))) 2.137 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 2.137 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 2.137 * [taylor]: Taking taylor expansion of 2 in J 2.137 * [backup-simplify]: Simplify 2 into 2 2.137 * [taylor]: Taking taylor expansion of (/ (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 2.138 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.138 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.138 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.138 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.138 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.138 * [backup-simplify]: Simplify (- 0) into 0 2.138 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.138 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.138 * [taylor]: Taking taylor expansion of J in J 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.139 * [backup-simplify]: Simplify (* 1 1) into 1 2.139 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 2.140 * [backup-simplify]: Simplify (+ 0) into 0 2.140 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.140 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.142 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.142 * [backup-simplify]: Simplify (- 0) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.143 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.146 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [taylor]: Taking taylor expansion of 0 in K 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [taylor]: Taking taylor expansion of 0 in K 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [taylor]: Taking taylor expansion of 0 in K 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.148 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.151 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.151 * [backup-simplify]: Simplify (- 0) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.155 * [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 2.156 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.158 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.159 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.160 * [backup-simplify]: Simplify (- 0) into 0 2.160 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 2.162 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 2.165 * [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 2.165 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.166 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.167 * [backup-simplify]: Simplify (- 0) into 0 2.168 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 2.169 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 2.170 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 2.170 * [backup-simplify]: Simplify (+ 0 0) into 0 2.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 2.171 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.171 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 2.172 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 2.172 * [taylor]: Taking taylor expansion of 0 in J 2.172 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.173 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.173 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.174 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.174 * [backup-simplify]: Simplify (- 0) into 0 2.175 * [backup-simplify]: Simplify (+ 0 0) into 0 2.175 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.177 * [backup-simplify]: Simplify (- 0) into 0 2.177 * [taylor]: Taking taylor expansion of 0 in K 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [taylor]: Taking taylor expansion of 0 in K 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 2.178 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)))) -2) (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 2.178 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 2.178 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 2.178 * [taylor]: Taking taylor expansion of 2 in K 2.178 * [backup-simplify]: Simplify 2 into 2 2.178 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 2.178 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 2.178 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.178 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.178 * [taylor]: Taking taylor expansion of -1/2 in K 2.178 * [backup-simplify]: Simplify -1/2 into -1/2 2.178 * [taylor]: Taking taylor expansion of K in K 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.178 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.178 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 2.178 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 2.178 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 2.179 * [taylor]: Taking taylor expansion of (* 1 1) in K 2.179 * [taylor]: Taking taylor expansion of 1 in K 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [taylor]: Taking taylor expansion of 1 in K 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 2.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 2.179 * [taylor]: Taking taylor expansion of 1/2 in K 2.179 * [backup-simplify]: Simplify 1/2 into 1/2 2.179 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 2.179 * [taylor]: Taking taylor expansion of J in K 2.179 * [backup-simplify]: Simplify J into J 2.179 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 2.179 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.179 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.179 * [taylor]: Taking taylor expansion of -1/2 in K 2.179 * [backup-simplify]: Simplify -1/2 into -1/2 2.179 * [taylor]: Taking taylor expansion of K in K 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.179 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.179 * [taylor]: Taking taylor expansion of U in K 2.179 * [backup-simplify]: Simplify U into U 2.179 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 2.179 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 2.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 2.179 * [taylor]: Taking taylor expansion of 1/2 in K 2.179 * [backup-simplify]: Simplify 1/2 into 1/2 2.179 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 2.179 * [taylor]: Taking taylor expansion of J in K 2.179 * [backup-simplify]: Simplify J into J 2.179 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 2.179 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.179 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.179 * [taylor]: Taking taylor expansion of -1/2 in K 2.179 * [backup-simplify]: Simplify -1/2 into -1/2 2.179 * [taylor]: Taking taylor expansion of K in K 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.180 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.180 * [taylor]: Taking taylor expansion of U in K 2.180 * [backup-simplify]: Simplify U into U 2.180 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 2.180 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 2.180 * [backup-simplify]: Simplify (* 1 1) into 1 2.180 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2.180 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2.181 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 2.181 * [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))))) 2.181 * [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)))))) 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 2.182 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 2.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 2.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 2.182 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 2.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 2.183 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 2.183 * [taylor]: Taking taylor expansion of J in K 2.183 * [backup-simplify]: Simplify J into J 2.184 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 2.184 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 2.184 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 2.184 * [taylor]: Taking taylor expansion of 2 in J 2.184 * [backup-simplify]: Simplify 2 into 2 2.184 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 2.184 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 2.184 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.184 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.184 * [taylor]: Taking taylor expansion of -1/2 in J 2.184 * [backup-simplify]: Simplify -1/2 into -1/2 2.184 * [taylor]: Taking taylor expansion of K in J 2.184 * [backup-simplify]: Simplify K into K 2.184 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.184 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.184 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.184 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 2.184 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 2.184 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 2.184 * [taylor]: Taking taylor expansion of (* 1 1) in J 2.184 * [taylor]: Taking taylor expansion of 1 in J 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [taylor]: Taking taylor expansion of 1 in J 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 2.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 2.184 * [taylor]: Taking taylor expansion of 1/2 in J 2.184 * [backup-simplify]: Simplify 1/2 into 1/2 2.184 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 2.184 * [taylor]: Taking taylor expansion of J in J 2.184 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 1 into 1 2.185 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 2.185 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.185 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.185 * [taylor]: Taking taylor expansion of -1/2 in J 2.185 * [backup-simplify]: Simplify -1/2 into -1/2 2.185 * [taylor]: Taking taylor expansion of K in J 2.185 * [backup-simplify]: Simplify K into K 2.185 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.185 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.185 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.185 * [taylor]: Taking taylor expansion of U in J 2.185 * [backup-simplify]: Simplify U into U 2.185 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.185 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.185 * [backup-simplify]: Simplify (- 0) into 0 2.185 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.185 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 2.186 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 2.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 2.186 * [taylor]: Taking taylor expansion of 1/2 in J 2.186 * [backup-simplify]: Simplify 1/2 into 1/2 2.186 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 2.186 * [taylor]: Taking taylor expansion of J in J 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 2.186 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.186 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.186 * [taylor]: Taking taylor expansion of -1/2 in J 2.186 * [backup-simplify]: Simplify -1/2 into -1/2 2.186 * [taylor]: Taking taylor expansion of K in J 2.186 * [backup-simplify]: Simplify K into K 2.186 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.186 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.186 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.186 * [taylor]: Taking taylor expansion of U in J 2.186 * [backup-simplify]: Simplify U into U 2.186 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.186 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.186 * [backup-simplify]: Simplify (- 0) into 0 2.186 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.186 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 2.186 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 2.187 * [backup-simplify]: Simplify (* 1 1) into 1 2.189 * [backup-simplify]: Simplify (+ 1 0) into 1 2.189 * [backup-simplify]: Simplify (sqrt 1) into 1 2.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.191 * [backup-simplify]: Simplify (+ 0 0) into 0 2.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.191 * [taylor]: Taking taylor expansion of J in J 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.192 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.192 * [backup-simplify]: Simplify (- 0) into 0 2.192 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.192 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.192 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.192 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 2.193 * [taylor]: Taking taylor expansion of 2 in U 2.193 * [backup-simplify]: Simplify 2 into 2 2.193 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 2.193 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 2.193 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.193 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.193 * [taylor]: Taking taylor expansion of -1/2 in U 2.193 * [backup-simplify]: Simplify -1/2 into -1/2 2.193 * [taylor]: Taking taylor expansion of K in U 2.193 * [backup-simplify]: Simplify K into K 2.193 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.193 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.193 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.193 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 2.193 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 2.193 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 2.193 * [taylor]: Taking taylor expansion of (* 1 1) in U 2.193 * [taylor]: Taking taylor expansion of 1 in U 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [taylor]: Taking taylor expansion of 1 in U 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 2.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 2.193 * [taylor]: Taking taylor expansion of 1/2 in U 2.193 * [backup-simplify]: Simplify 1/2 into 1/2 2.193 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 2.193 * [taylor]: Taking taylor expansion of J in U 2.194 * [backup-simplify]: Simplify J into J 2.194 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 2.194 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.194 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.194 * [taylor]: Taking taylor expansion of -1/2 in U 2.194 * [backup-simplify]: Simplify -1/2 into -1/2 2.194 * [taylor]: Taking taylor expansion of K in U 2.194 * [backup-simplify]: Simplify K into K 2.194 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.194 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.194 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.194 * [taylor]: Taking taylor expansion of U in U 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.194 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.195 * [backup-simplify]: Simplify (- 0) into 0 2.195 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.195 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 2.195 * [backup-simplify]: Simplify (+ 0) into 0 2.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.198 * [backup-simplify]: Simplify (- 0) into 0 2.198 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 2.199 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 2.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 2.199 * [taylor]: Taking taylor expansion of 1/2 in U 2.199 * [backup-simplify]: Simplify 1/2 into 1/2 2.199 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 2.199 * [taylor]: Taking taylor expansion of J in U 2.199 * [backup-simplify]: Simplify J into J 2.199 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 2.199 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.199 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.199 * [taylor]: Taking taylor expansion of -1/2 in U 2.199 * [backup-simplify]: Simplify -1/2 into -1/2 2.199 * [taylor]: Taking taylor expansion of K in U 2.199 * [backup-simplify]: Simplify K into K 2.199 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.199 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.199 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.200 * [taylor]: Taking taylor expansion of U in U 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 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 2.200 * [backup-simplify]: Simplify (- 0) into 0 2.200 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.200 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 2.201 * [backup-simplify]: Simplify (+ 0) into 0 2.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.202 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.203 * [backup-simplify]: Simplify (- 0) into 0 2.204 * [backup-simplify]: Simplify (+ 0 0) into 0 2.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 2.204 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 2.204 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.205 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.205 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.205 * [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))) 2.205 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.206 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.206 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.206 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.207 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.207 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.207 * [backup-simplify]: Simplify (- 0) into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.208 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 2.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.210 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.211 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.211 * [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 1) (* 0 0))) into 0 2.212 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 2.212 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.213 * [taylor]: Taking taylor expansion of J in U 2.213 * [backup-simplify]: Simplify J into J 2.213 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.213 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.213 * [backup-simplify]: Simplify (- 0) into 0 2.213 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.213 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 2.213 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 2.213 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 2.213 * [taylor]: Taking taylor expansion of 2 in U 2.213 * [backup-simplify]: Simplify 2 into 2 2.213 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 2.213 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 2.213 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.213 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.213 * [taylor]: Taking taylor expansion of -1/2 in U 2.213 * [backup-simplify]: Simplify -1/2 into -1/2 2.213 * [taylor]: Taking taylor expansion of K in U 2.213 * [backup-simplify]: Simplify K into K 2.213 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.213 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.213 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.213 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 2.214 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 2.214 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 2.214 * [taylor]: Taking taylor expansion of (* 1 1) in U 2.214 * [taylor]: Taking taylor expansion of 1 in U 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of 1 in U 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 2.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 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 (/ J (* (cos (/ -1/2 K)) U)) in U 2.214 * [taylor]: Taking taylor expansion of J in U 2.214 * [backup-simplify]: Simplify J into J 2.214 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) 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 U in U 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.214 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.214 * [backup-simplify]: Simplify (- 0) into 0 2.214 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.214 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 2.215 * [backup-simplify]: Simplify (+ 0) into 0 2.215 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.216 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.216 * [backup-simplify]: Simplify (- 0) into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 2.217 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 2.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 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 (/ J (* (cos (/ -1/2 K)) U)) in U 2.217 * [taylor]: Taking taylor expansion of J in U 2.217 * [backup-simplify]: Simplify J into J 2.217 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 2.217 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.217 * [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 * [taylor]: Taking taylor expansion of U in U 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 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 2.218 * [backup-simplify]: Simplify (- 0) into 0 2.218 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.218 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 2.218 * [backup-simplify]: Simplify (+ 0) into 0 2.218 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.218 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.219 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.220 * [backup-simplify]: Simplify (- 0) into 0 2.220 * [backup-simplify]: Simplify (+ 0 0) into 0 2.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 2.220 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 2.220 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.220 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.221 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.221 * [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))) 2.221 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.222 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.222 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.223 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.223 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.223 * [backup-simplify]: Simplify (- 0) into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.224 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 2.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.226 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.226 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.227 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.227 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.227 * [backup-simplify]: Simplify (- 0) into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.228 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 2.229 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.229 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.229 * [taylor]: Taking taylor expansion of J in U 2.229 * [backup-simplify]: Simplify J into J 2.230 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.230 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.230 * [backup-simplify]: Simplify (- 0) into 0 2.230 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.230 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 2.230 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 2.230 * [backup-simplify]: Simplify (* 2 1/2) into 1 2.230 * [taylor]: Taking taylor expansion of 1 in J 2.230 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (+ 0) into 0 2.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.231 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.232 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.232 * [backup-simplify]: Simplify (- 0) into 0 2.233 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.233 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 2.233 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 2.233 * [taylor]: Taking taylor expansion of 0 in J 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [taylor]: Taking taylor expansion of 1 in K 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify 1 into 1 2.234 * [backup-simplify]: Simplify (* 1 1) into 1 2.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.237 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.237 * [backup-simplify]: Simplify (- 0) into 0 2.237 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.238 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 2.240 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.241 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.243 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.243 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.244 * [backup-simplify]: Simplify (- 0) into 0 2.244 * [backup-simplify]: Simplify (+ 0 0) into 0 2.245 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.245 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 2.247 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 2.247 * [backup-simplify]: Simplify (+ 1 0) into 1 2.248 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 2.249 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.250 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.251 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.252 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.252 * [backup-simplify]: Simplify (- 0) into 0 2.253 * [backup-simplify]: Simplify (+ 0 0) into 0 2.254 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 2.254 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 2.255 * [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))) 2.255 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 2.255 * [taylor]: Taking taylor expansion of 2 in J 2.255 * [backup-simplify]: Simplify 2 into 2 2.255 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 2.255 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.255 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.255 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.255 * [taylor]: Taking taylor expansion of -1/2 in J 2.255 * [backup-simplify]: Simplify -1/2 into -1/2 2.255 * [taylor]: Taking taylor expansion of K in J 2.255 * [backup-simplify]: Simplify K into K 2.255 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.255 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.255 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.256 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.256 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.256 * [backup-simplify]: Simplify (- 0) into 0 2.256 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.256 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.256 * [taylor]: Taking taylor expansion of J in J 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify 1 into 1 2.256 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.257 * [backup-simplify]: Simplify (* 1 1) into 1 2.257 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.257 * [backup-simplify]: Simplify (+ 0) into 0 2.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.258 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.260 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.260 * [backup-simplify]: Simplify (- 0) into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 2.263 * [taylor]: Taking taylor expansion of 0 in K 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [taylor]: Taking taylor expansion of 0 in K 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [taylor]: Taking taylor expansion of 0 in K 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.267 * [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 2.268 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.268 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.270 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.271 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.272 * [backup-simplify]: Simplify (- 0) into 0 2.272 * [backup-simplify]: Simplify (+ 0 0) into 0 2.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.273 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 2.275 * [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 2.276 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.276 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.277 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.278 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.278 * [backup-simplify]: Simplify (- 0) into 0 2.278 * [backup-simplify]: Simplify (+ 0 0) into 0 2.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.279 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 2.281 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 2.281 * [backup-simplify]: Simplify (+ 0 0) into 0 2.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.282 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.284 * [backup-simplify]: Simplify (- 0) into 0 2.284 * [backup-simplify]: Simplify (+ 0 0) into 0 2.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 2.285 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 2.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 2.286 * [taylor]: Taking taylor expansion of 0 in J 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.287 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.287 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.288 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.288 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.288 * [backup-simplify]: Simplify (- 0) into 0 2.289 * [backup-simplify]: Simplify (+ 0 0) into 0 2.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 2.291 * [taylor]: Taking taylor expansion of 0 in K 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [taylor]: Taking taylor expansion of 0 in K 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 2.291 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 2.291 * [backup-simplify]: Simplify (* J (* (cos (/ K 2)) 2)) into (* 2 (* (cos (* 1/2 K)) J)) 2.291 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 2.291 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 2.292 * [taylor]: Taking taylor expansion of 2 in K 2.292 * [backup-simplify]: Simplify 2 into 2 2.292 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.292 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.292 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.292 * [taylor]: Taking taylor expansion of 1/2 in K 2.292 * [backup-simplify]: Simplify 1/2 into 1/2 2.292 * [taylor]: Taking taylor expansion of K in K 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.292 * [taylor]: Taking taylor expansion of J in K 2.293 * [backup-simplify]: Simplify J into J 2.293 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 2.293 * [taylor]: Taking taylor expansion of 2 in J 2.293 * [backup-simplify]: Simplify 2 into 2 2.293 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.293 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.293 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.293 * [taylor]: Taking taylor expansion of 1/2 in J 2.293 * [backup-simplify]: Simplify 1/2 into 1/2 2.293 * [taylor]: Taking taylor expansion of K in J 2.293 * [backup-simplify]: Simplify K into K 2.293 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.293 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.293 * [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 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 2.293 * [taylor]: Taking taylor expansion of 2 in J 2.293 * [backup-simplify]: Simplify 2 into 2 2.293 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.293 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.293 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.293 * [taylor]: Taking taylor expansion of 1/2 in J 2.293 * [backup-simplify]: Simplify 1/2 into 1/2 2.293 * [taylor]: Taking taylor expansion of K in J 2.293 * [backup-simplify]: Simplify K into K 2.293 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.293 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.293 * [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 2.294 * [backup-simplify]: Simplify (- 0) into 0 2.294 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.294 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.294 * [backup-simplify]: Simplify (* 2 0) into 0 2.294 * [taylor]: Taking taylor expansion of 0 in K 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ 0) into 0 2.295 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.296 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.296 * [backup-simplify]: Simplify (- 0) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.297 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.297 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 2.297 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 2.297 * [taylor]: Taking taylor expansion of 2 in K 2.297 * [backup-simplify]: Simplify 2 into 2 2.297 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.297 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.297 * [taylor]: Taking taylor expansion of 1/2 in K 2.297 * [backup-simplify]: Simplify 1/2 into 1/2 2.297 * [taylor]: Taking taylor expansion of K in K 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.298 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.298 * [backup-simplify]: Simplify (* 2 1) into 2 2.298 * [backup-simplify]: Simplify 2 into 2 2.298 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.299 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.300 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.301 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.301 * [backup-simplify]: Simplify (- 0) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.308 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 2.308 * [taylor]: Taking taylor expansion of 0 in K 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify (+ 0) into 0 2.309 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.311 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.315 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.315 * [backup-simplify]: Simplify (- 0) into 0 2.316 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.318 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 2.318 * [taylor]: Taking taylor expansion of 0 in K 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 2.318 * [backup-simplify]: Simplify (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)) into (* 2 (/ (cos (/ 1/2 K)) J)) 2.318 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 2.319 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 2.319 * [taylor]: Taking taylor expansion of 2 in K 2.319 * [backup-simplify]: Simplify 2 into 2 2.319 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.319 * [taylor]: Taking taylor expansion of 1/2 in K 2.319 * [backup-simplify]: Simplify 1/2 into 1/2 2.319 * [taylor]: Taking taylor expansion of K in K 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.319 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.320 * [taylor]: Taking taylor expansion of J in K 2.320 * [backup-simplify]: Simplify J into J 2.320 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.320 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 2.320 * [taylor]: Taking taylor expansion of 2 in J 2.320 * [backup-simplify]: Simplify 2 into 2 2.320 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.320 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.320 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.320 * [taylor]: Taking taylor expansion of 1/2 in J 2.320 * [backup-simplify]: Simplify 1/2 into 1/2 2.320 * [taylor]: Taking taylor expansion of K in J 2.320 * [backup-simplify]: Simplify K into K 2.320 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.320 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.320 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.320 * [taylor]: Taking taylor expansion of J in J 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.320 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.321 * [backup-simplify]: Simplify (- 0) into 0 2.321 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.321 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.321 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 2.321 * [taylor]: Taking taylor expansion of 2 in J 2.321 * [backup-simplify]: Simplify 2 into 2 2.321 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.321 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.321 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.321 * [taylor]: Taking taylor expansion of 1/2 in J 2.321 * [backup-simplify]: Simplify 1/2 into 1/2 2.321 * [taylor]: Taking taylor expansion of K in J 2.321 * [backup-simplify]: Simplify K into K 2.322 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.322 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.322 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.322 * [taylor]: Taking taylor expansion of J in J 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.322 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.323 * [backup-simplify]: Simplify (- 0) into 0 2.323 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.323 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.323 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.323 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 2.323 * [taylor]: Taking taylor expansion of 2 in K 2.323 * [backup-simplify]: Simplify 2 into 2 2.323 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.323 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.323 * [taylor]: Taking taylor expansion of 1/2 in K 2.323 * [backup-simplify]: Simplify 1/2 into 1/2 2.323 * [taylor]: Taking taylor expansion of K in K 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.324 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.324 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.324 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.324 * [backup-simplify]: Simplify (+ 0) into 0 2.325 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.325 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.326 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.326 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.327 * [backup-simplify]: Simplify (- 0) into 0 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.329 * [taylor]: Taking taylor expansion of 0 in K 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.331 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.331 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.332 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.333 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.333 * [backup-simplify]: Simplify (- 0) into 0 2.334 * [backup-simplify]: Simplify (+ 0 0) into 0 2.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.337 * [taylor]: Taking taylor expansion of 0 in K 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.339 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.342 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.343 * [backup-simplify]: Simplify (- 0) into 0 2.343 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.346 * [taylor]: Taking taylor expansion of 0 in K 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 2.347 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)) into (* -2 (/ (cos (/ -1/2 K)) J)) 2.347 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 2.347 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 2.347 * [taylor]: Taking taylor expansion of -2 in K 2.347 * [backup-simplify]: Simplify -2 into -2 2.347 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.347 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.347 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.347 * [taylor]: Taking taylor expansion of -1/2 in K 2.347 * [backup-simplify]: Simplify -1/2 into -1/2 2.347 * [taylor]: Taking taylor expansion of K in K 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.348 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.348 * [taylor]: Taking taylor expansion of J in K 2.348 * [backup-simplify]: Simplify J into J 2.348 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.348 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 2.348 * [taylor]: Taking taylor expansion of -2 in J 2.348 * [backup-simplify]: Simplify -2 into -2 2.348 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.348 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.348 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.348 * [taylor]: Taking taylor expansion of -1/2 in J 2.348 * [backup-simplify]: Simplify -1/2 into -1/2 2.348 * [taylor]: Taking taylor expansion of K in J 2.348 * [backup-simplify]: Simplify K into K 2.348 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.348 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.348 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.349 * [taylor]: Taking taylor expansion of J in J 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.349 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.349 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.349 * [backup-simplify]: Simplify (- 0) into 0 2.349 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.349 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.349 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 2.349 * [taylor]: Taking taylor expansion of -2 in J 2.349 * [backup-simplify]: Simplify -2 into -2 2.349 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.349 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.350 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.350 * [taylor]: Taking taylor expansion of -1/2 in J 2.350 * [backup-simplify]: Simplify -1/2 into -1/2 2.350 * [taylor]: Taking taylor expansion of K in J 2.350 * [backup-simplify]: Simplify K into K 2.350 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.350 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.350 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.350 * [taylor]: Taking taylor expansion of J in J 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.350 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.350 * [backup-simplify]: Simplify (- 0) into 0 2.351 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.351 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.351 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.351 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 2.351 * [taylor]: Taking taylor expansion of -2 in K 2.351 * [backup-simplify]: Simplify -2 into -2 2.351 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.351 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.351 * [taylor]: Taking taylor expansion of -1/2 in K 2.351 * [backup-simplify]: Simplify -1/2 into -1/2 2.351 * [taylor]: Taking taylor expansion of K in K 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 1 into 1 2.352 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.352 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.352 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.352 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.352 * [backup-simplify]: Simplify (+ 0) into 0 2.353 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.353 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.354 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.355 * [backup-simplify]: Simplify (- 0) into 0 2.355 * [backup-simplify]: Simplify (+ 0 0) into 0 2.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.357 * [taylor]: Taking taylor expansion of 0 in K 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.359 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.359 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.360 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.361 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.361 * [backup-simplify]: Simplify (- 0) into 0 2.362 * [backup-simplify]: Simplify (+ 0 0) into 0 2.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.364 * [taylor]: Taking taylor expansion of 0 in K 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.366 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.367 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.368 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.369 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.369 * [backup-simplify]: Simplify (- 0) into 0 2.369 * [backup-simplify]: Simplify (+ 0 0) into 0 2.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.372 * [taylor]: Taking taylor expansion of 0 in K 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 2.373 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.373 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 2.373 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 2.373 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.373 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.373 * [taylor]: Taking taylor expansion of 1/2 in J 2.373 * [backup-simplify]: Simplify 1/2 into 1/2 2.373 * [taylor]: Taking taylor expansion of K in J 2.373 * [backup-simplify]: Simplify K into K 2.373 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.373 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.373 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.373 * [taylor]: Taking taylor expansion of J in J 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.373 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.373 * [taylor]: Taking taylor expansion of 1/2 in K 2.373 * [backup-simplify]: Simplify 1/2 into 1/2 2.373 * [taylor]: Taking taylor expansion of K in K 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.375 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.375 * [taylor]: Taking taylor expansion of J in K 2.375 * [backup-simplify]: Simplify J into J 2.375 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.375 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.375 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.375 * [taylor]: Taking taylor expansion of 1/2 in K 2.375 * [backup-simplify]: Simplify 1/2 into 1/2 2.375 * [taylor]: Taking taylor expansion of K in K 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.376 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.376 * [taylor]: Taking taylor expansion of J in K 2.376 * [backup-simplify]: Simplify J into J 2.376 * [backup-simplify]: Simplify (* 1 J) into J 2.376 * [taylor]: Taking taylor expansion of J in J 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (+ 0) into 0 2.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 2.377 * [taylor]: Taking taylor expansion of 0 in J 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 2.379 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 2.379 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 2.379 * [taylor]: Taking taylor expansion of 1/8 in J 2.379 * [backup-simplify]: Simplify 1/8 into 1/8 2.379 * [taylor]: Taking taylor expansion of J in J 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.380 * [backup-simplify]: Simplify (* 1/8 0) into 0 2.380 * [backup-simplify]: Simplify (- 0) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.383 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 2.384 * [taylor]: Taking taylor expansion of 0 in J 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 2.385 * [backup-simplify]: Simplify (- 1/8) into -1/8 2.385 * [backup-simplify]: Simplify -1/8 into -1/8 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 2.390 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 2.390 * [taylor]: Taking taylor expansion of 1/384 in J 2.390 * [backup-simplify]: Simplify 1/384 into 1/384 2.390 * [taylor]: Taking taylor expansion of J in J 2.390 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 1 into 1 2.391 * [backup-simplify]: Simplify (* 1/384 0) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 2.392 * [backup-simplify]: Simplify (- 0) into 0 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 2.393 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 2.393 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 2.393 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.393 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.393 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.393 * [taylor]: Taking taylor expansion of 1/2 in J 2.393 * [backup-simplify]: Simplify 1/2 into 1/2 2.393 * [taylor]: Taking taylor expansion of K in J 2.393 * [backup-simplify]: Simplify K into K 2.393 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.393 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.393 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.393 * [taylor]: Taking taylor expansion of J in J 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.393 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.394 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.394 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.394 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.394 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.394 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.394 * [taylor]: Taking taylor expansion of 1/2 in K 2.394 * [backup-simplify]: Simplify 1/2 into 1/2 2.394 * [taylor]: Taking taylor expansion of K in K 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.394 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.395 * [taylor]: Taking taylor expansion of J in K 2.395 * [backup-simplify]: Simplify J into J 2.395 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.395 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.395 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.395 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.395 * [taylor]: Taking taylor expansion of 1/2 in K 2.395 * [backup-simplify]: Simplify 1/2 into 1/2 2.395 * [taylor]: Taking taylor expansion of K in K 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.395 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.395 * [taylor]: Taking taylor expansion of J in K 2.395 * [backup-simplify]: Simplify J into J 2.395 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.395 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.396 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.396 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.396 * [taylor]: Taking taylor expansion of 1/2 in J 2.396 * [backup-simplify]: Simplify 1/2 into 1/2 2.396 * [taylor]: Taking taylor expansion of K in J 2.396 * [backup-simplify]: Simplify K into K 2.396 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.396 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.396 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.396 * [taylor]: Taking taylor expansion of J in J 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.396 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.397 * [backup-simplify]: Simplify (- 0) into 0 2.397 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.397 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.397 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.397 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 2.397 * [taylor]: Taking taylor expansion of 0 in J 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (+ 0) into 0 2.398 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.398 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.399 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.399 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.400 * [backup-simplify]: Simplify (- 0) into 0 2.400 * [backup-simplify]: Simplify (+ 0 0) into 0 2.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.401 * [taylor]: Taking taylor expansion of 0 in J 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.403 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.403 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.404 * [backup-simplify]: Simplify (- 0) into 0 2.405 * [backup-simplify]: Simplify (+ 0 0) into 0 2.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.406 * [taylor]: Taking taylor expansion of 0 in J 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.411 * [backup-simplify]: Simplify (- 0) into 0 2.411 * [backup-simplify]: Simplify (+ 0 0) into 0 2.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 2.413 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 2.413 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 2.413 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 2.413 * [taylor]: Taking taylor expansion of -1 in J 2.413 * [backup-simplify]: Simplify -1 into -1 2.413 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.413 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.413 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.413 * [taylor]: Taking taylor expansion of -1/2 in J 2.414 * [backup-simplify]: Simplify -1/2 into -1/2 2.414 * [taylor]: Taking taylor expansion of K in J 2.414 * [backup-simplify]: Simplify K into K 2.414 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.414 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.414 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.414 * [taylor]: Taking taylor expansion of J in J 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 1 into 1 2.414 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.414 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.414 * [backup-simplify]: Simplify (- 0) into 0 2.414 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.415 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.415 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 2.415 * [taylor]: Taking taylor expansion of -1 in K 2.415 * [backup-simplify]: Simplify -1 into -1 2.415 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.415 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.415 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.415 * [taylor]: Taking taylor expansion of -1/2 in K 2.415 * [backup-simplify]: Simplify -1/2 into -1/2 2.415 * [taylor]: Taking taylor expansion of K in K 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 1 into 1 2.415 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.415 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.415 * [taylor]: Taking taylor expansion of J in K 2.415 * [backup-simplify]: Simplify J into J 2.415 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.415 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 2.415 * [taylor]: Taking taylor expansion of -1 in K 2.415 * [backup-simplify]: Simplify -1 into -1 2.415 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.416 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.416 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.416 * [taylor]: Taking taylor expansion of -1/2 in K 2.416 * [backup-simplify]: Simplify -1/2 into -1/2 2.416 * [taylor]: Taking taylor expansion of K in K 2.416 * [backup-simplify]: Simplify 0 into 0 2.416 * [backup-simplify]: Simplify 1 into 1 2.416 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.416 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.416 * [taylor]: Taking taylor expansion of J in K 2.416 * [backup-simplify]: Simplify J into J 2.416 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.416 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 2.416 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 2.417 * [taylor]: Taking taylor expansion of -1 in J 2.417 * [backup-simplify]: Simplify -1 into -1 2.417 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.417 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.417 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.417 * [taylor]: Taking taylor expansion of -1/2 in J 2.417 * [backup-simplify]: Simplify -1/2 into -1/2 2.417 * [taylor]: Taking taylor expansion of K in J 2.417 * [backup-simplify]: Simplify K into K 2.417 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.417 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.417 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.417 * [taylor]: Taking taylor expansion of J in J 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.417 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.417 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.418 * [backup-simplify]: Simplify (- 0) into 0 2.418 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.418 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.418 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 2.418 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 2.418 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 2.419 * [taylor]: Taking taylor expansion of 0 in J 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify (+ 0) into 0 2.420 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.420 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.421 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.421 * [backup-simplify]: Simplify (- 0) into 0 2.422 * [backup-simplify]: Simplify (+ 0 0) into 0 2.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 2.424 * [taylor]: Taking taylor expansion of 0 in J 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.426 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.426 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.427 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.427 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.428 * [backup-simplify]: Simplify (- 0) into 0 2.428 * [backup-simplify]: Simplify (+ 0 0) into 0 2.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.431 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 2.432 * [taylor]: Taking taylor expansion of 0 in J 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.434 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.436 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.437 * [backup-simplify]: Simplify (- 0) into 0 2.437 * [backup-simplify]: Simplify (+ 0 0) into 0 2.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.440 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 2.441 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 2.441 * [backup-simplify]: Simplify (/ U (* J (* (cos (/ K 2)) 2))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.441 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 2.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 2.441 * [taylor]: Taking taylor expansion of 1/2 in K 2.441 * [backup-simplify]: Simplify 1/2 into 1/2 2.441 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 2.441 * [taylor]: Taking taylor expansion of U in K 2.441 * [backup-simplify]: Simplify U into U 2.441 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.441 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.441 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.441 * [taylor]: Taking taylor expansion of 1/2 in K 2.441 * [backup-simplify]: Simplify 1/2 into 1/2 2.441 * [taylor]: Taking taylor expansion of K in K 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.442 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.442 * [taylor]: Taking taylor expansion of J in K 2.442 * [backup-simplify]: Simplify J into J 2.442 * [backup-simplify]: Simplify (* 1 J) into J 2.442 * [backup-simplify]: Simplify (/ U J) into (/ U J) 2.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 2.442 * [taylor]: Taking taylor expansion of 1/2 in J 2.442 * [backup-simplify]: Simplify 1/2 into 1/2 2.442 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 2.442 * [taylor]: Taking taylor expansion of U in J 2.443 * [backup-simplify]: Simplify U into U 2.443 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) 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 * [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 * [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 (* (cos (* 1/2 K)) 0) into 0 2.444 * [backup-simplify]: Simplify (+ 0) into 0 2.444 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.446 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.446 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.447 * [backup-simplify]: Simplify (- 0) into 0 2.447 * [backup-simplify]: Simplify (+ 0 0) into 0 2.447 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.447 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 2.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 2.447 * [taylor]: Taking taylor expansion of 1/2 in U 2.448 * [backup-simplify]: Simplify 1/2 into 1/2 2.448 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 2.448 * [taylor]: Taking taylor expansion of U in U 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 2.448 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.448 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.448 * [taylor]: Taking taylor expansion of 1/2 in U 2.448 * [backup-simplify]: Simplify 1/2 into 1/2 2.448 * [taylor]: Taking taylor expansion of K in U 2.448 * [backup-simplify]: Simplify K into K 2.448 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.448 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.448 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.448 * [taylor]: Taking taylor expansion of J in U 2.448 * [backup-simplify]: Simplify J into J 2.448 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.448 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.448 * [backup-simplify]: Simplify (- 0) into 0 2.449 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.449 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 2.449 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 2.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 2.449 * [taylor]: Taking taylor expansion of 1/2 in U 2.449 * [backup-simplify]: Simplify 1/2 into 1/2 2.449 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 2.449 * [taylor]: Taking taylor expansion of U in U 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 2.449 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.449 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.449 * [taylor]: Taking taylor expansion of 1/2 in U 2.449 * [backup-simplify]: Simplify 1/2 into 1/2 2.449 * [taylor]: Taking taylor expansion of K in U 2.449 * [backup-simplify]: Simplify K into K 2.449 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.449 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.449 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.449 * [taylor]: Taking taylor expansion of J in U 2.449 * [backup-simplify]: Simplify J into J 2.449 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.449 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.452 * [backup-simplify]: Simplify (- 0) into 0 2.452 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.452 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 2.452 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 2.452 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 2.452 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 2.452 * [taylor]: Taking taylor expansion of 1/2 in J 2.452 * [backup-simplify]: Simplify 1/2 into 1/2 2.452 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.452 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.452 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.452 * [taylor]: Taking taylor expansion of 1/2 in J 2.452 * [backup-simplify]: Simplify 1/2 into 1/2 2.452 * [taylor]: Taking taylor expansion of K in J 2.452 * [backup-simplify]: Simplify K into K 2.453 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.453 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.453 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.453 * [taylor]: Taking taylor expansion of J in J 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify 1 into 1 2.453 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.453 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.453 * [backup-simplify]: Simplify (- 0) into 0 2.454 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.454 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.454 * [backup-simplify]: Simplify (+ 0) into 0 2.454 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.456 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.456 * [backup-simplify]: Simplify (- 0) into 0 2.457 * [backup-simplify]: Simplify (+ 0 0) into 0 2.457 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.457 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 2.457 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 2.457 * [taylor]: Taking taylor expansion of 1/2 in K 2.457 * [backup-simplify]: Simplify 1/2 into 1/2 2.457 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.457 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.457 * [taylor]: Taking taylor expansion of 1/2 in K 2.457 * [backup-simplify]: Simplify 1/2 into 1/2 2.457 * [taylor]: Taking taylor expansion of K in K 2.457 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.459 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.459 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.459 * [backup-simplify]: Simplify 1/2 into 1/2 2.459 * [backup-simplify]: Simplify (+ 0) into 0 2.460 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.461 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.461 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.462 * [backup-simplify]: Simplify (- 0) into 0 2.462 * [backup-simplify]: Simplify (+ 0 0) into 0 2.462 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 2.463 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 2.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 2.463 * [taylor]: Taking taylor expansion of 0 in J 2.463 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.465 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.466 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.467 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.467 * [backup-simplify]: Simplify (- 0) into 0 2.467 * [backup-simplify]: Simplify (+ 0 0) into 0 2.468 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.468 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 2.468 * [taylor]: Taking taylor expansion of 0 in K 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify (+ 0) into 0 2.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.472 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.474 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.474 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.475 * [backup-simplify]: Simplify (- 0) into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.476 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 2.476 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 2.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 2.477 * [taylor]: Taking taylor expansion of 0 in J 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [taylor]: Taking taylor expansion of 0 in K 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.479 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.482 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.483 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.484 * [backup-simplify]: Simplify (- 0) into 0 2.484 * [backup-simplify]: Simplify (+ 0 0) into 0 2.485 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.485 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 2.485 * [taylor]: Taking taylor expansion of 0 in K 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 2.488 * [backup-simplify]: Simplify 1/16 into 1/16 2.489 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.490 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.493 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.493 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.493 * [backup-simplify]: Simplify (- 0) into 0 2.494 * [backup-simplify]: Simplify (+ 0 0) into 0 2.495 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.495 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 2.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 2.496 * [taylor]: Taking taylor expansion of 0 in J 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [taylor]: Taking taylor expansion of 0 in K 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [taylor]: Taking taylor expansion of 0 in K 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.499 * [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 2.500 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 2.503 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.503 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.504 * [backup-simplify]: Simplify (- 0) into 0 2.504 * [backup-simplify]: Simplify (+ 0 0) into 0 2.505 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.505 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 2.505 * [taylor]: Taking taylor expansion of 0 in K 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 2.506 * [backup-simplify]: Simplify (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2.506 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 2.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 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 (/ J (* U (cos (/ 1/2 K)))) in K 2.506 * [taylor]: Taking taylor expansion of J in K 2.506 * [backup-simplify]: Simplify J into J 2.506 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 2.506 * [taylor]: Taking taylor expansion of U in K 2.506 * [backup-simplify]: Simplify U into U 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 2.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.507 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.507 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 2.507 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 2.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 2.507 * [taylor]: Taking taylor expansion of 1/2 in J 2.507 * [backup-simplify]: Simplify 1/2 into 1/2 2.507 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 2.507 * [taylor]: Taking taylor expansion of J in J 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 2.507 * [taylor]: Taking taylor expansion of U in J 2.507 * [backup-simplify]: Simplify U into U 2.507 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.507 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.507 * [taylor]: Taking taylor expansion of 1/2 in J 2.507 * [backup-simplify]: Simplify 1/2 into 1/2 2.507 * [taylor]: Taking taylor expansion of K in J 2.507 * [backup-simplify]: Simplify K into K 2.507 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.507 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.507 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.508 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.508 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.508 * [backup-simplify]: Simplify (- 0) into 0 2.508 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.508 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 2.508 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 2.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 2.508 * [taylor]: Taking taylor expansion of 1/2 in U 2.508 * [backup-simplify]: Simplify 1/2 into 1/2 2.508 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 2.508 * [taylor]: Taking taylor expansion of J in U 2.508 * [backup-simplify]: Simplify J into J 2.508 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 2.508 * [taylor]: Taking taylor expansion of U in U 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.509 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.509 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.509 * [taylor]: Taking taylor expansion of 1/2 in U 2.509 * [backup-simplify]: Simplify 1/2 into 1/2 2.509 * [taylor]: Taking taylor expansion of K in U 2.509 * [backup-simplify]: Simplify K into K 2.509 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.509 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.509 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.509 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.509 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.509 * [backup-simplify]: Simplify (- 0) into 0 2.509 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.509 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 2.510 * [backup-simplify]: Simplify (+ 0) into 0 2.510 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.510 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.511 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.512 * [backup-simplify]: Simplify (- 0) into 0 2.512 * [backup-simplify]: Simplify (+ 0 0) into 0 2.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 2.513 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 2.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 2.513 * [taylor]: Taking taylor expansion of 1/2 in U 2.513 * [backup-simplify]: Simplify 1/2 into 1/2 2.513 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 2.513 * [taylor]: Taking taylor expansion of J in U 2.513 * [backup-simplify]: Simplify J into J 2.513 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 2.513 * [taylor]: Taking taylor expansion of U in U 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.513 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.513 * [taylor]: Taking taylor expansion of 1/2 in U 2.513 * [backup-simplify]: Simplify 1/2 into 1/2 2.513 * [taylor]: Taking taylor expansion of K in U 2.513 * [backup-simplify]: Simplify K into K 2.513 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.513 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.513 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.513 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.513 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.514 * [backup-simplify]: Simplify (- 0) into 0 2.514 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.514 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 2.514 * [backup-simplify]: Simplify (+ 0) into 0 2.515 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.515 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.516 * [backup-simplify]: Simplify (- 0) into 0 2.517 * [backup-simplify]: Simplify (+ 0 0) into 0 2.517 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 2.517 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 2.517 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 2.518 * [taylor]: Taking taylor expansion of 1/2 in J 2.518 * [backup-simplify]: Simplify 1/2 into 1/2 2.518 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 2.518 * [taylor]: Taking taylor expansion of J in J 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.518 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.518 * [taylor]: Taking taylor expansion of 1/2 in J 2.518 * [backup-simplify]: Simplify 1/2 into 1/2 2.518 * [taylor]: Taking taylor expansion of K in J 2.518 * [backup-simplify]: Simplify K into K 2.518 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.518 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.518 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.518 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.518 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.518 * [backup-simplify]: Simplify (- 0) into 0 2.519 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.519 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 2.519 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 2.519 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 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 (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 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 2.520 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 2.520 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.521 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.521 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.522 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.523 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.523 * [backup-simplify]: Simplify (- 0) into 0 2.523 * [backup-simplify]: Simplify (+ 0 0) into 0 2.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 2.524 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 2.525 * [taylor]: Taking taylor expansion of 0 in J 2.525 * [backup-simplify]: Simplify 0 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 (+ 0) into 0 2.526 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.526 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.527 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.527 * [backup-simplify]: Simplify (- 0) into 0 2.528 * [backup-simplify]: Simplify (+ 0 0) into 0 2.528 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 2.528 * [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 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.530 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.531 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.532 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.533 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.533 * [backup-simplify]: Simplify (- 0) into 0 2.533 * [backup-simplify]: Simplify (+ 0 0) into 0 2.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.535 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 2.536 * [taylor]: Taking taylor expansion of 0 in J 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [taylor]: Taking taylor expansion of 0 in K 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [taylor]: Taking taylor expansion of 0 in K 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.537 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.537 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.538 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.539 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.539 * [backup-simplify]: Simplify (- 0) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.540 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 2.541 * [taylor]: Taking taylor expansion of 0 in K 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [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))) 2.541 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2.541 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 2.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 2.541 * [taylor]: Taking taylor expansion of 1/2 in K 2.541 * [backup-simplify]: Simplify 1/2 into 1/2 2.541 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 2.541 * [taylor]: Taking taylor expansion of J in K 2.541 * [backup-simplify]: Simplify J into J 2.541 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 2.541 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.541 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.541 * [taylor]: Taking taylor expansion of -1/2 in K 2.541 * [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 2.542 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.542 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.542 * [taylor]: Taking taylor expansion of U in K 2.542 * [backup-simplify]: Simplify U into U 2.542 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 2.542 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 2.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 2.542 * [taylor]: Taking taylor expansion of 1/2 in J 2.542 * [backup-simplify]: Simplify 1/2 into 1/2 2.542 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 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 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 2.543 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.543 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.543 * [taylor]: Taking taylor expansion of -1/2 in J 2.543 * [backup-simplify]: Simplify -1/2 into -1/2 2.543 * [taylor]: Taking taylor expansion of K in J 2.543 * [backup-simplify]: Simplify K into K 2.543 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.543 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.543 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.543 * [taylor]: Taking taylor expansion of U in J 2.543 * [backup-simplify]: Simplify U into U 2.543 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.543 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.543 * [backup-simplify]: Simplify (- 0) into 0 2.543 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.543 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 2.544 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 2.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 2.544 * [taylor]: Taking taylor expansion of 1/2 in U 2.544 * [backup-simplify]: Simplify 1/2 into 1/2 2.544 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 2.544 * [taylor]: Taking taylor expansion of J in U 2.544 * [backup-simplify]: Simplify J into J 2.544 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 2.544 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.544 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.544 * [taylor]: Taking taylor expansion of -1/2 in U 2.544 * [backup-simplify]: Simplify -1/2 into -1/2 2.544 * [taylor]: Taking taylor expansion of K in U 2.544 * [backup-simplify]: Simplify K into K 2.544 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.544 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.544 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.544 * [taylor]: Taking taylor expansion of U in U 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.544 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.545 * [backup-simplify]: Simplify (- 0) into 0 2.545 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.545 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 2.545 * [backup-simplify]: Simplify (+ 0) into 0 2.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.546 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.547 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.547 * [backup-simplify]: Simplify (- 0) into 0 2.548 * [backup-simplify]: Simplify (+ 0 0) into 0 2.548 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 2.548 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 2.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 2.548 * [taylor]: Taking taylor expansion of 1/2 in U 2.548 * [backup-simplify]: Simplify 1/2 into 1/2 2.548 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 2.548 * [taylor]: Taking taylor expansion of J in U 2.548 * [backup-simplify]: Simplify J into J 2.548 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 2.548 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.548 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.548 * [taylor]: Taking taylor expansion of -1/2 in U 2.548 * [backup-simplify]: Simplify -1/2 into -1/2 2.548 * [taylor]: Taking taylor expansion of K in U 2.548 * [backup-simplify]: Simplify K into K 2.548 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.549 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.549 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.549 * [taylor]: Taking taylor expansion of U in U 2.549 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify 1 into 1 2.549 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.549 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.549 * [backup-simplify]: Simplify (- 0) into 0 2.549 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.549 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 2.550 * [backup-simplify]: Simplify (+ 0) into 0 2.550 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.550 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.551 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.552 * [backup-simplify]: Simplify (- 0) into 0 2.552 * [backup-simplify]: Simplify (+ 0 0) into 0 2.553 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 2.553 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 2.553 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 2.553 * [taylor]: Taking taylor expansion of 1/2 in J 2.553 * [backup-simplify]: Simplify 1/2 into 1/2 2.553 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 2.553 * [taylor]: Taking taylor expansion of J in J 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 1 into 1 2.553 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.553 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.553 * [taylor]: Taking taylor expansion of -1/2 in J 2.553 * [backup-simplify]: Simplify -1/2 into -1/2 2.553 * [taylor]: Taking taylor expansion of K in J 2.553 * [backup-simplify]: Simplify K into K 2.553 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.553 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.553 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.554 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.554 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.554 * [backup-simplify]: Simplify (- 0) into 0 2.554 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.554 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 2.554 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 2.554 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 2.554 * [taylor]: Taking taylor expansion of 1/2 in K 2.554 * [backup-simplify]: Simplify 1/2 into 1/2 2.554 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.554 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.554 * [taylor]: Taking taylor expansion of -1/2 in K 2.554 * [backup-simplify]: Simplify -1/2 into -1/2 2.554 * [taylor]: Taking taylor expansion of K in K 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify 1 into 1 2.555 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.555 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.555 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 2.555 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 2.556 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.557 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.557 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.558 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.558 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.559 * [backup-simplify]: Simplify (- 0) into 0 2.559 * [backup-simplify]: Simplify (+ 0 0) into 0 2.559 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.560 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 2.560 * [taylor]: Taking taylor expansion of 0 in J 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [taylor]: Taking taylor expansion of 0 in K 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (+ 0) into 0 2.561 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.561 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.562 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.563 * [backup-simplify]: Simplify (- 0) into 0 2.563 * [backup-simplify]: Simplify (+ 0 0) into 0 2.563 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 2.564 * [taylor]: Taking taylor expansion of 0 in K 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.565 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.567 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.567 * [backup-simplify]: Simplify (- 0) into 0 2.567 * [backup-simplify]: Simplify (+ 0 0) into 0 2.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.568 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 2.569 * [taylor]: Taking taylor expansion of 0 in J 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [taylor]: Taking taylor expansion of 0 in K 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [taylor]: Taking taylor expansion of 0 in K 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.570 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.570 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.571 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.571 * [backup-simplify]: Simplify (- 0) into 0 2.571 * [backup-simplify]: Simplify (+ 0 0) into 0 2.571 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 2.572 * [taylor]: Taking taylor expansion of 0 in K 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [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))) 2.572 * * * [progress]: simplifying candidates 2.572 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 2.572 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 2.572 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 2.573 * * * * [progress]: [ 24 / 105 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J)))))> 2.574 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 36 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 45 / 105 ] simplifiying candidate #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) -2) (* (cos (/ K 2)) J)))> 2.574 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 2.574 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 66 / 105 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))> 2.575 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 2.575 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 92 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 93 / 105 ] simplifiying candidate #real (real->posit16 (/ U (* J (* (cos (/ K 2)) 2)))))) -2) (* (cos (/ K 2)) J)))> 2.576 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 2.576 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 2.577 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 2.577 * [simplify]: Simplifying: (expm1 (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J))) (log1p (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J)) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J)) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J)) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J)) (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log -2)) (+ (log (cos (/ K 2))) (log J))) (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log -2)) (log (* (cos (/ K 2)) J))) (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (+ (log (cos (/ K 2))) (log J))) (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (log (* (cos (/ K 2)) J))) (log (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J))) (exp (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (* (cbrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J)) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J))) (sqrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J))) (sqrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) (* -2 (* (cos (/ K 2)) J)) (real->posit16 (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cos (/ K 2)) J))) (expm1 (* J (* (cos (/ K 2)) 2))) (log1p (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)) (+ (log J) (+ (log (cos (/ K 2))) (log 2))) (+ (log J) (log (* (cos (/ K 2)) 2))) (log (* J (* (cos (/ K 2)) 2))) (exp (* J (* (cos (/ K 2)) 2))) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 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))) (* J (cos (/ K 2))) (* (cbrt J) (* (cos (/ K 2)) 2)) (* (sqrt J) (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)) (real->posit16 (* J (* (cos (/ K 2)) 2))) (expm1 (* (cos (/ K 2)) J)) (log1p (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J) (+ (log (cos (/ K 2))) (log J)) (log (* (cos (/ K 2)) J)) (exp (* (cos (/ K 2)) J)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (sqrt (* (cos (/ K 2)) J)) (sqrt (* (cos (/ K 2)) J)) (* (sqrt (cos (/ K 2))) (sqrt J)) (* (sqrt (cos (/ K 2))) (sqrt J)) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (sqrt J)) (* (cos (/ K 2)) 1) (* (cbrt (cos (/ K 2))) J) (* (sqrt (cos (/ K 2))) J) (* (cos (/ K 2)) J) (real->posit16 (* (cos (/ K 2)) J)) (expm1 (/ U (* J (* (cos (/ K 2)) 2)))) (log1p (/ U (* J (* (cos (/ K 2)) 2)))) (- (log U) (+ (log J) (+ (log (cos (/ K 2))) (log 2)))) (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) (- (log U) (log (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (exp (/ U (* J (* (cos (/ K 2)) 2)))) (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2)))) (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2)))) (/ (* (* U U) U) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))) (* (cbrt (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (/ U (* J (* (cos (/ K 2)) 2))) (/ U (* J (* (cos (/ K 2)) 2)))) (/ U (* J (* (cos (/ K 2)) 2)))) (sqrt (/ U (* J (* (cos (/ K 2)) 2)))) (sqrt (/ U (* J (* (cos (/ K 2)) 2)))) (- U) (- (* J (* (cos (/ K 2)) 2))) (/ (* (cbrt U) (cbrt U)) J) (/ (cbrt U) (* (cos (/ K 2)) 2)) (/ (sqrt U) J) (/ (sqrt U) (* (cos (/ K 2)) 2)) (/ 1 J) (/ U (* (cos (/ K 2)) 2)) (/ 1 (* J (* (cos (/ K 2)) 2))) (/ (* J (* (cos (/ K 2)) 2)) U) (/ U J) (/ (* J (* (cos (/ K 2)) 2)) (cbrt U)) (/ (* J (* (cos (/ K 2)) 2)) (sqrt U)) (/ (* J (* (cos (/ K 2)) 2)) U) (real->posit16 (/ U (* J (* (cos (/ K 2)) 2)))) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (* 2 J) (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J)) (- J (* 1/8 (* (pow K 2) J))) (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J) (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.579 * * [simplify]: iteration 1: (162 enodes) 2.622 * * [simplify]: iteration 2: (686 enodes) 2.854 * * [simplify]: iteration 3: (1947 enodes) 4.897 * * [simplify]: Extracting #0: cost 69 inf + 0 4.901 * * [simplify]: Extracting #1: cost 958 inf + 0 4.910 * * [simplify]: Extracting #2: cost 2574 inf + 2818 4.932 * * [simplify]: Extracting #3: cost 2237 inf + 41782 4.954 * * [simplify]: Extracting #4: cost 1951 inf + 85765 5.045 * * [simplify]: Extracting #5: cost 1086 inf + 328053 5.256 * * [simplify]: Extracting #6: cost 170 inf + 672723 5.496 * * [simplify]: Extracting #7: cost 1 inf + 752281 5.749 * * [simplify]: Extracting #8: cost 0 inf + 751652 6.089 * [simplify]: Simplified to: (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (exp (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* -2 (* (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))) (real->posit16 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (expm1 (* (cos (/ K 2)) (* 2 J))) (log1p (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J)) (log (* (cos (/ K 2)) (* 2 J))) (log (* (cos (/ K 2)) (* 2 J))) (log (* (cos (/ K 2)) (* 2 J))) (exp (* (cos (/ K 2)) (* 2 J))) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))) (* (cbrt (* (cos (/ K 2)) (* 2 J))) (cbrt (* (cos (/ K 2)) (* 2 J)))) (cbrt (* (cos (/ K 2)) (* 2 J))) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))) (sqrt (* (cos (/ K 2)) (* 2 J))) (sqrt (* (cos (/ K 2)) (* 2 J))) (* J (cos (/ K 2))) (* (* (cbrt J) (cos (/ K 2))) 2) (* (* (cos (/ K 2)) (sqrt J)) 2) (* (cos (/ K 2)) (* 2 J)) (real->posit16 (* (cos (/ K 2)) (* 2 J))) (expm1 (* J (cos (/ K 2)))) (log1p (* J (cos (/ K 2)))) (* J (cos (/ K 2))) (log (* J (cos (/ K 2)))) (log (* J (cos (/ K 2)))) (exp (* J (cos (/ K 2)))) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))) (* (cbrt (* J (cos (/ K 2)))) (cbrt (* J (cos (/ K 2))))) (cbrt (* J (cos (/ K 2)))) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))) (sqrt (* J (cos (/ K 2)))) (sqrt (* J (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (sqrt J)) (* (sqrt (cos (/ K 2))) (sqrt J)) (* (* (cbrt J) (cos (/ K 2))) (cbrt J)) (* (cos (/ K 2)) (sqrt J)) (cos (/ K 2)) (* J (cbrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) J) (* J (cos (/ K 2))) (real->posit16 (* J (cos (/ K 2)))) (expm1 (/ (/ U J) (* 2 (cos (/ K 2))))) (log1p (/ (/ U J) (* 2 (cos (/ K 2))))) (log (/ (/ U J) (* 2 (cos (/ K 2))))) (log (/ (/ U J) (* 2 (cos (/ K 2))))) (log (/ (/ U J) (* 2 (cos (/ K 2))))) (log (/ (/ U J) (* 2 (cos (/ K 2))))) (exp (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (cbrt (/ (/ U J) (* 2 (cos (/ K 2))))) (cbrt (/ (/ U J) (* 2 (cos (/ K 2)))))) (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)))))) (sqrt (/ (/ U J) (* 2 (cos (/ K 2))))) (sqrt (/ (/ U J) (* 2 (cos (/ K 2))))) (- U) (* (cos (/ K 2)) (* (- J) 2)) (* (/ (cbrt U) J) (cbrt U)) (/ (/ (cbrt U) 2) (cos (/ K 2))) (/ (sqrt U) J) (/ (/ (sqrt U) (cos (/ K 2))) 2) (/ 1 J) (/ (/ U 2) (cos (/ K 2))) (/ (/ 1 J) (* 2 (cos (/ K 2)))) (* (* 2 (cos (/ K 2))) (/ J U)) (/ U J) (/ (* J (cos (/ K 2))) (/ (cbrt U) 2)) (/ 2 (/ (/ (sqrt U) J) (cos (/ K 2)))) (* (* 2 (cos (/ K 2))) (/ J U)) (real->posit16 (/ (/ U J) (* 2 (cos (/ K 2))))) (- (fma J 2 (* (/ (* U U) J) 1/4))) (- U) (- U) (* 2 J) (* (* J (cos (* K 1/2))) 2) (* (* J (cos (* K 1/2))) 2) (- J (* (* (* 1/8 J) K) K)) (* J (cos (* K 1/2))) (* J (cos (* K 1/2))) (fma (/ K (/ (/ J U) K)) 1/16 (* (/ 1/2 J) U)) (/ 1/2 (* (cos (* K 1/2)) (/ J U))) (/ 1/2 (* (cos (* K 1/2)) (/ J U))) 6.095 * * * [progress]: adding candidates to table 7.657 * * [progress]: iteration 2 / 4 7.658 * * * [progress]: picking best candidate 7.723 * * * * [pick]: Picked # 7.723 * * * [progress]: localizing error 7.792 * * * [progress]: generating rewritten candidates 7.792 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.886 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.917 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 2) 7.947 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 7.978 * * * [progress]: generating series expansions 7.978 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.978 * [backup-simplify]: Simplify (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 7.978 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 7.978 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 7.978 * [taylor]: Taking taylor expansion of -2 in K 7.978 * [backup-simplify]: Simplify -2 into -2 7.978 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 7.978 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.978 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.978 * [taylor]: Taking taylor expansion of 1/2 in K 7.978 * [backup-simplify]: Simplify 1/2 into 1/2 7.978 * [taylor]: Taking taylor expansion of K in K 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.980 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.981 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 7.981 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 7.981 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.981 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 7.981 * [taylor]: Taking taylor expansion of (* 1 1) in K 7.981 * [taylor]: Taking taylor expansion of 1 in K 7.981 * [backup-simplify]: Simplify 1 into 1 7.981 * [taylor]: Taking taylor expansion of 1 in K 7.981 * [backup-simplify]: Simplify 1 into 1 7.981 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 7.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 7.981 * [taylor]: Taking taylor expansion of 1/2 in K 7.981 * [backup-simplify]: Simplify 1/2 into 1/2 7.981 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 7.981 * [taylor]: Taking taylor expansion of U in K 7.981 * [backup-simplify]: Simplify U into U 7.981 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.981 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.981 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.981 * [taylor]: Taking taylor expansion of 1/2 in K 7.981 * [backup-simplify]: Simplify 1/2 into 1/2 7.981 * [taylor]: Taking taylor expansion of K in K 7.981 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify 1 into 1 7.982 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.983 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.983 * [taylor]: Taking taylor expansion of J in K 7.983 * [backup-simplify]: Simplify J into J 7.983 * [backup-simplify]: Simplify (* 1 J) into J 7.983 * [backup-simplify]: Simplify (/ U J) into (/ U J) 7.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 7.983 * [taylor]: Taking taylor expansion of 1/2 in K 7.983 * [backup-simplify]: Simplify 1/2 into 1/2 7.983 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 7.983 * [taylor]: Taking taylor expansion of U in K 7.983 * [backup-simplify]: Simplify U into U 7.983 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.983 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.983 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.983 * [taylor]: Taking taylor expansion of 1/2 in K 7.984 * [backup-simplify]: Simplify 1/2 into 1/2 7.984 * [taylor]: Taking taylor expansion of K in K 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 1 into 1 7.984 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.985 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.985 * [taylor]: Taking taylor expansion of J in K 7.985 * [backup-simplify]: Simplify J into J 7.985 * [backup-simplify]: Simplify (* 1 J) into J 7.985 * [backup-simplify]: Simplify (/ U J) into (/ U J) 7.986 * [backup-simplify]: Simplify (* 1 1) into 1 7.986 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 7.986 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 7.986 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 7.986 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 7.987 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 7.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.988 * [backup-simplify]: Simplify (+ 0) into 0 7.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 7.988 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 7.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 7.989 * [backup-simplify]: Simplify (+ 0) into 0 7.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 7.990 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 7.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 7.991 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 7.991 * [backup-simplify]: Simplify (+ 0 0) into 0 7.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 7.991 * [taylor]: Taking taylor expansion of J in K 7.991 * [backup-simplify]: Simplify J into J 7.991 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 7.991 * [taylor]: Taking taylor expansion of -2 in J 7.992 * [backup-simplify]: Simplify -2 into -2 7.992 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 7.992 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.992 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.992 * [taylor]: Taking taylor expansion of 1/2 in J 7.992 * [backup-simplify]: Simplify 1/2 into 1/2 7.992 * [taylor]: Taking taylor expansion of K in J 7.992 * [backup-simplify]: Simplify K into K 7.992 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.992 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.992 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.992 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 7.992 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 7.992 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.992 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 7.992 * [taylor]: Taking taylor expansion of (* 1 1) in J 7.992 * [taylor]: Taking taylor expansion of 1 in J 7.992 * [backup-simplify]: Simplify 1 into 1 7.992 * [taylor]: Taking taylor expansion of 1 in J 7.992 * [backup-simplify]: Simplify 1 into 1 7.992 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 7.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 7.992 * [taylor]: Taking taylor expansion of 1/2 in J 7.992 * [backup-simplify]: Simplify 1/2 into 1/2 7.992 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 7.992 * [taylor]: Taking taylor expansion of U in J 7.992 * [backup-simplify]: Simplify U into U 7.992 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.992 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.993 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.993 * [taylor]: Taking taylor expansion of 1/2 in J 7.993 * [backup-simplify]: Simplify 1/2 into 1/2 7.993 * [taylor]: Taking taylor expansion of K in J 7.993 * [backup-simplify]: Simplify K into K 7.993 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.993 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.993 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.993 * [taylor]: Taking taylor expansion of J in J 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 1 into 1 7.993 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.993 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.994 * [backup-simplify]: Simplify (- 0) into 0 7.994 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.994 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.994 * [backup-simplify]: Simplify (+ 0) into 0 7.995 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.997 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.997 * [backup-simplify]: Simplify (- 0) into 0 7.997 * [backup-simplify]: Simplify (+ 0 0) into 0 7.998 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.998 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 7.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 7.998 * [taylor]: Taking taylor expansion of 1/2 in J 7.998 * [backup-simplify]: Simplify 1/2 into 1/2 7.998 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 7.998 * [taylor]: Taking taylor expansion of U in J 7.998 * [backup-simplify]: Simplify U into U 7.998 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.998 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.998 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.998 * [taylor]: Taking taylor expansion of 1/2 in J 7.998 * [backup-simplify]: Simplify 1/2 into 1/2 7.998 * [taylor]: Taking taylor expansion of K in J 7.998 * [backup-simplify]: Simplify K into K 7.998 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.998 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.998 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.999 * [taylor]: Taking taylor expansion of J in J 7.999 * [backup-simplify]: Simplify 0 into 0 7.999 * [backup-simplify]: Simplify 1 into 1 7.999 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.999 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.999 * [backup-simplify]: Simplify (- 0) into 0 7.999 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.999 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.000 * [backup-simplify]: Simplify (+ 0) into 0 8.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.002 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.003 * [backup-simplify]: Simplify (- 0) into 0 8.003 * [backup-simplify]: Simplify (+ 0 0) into 0 8.003 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.004 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 8.004 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.004 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.004 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.004 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.005 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.006 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.006 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.009 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.009 * [backup-simplify]: Simplify (- 0) into 0 8.010 * [backup-simplify]: Simplify (+ 0 0) into 0 8.010 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.010 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 8.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.012 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.014 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.015 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.015 * [backup-simplify]: Simplify (- 0) into 0 8.015 * [backup-simplify]: Simplify (+ 0 0) into 0 8.016 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.016 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 8.017 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 8.017 * [backup-simplify]: Simplify (+ 0 0) into 0 8.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 8.018 * [taylor]: Taking taylor expansion of J in J 8.018 * [backup-simplify]: Simplify 0 into 0 8.018 * [backup-simplify]: Simplify 1 into 1 8.018 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 8.018 * [taylor]: Taking taylor expansion of -2 in U 8.018 * [backup-simplify]: Simplify -2 into -2 8.018 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 8.018 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.018 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.018 * [taylor]: Taking taylor expansion of 1/2 in U 8.018 * [backup-simplify]: Simplify 1/2 into 1/2 8.018 * [taylor]: Taking taylor expansion of K in U 8.018 * [backup-simplify]: Simplify K into K 8.018 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.018 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.018 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.018 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 8.018 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.018 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.018 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 8.018 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.018 * [taylor]: Taking taylor expansion of 1 in U 8.018 * [backup-simplify]: Simplify 1 into 1 8.018 * [taylor]: Taking taylor expansion of 1 in U 8.018 * [backup-simplify]: Simplify 1 into 1 8.018 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.018 * [taylor]: Taking taylor expansion of 1/2 in U 8.018 * [backup-simplify]: Simplify 1/2 into 1/2 8.018 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.018 * [taylor]: Taking taylor expansion of U in U 8.018 * [backup-simplify]: Simplify 0 into 0 8.018 * [backup-simplify]: Simplify 1 into 1 8.019 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.019 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.019 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.019 * [taylor]: Taking taylor expansion of 1/2 in U 8.019 * [backup-simplify]: Simplify 1/2 into 1/2 8.019 * [taylor]: Taking taylor expansion of K in U 8.019 * [backup-simplify]: Simplify K into K 8.019 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.019 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.019 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.019 * [taylor]: Taking taylor expansion of J in U 8.019 * [backup-simplify]: Simplify J into J 8.019 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.019 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.019 * [backup-simplify]: Simplify (- 0) into 0 8.019 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.020 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.020 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.020 * [taylor]: Taking taylor expansion of 1/2 in U 8.020 * [backup-simplify]: Simplify 1/2 into 1/2 8.020 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.020 * [taylor]: Taking taylor expansion of U in U 8.020 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify 1 into 1 8.020 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.020 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.020 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.020 * [taylor]: Taking taylor expansion of 1/2 in U 8.020 * [backup-simplify]: Simplify 1/2 into 1/2 8.020 * [taylor]: Taking taylor expansion of K in U 8.020 * [backup-simplify]: Simplify K into K 8.020 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.020 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.020 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.020 * [taylor]: Taking taylor expansion of J in U 8.020 * [backup-simplify]: Simplify J into J 8.020 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.020 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.021 * [backup-simplify]: Simplify (- 0) into 0 8.021 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.021 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.021 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.021 * [backup-simplify]: Simplify (* 1 1) into 1 8.021 * [backup-simplify]: Simplify (+ 1 0) into 1 8.022 * [backup-simplify]: Simplify (sqrt 1) into 1 8.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.022 * [backup-simplify]: Simplify (+ 0 0) into 0 8.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.023 * [taylor]: Taking taylor expansion of J in U 8.023 * [backup-simplify]: Simplify J into J 8.023 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 8.023 * [taylor]: Taking taylor expansion of -2 in U 8.023 * [backup-simplify]: Simplify -2 into -2 8.023 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 8.023 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.023 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.023 * [taylor]: Taking taylor expansion of 1/2 in U 8.023 * [backup-simplify]: Simplify 1/2 into 1/2 8.023 * [taylor]: Taking taylor expansion of K in U 8.023 * [backup-simplify]: Simplify K into K 8.023 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.023 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.023 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.023 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 8.023 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.023 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.023 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 8.023 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.023 * [taylor]: Taking taylor expansion of 1 in U 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [taylor]: Taking taylor expansion of 1 in U 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.023 * [taylor]: Taking taylor expansion of 1/2 in U 8.023 * [backup-simplify]: Simplify 1/2 into 1/2 8.023 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.023 * [taylor]: Taking taylor expansion of U in U 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.023 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.023 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.024 * [taylor]: Taking taylor expansion of 1/2 in U 8.024 * [backup-simplify]: Simplify 1/2 into 1/2 8.024 * [taylor]: Taking taylor expansion of K in U 8.024 * [backup-simplify]: Simplify K into K 8.024 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.024 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.024 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.024 * [taylor]: Taking taylor expansion of J in U 8.024 * [backup-simplify]: Simplify J into J 8.024 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.024 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.024 * [backup-simplify]: Simplify (- 0) into 0 8.024 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.024 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.024 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.024 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.024 * [taylor]: Taking taylor expansion of 1/2 in U 8.024 * [backup-simplify]: Simplify 1/2 into 1/2 8.024 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.024 * [taylor]: Taking taylor expansion of U in U 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 1 into 1 8.024 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.024 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.024 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.024 * [taylor]: Taking taylor expansion of 1/2 in U 8.024 * [backup-simplify]: Simplify 1/2 into 1/2 8.024 * [taylor]: Taking taylor expansion of K in U 8.024 * [backup-simplify]: Simplify K into K 8.024 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.025 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.025 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.025 * [taylor]: Taking taylor expansion of J in U 8.025 * [backup-simplify]: Simplify J into J 8.025 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.025 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.025 * [backup-simplify]: Simplify (- 0) into 0 8.025 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.025 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.025 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.025 * [backup-simplify]: Simplify (* 1 1) into 1 8.026 * [backup-simplify]: Simplify (+ 1 0) into 1 8.026 * [backup-simplify]: Simplify (sqrt 1) into 1 8.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.027 * [backup-simplify]: Simplify (+ 0 0) into 0 8.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.027 * [taylor]: Taking taylor expansion of J in U 8.027 * [backup-simplify]: Simplify J into J 8.027 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.027 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.028 * [backup-simplify]: Simplify (- 0) into 0 8.028 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.028 * [backup-simplify]: Simplify (* 1 J) into J 8.028 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.028 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 8.028 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 8.028 * [taylor]: Taking taylor expansion of -2 in J 8.028 * [backup-simplify]: Simplify -2 into -2 8.028 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.028 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.028 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.028 * [taylor]: Taking taylor expansion of 1/2 in J 8.028 * [backup-simplify]: Simplify 1/2 into 1/2 8.028 * [taylor]: Taking taylor expansion of K in J 8.028 * [backup-simplify]: Simplify K into K 8.028 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.028 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.028 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.028 * [taylor]: Taking taylor expansion of J in J 8.028 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify 1 into 1 8.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 8.029 * [backup-simplify]: Simplify (+ 0) into 0 8.029 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.030 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.030 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.030 * [backup-simplify]: Simplify (- 0) into 0 8.031 * [backup-simplify]: Simplify (+ 0 0) into 0 8.031 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.031 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 8.031 * [taylor]: Taking taylor expansion of 0 in J 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.031 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.031 * [backup-simplify]: Simplify (- 0) into 0 8.032 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.032 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.032 * [backup-simplify]: Simplify (* -2 0) into 0 8.032 * [taylor]: Taking taylor expansion of 0 in K 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.033 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 8.033 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 8.033 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.033 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.034 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 8.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.036 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.037 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.038 * [backup-simplify]: Simplify (- 0) into 0 8.038 * [backup-simplify]: Simplify (+ 0 0) into 0 8.038 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 8.039 * [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)))) 8.039 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 8.039 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 8.039 * [taylor]: Taking taylor expansion of 1/4 in J 8.039 * [backup-simplify]: Simplify 1/4 into 1/4 8.039 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 8.039 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.039 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.039 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.039 * [taylor]: Taking taylor expansion of 1/2 in J 8.039 * [backup-simplify]: Simplify 1/2 into 1/2 8.039 * [taylor]: Taking taylor expansion of K in J 8.039 * [backup-simplify]: Simplify K into K 8.039 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.039 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.039 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.039 * [taylor]: Taking taylor expansion of J in J 8.039 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify 1 into 1 8.039 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.039 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.039 * [backup-simplify]: Simplify (- 0) into 0 8.039 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.039 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.040 * [backup-simplify]: Simplify (+ 0) into 0 8.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.041 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.041 * [backup-simplify]: Simplify (- 0) into 0 8.042 * [backup-simplify]: Simplify (+ 0 0) into 0 8.042 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.042 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 8.042 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 8.042 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 8.042 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 8.042 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 8.042 * [taylor]: Taking taylor expansion of 1/4 in K 8.042 * [backup-simplify]: Simplify 1/4 into 1/4 8.042 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 8.042 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.042 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.042 * [taylor]: Taking taylor expansion of 1/2 in K 8.042 * [backup-simplify]: Simplify 1/2 into 1/2 8.042 * [taylor]: Taking taylor expansion of K in K 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 1 into 1 8.043 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.043 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.043 * [backup-simplify]: Simplify (/ 1 1) into 1 8.044 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 8.044 * [backup-simplify]: Simplify (- 1/4) into -1/4 8.044 * [backup-simplify]: Simplify -1/4 into -1/4 8.044 * [taylor]: Taking taylor expansion of 0 in K 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify (+ 0) into 0 8.045 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.045 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.046 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.046 * [backup-simplify]: Simplify (- 0) into 0 8.046 * [backup-simplify]: Simplify (+ 0 0) into 0 8.046 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.047 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 8.047 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 8.047 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 8.047 * [taylor]: Taking taylor expansion of 2 in K 8.047 * [backup-simplify]: Simplify 2 into 2 8.047 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.047 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.047 * [taylor]: Taking taylor expansion of 1/2 in K 8.047 * [backup-simplify]: Simplify 1/2 into 1/2 8.047 * [taylor]: Taking taylor expansion of K in K 8.047 * [backup-simplify]: Simplify 0 into 0 8.047 * [backup-simplify]: Simplify 1 into 1 8.047 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.048 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.048 * [backup-simplify]: Simplify (* 2 1) into 2 8.048 * [backup-simplify]: Simplify (- 2) into -2 8.048 * [backup-simplify]: Simplify -2 into -2 8.048 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.049 * [backup-simplify]: Simplify (+ 0) into 0 8.050 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.051 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.051 * [backup-simplify]: Simplify (- 0) into 0 8.051 * [backup-simplify]: Simplify (+ 0 0) into 0 8.051 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.051 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 8.052 * [backup-simplify]: Simplify (+ 0) into 0 8.052 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.054 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.054 * [backup-simplify]: Simplify (- 0) into 0 8.054 * [backup-simplify]: Simplify (+ 0 0) into 0 8.054 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.054 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 8.055 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 8.055 * [backup-simplify]: Simplify (+ 0 0) into 0 8.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 8.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 8.057 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.058 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 8.059 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.060 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.060 * [backup-simplify]: Simplify (- 0) into 0 8.061 * [backup-simplify]: Simplify (+ 0 0) into 0 8.061 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 8.062 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 8.062 * [taylor]: Taking taylor expansion of 0 in J 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.063 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.064 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.065 * [backup-simplify]: Simplify (- 0) into 0 8.065 * [backup-simplify]: Simplify (+ 0 0) into 0 8.065 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.066 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 8.066 * [backup-simplify]: Simplify (- 0) into 0 8.066 * [taylor]: Taking taylor expansion of 0 in K 8.066 * [backup-simplify]: Simplify 0 into 0 8.066 * [backup-simplify]: Simplify 0 into 0 8.066 * [taylor]: Taking taylor expansion of 0 in K 8.066 * [backup-simplify]: Simplify 0 into 0 8.066 * [backup-simplify]: Simplify 0 into 0 8.067 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.067 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.068 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.069 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.069 * [backup-simplify]: Simplify (- 0) into 0 8.069 * [backup-simplify]: Simplify (+ 0 0) into 0 8.070 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.070 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 8.070 * [taylor]: Taking taylor expansion of 0 in K 8.070 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify (+ 0) into 0 8.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 8.072 * [backup-simplify]: Simplify (- 0) into 0 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 8.072 * [backup-simplify]: Simplify (* (* (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)))) -2) (cos (/ (/ 1 K) 2))) (/ 1 J)) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 8.072 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 8.072 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 8.072 * [taylor]: Taking taylor expansion of -2 in K 8.072 * [backup-simplify]: Simplify -2 into -2 8.072 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 8.072 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 8.072 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 8.073 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.073 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 8.073 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.073 * [taylor]: Taking taylor expansion of 1 in K 8.073 * [backup-simplify]: Simplify 1 into 1 8.073 * [taylor]: Taking taylor expansion of 1 in K 8.073 * [backup-simplify]: Simplify 1 into 1 8.073 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 8.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 8.073 * [taylor]: Taking taylor expansion of 1/2 in K 8.073 * [backup-simplify]: Simplify 1/2 into 1/2 8.073 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 8.073 * [taylor]: Taking taylor expansion of J in K 8.073 * [backup-simplify]: Simplify J into J 8.073 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 8.073 * [taylor]: Taking taylor expansion of U in K 8.073 * [backup-simplify]: Simplify U into U 8.073 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.073 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.073 * [taylor]: Taking taylor expansion of 1/2 in K 8.073 * [backup-simplify]: Simplify 1/2 into 1/2 8.073 * [taylor]: Taking taylor expansion of K in K 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify 1 into 1 8.074 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.074 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.074 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.074 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 8.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 8.074 * [taylor]: Taking taylor expansion of 1/2 in K 8.074 * [backup-simplify]: Simplify 1/2 into 1/2 8.074 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 8.074 * [taylor]: Taking taylor expansion of J in K 8.074 * [backup-simplify]: Simplify J into J 8.074 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 8.074 * [taylor]: Taking taylor expansion of U in K 8.074 * [backup-simplify]: Simplify U into U 8.074 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.074 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.074 * [taylor]: Taking taylor expansion of 1/2 in K 8.074 * [backup-simplify]: Simplify 1/2 into 1/2 8.074 * [taylor]: Taking taylor expansion of K in K 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [backup-simplify]: Simplify 1 into 1 8.075 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.075 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.075 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.075 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 8.075 * [backup-simplify]: Simplify (* 1 1) into 1 8.076 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 8.076 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 8.076 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 8.076 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 8.077 * [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)) 8.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.077 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 8.078 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 8.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 8.078 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 8.079 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 8.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 8.080 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 8.080 * [backup-simplify]: Simplify (+ 0 0) into 0 8.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 8.080 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.080 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.080 * [taylor]: Taking taylor expansion of 1/2 in K 8.080 * [backup-simplify]: Simplify 1/2 into 1/2 8.080 * [taylor]: Taking taylor expansion of K in K 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 1 into 1 8.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.081 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.081 * [taylor]: Taking taylor expansion of J in K 8.081 * [backup-simplify]: Simplify J into J 8.081 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 8.082 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 8.082 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 8.082 * [taylor]: Taking taylor expansion of -2 in J 8.082 * [backup-simplify]: Simplify -2 into -2 8.082 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 8.082 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 8.082 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 8.082 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.082 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 8.082 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.082 * [taylor]: Taking taylor expansion of 1 in J 8.082 * [backup-simplify]: Simplify 1 into 1 8.082 * [taylor]: Taking taylor expansion of 1 in J 8.082 * [backup-simplify]: Simplify 1 into 1 8.082 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 8.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 8.082 * [taylor]: Taking taylor expansion of 1/2 in J 8.082 * [backup-simplify]: Simplify 1/2 into 1/2 8.082 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 8.082 * [taylor]: Taking taylor expansion of J in J 8.082 * [backup-simplify]: Simplify 0 into 0 8.082 * [backup-simplify]: Simplify 1 into 1 8.082 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 8.082 * [taylor]: Taking taylor expansion of U in J 8.082 * [backup-simplify]: Simplify U into U 8.082 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.082 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.083 * [taylor]: Taking taylor expansion of 1/2 in J 8.083 * [backup-simplify]: Simplify 1/2 into 1/2 8.083 * [taylor]: Taking taylor expansion of K in J 8.083 * [backup-simplify]: Simplify K into K 8.083 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.083 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.083 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.083 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.083 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.083 * [backup-simplify]: Simplify (- 0) into 0 8.084 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.084 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.084 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 8.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 8.084 * [taylor]: Taking taylor expansion of 1/2 in J 8.084 * [backup-simplify]: Simplify 1/2 into 1/2 8.084 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 8.084 * [taylor]: Taking taylor expansion of J in J 8.084 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify 1 into 1 8.084 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 8.084 * [taylor]: Taking taylor expansion of U in J 8.084 * [backup-simplify]: Simplify U into U 8.084 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.084 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.084 * [taylor]: Taking taylor expansion of 1/2 in J 8.084 * [backup-simplify]: Simplify 1/2 into 1/2 8.084 * [taylor]: Taking taylor expansion of K in J 8.084 * [backup-simplify]: Simplify K into K 8.084 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.084 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.084 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.084 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.085 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.085 * [backup-simplify]: Simplify (- 0) into 0 8.085 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.085 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.085 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 8.086 * [backup-simplify]: Simplify (* 1 1) into 1 8.086 * [backup-simplify]: Simplify (+ 1 0) into 1 8.087 * [backup-simplify]: Simplify (sqrt 1) into 1 8.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.088 * [backup-simplify]: Simplify (+ 0 0) into 0 8.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.089 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.089 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.089 * [taylor]: Taking taylor expansion of 1/2 in J 8.089 * [backup-simplify]: Simplify 1/2 into 1/2 8.089 * [taylor]: Taking taylor expansion of K in J 8.089 * [backup-simplify]: Simplify K into K 8.089 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.089 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.089 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.089 * [taylor]: Taking taylor expansion of J in J 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 1 into 1 8.089 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.089 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.090 * [backup-simplify]: Simplify (- 0) into 0 8.090 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.090 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 8.090 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.090 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 8.090 * [taylor]: Taking taylor expansion of -2 in U 8.090 * [backup-simplify]: Simplify -2 into -2 8.090 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 8.090 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 8.090 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.090 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.090 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 8.090 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.090 * [taylor]: Taking taylor expansion of 1 in U 8.090 * [backup-simplify]: Simplify 1 into 1 8.090 * [taylor]: Taking taylor expansion of 1 in U 8.090 * [backup-simplify]: Simplify 1 into 1 8.090 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.090 * [taylor]: Taking taylor expansion of 1/2 in U 8.090 * [backup-simplify]: Simplify 1/2 into 1/2 8.090 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.090 * [taylor]: Taking taylor expansion of J in U 8.090 * [backup-simplify]: Simplify J into J 8.091 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.091 * [taylor]: Taking taylor expansion of U in U 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 1 into 1 8.091 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.091 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.091 * [taylor]: Taking taylor expansion of 1/2 in U 8.091 * [backup-simplify]: Simplify 1/2 into 1/2 8.091 * [taylor]: Taking taylor expansion of K in U 8.091 * [backup-simplify]: Simplify K into K 8.091 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.091 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.091 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.091 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.091 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.091 * [backup-simplify]: Simplify (- 0) into 0 8.092 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.092 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.092 * [backup-simplify]: Simplify (+ 0) into 0 8.093 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.093 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.094 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.094 * [backup-simplify]: Simplify (- 0) into 0 8.095 * [backup-simplify]: Simplify (+ 0 0) into 0 8.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.095 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.095 * [taylor]: Taking taylor expansion of 1/2 in U 8.095 * [backup-simplify]: Simplify 1/2 into 1/2 8.095 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.095 * [taylor]: Taking taylor expansion of J in U 8.095 * [backup-simplify]: Simplify J into J 8.095 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.095 * [taylor]: Taking taylor expansion of U in U 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify 1 into 1 8.095 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.096 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.096 * [taylor]: Taking taylor expansion of 1/2 in U 8.096 * [backup-simplify]: Simplify 1/2 into 1/2 8.096 * [taylor]: Taking taylor expansion of K in U 8.096 * [backup-simplify]: Simplify K into K 8.096 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.096 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.096 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.096 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.096 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.099 * [backup-simplify]: Simplify (- 0) into 0 8.099 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.099 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.100 * [backup-simplify]: Simplify (+ 0) into 0 8.100 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.100 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.102 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.102 * [backup-simplify]: Simplify (- 0) into 0 8.102 * [backup-simplify]: Simplify (+ 0 0) into 0 8.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.103 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.103 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.103 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.103 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.104 * [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))) 8.104 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.105 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.106 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.106 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.107 * [backup-simplify]: Simplify (- 0) into 0 8.108 * [backup-simplify]: Simplify (+ 0 0) into 0 8.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.109 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.112 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.113 * [backup-simplify]: Simplify (- 0) into 0 8.113 * [backup-simplify]: Simplify (+ 0 0) into 0 8.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.114 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.115 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.116 * [backup-simplify]: Simplify (+ 0 0) into 0 8.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.116 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.116 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.116 * [taylor]: Taking taylor expansion of 1/2 in U 8.116 * [backup-simplify]: Simplify 1/2 into 1/2 8.116 * [taylor]: Taking taylor expansion of K in U 8.116 * [backup-simplify]: Simplify K into K 8.116 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.116 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.116 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.116 * [taylor]: Taking taylor expansion of J in U 8.116 * [backup-simplify]: Simplify J into J 8.116 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.116 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.117 * [backup-simplify]: Simplify (- 0) into 0 8.117 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.117 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 8.117 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.117 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 8.117 * [taylor]: Taking taylor expansion of -2 in U 8.117 * [backup-simplify]: Simplify -2 into -2 8.117 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 8.117 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 8.117 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.117 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 8.117 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.118 * [taylor]: Taking taylor expansion of 1 in U 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [taylor]: Taking taylor expansion of 1 in U 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.118 * [taylor]: Taking taylor expansion of 1/2 in U 8.118 * [backup-simplify]: Simplify 1/2 into 1/2 8.118 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.118 * [taylor]: Taking taylor expansion of J in U 8.118 * [backup-simplify]: Simplify J into J 8.118 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.118 * [taylor]: Taking taylor expansion of U in U 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.118 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.118 * [taylor]: Taking taylor expansion of 1/2 in U 8.118 * [backup-simplify]: Simplify 1/2 into 1/2 8.118 * [taylor]: Taking taylor expansion of K in U 8.118 * [backup-simplify]: Simplify K into K 8.118 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.118 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.118 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.118 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.118 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.119 * [backup-simplify]: Simplify (- 0) into 0 8.119 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.119 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.120 * [backup-simplify]: Simplify (+ 0) into 0 8.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.120 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.121 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.122 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.122 * [backup-simplify]: Simplify (- 0) into 0 8.123 * [backup-simplify]: Simplify (+ 0 0) into 0 8.123 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.123 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.123 * [taylor]: Taking taylor expansion of 1/2 in U 8.123 * [backup-simplify]: Simplify 1/2 into 1/2 8.123 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.123 * [taylor]: Taking taylor expansion of J in U 8.123 * [backup-simplify]: Simplify J into J 8.123 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.124 * [taylor]: Taking taylor expansion of U in U 8.124 * [backup-simplify]: Simplify 0 into 0 8.124 * [backup-simplify]: Simplify 1 into 1 8.124 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.124 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.124 * [taylor]: Taking taylor expansion of 1/2 in U 8.124 * [backup-simplify]: Simplify 1/2 into 1/2 8.124 * [taylor]: Taking taylor expansion of K in U 8.124 * [backup-simplify]: Simplify K into K 8.124 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.124 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.124 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.124 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.124 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.125 * [backup-simplify]: Simplify (- 0) into 0 8.125 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.125 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.125 * [backup-simplify]: Simplify (+ 0) into 0 8.126 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.126 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.127 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.127 * [backup-simplify]: Simplify (- 0) into 0 8.128 * [backup-simplify]: Simplify (+ 0 0) into 0 8.128 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.128 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.129 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.129 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.129 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.129 * [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))) 8.129 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.131 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.131 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.132 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.133 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.133 * [backup-simplify]: Simplify (- 0) into 0 8.134 * [backup-simplify]: Simplify (+ 0 0) into 0 8.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.135 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.139 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.140 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.140 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.141 * [backup-simplify]: Simplify (- 0) into 0 8.141 * [backup-simplify]: Simplify (+ 0 0) into 0 8.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.142 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.143 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.144 * [backup-simplify]: Simplify (+ 0 0) into 0 8.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.144 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.144 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.144 * [taylor]: Taking taylor expansion of 1/2 in U 8.144 * [backup-simplify]: Simplify 1/2 into 1/2 8.144 * [taylor]: Taking taylor expansion of K in U 8.144 * [backup-simplify]: Simplify K into K 8.144 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.144 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.144 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.144 * [taylor]: Taking taylor expansion of J in U 8.144 * [backup-simplify]: Simplify J into J 8.144 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.144 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.145 * [backup-simplify]: Simplify (- 0) into 0 8.145 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.145 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 8.145 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.146 * [backup-simplify]: Simplify (* -2 1/2) into -1 8.146 * [taylor]: Taking taylor expansion of -1 in J 8.146 * [backup-simplify]: Simplify -1 into -1 8.146 * [backup-simplify]: Simplify (+ 0) into 0 8.147 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.147 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.148 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.148 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.149 * [backup-simplify]: Simplify (- 0) into 0 8.149 * [backup-simplify]: Simplify (+ 0 0) into 0 8.149 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.149 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 8.150 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 8.150 * [taylor]: Taking taylor expansion of 0 in J 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [taylor]: Taking taylor expansion of -1 in K 8.150 * [backup-simplify]: Simplify -1 into -1 8.150 * [backup-simplify]: Simplify -1 into -1 8.151 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.152 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.152 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.153 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.154 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.154 * [backup-simplify]: Simplify (- 0) into 0 8.154 * [backup-simplify]: Simplify (+ 0 0) into 0 8.155 * [backup-simplify]: Simplify (* 1 1) into 1 8.156 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.157 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.157 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.159 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.159 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.160 * [backup-simplify]: Simplify (- 0) into 0 8.160 * [backup-simplify]: Simplify (+ 0 0) into 0 8.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.162 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.164 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.165 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.165 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.166 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.168 * [backup-simplify]: Simplify (- 0) into 0 8.168 * [backup-simplify]: Simplify (+ 0 0) into 0 8.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.170 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.171 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 8.172 * [backup-simplify]: Simplify (+ 1 0) into 1 8.173 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 8.173 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 8.174 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 8.175 * [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)))) 8.175 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 8.175 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 8.175 * [taylor]: Taking taylor expansion of 2 in J 8.175 * [backup-simplify]: Simplify 2 into 2 8.175 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 8.175 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.175 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.175 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.175 * [taylor]: Taking taylor expansion of 1/2 in J 8.175 * [backup-simplify]: Simplify 1/2 into 1/2 8.175 * [taylor]: Taking taylor expansion of K in J 8.175 * [backup-simplify]: Simplify K into K 8.175 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.175 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.175 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.175 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.175 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.176 * [backup-simplify]: Simplify (- 0) into 0 8.176 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.176 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.176 * [taylor]: Taking taylor expansion of J in J 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify 1 into 1 8.176 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.177 * [backup-simplify]: Simplify (* 1 1) into 1 8.177 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 8.177 * [backup-simplify]: Simplify (+ 0) into 0 8.178 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.178 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.179 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.179 * [backup-simplify]: Simplify (- 0) into 0 8.180 * [backup-simplify]: Simplify (+ 0 0) into 0 8.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 8.182 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.183 * [backup-simplify]: Simplify (- 0) into 0 8.183 * [taylor]: Taking taylor expansion of 0 in K 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [taylor]: Taking taylor expansion of 0 in K 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [taylor]: Taking taylor expansion of 0 in K 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.185 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.187 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.188 * [backup-simplify]: Simplify (- 0) into 0 8.188 * [backup-simplify]: Simplify (+ 0 0) into 0 8.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.191 * [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 8.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.193 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.194 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.195 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.196 * [backup-simplify]: Simplify (- 0) into 0 8.196 * [backup-simplify]: Simplify (+ 0 0) into 0 8.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 8.198 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 8.202 * [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 8.203 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.204 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.205 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.206 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.207 * [backup-simplify]: Simplify (- 0) into 0 8.207 * [backup-simplify]: Simplify (+ 0 0) into 0 8.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 8.209 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 8.211 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 8.212 * [backup-simplify]: Simplify (+ 0 0) into 0 8.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.213 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.213 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 8.214 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 8.214 * [taylor]: Taking taylor expansion of 0 in J 8.214 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.217 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.217 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.218 * [backup-simplify]: Simplify (- 0) into 0 8.218 * [backup-simplify]: Simplify (+ 0 0) into 0 8.219 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.222 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.223 * [backup-simplify]: Simplify (- 0) into 0 8.223 * [taylor]: Taking taylor expansion of 0 in K 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [taylor]: Taking taylor expansion of 0 in K 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 8.223 * [backup-simplify]: Simplify (* (* (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)))) -2) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 8.223 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 8.223 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 8.224 * [taylor]: Taking taylor expansion of 2 in K 8.224 * [backup-simplify]: Simplify 2 into 2 8.224 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 8.224 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 8.224 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.224 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.224 * [taylor]: Taking taylor expansion of -1/2 in K 8.224 * [backup-simplify]: Simplify -1/2 into -1/2 8.224 * [taylor]: Taking taylor expansion of K in K 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.225 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.225 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.225 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 8.225 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.225 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 8.225 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.225 * [taylor]: Taking taylor expansion of 1 in K 8.225 * [backup-simplify]: Simplify 1 into 1 8.225 * [taylor]: Taking taylor expansion of 1 in K 8.225 * [backup-simplify]: Simplify 1 into 1 8.225 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 8.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.225 * [taylor]: Taking taylor expansion of 1/2 in K 8.225 * [backup-simplify]: Simplify 1/2 into 1/2 8.225 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.225 * [taylor]: Taking taylor expansion of J in K 8.225 * [backup-simplify]: Simplify J into J 8.225 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.225 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.225 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.225 * [taylor]: Taking taylor expansion of -1/2 in K 8.225 * [backup-simplify]: Simplify -1/2 into -1/2 8.225 * [taylor]: Taking taylor expansion of K in K 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 1 into 1 8.226 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.226 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.226 * [taylor]: Taking taylor expansion of U in K 8.226 * [backup-simplify]: Simplify U into U 8.226 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.226 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.226 * [taylor]: Taking taylor expansion of 1/2 in K 8.226 * [backup-simplify]: Simplify 1/2 into 1/2 8.226 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.226 * [taylor]: Taking taylor expansion of J in K 8.226 * [backup-simplify]: Simplify J into J 8.226 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.226 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.226 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.227 * [taylor]: Taking taylor expansion of -1/2 in K 8.227 * [backup-simplify]: Simplify -1/2 into -1/2 8.227 * [taylor]: Taking taylor expansion of K in K 8.227 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify 1 into 1 8.227 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.227 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.227 * [taylor]: Taking taylor expansion of U in K 8.227 * [backup-simplify]: Simplify U into U 8.227 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.227 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.228 * [backup-simplify]: Simplify (* 1 1) into 1 8.228 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.228 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.228 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.229 * [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))))) 8.229 * [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)))))) 8.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 8.230 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 8.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 8.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 8.231 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 8.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 8.232 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 8.233 * [backup-simplify]: Simplify (+ 0 0) into 0 8.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 8.233 * [taylor]: Taking taylor expansion of J in K 8.233 * [backup-simplify]: Simplify J into J 8.234 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 8.234 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 8.234 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 8.234 * [taylor]: Taking taylor expansion of 2 in J 8.234 * [backup-simplify]: Simplify 2 into 2 8.234 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 8.234 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 8.235 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.235 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.235 * [taylor]: Taking taylor expansion of -1/2 in J 8.235 * [backup-simplify]: Simplify -1/2 into -1/2 8.235 * [taylor]: Taking taylor expansion of K in J 8.235 * [backup-simplify]: Simplify K into K 8.235 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.235 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.235 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.235 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 8.235 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.235 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 8.235 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.235 * [taylor]: Taking taylor expansion of 1 in J 8.235 * [backup-simplify]: Simplify 1 into 1 8.235 * [taylor]: Taking taylor expansion of 1 in J 8.235 * [backup-simplify]: Simplify 1 into 1 8.235 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 8.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.235 * [taylor]: Taking taylor expansion of 1/2 in J 8.235 * [backup-simplify]: Simplify 1/2 into 1/2 8.235 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.235 * [taylor]: Taking taylor expansion of J in J 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 1 into 1 8.235 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.235 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.235 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.235 * [taylor]: Taking taylor expansion of -1/2 in J 8.235 * [backup-simplify]: Simplify -1/2 into -1/2 8.235 * [taylor]: Taking taylor expansion of K in J 8.235 * [backup-simplify]: Simplify K into K 8.236 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.236 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.236 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.236 * [taylor]: Taking taylor expansion of U in J 8.236 * [backup-simplify]: Simplify U into U 8.236 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.236 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.236 * [backup-simplify]: Simplify (- 0) into 0 8.236 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.237 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.237 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.237 * [taylor]: Taking taylor expansion of 1/2 in J 8.237 * [backup-simplify]: Simplify 1/2 into 1/2 8.237 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.237 * [taylor]: Taking taylor expansion of J in J 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify 1 into 1 8.237 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.237 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.237 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.237 * [taylor]: Taking taylor expansion of -1/2 in J 8.237 * [backup-simplify]: Simplify -1/2 into -1/2 8.237 * [taylor]: Taking taylor expansion of K in J 8.237 * [backup-simplify]: Simplify K into K 8.237 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.237 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.237 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.237 * [taylor]: Taking taylor expansion of U in J 8.237 * [backup-simplify]: Simplify U into U 8.237 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.237 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.238 * [backup-simplify]: Simplify (- 0) into 0 8.238 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.238 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.238 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.239 * [backup-simplify]: Simplify (* 1 1) into 1 8.239 * [backup-simplify]: Simplify (+ 1 0) into 1 8.240 * [backup-simplify]: Simplify (sqrt 1) into 1 8.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.241 * [backup-simplify]: Simplify (+ 0 0) into 0 8.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.241 * [taylor]: Taking taylor expansion of J in J 8.242 * [backup-simplify]: Simplify 0 into 0 8.242 * [backup-simplify]: Simplify 1 into 1 8.242 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.242 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.242 * [backup-simplify]: Simplify (- 0) into 0 8.242 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.242 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.242 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.242 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 8.242 * [taylor]: Taking taylor expansion of 2 in U 8.243 * [backup-simplify]: Simplify 2 into 2 8.243 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 8.243 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.243 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.243 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.243 * [taylor]: Taking taylor expansion of -1/2 in U 8.243 * [backup-simplify]: Simplify -1/2 into -1/2 8.243 * [taylor]: Taking taylor expansion of K in U 8.243 * [backup-simplify]: Simplify K into K 8.243 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.243 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.243 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.243 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.243 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.243 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.243 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.243 * [taylor]: Taking taylor expansion of 1 in U 8.243 * [backup-simplify]: Simplify 1 into 1 8.243 * [taylor]: Taking taylor expansion of 1 in U 8.243 * [backup-simplify]: Simplify 1 into 1 8.243 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.243 * [taylor]: Taking taylor expansion of 1/2 in U 8.243 * [backup-simplify]: Simplify 1/2 into 1/2 8.243 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.243 * [taylor]: Taking taylor expansion of J in U 8.243 * [backup-simplify]: Simplify J into J 8.243 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.243 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.243 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.243 * [taylor]: Taking taylor expansion of -1/2 in U 8.243 * [backup-simplify]: Simplify -1/2 into -1/2 8.244 * [taylor]: Taking taylor expansion of K in U 8.244 * [backup-simplify]: Simplify K into K 8.244 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.244 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.244 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.244 * [taylor]: Taking taylor expansion of U in U 8.244 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify 1 into 1 8.244 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.244 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.244 * [backup-simplify]: Simplify (- 0) into 0 8.244 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.245 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.245 * [backup-simplify]: Simplify (+ 0) into 0 8.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.246 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.250 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.251 * [backup-simplify]: Simplify (- 0) into 0 8.251 * [backup-simplify]: Simplify (+ 0 0) into 0 8.252 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.252 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.252 * [taylor]: Taking taylor expansion of 1/2 in U 8.252 * [backup-simplify]: Simplify 1/2 into 1/2 8.252 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.252 * [taylor]: Taking taylor expansion of J in U 8.252 * [backup-simplify]: Simplify J into J 8.252 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.252 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.252 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.252 * [taylor]: Taking taylor expansion of -1/2 in U 8.252 * [backup-simplify]: Simplify -1/2 into -1/2 8.252 * [taylor]: Taking taylor expansion of K in U 8.252 * [backup-simplify]: Simplify K into K 8.252 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.253 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.253 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.253 * [taylor]: Taking taylor expansion of U in U 8.253 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify 1 into 1 8.253 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.253 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.253 * [backup-simplify]: Simplify (- 0) into 0 8.254 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.254 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.254 * [backup-simplify]: Simplify (+ 0) into 0 8.255 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.255 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.256 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.257 * [backup-simplify]: Simplify (- 0) into 0 8.257 * [backup-simplify]: Simplify (+ 0 0) into 0 8.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.258 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.258 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.258 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.258 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.259 * [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))) 8.259 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.260 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.261 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.261 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.262 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.263 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.263 * [backup-simplify]: Simplify (- 0) into 0 8.264 * [backup-simplify]: Simplify (+ 0 0) into 0 8.264 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.265 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.268 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.268 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.269 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.270 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.270 * [backup-simplify]: Simplify (- 0) into 0 8.271 * [backup-simplify]: Simplify (+ 0 0) into 0 8.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.272 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.273 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.273 * [backup-simplify]: Simplify (+ 0 0) into 0 8.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.274 * [taylor]: Taking taylor expansion of J in U 8.274 * [backup-simplify]: Simplify J into J 8.274 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.274 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.274 * [backup-simplify]: Simplify (- 0) into 0 8.274 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.274 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 8.275 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.275 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 8.275 * [taylor]: Taking taylor expansion of 2 in U 8.275 * [backup-simplify]: Simplify 2 into 2 8.275 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 8.275 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.275 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.275 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.275 * [taylor]: Taking taylor expansion of -1/2 in U 8.275 * [backup-simplify]: Simplify -1/2 into -1/2 8.275 * [taylor]: Taking taylor expansion of K in U 8.275 * [backup-simplify]: Simplify K into K 8.275 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.275 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.275 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.275 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.275 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.275 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.275 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.275 * [taylor]: Taking taylor expansion of 1 in U 8.275 * [backup-simplify]: Simplify 1 into 1 8.275 * [taylor]: Taking taylor expansion of 1 in U 8.275 * [backup-simplify]: Simplify 1 into 1 8.275 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.275 * [taylor]: Taking taylor expansion of 1/2 in U 8.275 * [backup-simplify]: Simplify 1/2 into 1/2 8.275 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.275 * [taylor]: Taking taylor expansion of J in U 8.276 * [backup-simplify]: Simplify J into J 8.276 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.276 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.276 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.276 * [taylor]: Taking taylor expansion of -1/2 in U 8.276 * [backup-simplify]: Simplify -1/2 into -1/2 8.276 * [taylor]: Taking taylor expansion of K in U 8.276 * [backup-simplify]: Simplify K into K 8.276 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.276 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.276 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.276 * [taylor]: Taking taylor expansion of U in U 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 1 into 1 8.276 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.276 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.277 * [backup-simplify]: Simplify (- 0) into 0 8.277 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.277 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.277 * [backup-simplify]: Simplify (+ 0) into 0 8.278 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.278 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.279 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.280 * [backup-simplify]: Simplify (- 0) into 0 8.280 * [backup-simplify]: Simplify (+ 0 0) into 0 8.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.281 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.281 * [taylor]: Taking taylor expansion of 1/2 in U 8.281 * [backup-simplify]: Simplify 1/2 into 1/2 8.281 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.281 * [taylor]: Taking taylor expansion of J in U 8.281 * [backup-simplify]: Simplify J into J 8.281 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.281 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.281 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.281 * [taylor]: Taking taylor expansion of -1/2 in U 8.281 * [backup-simplify]: Simplify -1/2 into -1/2 8.281 * [taylor]: Taking taylor expansion of K in U 8.281 * [backup-simplify]: Simplify K into K 8.281 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.281 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.281 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.281 * [taylor]: Taking taylor expansion of U in U 8.281 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify 1 into 1 8.281 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.281 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.282 * [backup-simplify]: Simplify (- 0) into 0 8.282 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.282 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.283 * [backup-simplify]: Simplify (+ 0) into 0 8.283 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.283 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.285 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.285 * [backup-simplify]: Simplify (- 0) into 0 8.286 * [backup-simplify]: Simplify (+ 0 0) into 0 8.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.286 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.286 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.286 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.287 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.287 * [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))) 8.287 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.288 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.289 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.290 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.291 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.291 * [backup-simplify]: Simplify (- 0) into 0 8.292 * [backup-simplify]: Simplify (+ 0 0) into 0 8.293 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.293 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.295 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.296 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.297 * [backup-simplify]: Simplify (- 0) into 0 8.298 * [backup-simplify]: Simplify (+ 0 0) into 0 8.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.299 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.300 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.300 * [backup-simplify]: Simplify (+ 0 0) into 0 8.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.300 * [taylor]: Taking taylor expansion of J in U 8.300 * [backup-simplify]: Simplify J into J 8.300 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.301 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.301 * [backup-simplify]: Simplify (- 0) into 0 8.301 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.301 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 8.301 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.302 * [backup-simplify]: Simplify (* 2 1/2) into 1 8.302 * [taylor]: Taking taylor expansion of 1 in J 8.302 * [backup-simplify]: Simplify 1 into 1 8.302 * [backup-simplify]: Simplify (+ 0) into 0 8.303 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.303 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.305 * [backup-simplify]: Simplify (- 0) into 0 8.305 * [backup-simplify]: Simplify (+ 0 0) into 0 8.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.305 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 8.306 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 8.306 * [taylor]: Taking taylor expansion of 0 in J 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [taylor]: Taking taylor expansion of 1 in K 8.306 * [backup-simplify]: Simplify 1 into 1 8.306 * [backup-simplify]: Simplify 1 into 1 8.307 * [backup-simplify]: Simplify (* 1 1) into 1 8.308 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.309 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.311 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.312 * [backup-simplify]: Simplify (- 0) into 0 8.312 * [backup-simplify]: Simplify (+ 0 0) into 0 8.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.313 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.315 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.316 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.316 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.319 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.319 * [backup-simplify]: Simplify (- 0) into 0 8.320 * [backup-simplify]: Simplify (+ 0 0) into 0 8.321 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.321 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.323 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 8.323 * [backup-simplify]: Simplify (+ 1 0) into 1 8.324 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 8.325 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.325 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.325 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.326 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.326 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.327 * [backup-simplify]: Simplify (- 0) into 0 8.327 * [backup-simplify]: Simplify (+ 0 0) into 0 8.327 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 8.328 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 8.328 * [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))) 8.328 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 8.328 * [taylor]: Taking taylor expansion of 2 in J 8.328 * [backup-simplify]: Simplify 2 into 2 8.328 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 8.328 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.328 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.328 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.328 * [taylor]: Taking taylor expansion of -1/2 in J 8.328 * [backup-simplify]: Simplify -1/2 into -1/2 8.328 * [taylor]: Taking taylor expansion of K in J 8.328 * [backup-simplify]: Simplify K into K 8.328 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.328 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.328 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.328 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.329 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.329 * [backup-simplify]: Simplify (- 0) into 0 8.329 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.329 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.329 * [taylor]: Taking taylor expansion of J in J 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 1 into 1 8.329 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.329 * [backup-simplify]: Simplify (* 1 1) into 1 8.329 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.330 * [backup-simplify]: Simplify (+ 0) into 0 8.330 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.330 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.331 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.331 * [backup-simplify]: Simplify (- 0) into 0 8.331 * [backup-simplify]: Simplify (+ 0 0) into 0 8.331 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 8.333 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 8.333 * [taylor]: Taking taylor expansion of 0 in K 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [taylor]: Taking taylor expansion of 0 in K 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [taylor]: Taking taylor expansion of 0 in K 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.335 * [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 8.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.336 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.336 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.337 * [backup-simplify]: Simplify (- 0) into 0 8.338 * [backup-simplify]: Simplify (+ 0 0) into 0 8.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.339 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 8.341 * [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 8.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.342 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.343 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.343 * [backup-simplify]: Simplify (- 0) into 0 8.344 * [backup-simplify]: Simplify (+ 0 0) into 0 8.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.344 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 8.346 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 8.346 * [backup-simplify]: Simplify (+ 0 0) into 0 8.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.347 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.347 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.348 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.349 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.349 * [backup-simplify]: Simplify (- 0) into 0 8.349 * [backup-simplify]: Simplify (+ 0 0) into 0 8.350 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 8.350 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 8.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 8.351 * [taylor]: Taking taylor expansion of 0 in J 8.351 * [backup-simplify]: Simplify 0 into 0 8.352 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.352 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.352 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.353 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.354 * [backup-simplify]: Simplify (- 0) into 0 8.354 * [backup-simplify]: Simplify (+ 0 0) into 0 8.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 8.358 * [taylor]: Taking taylor expansion of 0 in K 8.358 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify 0 into 0 8.358 * [taylor]: Taking taylor expansion of 0 in K 8.359 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 8.359 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.359 * [backup-simplify]: Simplify (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) into (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.359 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in (U J K) around 0 8.359 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in K 8.359 * [taylor]: Taking taylor expansion of -2 in K 8.359 * [backup-simplify]: Simplify -2 into -2 8.359 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 8.359 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.359 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.359 * [taylor]: Taking taylor expansion of 1/2 in K 8.359 * [backup-simplify]: Simplify 1/2 into 1/2 8.359 * [taylor]: Taking taylor expansion of K in K 8.359 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify 1 into 1 8.360 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.361 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.361 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 8.361 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.361 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 8.361 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.361 * [taylor]: Taking taylor expansion of 1 in K 8.361 * [backup-simplify]: Simplify 1 into 1 8.361 * [taylor]: Taking taylor expansion of 1 in K 8.361 * [backup-simplify]: Simplify 1 into 1 8.361 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 8.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 8.361 * [taylor]: Taking taylor expansion of 1/2 in K 8.361 * [backup-simplify]: Simplify 1/2 into 1/2 8.361 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 8.361 * [taylor]: Taking taylor expansion of U in K 8.361 * [backup-simplify]: Simplify U into U 8.361 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.361 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.361 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.361 * [taylor]: Taking taylor expansion of 1/2 in K 8.361 * [backup-simplify]: Simplify 1/2 into 1/2 8.361 * [taylor]: Taking taylor expansion of K in K 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 1 into 1 8.362 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.363 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.363 * [taylor]: Taking taylor expansion of J in K 8.363 * [backup-simplify]: Simplify J into J 8.363 * [backup-simplify]: Simplify (* 1 J) into J 8.363 * [backup-simplify]: Simplify (/ U J) into (/ U J) 8.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 8.363 * [taylor]: Taking taylor expansion of 1/2 in K 8.363 * [backup-simplify]: Simplify 1/2 into 1/2 8.363 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 8.363 * [taylor]: Taking taylor expansion of U in K 8.363 * [backup-simplify]: Simplify U into U 8.363 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.363 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.363 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.363 * [taylor]: Taking taylor expansion of 1/2 in K 8.363 * [backup-simplify]: Simplify 1/2 into 1/2 8.363 * [taylor]: Taking taylor expansion of K in K 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify 1 into 1 8.364 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.364 * [taylor]: Taking taylor expansion of J in K 8.364 * [backup-simplify]: Simplify J into J 8.364 * [backup-simplify]: Simplify (* 1 J) into J 8.365 * [backup-simplify]: Simplify (/ U J) into (/ U J) 8.365 * [backup-simplify]: Simplify (* 1 1) into 1 8.365 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 8.365 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 8.365 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.366 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.366 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.367 * [backup-simplify]: Simplify (+ 0) into 0 8.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 8.368 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 8.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 8.369 * [backup-simplify]: Simplify (+ 0) into 0 8.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 8.370 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 8.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 8.371 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 8.371 * [backup-simplify]: Simplify (+ 0 0) into 0 8.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 8.371 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in J 8.371 * [taylor]: Taking taylor expansion of -2 in J 8.371 * [backup-simplify]: Simplify -2 into -2 8.371 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 8.371 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.371 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.372 * [taylor]: Taking taylor expansion of 1/2 in J 8.372 * [backup-simplify]: Simplify 1/2 into 1/2 8.372 * [taylor]: Taking taylor expansion of K in J 8.372 * [backup-simplify]: Simplify K into K 8.372 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.372 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.372 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.372 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 8.372 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.372 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 8.372 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.372 * [taylor]: Taking taylor expansion of 1 in J 8.372 * [backup-simplify]: Simplify 1 into 1 8.372 * [taylor]: Taking taylor expansion of 1 in J 8.372 * [backup-simplify]: Simplify 1 into 1 8.372 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 8.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 8.372 * [taylor]: Taking taylor expansion of 1/2 in J 8.372 * [backup-simplify]: Simplify 1/2 into 1/2 8.372 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 8.372 * [taylor]: Taking taylor expansion of U in J 8.372 * [backup-simplify]: Simplify U into U 8.372 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.372 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.372 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.372 * [taylor]: Taking taylor expansion of 1/2 in J 8.372 * [backup-simplify]: Simplify 1/2 into 1/2 8.372 * [taylor]: Taking taylor expansion of K in J 8.372 * [backup-simplify]: Simplify K into K 8.373 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.373 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.373 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.373 * [taylor]: Taking taylor expansion of J in J 8.373 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify 1 into 1 8.373 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.373 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.373 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.374 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.374 * [backup-simplify]: Simplify (+ 0) into 0 8.375 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.376 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.377 * [backup-simplify]: Simplify (- 0) into 0 8.377 * [backup-simplify]: Simplify (+ 0 0) into 0 8.378 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.378 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 8.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 8.378 * [taylor]: Taking taylor expansion of 1/2 in J 8.378 * [backup-simplify]: Simplify 1/2 into 1/2 8.378 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 8.378 * [taylor]: Taking taylor expansion of U in J 8.378 * [backup-simplify]: Simplify U into U 8.378 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.378 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.378 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.378 * [taylor]: Taking taylor expansion of 1/2 in J 8.378 * [backup-simplify]: Simplify 1/2 into 1/2 8.378 * [taylor]: Taking taylor expansion of K in J 8.378 * [backup-simplify]: Simplify K into K 8.378 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.378 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.378 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.379 * [taylor]: Taking taylor expansion of J in J 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify 1 into 1 8.379 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.379 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.379 * [backup-simplify]: Simplify (- 0) into 0 8.379 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.379 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.380 * [backup-simplify]: Simplify (+ 0) into 0 8.380 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.381 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.382 * [backup-simplify]: Simplify (- 0) into 0 8.382 * [backup-simplify]: Simplify (+ 0 0) into 0 8.384 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.384 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 8.384 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.384 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.384 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.385 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.385 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.385 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.386 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.387 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.387 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.388 * [backup-simplify]: Simplify (- 0) into 0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.388 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.389 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 8.389 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.390 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.391 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.391 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.392 * [backup-simplify]: Simplify (- 0) into 0 8.392 * [backup-simplify]: Simplify (+ 0 0) into 0 8.392 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.392 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 8.393 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 8.393 * [backup-simplify]: Simplify (+ 0 0) into 0 8.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 8.393 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in U 8.393 * [taylor]: Taking taylor expansion of -2 in U 8.393 * [backup-simplify]: Simplify -2 into -2 8.393 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 8.393 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.393 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.393 * [taylor]: Taking taylor expansion of 1/2 in U 8.394 * [backup-simplify]: Simplify 1/2 into 1/2 8.394 * [taylor]: Taking taylor expansion of K in U 8.394 * [backup-simplify]: Simplify K into K 8.394 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.394 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.394 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.394 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.394 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 8.394 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.394 * [taylor]: Taking taylor expansion of 1 in U 8.394 * [backup-simplify]: Simplify 1 into 1 8.394 * [taylor]: Taking taylor expansion of 1 in U 8.394 * [backup-simplify]: Simplify 1 into 1 8.394 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.394 * [taylor]: Taking taylor expansion of 1/2 in U 8.394 * [backup-simplify]: Simplify 1/2 into 1/2 8.394 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.394 * [taylor]: Taking taylor expansion of U in U 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 1 into 1 8.394 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.394 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.394 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.394 * [taylor]: Taking taylor expansion of 1/2 in U 8.394 * [backup-simplify]: Simplify 1/2 into 1/2 8.394 * [taylor]: Taking taylor expansion of K in U 8.394 * [backup-simplify]: Simplify K into K 8.394 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.394 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.394 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.394 * [taylor]: Taking taylor expansion of J in U 8.394 * [backup-simplify]: Simplify J into J 8.394 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.394 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.395 * [backup-simplify]: Simplify (- 0) into 0 8.395 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.395 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.395 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.395 * [taylor]: Taking taylor expansion of 1/2 in U 8.395 * [backup-simplify]: Simplify 1/2 into 1/2 8.395 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.395 * [taylor]: Taking taylor expansion of U in U 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify 1 into 1 8.395 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.395 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.395 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.395 * [taylor]: Taking taylor expansion of 1/2 in U 8.395 * [backup-simplify]: Simplify 1/2 into 1/2 8.395 * [taylor]: Taking taylor expansion of K in U 8.395 * [backup-simplify]: Simplify K into K 8.395 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.395 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.395 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.395 * [taylor]: Taking taylor expansion of J in U 8.395 * [backup-simplify]: Simplify J into J 8.395 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.395 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.395 * [backup-simplify]: Simplify (- 0) into 0 8.396 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.396 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.396 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.396 * [backup-simplify]: Simplify (* 1 1) into 1 8.396 * [backup-simplify]: Simplify (+ 1 0) into 1 8.396 * [backup-simplify]: Simplify (sqrt 1) into 1 8.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.397 * [backup-simplify]: Simplify (+ 0 0) into 0 8.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.398 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in U 8.398 * [taylor]: Taking taylor expansion of -2 in U 8.398 * [backup-simplify]: Simplify -2 into -2 8.398 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 8.398 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.398 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.398 * [taylor]: Taking taylor expansion of 1/2 in U 8.398 * [backup-simplify]: Simplify 1/2 into 1/2 8.398 * [taylor]: Taking taylor expansion of K in U 8.398 * [backup-simplify]: Simplify K into K 8.398 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.398 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.398 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.398 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.398 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.398 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 8.398 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.398 * [taylor]: Taking taylor expansion of 1 in U 8.398 * [backup-simplify]: Simplify 1 into 1 8.398 * [taylor]: Taking taylor expansion of 1 in U 8.398 * [backup-simplify]: Simplify 1 into 1 8.398 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.398 * [taylor]: Taking taylor expansion of 1/2 in U 8.398 * [backup-simplify]: Simplify 1/2 into 1/2 8.398 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.398 * [taylor]: Taking taylor expansion of U in U 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 1 into 1 8.398 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.398 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.398 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.398 * [taylor]: Taking taylor expansion of 1/2 in U 8.398 * [backup-simplify]: Simplify 1/2 into 1/2 8.398 * [taylor]: Taking taylor expansion of K in U 8.398 * [backup-simplify]: Simplify K into K 8.398 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.398 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.398 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.398 * [taylor]: Taking taylor expansion of J in U 8.398 * [backup-simplify]: Simplify J into J 8.398 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.398 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.399 * [backup-simplify]: Simplify (- 0) into 0 8.399 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.399 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.399 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.399 * [taylor]: Taking taylor expansion of 1/2 in U 8.399 * [backup-simplify]: Simplify 1/2 into 1/2 8.399 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.399 * [taylor]: Taking taylor expansion of U in U 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.399 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.399 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.399 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.399 * [taylor]: Taking taylor expansion of 1/2 in U 8.399 * [backup-simplify]: Simplify 1/2 into 1/2 8.399 * [taylor]: Taking taylor expansion of K in U 8.399 * [backup-simplify]: Simplify K into K 8.399 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.399 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.399 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.399 * [taylor]: Taking taylor expansion of J in U 8.399 * [backup-simplify]: Simplify J into J 8.399 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.399 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.400 * [backup-simplify]: Simplify (- 0) into 0 8.400 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.400 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.400 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.400 * [backup-simplify]: Simplify (* 1 1) into 1 8.400 * [backup-simplify]: Simplify (+ 1 0) into 1 8.401 * [backup-simplify]: Simplify (sqrt 1) into 1 8.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.401 * [backup-simplify]: Simplify (+ 0 0) into 0 8.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.402 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.402 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.402 * [backup-simplify]: Simplify (- 0) into 0 8.402 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.402 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.402 * [backup-simplify]: Simplify (* -2 (cos (* 1/2 K))) into (* -2 (cos (* 1/2 K))) 8.402 * [taylor]: Taking taylor expansion of (* -2 (cos (* 1/2 K))) in J 8.402 * [taylor]: Taking taylor expansion of -2 in J 8.402 * [backup-simplify]: Simplify -2 into -2 8.402 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.402 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.402 * [taylor]: Taking taylor expansion of 1/2 in J 8.402 * [backup-simplify]: Simplify 1/2 into 1/2 8.402 * [taylor]: Taking taylor expansion of K in J 8.402 * [backup-simplify]: Simplify K into K 8.403 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.403 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.403 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.403 * [backup-simplify]: Simplify (+ 0) into 0 8.403 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.404 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.405 * [backup-simplify]: Simplify (- 0) into 0 8.405 * [backup-simplify]: Simplify (+ 0 0) into 0 8.405 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.405 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (* 1/2 K)))) into 0 8.405 * [taylor]: Taking taylor expansion of 0 in J 8.406 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.406 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.406 * [backup-simplify]: Simplify (- 0) into 0 8.406 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.406 * [backup-simplify]: Simplify (* -2 (cos (* 1/2 K))) into (* -2 (cos (* 1/2 K))) 8.406 * [taylor]: Taking taylor expansion of (* -2 (cos (* 1/2 K))) in K 8.406 * [taylor]: Taking taylor expansion of -2 in K 8.406 * [backup-simplify]: Simplify -2 into -2 8.406 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.406 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.406 * [taylor]: Taking taylor expansion of 1/2 in K 8.406 * [backup-simplify]: Simplify 1/2 into 1/2 8.406 * [taylor]: Taking taylor expansion of K in K 8.406 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify 1 into 1 8.406 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.407 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.407 * [backup-simplify]: Simplify (* -2 1) into -2 8.407 * [backup-simplify]: Simplify -2 into -2 8.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.408 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 8.408 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 8.408 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.408 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.409 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.411 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.412 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.412 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.412 * [backup-simplify]: Simplify (- 0) into 0 8.413 * [backup-simplify]: Simplify (+ 0 0) into 0 8.413 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) 8.414 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2))))) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) (pow J 2))))) 8.414 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) (pow J 2))))) in J 8.414 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) in J 8.414 * [taylor]: Taking taylor expansion of 1/4 in J 8.414 * [backup-simplify]: Simplify 1/4 into 1/4 8.414 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) (pow J 2))) in J 8.414 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in J 8.414 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.414 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.414 * [taylor]: Taking taylor expansion of 1/2 in J 8.414 * [backup-simplify]: Simplify 1/2 into 1/2 8.414 * [taylor]: Taking taylor expansion of K in J 8.414 * [backup-simplify]: Simplify K into K 8.414 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.414 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.414 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.414 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.414 * [taylor]: Taking taylor expansion of J in J 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify 1 into 1 8.414 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.414 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.414 * [backup-simplify]: Simplify (- 0) into 0 8.414 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.415 * [backup-simplify]: Simplify (* 1 1) into 1 8.415 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.415 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 8.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.416 * [backup-simplify]: Simplify (+ 0) into 0 8.416 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.417 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.418 * [backup-simplify]: Simplify (- 0) into 0 8.418 * [backup-simplify]: Simplify (+ 0 0) into 0 8.419 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.419 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 8.420 * [backup-simplify]: Simplify (- 0) into 0 8.420 * [taylor]: Taking taylor expansion of 0 in K 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [taylor]: Taking taylor expansion of 0 in K 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify (+ 0) into 0 8.421 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.423 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.423 * [backup-simplify]: Simplify (- 0) into 0 8.424 * [backup-simplify]: Simplify (+ 0 0) into 0 8.424 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (* 1/2 K)))) into 0 8.424 * [taylor]: Taking taylor expansion of 0 in K 8.424 * [backup-simplify]: Simplify 0 into 0 8.424 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify (+ 0) into 0 8.425 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1)) into 0 8.425 * [backup-simplify]: Simplify 0 into 0 8.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.427 * [backup-simplify]: Simplify (+ 0) into 0 8.427 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.429 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.430 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.430 * [backup-simplify]: Simplify (- 0) into 0 8.431 * [backup-simplify]: Simplify (+ 0 0) into 0 8.431 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.431 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 8.432 * [backup-simplify]: Simplify (+ 0) into 0 8.433 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.435 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.436 * [backup-simplify]: Simplify (- 0) into 0 8.436 * [backup-simplify]: Simplify (+ 0 0) into 0 8.436 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.437 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 8.437 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 8.438 * [backup-simplify]: Simplify (+ 0 0) into 0 8.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 8.440 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.441 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 8.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.445 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.445 * [backup-simplify]: Simplify (- 0) into 0 8.446 * [backup-simplify]: Simplify (+ 0 0) into 0 8.447 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 8.448 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2))))) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 8.448 * [taylor]: Taking taylor expansion of 0 in J 8.448 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.452 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.454 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.454 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.455 * [backup-simplify]: Simplify (- 0) into 0 8.455 * [backup-simplify]: Simplify (+ 0 0) into 0 8.456 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 8.457 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 1/2 K)))))) into 0 8.458 * [backup-simplify]: Simplify (- 0) into 0 8.458 * [taylor]: Taking taylor expansion of 0 in K 8.458 * [backup-simplify]: Simplify 0 into 0 8.458 * [backup-simplify]: Simplify 0 into 0 8.458 * [taylor]: Taking taylor expansion of 0 in K 8.458 * [backup-simplify]: Simplify 0 into 0 8.458 * [backup-simplify]: Simplify 0 into 0 8.458 * [backup-simplify]: Simplify -2 into -2 8.458 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)))) -2) (cos (/ (/ 1 K) 2))) into (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) 8.458 * [approximate]: Taking taylor expansion of (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) in (U J K) around 0 8.458 * [taylor]: Taking taylor expansion of (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) in K 8.458 * [taylor]: Taking taylor expansion of -2 in K 8.458 * [backup-simplify]: Simplify -2 into -2 8.459 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 8.459 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 8.459 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.459 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 8.459 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.459 * [taylor]: Taking taylor expansion of 1 in K 8.459 * [backup-simplify]: Simplify 1 into 1 8.459 * [taylor]: Taking taylor expansion of 1 in K 8.459 * [backup-simplify]: Simplify 1 into 1 8.459 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 8.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 8.459 * [taylor]: Taking taylor expansion of 1/2 in K 8.459 * [backup-simplify]: Simplify 1/2 into 1/2 8.459 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 8.459 * [taylor]: Taking taylor expansion of J in K 8.459 * [backup-simplify]: Simplify J into J 8.459 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 8.459 * [taylor]: Taking taylor expansion of U in K 8.459 * [backup-simplify]: Simplify U into U 8.459 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.459 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.459 * [taylor]: Taking taylor expansion of 1/2 in K 8.459 * [backup-simplify]: Simplify 1/2 into 1/2 8.459 * [taylor]: Taking taylor expansion of K in K 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify 1 into 1 8.460 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.460 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.460 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.460 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 8.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 8.460 * [taylor]: Taking taylor expansion of 1/2 in K 8.460 * [backup-simplify]: Simplify 1/2 into 1/2 8.460 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 8.460 * [taylor]: Taking taylor expansion of J in K 8.460 * [backup-simplify]: Simplify J into J 8.460 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 8.460 * [taylor]: Taking taylor expansion of U in K 8.460 * [backup-simplify]: Simplify U into U 8.460 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.460 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.460 * [taylor]: Taking taylor expansion of 1/2 in K 8.460 * [backup-simplify]: Simplify 1/2 into 1/2 8.460 * [taylor]: Taking taylor expansion of K in K 8.460 * [backup-simplify]: Simplify 0 into 0 8.460 * [backup-simplify]: Simplify 1 into 1 8.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.461 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.461 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.461 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 8.462 * [backup-simplify]: Simplify (* 1 1) into 1 8.462 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 8.462 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 8.462 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 8.463 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 8.463 * [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)) 8.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.464 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 8.464 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 8.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 8.465 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 8.465 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 8.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 8.466 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 8.467 * [backup-simplify]: Simplify (+ 0 0) into 0 8.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 8.467 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.467 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.467 * [taylor]: Taking taylor expansion of 1/2 in K 8.467 * [backup-simplify]: Simplify 1/2 into 1/2 8.467 * [taylor]: Taking taylor expansion of K in K 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify 1 into 1 8.468 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.468 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.468 * [taylor]: Taking taylor expansion of (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) in J 8.468 * [taylor]: Taking taylor expansion of -2 in J 8.468 * [backup-simplify]: Simplify -2 into -2 8.468 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 8.468 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 8.468 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.468 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 8.468 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.468 * [taylor]: Taking taylor expansion of 1 in J 8.468 * [backup-simplify]: Simplify 1 into 1 8.468 * [taylor]: Taking taylor expansion of 1 in J 8.468 * [backup-simplify]: Simplify 1 into 1 8.468 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 8.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 8.468 * [taylor]: Taking taylor expansion of 1/2 in J 8.468 * [backup-simplify]: Simplify 1/2 into 1/2 8.468 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 8.469 * [taylor]: Taking taylor expansion of J in J 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.469 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 8.469 * [taylor]: Taking taylor expansion of U in J 8.469 * [backup-simplify]: Simplify U into U 8.469 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.469 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.469 * [taylor]: Taking taylor expansion of 1/2 in J 8.469 * [backup-simplify]: Simplify 1/2 into 1/2 8.469 * [taylor]: Taking taylor expansion of K in J 8.469 * [backup-simplify]: Simplify K into K 8.469 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.469 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.469 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.469 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.469 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.470 * [backup-simplify]: Simplify (- 0) into 0 8.470 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.470 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.470 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 8.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 8.470 * [taylor]: Taking taylor expansion of 1/2 in J 8.470 * [backup-simplify]: Simplify 1/2 into 1/2 8.470 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 8.470 * [taylor]: Taking taylor expansion of J in J 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 1 into 1 8.470 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 8.470 * [taylor]: Taking taylor expansion of U in J 8.470 * [backup-simplify]: Simplify U into U 8.470 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.470 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.470 * [taylor]: Taking taylor expansion of 1/2 in J 8.470 * [backup-simplify]: Simplify 1/2 into 1/2 8.470 * [taylor]: Taking taylor expansion of K in J 8.470 * [backup-simplify]: Simplify K into K 8.470 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.470 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.471 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.471 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.471 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.471 * [backup-simplify]: Simplify (- 0) into 0 8.471 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.471 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.471 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 8.472 * [backup-simplify]: Simplify (* 1 1) into 1 8.472 * [backup-simplify]: Simplify (+ 1 0) into 1 8.473 * [backup-simplify]: Simplify (sqrt 1) into 1 8.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.474 * [backup-simplify]: Simplify (+ 0 0) into 0 8.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.475 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.475 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.475 * [taylor]: Taking taylor expansion of 1/2 in J 8.475 * [backup-simplify]: Simplify 1/2 into 1/2 8.475 * [taylor]: Taking taylor expansion of K in J 8.475 * [backup-simplify]: Simplify K into K 8.475 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.475 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.475 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.475 * [taylor]: Taking taylor expansion of (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) in U 8.475 * [taylor]: Taking taylor expansion of -2 in U 8.475 * [backup-simplify]: Simplify -2 into -2 8.475 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 8.475 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.475 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.475 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 8.475 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.475 * [taylor]: Taking taylor expansion of 1 in U 8.475 * [backup-simplify]: Simplify 1 into 1 8.475 * [taylor]: Taking taylor expansion of 1 in U 8.475 * [backup-simplify]: Simplify 1 into 1 8.475 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.475 * [taylor]: Taking taylor expansion of 1/2 in U 8.475 * [backup-simplify]: Simplify 1/2 into 1/2 8.475 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.475 * [taylor]: Taking taylor expansion of J in U 8.476 * [backup-simplify]: Simplify J into J 8.476 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.476 * [taylor]: Taking taylor expansion of U in U 8.476 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify 1 into 1 8.476 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.476 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.476 * [taylor]: Taking taylor expansion of 1/2 in U 8.476 * [backup-simplify]: Simplify 1/2 into 1/2 8.476 * [taylor]: Taking taylor expansion of K in U 8.476 * [backup-simplify]: Simplify K into K 8.476 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.476 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.476 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.476 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.476 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.477 * [backup-simplify]: Simplify (- 0) into 0 8.477 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.477 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.477 * [backup-simplify]: Simplify (+ 0) into 0 8.478 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.478 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.479 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.480 * [backup-simplify]: Simplify (- 0) into 0 8.480 * [backup-simplify]: Simplify (+ 0 0) into 0 8.481 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.481 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.481 * [taylor]: Taking taylor expansion of 1/2 in U 8.481 * [backup-simplify]: Simplify 1/2 into 1/2 8.481 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.481 * [taylor]: Taking taylor expansion of J in U 8.481 * [backup-simplify]: Simplify J into J 8.481 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.481 * [taylor]: Taking taylor expansion of U in U 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.481 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.481 * [taylor]: Taking taylor expansion of 1/2 in U 8.481 * [backup-simplify]: Simplify 1/2 into 1/2 8.481 * [taylor]: Taking taylor expansion of K in U 8.481 * [backup-simplify]: Simplify K into K 8.481 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.481 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.482 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.482 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.482 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.482 * [backup-simplify]: Simplify (- 0) into 0 8.482 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.482 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.483 * [backup-simplify]: Simplify (+ 0) into 0 8.483 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.484 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.485 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.485 * [backup-simplify]: Simplify (- 0) into 0 8.486 * [backup-simplify]: Simplify (+ 0 0) into 0 8.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.486 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.486 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.487 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.487 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.487 * [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))) 8.487 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.489 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.490 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.490 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.491 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.491 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.492 * [backup-simplify]: Simplify (- 0) into 0 8.492 * [backup-simplify]: Simplify (+ 0 0) into 0 8.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.493 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.496 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.496 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.497 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.498 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.498 * [backup-simplify]: Simplify (- 0) into 0 8.499 * [backup-simplify]: Simplify (+ 0 0) into 0 8.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.500 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.501 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.501 * [backup-simplify]: Simplify (+ 0 0) into 0 8.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.502 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.502 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.502 * [taylor]: Taking taylor expansion of 1/2 in U 8.502 * [backup-simplify]: Simplify 1/2 into 1/2 8.502 * [taylor]: Taking taylor expansion of K in U 8.502 * [backup-simplify]: Simplify K into K 8.502 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.502 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.502 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.502 * [taylor]: Taking taylor expansion of (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) in U 8.502 * [taylor]: Taking taylor expansion of -2 in U 8.502 * [backup-simplify]: Simplify -2 into -2 8.502 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 8.502 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.502 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.502 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 8.502 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.502 * [taylor]: Taking taylor expansion of 1 in U 8.502 * [backup-simplify]: Simplify 1 into 1 8.503 * [taylor]: Taking taylor expansion of 1 in U 8.503 * [backup-simplify]: Simplify 1 into 1 8.503 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.503 * [taylor]: Taking taylor expansion of 1/2 in U 8.503 * [backup-simplify]: Simplify 1/2 into 1/2 8.503 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.503 * [taylor]: Taking taylor expansion of J in U 8.503 * [backup-simplify]: Simplify J into J 8.503 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.503 * [taylor]: Taking taylor expansion of U in U 8.503 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify 1 into 1 8.503 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.503 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.503 * [taylor]: Taking taylor expansion of 1/2 in U 8.503 * [backup-simplify]: Simplify 1/2 into 1/2 8.503 * [taylor]: Taking taylor expansion of K in U 8.503 * [backup-simplify]: Simplify K into K 8.503 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.503 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.504 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.504 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.504 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.504 * [backup-simplify]: Simplify (- 0) into 0 8.505 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.505 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.505 * [backup-simplify]: Simplify (+ 0) into 0 8.506 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.507 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.508 * [backup-simplify]: Simplify (- 0) into 0 8.508 * [backup-simplify]: Simplify (+ 0 0) into 0 8.509 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.509 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.509 * [taylor]: Taking taylor expansion of 1/2 in U 8.509 * [backup-simplify]: Simplify 1/2 into 1/2 8.509 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.509 * [taylor]: Taking taylor expansion of J in U 8.509 * [backup-simplify]: Simplify J into J 8.509 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.509 * [taylor]: Taking taylor expansion of U in U 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.509 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.509 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.509 * [taylor]: Taking taylor expansion of 1/2 in U 8.509 * [backup-simplify]: Simplify 1/2 into 1/2 8.509 * [taylor]: Taking taylor expansion of K in U 8.509 * [backup-simplify]: Simplify K into K 8.509 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.509 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.509 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.509 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.510 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.510 * [backup-simplify]: Simplify (- 0) into 0 8.510 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.510 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.511 * [backup-simplify]: Simplify (+ 0) into 0 8.511 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.511 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.512 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.513 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.513 * [backup-simplify]: Simplify (- 0) into 0 8.514 * [backup-simplify]: Simplify (+ 0 0) into 0 8.514 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.514 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.514 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.515 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.515 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.515 * [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))) 8.515 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.516 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.517 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.518 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.518 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.518 * [backup-simplify]: Simplify (- 0) into 0 8.519 * [backup-simplify]: Simplify (+ 0 0) into 0 8.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.519 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.522 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.523 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.523 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.523 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.524 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.524 * [backup-simplify]: Simplify (- 0) into 0 8.524 * [backup-simplify]: Simplify (+ 0 0) into 0 8.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.525 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.525 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.526 * [backup-simplify]: Simplify (+ 0 0) into 0 8.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.526 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.526 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.526 * [taylor]: Taking taylor expansion of 1/2 in U 8.526 * [backup-simplify]: Simplify 1/2 into 1/2 8.526 * [taylor]: Taking taylor expansion of K in U 8.526 * [backup-simplify]: Simplify K into K 8.526 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.526 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.526 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.526 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.526 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.527 * [backup-simplify]: Simplify (- 0) into 0 8.527 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.527 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 8.527 * [backup-simplify]: Simplify (* -2 (* 1/2 J)) into (* -1 J) 8.527 * [taylor]: Taking taylor expansion of (* -1 J) in J 8.527 * [taylor]: Taking taylor expansion of -1 in J 8.527 * [backup-simplify]: Simplify -1 into -1 8.527 * [taylor]: Taking taylor expansion of J in J 8.527 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify 1 into 1 8.527 * [backup-simplify]: Simplify (* -1 0) into 0 8.527 * [taylor]: Taking taylor expansion of 0 in K 8.527 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify (+ 0) into 0 8.528 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.528 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.529 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.529 * [backup-simplify]: Simplify (- 0) into 0 8.529 * [backup-simplify]: Simplify (+ 0 0) into 0 8.529 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.530 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* 1/2 J))) into 0 8.530 * [taylor]: Taking taylor expansion of 0 in J 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [taylor]: Taking taylor expansion of 0 in K 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 8.530 * [taylor]: Taking taylor expansion of -1 in K 8.530 * [backup-simplify]: Simplify -1 into -1 8.530 * [backup-simplify]: Simplify -1 into -1 8.530 * [backup-simplify]: Simplify 0 into 0 8.531 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.532 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.532 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.532 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.533 * [backup-simplify]: Simplify (- 0) into 0 8.533 * [backup-simplify]: Simplify (+ 0 0) into 0 8.533 * [backup-simplify]: Simplify (* 1 1) into 1 8.534 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.534 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.534 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.536 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.536 * [backup-simplify]: Simplify (- 0) into 0 8.536 * [backup-simplify]: Simplify (+ 0 0) into 0 8.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.537 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.538 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.539 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.539 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.540 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.541 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.541 * [backup-simplify]: Simplify (- 0) into 0 8.541 * [backup-simplify]: Simplify (+ 0 0) into 0 8.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.542 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.543 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 8.543 * [backup-simplify]: Simplify (+ 1 0) into 1 8.544 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 8.544 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 8.545 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) J)) (+ (* 0 0) (* 0 (* 1/2 J)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) J))) 8.545 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) J))) in J 8.545 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) J)) in J 8.545 * [taylor]: Taking taylor expansion of 2 in J 8.545 * [backup-simplify]: Simplify 2 into 2 8.545 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) J) in J 8.545 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.545 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.545 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.545 * [taylor]: Taking taylor expansion of 1/2 in J 8.545 * [backup-simplify]: Simplify 1/2 into 1/2 8.545 * [taylor]: Taking taylor expansion of K in J 8.545 * [backup-simplify]: Simplify K into K 8.546 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.546 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.546 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.546 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.546 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.546 * [backup-simplify]: Simplify (- 0) into 0 8.546 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.546 * [taylor]: Taking taylor expansion of J in J 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify 1 into 1 8.547 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.547 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 8.547 * [backup-simplify]: Simplify (+ 0) into 0 8.548 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.548 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.549 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.550 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.550 * [backup-simplify]: Simplify (- 0) into 0 8.550 * [backup-simplify]: Simplify (+ 0 0) into 0 8.551 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 8.552 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.553 * [backup-simplify]: Simplify (- 0) into 0 8.553 * [taylor]: Taking taylor expansion of 0 in K 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [taylor]: Taking taylor expansion of 0 in K 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 8.554 * [taylor]: Taking taylor expansion of 0 in K 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify (* -1 (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* -1 (/ U J)) 8.555 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)))) -2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.555 * [approximate]: Taking taylor expansion of (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in (U J K) around 0 8.555 * [taylor]: Taking taylor expansion of (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in K 8.555 * [taylor]: Taking taylor expansion of -2 in K 8.555 * [backup-simplify]: Simplify -2 into -2 8.555 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 8.555 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.555 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.555 * [taylor]: Taking taylor expansion of -1/2 in K 8.555 * [backup-simplify]: Simplify -1/2 into -1/2 8.555 * [taylor]: Taking taylor expansion of K in K 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.556 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.556 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.556 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 8.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.556 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 8.556 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.556 * [taylor]: Taking taylor expansion of 1 in K 8.556 * [backup-simplify]: Simplify 1 into 1 8.556 * [taylor]: Taking taylor expansion of 1 in K 8.556 * [backup-simplify]: Simplify 1 into 1 8.556 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 8.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.556 * [taylor]: Taking taylor expansion of 1/2 in K 8.556 * [backup-simplify]: Simplify 1/2 into 1/2 8.556 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.556 * [taylor]: Taking taylor expansion of J in K 8.556 * [backup-simplify]: Simplify J into J 8.557 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.557 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.557 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.557 * [taylor]: Taking taylor expansion of -1/2 in K 8.557 * [backup-simplify]: Simplify -1/2 into -1/2 8.557 * [taylor]: Taking taylor expansion of K in K 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 1 into 1 8.557 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.557 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.557 * [taylor]: Taking taylor expansion of U in K 8.557 * [backup-simplify]: Simplify U into U 8.557 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.558 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.558 * [taylor]: Taking taylor expansion of 1/2 in K 8.558 * [backup-simplify]: Simplify 1/2 into 1/2 8.558 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.558 * [taylor]: Taking taylor expansion of J in K 8.558 * [backup-simplify]: Simplify J into J 8.558 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.558 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.558 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.558 * [taylor]: Taking taylor expansion of -1/2 in K 8.558 * [backup-simplify]: Simplify -1/2 into -1/2 8.558 * [taylor]: Taking taylor expansion of K in K 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify 1 into 1 8.558 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.559 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.559 * [taylor]: Taking taylor expansion of U in K 8.559 * [backup-simplify]: Simplify U into U 8.559 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.559 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.559 * [backup-simplify]: Simplify (* 1 1) into 1 8.559 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.560 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.560 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.560 * [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))))) 8.561 * [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)))))) 8.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 8.562 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 8.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 8.563 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 8.563 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 8.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 8.564 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 8.565 * [backup-simplify]: Simplify (+ 0 0) into 0 8.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 8.565 * [taylor]: Taking taylor expansion of (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in J 8.565 * [taylor]: Taking taylor expansion of -2 in J 8.565 * [backup-simplify]: Simplify -2 into -2 8.565 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 8.565 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.565 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.565 * [taylor]: Taking taylor expansion of -1/2 in J 8.565 * [backup-simplify]: Simplify -1/2 into -1/2 8.565 * [taylor]: Taking taylor expansion of K in J 8.565 * [backup-simplify]: Simplify K into K 8.565 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.565 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.565 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.565 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 8.566 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.566 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 8.566 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.566 * [taylor]: Taking taylor expansion of 1 in J 8.566 * [backup-simplify]: Simplify 1 into 1 8.566 * [taylor]: Taking taylor expansion of 1 in J 8.566 * [backup-simplify]: Simplify 1 into 1 8.566 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 8.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.566 * [taylor]: Taking taylor expansion of 1/2 in J 8.566 * [backup-simplify]: Simplify 1/2 into 1/2 8.566 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.566 * [taylor]: Taking taylor expansion of J in J 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 1 into 1 8.566 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.566 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.566 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.566 * [taylor]: Taking taylor expansion of -1/2 in J 8.566 * [backup-simplify]: Simplify -1/2 into -1/2 8.566 * [taylor]: Taking taylor expansion of K in J 8.566 * [backup-simplify]: Simplify K into K 8.566 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.566 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.566 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.566 * [taylor]: Taking taylor expansion of U in J 8.566 * [backup-simplify]: Simplify U into U 8.566 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.567 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.567 * [backup-simplify]: Simplify (- 0) into 0 8.567 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.567 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.567 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.567 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.567 * [taylor]: Taking taylor expansion of 1/2 in J 8.567 * [backup-simplify]: Simplify 1/2 into 1/2 8.567 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.568 * [taylor]: Taking taylor expansion of J in J 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 1 into 1 8.568 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.568 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.568 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.568 * [taylor]: Taking taylor expansion of -1/2 in J 8.568 * [backup-simplify]: Simplify -1/2 into -1/2 8.568 * [taylor]: Taking taylor expansion of K in J 8.568 * [backup-simplify]: Simplify K into K 8.568 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.568 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.568 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.568 * [taylor]: Taking taylor expansion of U in J 8.568 * [backup-simplify]: Simplify U into U 8.568 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.568 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.569 * [backup-simplify]: Simplify (- 0) into 0 8.569 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.569 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.569 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.569 * [backup-simplify]: Simplify (* 1 1) into 1 8.570 * [backup-simplify]: Simplify (+ 1 0) into 1 8.570 * [backup-simplify]: Simplify (sqrt 1) into 1 8.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.571 * [backup-simplify]: Simplify (+ 0 0) into 0 8.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.572 * [taylor]: Taking taylor expansion of (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in U 8.572 * [taylor]: Taking taylor expansion of -2 in U 8.572 * [backup-simplify]: Simplify -2 into -2 8.572 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.572 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.572 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.572 * [taylor]: Taking taylor expansion of -1/2 in U 8.572 * [backup-simplify]: Simplify -1/2 into -1/2 8.572 * [taylor]: Taking taylor expansion of K in U 8.572 * [backup-simplify]: Simplify K into K 8.572 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.573 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.573 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.573 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.573 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.573 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.573 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.573 * [taylor]: Taking taylor expansion of 1 in U 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [taylor]: Taking taylor expansion of 1 in U 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.573 * [taylor]: Taking taylor expansion of 1/2 in U 8.573 * [backup-simplify]: Simplify 1/2 into 1/2 8.573 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.573 * [taylor]: Taking taylor expansion of J in U 8.573 * [backup-simplify]: Simplify J into J 8.573 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.573 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.573 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.573 * [taylor]: Taking taylor expansion of -1/2 in U 8.573 * [backup-simplify]: Simplify -1/2 into -1/2 8.573 * [taylor]: Taking taylor expansion of K in U 8.573 * [backup-simplify]: Simplify K into K 8.573 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.573 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.573 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.573 * [taylor]: Taking taylor expansion of U in U 8.573 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.574 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.574 * [backup-simplify]: Simplify (- 0) into 0 8.574 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.574 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.575 * [backup-simplify]: Simplify (+ 0) into 0 8.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.575 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.577 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.577 * [backup-simplify]: Simplify (- 0) into 0 8.577 * [backup-simplify]: Simplify (+ 0 0) into 0 8.578 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.578 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.578 * [taylor]: Taking taylor expansion of 1/2 in U 8.578 * [backup-simplify]: Simplify 1/2 into 1/2 8.578 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.578 * [taylor]: Taking taylor expansion of J in U 8.578 * [backup-simplify]: Simplify J into J 8.578 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.578 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.578 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.578 * [taylor]: Taking taylor expansion of -1/2 in U 8.578 * [backup-simplify]: Simplify -1/2 into -1/2 8.578 * [taylor]: Taking taylor expansion of K in U 8.578 * [backup-simplify]: Simplify K into K 8.578 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.579 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.579 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.579 * [taylor]: Taking taylor expansion of U in U 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.579 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.579 * [backup-simplify]: Simplify (- 0) into 0 8.579 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.580 * [backup-simplify]: Simplify (+ 0) into 0 8.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.581 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.582 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.582 * [backup-simplify]: Simplify (- 0) into 0 8.583 * [backup-simplify]: Simplify (+ 0 0) into 0 8.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.584 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.584 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.584 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.584 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.584 * [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))) 8.585 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.586 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.587 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.589 * [backup-simplify]: Simplify (- 0) into 0 8.589 * [backup-simplify]: Simplify (+ 0 0) into 0 8.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.590 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.593 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.594 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.594 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.595 * [backup-simplify]: Simplify (- 0) into 0 8.595 * [backup-simplify]: Simplify (+ 0 0) into 0 8.596 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.596 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.597 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.598 * [backup-simplify]: Simplify (+ 0 0) into 0 8.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.598 * [taylor]: Taking taylor expansion of (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in U 8.598 * [taylor]: Taking taylor expansion of -2 in U 8.598 * [backup-simplify]: Simplify -2 into -2 8.598 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.598 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.598 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.598 * [taylor]: Taking taylor expansion of -1/2 in U 8.598 * [backup-simplify]: Simplify -1/2 into -1/2 8.598 * [taylor]: Taking taylor expansion of K in U 8.598 * [backup-simplify]: Simplify K into K 8.598 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.599 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.599 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.599 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.599 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.599 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.599 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.599 * [taylor]: Taking taylor expansion of 1 in U 8.599 * [backup-simplify]: Simplify 1 into 1 8.599 * [taylor]: Taking taylor expansion of 1 in U 8.599 * [backup-simplify]: Simplify 1 into 1 8.599 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.599 * [taylor]: Taking taylor expansion of 1/2 in U 8.599 * [backup-simplify]: Simplify 1/2 into 1/2 8.599 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.599 * [taylor]: Taking taylor expansion of J in U 8.599 * [backup-simplify]: Simplify J into J 8.599 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.599 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.599 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.599 * [taylor]: Taking taylor expansion of -1/2 in U 8.599 * [backup-simplify]: Simplify -1/2 into -1/2 8.599 * [taylor]: Taking taylor expansion of K in U 8.599 * [backup-simplify]: Simplify K into K 8.599 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.599 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.599 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.599 * [taylor]: Taking taylor expansion of U in U 8.599 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 1 into 1 8.600 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.600 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.600 * [backup-simplify]: Simplify (- 0) into 0 8.600 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.601 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.601 * [backup-simplify]: Simplify (+ 0) into 0 8.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.602 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.603 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.604 * [backup-simplify]: Simplify (- 0) into 0 8.604 * [backup-simplify]: Simplify (+ 0 0) into 0 8.605 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.605 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.605 * [taylor]: Taking taylor expansion of 1/2 in U 8.605 * [backup-simplify]: Simplify 1/2 into 1/2 8.605 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.605 * [taylor]: Taking taylor expansion of J in U 8.605 * [backup-simplify]: Simplify J into J 8.605 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.605 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.605 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.605 * [taylor]: Taking taylor expansion of -1/2 in U 8.605 * [backup-simplify]: Simplify -1/2 into -1/2 8.605 * [taylor]: Taking taylor expansion of K in U 8.605 * [backup-simplify]: Simplify K into K 8.605 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.605 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.605 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.605 * [taylor]: Taking taylor expansion of U in U 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 1 into 1 8.605 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.605 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.605 * [backup-simplify]: Simplify (- 0) into 0 8.605 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.606 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.606 * [backup-simplify]: Simplify (+ 0) into 0 8.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.606 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.607 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.608 * [backup-simplify]: Simplify (- 0) into 0 8.608 * [backup-simplify]: Simplify (+ 0 0) into 0 8.608 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.609 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.609 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.609 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.609 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.609 * [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))) 8.609 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.611 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.611 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.611 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.612 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.612 * [backup-simplify]: Simplify (- 0) into 0 8.612 * [backup-simplify]: Simplify (+ 0 0) into 0 8.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.613 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.614 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.616 * [backup-simplify]: Simplify (- 0) into 0 8.616 * [backup-simplify]: Simplify (+ 0 0) into 0 8.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.617 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.618 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.618 * [backup-simplify]: Simplify (+ 0 0) into 0 8.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.618 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.618 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.618 * [backup-simplify]: Simplify (- 0) into 0 8.618 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.619 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 8.619 * [backup-simplify]: Simplify (* -2 (* 1/2 J)) into (* -1 J) 8.619 * [taylor]: Taking taylor expansion of (* -1 J) in J 8.619 * [taylor]: Taking taylor expansion of -1 in J 8.619 * [backup-simplify]: Simplify -1 into -1 8.619 * [taylor]: Taking taylor expansion of J in J 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [backup-simplify]: Simplify (* -1 0) into 0 8.619 * [taylor]: Taking taylor expansion of 0 in K 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify (+ 0) into 0 8.620 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.620 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.620 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.621 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.621 * [backup-simplify]: Simplify (- 0) into 0 8.621 * [backup-simplify]: Simplify (+ 0 0) into 0 8.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.622 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* 1/2 J))) into 0 8.622 * [taylor]: Taking taylor expansion of 0 in J 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [taylor]: Taking taylor expansion of 0 in K 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 8.622 * [taylor]: Taking taylor expansion of -1 in K 8.622 * [backup-simplify]: Simplify -1 into -1 8.622 * [backup-simplify]: Simplify -1 into -1 8.622 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify (* 1 1) into 1 8.623 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.624 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.624 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.625 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.625 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.626 * [backup-simplify]: Simplify (- 0) into 0 8.626 * [backup-simplify]: Simplify (+ 0 0) into 0 8.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.626 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.628 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.628 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.628 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.630 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.631 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.631 * [backup-simplify]: Simplify (- 0) into 0 8.631 * [backup-simplify]: Simplify (+ 0 0) into 0 8.632 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.633 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.634 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 8.635 * [backup-simplify]: Simplify (+ 1 0) into 1 8.636 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 8.637 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.638 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.639 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.639 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.640 * [backup-simplify]: Simplify (- 0) into 0 8.640 * [backup-simplify]: Simplify (+ 0 0) into 0 8.641 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 8.642 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ -1/2 K)) 2) J)) (+ (* 0 0) (* 0 (* 1/2 J)))) into (- (* 2 (/ (pow (cos (/ -1/2 K)) 2) J))) 8.642 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ -1/2 K)) 2) J))) in J 8.642 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) J)) in J 8.642 * [taylor]: Taking taylor expansion of 2 in J 8.642 * [backup-simplify]: Simplify 2 into 2 8.642 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) J) in J 8.642 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.642 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.642 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.642 * [taylor]: Taking taylor expansion of -1/2 in J 8.642 * [backup-simplify]: Simplify -1/2 into -1/2 8.642 * [taylor]: Taking taylor expansion of K in J 8.642 * [backup-simplify]: Simplify K into K 8.642 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.642 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.642 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.642 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.642 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.643 * [backup-simplify]: Simplify (- 0) into 0 8.643 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.643 * [taylor]: Taking taylor expansion of J in J 8.643 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify 1 into 1 8.643 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.643 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.644 * [backup-simplify]: Simplify (+ 0) into 0 8.644 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.645 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.647 * [backup-simplify]: Simplify (- 0) into 0 8.647 * [backup-simplify]: Simplify (+ 0 0) into 0 8.647 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 8.651 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 8.652 * [backup-simplify]: Simplify (- 0) into 0 8.652 * [taylor]: Taking taylor expansion of 0 in K 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [taylor]: Taking taylor expansion of 0 in K 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify 0 into 0 8.653 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 8.653 * [taylor]: Taking taylor expansion of 0 in K 8.653 * [backup-simplify]: Simplify 0 into 0 8.653 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify (* -1 (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* -1 (/ U J)) 8.654 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 2) 8.654 * [backup-simplify]: Simplify (* J (* (cos (/ K 2)) 2)) into (* 2 (* (cos (* 1/2 K)) J)) 8.654 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 8.654 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 8.654 * [taylor]: Taking taylor expansion of 2 in K 8.654 * [backup-simplify]: Simplify 2 into 2 8.654 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.654 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.654 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.654 * [taylor]: Taking taylor expansion of 1/2 in K 8.654 * [backup-simplify]: Simplify 1/2 into 1/2 8.654 * [taylor]: Taking taylor expansion of K in K 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 1 into 1 8.655 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.656 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.656 * [taylor]: Taking taylor expansion of J in K 8.656 * [backup-simplify]: Simplify J into J 8.656 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 8.656 * [taylor]: Taking taylor expansion of 2 in J 8.656 * [backup-simplify]: Simplify 2 into 2 8.656 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.656 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.656 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.656 * [taylor]: Taking taylor expansion of 1/2 in J 8.656 * [backup-simplify]: Simplify 1/2 into 1/2 8.656 * [taylor]: Taking taylor expansion of K in J 8.656 * [backup-simplify]: Simplify K into K 8.656 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.656 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.656 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.656 * [taylor]: Taking taylor expansion of J in J 8.656 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify 1 into 1 8.656 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 8.656 * [taylor]: Taking taylor expansion of 2 in J 8.656 * [backup-simplify]: Simplify 2 into 2 8.656 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.656 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.656 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.656 * [taylor]: Taking taylor expansion of 1/2 in J 8.656 * [backup-simplify]: Simplify 1/2 into 1/2 8.656 * [taylor]: Taking taylor expansion of K in J 8.656 * [backup-simplify]: Simplify K into K 8.657 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.657 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.657 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.657 * [taylor]: Taking taylor expansion of J in J 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 1 into 1 8.657 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.657 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.657 * [backup-simplify]: Simplify (- 0) into 0 8.658 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.658 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.658 * [backup-simplify]: Simplify (* 2 0) into 0 8.658 * [taylor]: Taking taylor expansion of 0 in K 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify (+ 0) into 0 8.659 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.662 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.662 * [backup-simplify]: Simplify (- 0) into 0 8.662 * [backup-simplify]: Simplify (+ 0 0) into 0 8.663 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.663 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 8.663 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 8.663 * [taylor]: Taking taylor expansion of 2 in K 8.663 * [backup-simplify]: Simplify 2 into 2 8.664 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.664 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.664 * [taylor]: Taking taylor expansion of 1/2 in K 8.664 * [backup-simplify]: Simplify 1/2 into 1/2 8.664 * [taylor]: Taking taylor expansion of K in K 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify 1 into 1 8.664 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.665 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.665 * [backup-simplify]: Simplify (* 2 1) into 2 8.665 * [backup-simplify]: Simplify 2 into 2 8.665 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.667 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.669 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.669 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.670 * [backup-simplify]: Simplify (- 0) into 0 8.670 * [backup-simplify]: Simplify (+ 0 0) into 0 8.671 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 8.672 * [taylor]: Taking taylor expansion of 0 in K 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify (+ 0) into 0 8.673 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.675 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 8.678 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.679 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.679 * [backup-simplify]: Simplify (- 0) into 0 8.680 * [backup-simplify]: Simplify (+ 0 0) into 0 8.680 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.682 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 8.682 * [taylor]: Taking taylor expansion of 0 in K 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 8.682 * [backup-simplify]: Simplify (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)) into (* 2 (/ (cos (/ 1/2 K)) J)) 8.682 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 8.682 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 8.682 * [taylor]: Taking taylor expansion of 2 in K 8.682 * [backup-simplify]: Simplify 2 into 2 8.682 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 8.682 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.682 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.682 * [taylor]: Taking taylor expansion of 1/2 in K 8.682 * [backup-simplify]: Simplify 1/2 into 1/2 8.682 * [taylor]: Taking taylor expansion of K in K 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.683 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.683 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.683 * [taylor]: Taking taylor expansion of J in K 8.683 * [backup-simplify]: Simplify J into J 8.683 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 8.683 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 8.683 * [taylor]: Taking taylor expansion of 2 in J 8.683 * [backup-simplify]: Simplify 2 into 2 8.683 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 8.683 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.683 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.683 * [taylor]: Taking taylor expansion of 1/2 in J 8.683 * [backup-simplify]: Simplify 1/2 into 1/2 8.683 * [taylor]: Taking taylor expansion of K in J 8.683 * [backup-simplify]: Simplify K into K 8.683 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.684 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.684 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.684 * [taylor]: Taking taylor expansion of J in J 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify 1 into 1 8.684 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.684 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.684 * [backup-simplify]: Simplify (- 0) into 0 8.684 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.684 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.685 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 8.685 * [taylor]: Taking taylor expansion of 2 in J 8.685 * [backup-simplify]: Simplify 2 into 2 8.685 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 8.685 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.685 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.685 * [taylor]: Taking taylor expansion of 1/2 in J 8.685 * [backup-simplify]: Simplify 1/2 into 1/2 8.685 * [taylor]: Taking taylor expansion of K in J 8.685 * [backup-simplify]: Simplify K into K 8.685 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.685 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.685 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.685 * [taylor]: Taking taylor expansion of J in J 8.685 * [backup-simplify]: Simplify 0 into 0 8.685 * [backup-simplify]: Simplify 1 into 1 8.685 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.685 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.686 * [backup-simplify]: Simplify (- 0) into 0 8.686 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.686 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.686 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 8.686 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 8.686 * [taylor]: Taking taylor expansion of 2 in K 8.686 * [backup-simplify]: Simplify 2 into 2 8.686 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.686 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.686 * [taylor]: Taking taylor expansion of 1/2 in K 8.686 * [backup-simplify]: Simplify 1/2 into 1/2 8.686 * [taylor]: Taking taylor expansion of K in K 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.687 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.687 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.687 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 8.687 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 8.687 * [backup-simplify]: Simplify (+ 0) into 0 8.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.688 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.689 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.690 * [backup-simplify]: Simplify (- 0) into 0 8.690 * [backup-simplify]: Simplify (+ 0 0) into 0 8.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 8.691 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 8.692 * [taylor]: Taking taylor expansion of 0 in K 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 8.692 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.694 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.694 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.695 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.696 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.696 * [backup-simplify]: Simplify (- 0) into 0 8.697 * [backup-simplify]: Simplify (+ 0 0) into 0 8.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.699 * [taylor]: Taking taylor expansion of 0 in K 8.699 * [backup-simplify]: Simplify 0 into 0 8.699 * [backup-simplify]: Simplify 0 into 0 8.699 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.700 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.702 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.702 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.704 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.705 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.705 * [backup-simplify]: Simplify (- 0) into 0 8.706 * [backup-simplify]: Simplify (+ 0 0) into 0 8.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.710 * [taylor]: Taking taylor expansion of 0 in K 8.710 * [backup-simplify]: Simplify 0 into 0 8.710 * [backup-simplify]: Simplify 0 into 0 8.710 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 8.711 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)) into (* -2 (/ (cos (/ -1/2 K)) J)) 8.711 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 8.711 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 8.711 * [taylor]: Taking taylor expansion of -2 in K 8.711 * [backup-simplify]: Simplify -2 into -2 8.711 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 8.711 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.711 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.711 * [taylor]: Taking taylor expansion of -1/2 in K 8.711 * [backup-simplify]: Simplify -1/2 into -1/2 8.711 * [taylor]: Taking taylor expansion of K in K 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify 1 into 1 8.711 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.712 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.712 * [taylor]: Taking taylor expansion of J in K 8.712 * [backup-simplify]: Simplify J into J 8.712 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 8.712 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 8.712 * [taylor]: Taking taylor expansion of -2 in J 8.712 * [backup-simplify]: Simplify -2 into -2 8.712 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.712 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.712 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.712 * [taylor]: Taking taylor expansion of -1/2 in J 8.712 * [backup-simplify]: Simplify -1/2 into -1/2 8.712 * [taylor]: Taking taylor expansion of K in J 8.712 * [backup-simplify]: Simplify K into K 8.712 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.712 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.712 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.712 * [taylor]: Taking taylor expansion of J in J 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify 1 into 1 8.712 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.713 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.713 * [backup-simplify]: Simplify (- 0) into 0 8.713 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.713 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.713 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 8.713 * [taylor]: Taking taylor expansion of -2 in J 8.713 * [backup-simplify]: Simplify -2 into -2 8.713 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.713 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.713 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.713 * [taylor]: Taking taylor expansion of -1/2 in J 8.713 * [backup-simplify]: Simplify -1/2 into -1/2 8.713 * [taylor]: Taking taylor expansion of K in J 8.713 * [backup-simplify]: Simplify K into K 8.713 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.714 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.714 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.714 * [taylor]: Taking taylor expansion of J in J 8.714 * [backup-simplify]: Simplify 0 into 0 8.714 * [backup-simplify]: Simplify 1 into 1 8.714 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.714 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.714 * [backup-simplify]: Simplify (- 0) into 0 8.714 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.714 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.715 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 8.715 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 8.715 * [taylor]: Taking taylor expansion of -2 in K 8.715 * [backup-simplify]: Simplify -2 into -2 8.715 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.715 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.715 * [taylor]: Taking taylor expansion of -1/2 in K 8.715 * [backup-simplify]: Simplify -1/2 into -1/2 8.715 * [taylor]: Taking taylor expansion of K in K 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.715 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.715 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 8.716 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 8.716 * [backup-simplify]: Simplify (+ 0) into 0 8.716 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.717 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.718 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.718 * [backup-simplify]: Simplify (- 0) into 0 8.719 * [backup-simplify]: Simplify (+ 0 0) into 0 8.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 8.720 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 8.720 * [taylor]: Taking taylor expansion of 0 in K 8.720 * [backup-simplify]: Simplify 0 into 0 8.721 * [backup-simplify]: Simplify 0 into 0 8.721 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 8.721 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.723 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.724 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.725 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.725 * [backup-simplify]: Simplify (- 0) into 0 8.726 * [backup-simplify]: Simplify (+ 0 0) into 0 8.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.728 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.728 * [taylor]: Taking taylor expansion of 0 in K 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify 0 into 0 8.729 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.729 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.731 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.731 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.733 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.733 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.734 * [backup-simplify]: Simplify (- 0) into 0 8.734 * [backup-simplify]: Simplify (+ 0 0) into 0 8.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.737 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 8.738 * [taylor]: Taking taylor expansion of 0 in K 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 8.738 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 8.738 * [backup-simplify]: Simplify (/ U (* J (* (cos (/ K 2)) 2))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.738 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 8.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 8.738 * [taylor]: Taking taylor expansion of 1/2 in K 8.738 * [backup-simplify]: Simplify 1/2 into 1/2 8.738 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 8.738 * [taylor]: Taking taylor expansion of U in K 8.738 * [backup-simplify]: Simplify U into U 8.738 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.738 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.738 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.738 * [taylor]: Taking taylor expansion of 1/2 in K 8.738 * [backup-simplify]: Simplify 1/2 into 1/2 8.738 * [taylor]: Taking taylor expansion of K in K 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 1 into 1 8.739 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.740 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.740 * [taylor]: Taking taylor expansion of J in K 8.740 * [backup-simplify]: Simplify J into J 8.740 * [backup-simplify]: Simplify (* 1 J) into J 8.740 * [backup-simplify]: Simplify (/ U J) into (/ U J) 8.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 8.740 * [taylor]: Taking taylor expansion of 1/2 in J 8.740 * [backup-simplify]: Simplify 1/2 into 1/2 8.740 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 8.740 * [taylor]: Taking taylor expansion of U in J 8.740 * [backup-simplify]: Simplify U into U 8.740 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.740 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.740 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.740 * [taylor]: Taking taylor expansion of 1/2 in J 8.740 * [backup-simplify]: Simplify 1/2 into 1/2 8.740 * [taylor]: Taking taylor expansion of K in J 8.740 * [backup-simplify]: Simplify K into K 8.740 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.740 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.740 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.740 * [taylor]: Taking taylor expansion of J in J 8.740 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify 1 into 1 8.741 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.741 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.741 * [backup-simplify]: Simplify (- 0) into 0 8.741 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.741 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.742 * [backup-simplify]: Simplify (+ 0) into 0 8.742 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.744 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.745 * [backup-simplify]: Simplify (- 0) into 0 8.745 * [backup-simplify]: Simplify (+ 0 0) into 0 8.745 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.746 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 8.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.746 * [taylor]: Taking taylor expansion of 1/2 in U 8.746 * [backup-simplify]: Simplify 1/2 into 1/2 8.746 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.746 * [taylor]: Taking taylor expansion of U in U 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.746 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.746 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.746 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.746 * [taylor]: Taking taylor expansion of 1/2 in U 8.746 * [backup-simplify]: Simplify 1/2 into 1/2 8.746 * [taylor]: Taking taylor expansion of K in U 8.746 * [backup-simplify]: Simplify K into K 8.746 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.746 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.746 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.746 * [taylor]: Taking taylor expansion of J in U 8.746 * [backup-simplify]: Simplify J into J 8.746 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.746 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.747 * [backup-simplify]: Simplify (- 0) into 0 8.747 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.747 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.747 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.747 * [taylor]: Taking taylor expansion of 1/2 in U 8.747 * [backup-simplify]: Simplify 1/2 into 1/2 8.747 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.747 * [taylor]: Taking taylor expansion of U in U 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 1 into 1 8.747 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.747 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.747 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.748 * [taylor]: Taking taylor expansion of 1/2 in U 8.748 * [backup-simplify]: Simplify 1/2 into 1/2 8.748 * [taylor]: Taking taylor expansion of K in U 8.748 * [backup-simplify]: Simplify K into K 8.748 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.748 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.748 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.748 * [taylor]: Taking taylor expansion of J in U 8.748 * [backup-simplify]: Simplify J into J 8.748 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.748 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.748 * [backup-simplify]: Simplify (- 0) into 0 8.749 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.749 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.749 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.749 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 8.749 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 8.749 * [taylor]: Taking taylor expansion of 1/2 in J 8.749 * [backup-simplify]: Simplify 1/2 into 1/2 8.749 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.749 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.749 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.749 * [taylor]: Taking taylor expansion of 1/2 in J 8.749 * [backup-simplify]: Simplify 1/2 into 1/2 8.749 * [taylor]: Taking taylor expansion of K in J 8.749 * [backup-simplify]: Simplify K into K 8.749 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.749 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.750 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.750 * [taylor]: Taking taylor expansion of J in J 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.750 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.750 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.750 * [backup-simplify]: Simplify (- 0) into 0 8.751 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.751 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.751 * [backup-simplify]: Simplify (+ 0) into 0 8.752 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.753 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.753 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.754 * [backup-simplify]: Simplify (- 0) into 0 8.754 * [backup-simplify]: Simplify (+ 0 0) into 0 8.755 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.755 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 8.755 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 8.755 * [taylor]: Taking taylor expansion of 1/2 in K 8.755 * [backup-simplify]: Simplify 1/2 into 1/2 8.755 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.755 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.755 * [taylor]: Taking taylor expansion of 1/2 in K 8.755 * [backup-simplify]: Simplify 1/2 into 1/2 8.755 * [taylor]: Taking taylor expansion of K in K 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 1 into 1 8.756 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.756 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.757 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.757 * [backup-simplify]: Simplify 1/2 into 1/2 8.757 * [backup-simplify]: Simplify (+ 0) into 0 8.758 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.759 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.760 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.760 * [backup-simplify]: Simplify (- 0) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.761 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.761 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 8.762 * [taylor]: Taking taylor expansion of 0 in J 8.762 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.764 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.765 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.766 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.766 * [backup-simplify]: Simplify (- 0) into 0 8.767 * [backup-simplify]: Simplify (+ 0 0) into 0 8.768 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.768 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.768 * [taylor]: Taking taylor expansion of 0 in K 8.768 * [backup-simplify]: Simplify 0 into 0 8.768 * [backup-simplify]: Simplify 0 into 0 8.768 * [backup-simplify]: Simplify (+ 0) into 0 8.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.769 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.771 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.773 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.774 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.774 * [backup-simplify]: Simplify (- 0) into 0 8.774 * [backup-simplify]: Simplify (+ 0 0) into 0 8.775 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 8.775 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 8.776 * [taylor]: Taking taylor expansion of 0 in J 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [taylor]: Taking taylor expansion of 0 in K 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.777 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.778 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 8.781 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.781 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.782 * [backup-simplify]: Simplify (- 0) into 0 8.782 * [backup-simplify]: Simplify (+ 0 0) into 0 8.782 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.782 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 8.783 * [taylor]: Taking taylor expansion of 0 in K 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 8.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 8.784 * [backup-simplify]: Simplify 1/16 into 1/16 8.785 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 8.787 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.787 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.788 * [backup-simplify]: Simplify (- 0) into 0 8.788 * [backup-simplify]: Simplify (+ 0 0) into 0 8.788 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 8.789 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 8.790 * [taylor]: Taking taylor expansion of 0 in J 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [taylor]: Taking taylor expansion of 0 in K 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [taylor]: Taking taylor expansion of 0 in K 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [backup-simplify]: Simplify 0 into 0 8.791 * [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 8.792 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 8.794 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.796 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.797 * [backup-simplify]: Simplify (- 0) into 0 8.797 * [backup-simplify]: Simplify (+ 0 0) into 0 8.798 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.798 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 8.798 * [taylor]: Taking taylor expansion of 0 in K 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 8.798 * [backup-simplify]: Simplify (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 8.798 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 8.798 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 8.798 * [taylor]: Taking taylor expansion of 1/2 in K 8.798 * [backup-simplify]: Simplify 1/2 into 1/2 8.798 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 8.798 * [taylor]: Taking taylor expansion of J in K 8.798 * [backup-simplify]: Simplify J into J 8.799 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 8.799 * [taylor]: Taking taylor expansion of U in K 8.799 * [backup-simplify]: Simplify U into U 8.799 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.799 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.799 * [taylor]: Taking taylor expansion of 1/2 in K 8.799 * [backup-simplify]: Simplify 1/2 into 1/2 8.799 * [taylor]: Taking taylor expansion of K in K 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 1 into 1 8.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.799 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.799 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.799 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 8.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 8.799 * [taylor]: Taking taylor expansion of 1/2 in J 8.799 * [backup-simplify]: Simplify 1/2 into 1/2 8.799 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 8.799 * [taylor]: Taking taylor expansion of J in J 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 1 into 1 8.799 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 8.799 * [taylor]: Taking taylor expansion of U in J 8.799 * [backup-simplify]: Simplify U into U 8.799 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.799 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.799 * [taylor]: Taking taylor expansion of 1/2 in J 8.799 * [backup-simplify]: Simplify 1/2 into 1/2 8.799 * [taylor]: Taking taylor expansion of K in J 8.799 * [backup-simplify]: Simplify K into K 8.799 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.799 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.800 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.800 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.800 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.800 * [backup-simplify]: Simplify (- 0) into 0 8.800 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.800 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.800 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 8.800 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.800 * [taylor]: Taking taylor expansion of 1/2 in U 8.800 * [backup-simplify]: Simplify 1/2 into 1/2 8.800 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.800 * [taylor]: Taking taylor expansion of J in U 8.800 * [backup-simplify]: Simplify J into J 8.800 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.800 * [taylor]: Taking taylor expansion of U in U 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify 1 into 1 8.800 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.800 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.800 * [taylor]: Taking taylor expansion of 1/2 in U 8.800 * [backup-simplify]: Simplify 1/2 into 1/2 8.800 * [taylor]: Taking taylor expansion of K in U 8.800 * [backup-simplify]: Simplify K into K 8.800 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.800 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.800 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.801 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.801 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.801 * [backup-simplify]: Simplify (- 0) into 0 8.801 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.801 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.802 * [backup-simplify]: Simplify (+ 0) into 0 8.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.802 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.803 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.804 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.804 * [backup-simplify]: Simplify (- 0) into 0 8.805 * [backup-simplify]: Simplify (+ 0 0) into 0 8.805 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.805 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.805 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.805 * [taylor]: Taking taylor expansion of 1/2 in U 8.805 * [backup-simplify]: Simplify 1/2 into 1/2 8.805 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.805 * [taylor]: Taking taylor expansion of J in U 8.805 * [backup-simplify]: Simplify J into J 8.805 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.805 * [taylor]: Taking taylor expansion of U in U 8.806 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify 1 into 1 8.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.806 * [taylor]: Taking taylor expansion of 1/2 in U 8.806 * [backup-simplify]: Simplify 1/2 into 1/2 8.806 * [taylor]: Taking taylor expansion of K in U 8.806 * [backup-simplify]: Simplify K into K 8.806 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.806 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.806 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.806 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.806 * [backup-simplify]: Simplify (- 0) into 0 8.807 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.807 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.807 * [backup-simplify]: Simplify (+ 0) into 0 8.808 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.808 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.810 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.810 * [backup-simplify]: Simplify (- 0) into 0 8.810 * [backup-simplify]: Simplify (+ 0 0) into 0 8.811 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.811 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.811 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 8.811 * [taylor]: Taking taylor expansion of 1/2 in J 8.811 * [backup-simplify]: Simplify 1/2 into 1/2 8.811 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 8.811 * [taylor]: Taking taylor expansion of J in J 8.811 * [backup-simplify]: Simplify 0 into 0 8.812 * [backup-simplify]: Simplify 1 into 1 8.812 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.812 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.812 * [taylor]: Taking taylor expansion of 1/2 in J 8.812 * [backup-simplify]: Simplify 1/2 into 1/2 8.812 * [taylor]: Taking taylor expansion of K in J 8.812 * [backup-simplify]: Simplify K into K 8.812 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.812 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.812 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.812 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.812 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.812 * [backup-simplify]: Simplify (- 0) into 0 8.813 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.813 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 8.813 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 8.813 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 8.813 * [taylor]: Taking taylor expansion of 1/2 in K 8.813 * [backup-simplify]: Simplify 1/2 into 1/2 8.813 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.813 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.813 * [taylor]: Taking taylor expansion of 1/2 in K 8.813 * [backup-simplify]: Simplify 1/2 into 1/2 8.813 * [taylor]: Taking taylor expansion of K in K 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify 1 into 1 8.814 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.814 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.814 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.814 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.816 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.816 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.817 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.818 * [backup-simplify]: Simplify (- 0) into 0 8.818 * [backup-simplify]: Simplify (+ 0 0) into 0 8.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.820 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.820 * [taylor]: Taking taylor expansion of 0 in J 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [taylor]: Taking taylor expansion of 0 in K 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify 0 into 0 8.821 * [backup-simplify]: Simplify (+ 0) into 0 8.821 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.822 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.823 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.823 * [backup-simplify]: Simplify (- 0) into 0 8.824 * [backup-simplify]: Simplify (+ 0 0) into 0 8.824 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 8.824 * [taylor]: Taking taylor expansion of 0 in K 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.826 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.826 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.827 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.828 * [backup-simplify]: Simplify (- 0) into 0 8.828 * [backup-simplify]: Simplify (+ 0 0) into 0 8.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.829 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.829 * [taylor]: Taking taylor expansion of 0 in J 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [taylor]: Taking taylor expansion of 0 in K 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [taylor]: Taking taylor expansion of 0 in K 8.830 * [backup-simplify]: Simplify 0 into 0 8.830 * [backup-simplify]: Simplify 0 into 0 8.830 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.831 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.831 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.832 * [backup-simplify]: Simplify (- 0) into 0 8.832 * [backup-simplify]: Simplify (+ 0 0) into 0 8.832 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 8.833 * [taylor]: Taking taylor expansion of 0 in K 8.833 * [backup-simplify]: Simplify 0 into 0 8.833 * [backup-simplify]: Simplify 0 into 0 8.833 * [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))) 8.833 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.833 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 8.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.833 * [taylor]: Taking taylor expansion of 1/2 in K 8.833 * [backup-simplify]: Simplify 1/2 into 1/2 8.833 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.833 * [taylor]: Taking taylor expansion of J in K 8.833 * [backup-simplify]: Simplify J into J 8.834 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.834 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.834 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.834 * [taylor]: Taking taylor expansion of -1/2 in K 8.834 * [backup-simplify]: Simplify -1/2 into -1/2 8.834 * [taylor]: Taking taylor expansion of K in K 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify 1 into 1 8.834 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.834 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.834 * [taylor]: Taking taylor expansion of U in K 8.834 * [backup-simplify]: Simplify U into U 8.834 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.834 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.834 * [taylor]: Taking taylor expansion of 1/2 in J 8.834 * [backup-simplify]: Simplify 1/2 into 1/2 8.834 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.834 * [taylor]: Taking taylor expansion of J in J 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify 1 into 1 8.834 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.834 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.834 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.834 * [taylor]: Taking taylor expansion of -1/2 in J 8.834 * [backup-simplify]: Simplify -1/2 into -1/2 8.834 * [taylor]: Taking taylor expansion of K in J 8.834 * [backup-simplify]: Simplify K into K 8.834 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.834 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.834 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.834 * [taylor]: Taking taylor expansion of U in J 8.834 * [backup-simplify]: Simplify U into U 8.835 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.835 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.835 * [backup-simplify]: Simplify (- 0) into 0 8.835 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.835 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.835 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.835 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.835 * [taylor]: Taking taylor expansion of 1/2 in U 8.835 * [backup-simplify]: Simplify 1/2 into 1/2 8.835 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.835 * [taylor]: Taking taylor expansion of J in U 8.835 * [backup-simplify]: Simplify J into J 8.835 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.835 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.835 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.835 * [taylor]: Taking taylor expansion of -1/2 in U 8.835 * [backup-simplify]: Simplify -1/2 into -1/2 8.835 * [taylor]: Taking taylor expansion of K in U 8.835 * [backup-simplify]: Simplify K into K 8.835 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.835 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.835 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.835 * [taylor]: Taking taylor expansion of U in U 8.835 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify 1 into 1 8.835 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.835 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.836 * [backup-simplify]: Simplify (- 0) into 0 8.836 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.836 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.836 * [backup-simplify]: Simplify (+ 0) into 0 8.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.836 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.838 * [backup-simplify]: Simplify (- 0) into 0 8.838 * [backup-simplify]: Simplify (+ 0 0) into 0 8.838 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.838 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.838 * [taylor]: Taking taylor expansion of 1/2 in U 8.838 * [backup-simplify]: Simplify 1/2 into 1/2 8.838 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.838 * [taylor]: Taking taylor expansion of J in U 8.838 * [backup-simplify]: Simplify J into J 8.838 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.838 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.838 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.838 * [taylor]: Taking taylor expansion of -1/2 in U 8.838 * [backup-simplify]: Simplify -1/2 into -1/2 8.838 * [taylor]: Taking taylor expansion of K in U 8.838 * [backup-simplify]: Simplify K into K 8.838 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.838 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.838 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.838 * [taylor]: Taking taylor expansion of U in U 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 1 into 1 8.839 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.839 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.839 * [backup-simplify]: Simplify (- 0) into 0 8.839 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.839 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.839 * [backup-simplify]: Simplify (+ 0) into 0 8.840 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.840 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.840 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.841 * [backup-simplify]: Simplify (- 0) into 0 8.841 * [backup-simplify]: Simplify (+ 0 0) into 0 8.841 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.841 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.841 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 8.841 * [taylor]: Taking taylor expansion of 1/2 in J 8.841 * [backup-simplify]: Simplify 1/2 into 1/2 8.841 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 8.841 * [taylor]: Taking taylor expansion of J in J 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify 1 into 1 8.841 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.842 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.842 * [taylor]: Taking taylor expansion of -1/2 in J 8.842 * [backup-simplify]: Simplify -1/2 into -1/2 8.842 * [taylor]: Taking taylor expansion of K in J 8.842 * [backup-simplify]: Simplify K into K 8.842 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.842 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.842 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.842 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.842 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.842 * [backup-simplify]: Simplify (- 0) into 0 8.842 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.842 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 8.842 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 8.842 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 8.842 * [taylor]: Taking taylor expansion of 1/2 in K 8.842 * [backup-simplify]: Simplify 1/2 into 1/2 8.842 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.842 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.842 * [taylor]: Taking taylor expansion of -1/2 in K 8.842 * [backup-simplify]: Simplify -1/2 into -1/2 8.842 * [taylor]: Taking taylor expansion of K in K 8.842 * [backup-simplify]: Simplify 0 into 0 8.842 * [backup-simplify]: Simplify 1 into 1 8.843 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.843 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.843 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.843 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.843 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.844 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.844 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.845 * [backup-simplify]: Simplify (- 0) into 0 8.845 * [backup-simplify]: Simplify (+ 0 0) into 0 8.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.846 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.846 * [taylor]: Taking taylor expansion of 0 in J 8.846 * [backup-simplify]: Simplify 0 into 0 8.846 * [taylor]: Taking taylor expansion of 0 in K 8.846 * [backup-simplify]: Simplify 0 into 0 8.846 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify (+ 0) into 0 8.847 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.847 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.848 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.848 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.848 * [backup-simplify]: Simplify (- 0) into 0 8.848 * [backup-simplify]: Simplify (+ 0 0) into 0 8.849 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 8.849 * [taylor]: Taking taylor expansion of 0 in K 8.849 * [backup-simplify]: Simplify 0 into 0 8.849 * [backup-simplify]: Simplify 0 into 0 8.849 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.849 * [backup-simplify]: Simplify 0 into 0 8.850 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.850 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.850 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.851 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.852 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.852 * [backup-simplify]: Simplify (- 0) into 0 8.852 * [backup-simplify]: Simplify (+ 0 0) into 0 8.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.853 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.854 * [taylor]: Taking taylor expansion of 0 in J 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [taylor]: Taking taylor expansion of 0 in K 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [taylor]: Taking taylor expansion of 0 in K 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.856 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.857 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.858 * [backup-simplify]: Simplify (- 0) into 0 8.858 * [backup-simplify]: Simplify (+ 0 0) into 0 8.859 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 8.860 * [taylor]: Taking taylor expansion of 0 in K 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [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))) 8.860 * * * [progress]: simplifying candidates 8.860 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 8.860 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 8.860 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 8.860 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 16 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 18 / 104 ] simplifiying candidate # 8.861 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 23 / 104 ] simplifiying candidate #real (real->posit16 (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J))))> 8.862 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 8.862 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 44 / 104 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))))) J))> 8.863 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 8.863 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 50 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 8.864 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 65 / 104 ] simplifiying candidate #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) -2) (cos (/ K 2))) J))> 8.865 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 70 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 8.865 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 91 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #real (real->posit16 (/ U (* J (* (cos (/ K 2)) 2)))))) -2) (cos (/ K 2))) J))> 8.866 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 8.866 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 8.867 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 8.867 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 8.867 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 8.867 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 8.867 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 8.867 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 8.867 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 8.867 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 8.867 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 8.869 * [simplify]: Simplifying: (expm1 (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J)) (log1p (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J)) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J) (+ (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log -2)) (log (cos (/ K 2)))) (log J)) (+ (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (log (cos (/ K 2)))) (log J)) (+ (log (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (log J)) (log (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J)) (exp (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J)) (* (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) (* (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) (* (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (* (* J J) J)) (* (cbrt (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J)) (* (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J)) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J)) (sqrt (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J)) (sqrt (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J)) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) (sqrt J)) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) 1) (* (cos (/ K 2)) J) (real->posit16 (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) J)) (expm1 (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (log1p (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log -2)) (log (cos (/ K 2)))) (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (log (cos (/ K 2)))) (log (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (exp (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (cbrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))))) (cbrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (sqrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (sqrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (sqrt (cos (/ K 2)))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) 1) (* -2 (cos (/ K 2))) (real->posit16 (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (cos (/ K 2)))) (expm1 (* J (* (cos (/ K 2)) 2))) (log1p (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)) (+ (log J) (+ (log (cos (/ K 2))) (log 2))) (+ (log J) (log (* (cos (/ K 2)) 2))) (log (* J (* (cos (/ K 2)) 2))) (exp (* J (* (cos (/ K 2)) 2))) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 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))) (* J (cos (/ K 2))) (* (cbrt J) (* (cos (/ K 2)) 2)) (* (sqrt J) (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)) (real->posit16 (* J (* (cos (/ K 2)) 2))) (expm1 (/ U (* J (* (cos (/ K 2)) 2)))) (log1p (/ U (* J (* (cos (/ K 2)) 2)))) (- (log U) (+ (log J) (+ (log (cos (/ K 2))) (log 2)))) (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) (- (log U) (log (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (exp (/ U (* J (* (cos (/ K 2)) 2)))) (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2)))) (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2)))) (/ (* (* U U) U) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))) (* (cbrt (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (/ U (* J (* (cos (/ K 2)) 2))) (/ U (* J (* (cos (/ K 2)) 2)))) (/ U (* J (* (cos (/ K 2)) 2)))) (sqrt (/ U (* J (* (cos (/ K 2)) 2)))) (sqrt (/ U (* J (* (cos (/ K 2)) 2)))) (- U) (- (* J (* (cos (/ K 2)) 2))) (/ (* (cbrt U) (cbrt U)) J) (/ (cbrt U) (* (cos (/ K 2)) 2)) (/ (sqrt U) J) (/ (sqrt U) (* (cos (/ K 2)) 2)) (/ 1 J) (/ U (* (cos (/ K 2)) 2)) (/ 1 (* J (* (cos (/ K 2)) 2))) (/ (* J (* (cos (/ K 2)) 2)) U) (/ U J) (/ (* J (* (cos (/ K 2)) 2)) (cbrt U)) (/ (* J (* (cos (/ K 2)) 2)) (sqrt U)) (/ (* J (* (cos (/ K 2)) 2)) U) (real->posit16 (/ U (* J (* (cos (/ K 2)) 2)))) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) -2 (* -1 (/ U J)) (* -1 (/ U J)) (* 2 J) (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J)) (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.870 * * [simplify]: iteration 1: (160 enodes) 8.932 * * [simplify]: iteration 2: (677 enodes) 9.173 * * [simplify]: iteration 3: (1880 enodes) 11.042 * * [simplify]: Extracting #0: cost 68 inf + 0 11.046 * * [simplify]: Extracting #1: cost 971 inf + 1 11.063 * * [simplify]: Extracting #2: cost 2562 inf + 4444 11.081 * * [simplify]: Extracting #3: cost 2191 inf + 47672 11.109 * * [simplify]: Extracting #4: cost 1940 inf + 86368 11.207 * * [simplify]: Extracting #5: cost 894 inf + 388649 11.473 * * [simplify]: Extracting #6: cost 154 inf + 678850 11.711 * * [simplify]: Extracting #7: cost 0 inf + 748852 11.940 * * [simplify]: Extracting #8: cost 0 inf + 745772 12.219 * * [simplify]: Extracting #9: cost 0 inf + 745732 12.492 * [simplify]: Simplified to: (expm1 (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (log1p (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (log (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (log (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (log (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (log (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (exp (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) -2) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* -2 (sqrt J)) (cos (/ K 2)))) (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) J) (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (expm1 (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (log1p (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (log (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (log (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (log (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (exp (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (cbrt (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (cbrt (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (cbrt (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (sqrt (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (sqrt (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) -2))) (* (* (sqrt (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) -2) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) -2) (* -2 (cos (/ K 2))) (real->posit16 (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (expm1 (* (* (cos (/ K 2)) 2) J)) (log1p (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J) (log (* (* (cos (/ K 2)) 2) J)) (log (* (* (cos (/ K 2)) 2) J)) (log (* (* (cos (/ K 2)) 2) J)) (exp (* (* (cos (/ K 2)) 2) J)) (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) (* (cbrt (* (* (cos (/ K 2)) 2) J)) (cbrt (* (* (cos (/ K 2)) 2) J))) (cbrt (* (* (cos (/ K 2)) 2) J)) (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) (sqrt (* (* (cos (/ K 2)) 2) J)) (sqrt (* (* (cos (/ K 2)) 2) J)) (* (cos (/ K 2)) J) (* (cbrt J) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) (* (sqrt J) 2)) (* (* (cos (/ K 2)) 2) J) (real->posit16 (* (* (cos (/ K 2)) 2) J)) (expm1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (log1p (/ (/ (/ U J) (cos (/ K 2))) 2)) (log (/ (/ (/ U J) (cos (/ K 2))) 2)) (log (/ (/ (/ U J) (cos (/ K 2))) 2)) (log (/ (/ (/ U J) (cos (/ K 2))) 2)) (log (/ (/ (/ U J) (cos (/ K 2))) 2)) (exp (/ (/ (/ 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) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2))) (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (sqrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (sqrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (- U) (* (* J (- (cos (/ K 2)))) 2) (* (/ (cbrt U) J) (cbrt U)) (/ (cbrt U) (* (cos (/ K 2)) 2)) (/ (sqrt U) J) (/ (/ (sqrt U) 2) (cos (/ K 2))) (/ 1 J) (/ U (* (cos (/ K 2)) 2)) (/ (/ 1 (cos (/ K 2))) (* 2 J)) (/ (* 2 J) (/ U (cos (/ K 2)))) (/ U J) (/ (cos (/ K 2)) (/ (cbrt U) (* 2 J))) (/ (cos (/ K 2)) (/ (/ (sqrt U) J) 2)) (/ (* 2 J) (/ U (cos (/ K 2)))) (real->posit16 (/ (/ (/ U J) (cos (/ K 2))) 2)) (- (fma J 2 (/ (* 1/4 (* U U)) J))) (- U) (- U) -2 (- (/ U J)) (- (/ U J)) (* 2 J) (* (* J (cos (* K 1/2))) 2) (* (* J (cos (* K 1/2))) 2) (fma (/ U J) 1/2 (/ (* K (* K 1/16)) (/ J U))) (/ (/ U (/ (cos (* K 1/2)) 1/2)) J) (/ (/ U (/ (cos (* K 1/2)) 1/2)) J) 12.505 * * * [progress]: adding candidates to table 14.124 * * [progress]: iteration 3 / 4 14.124 * * * [progress]: picking best candidate 14.194 * * * * [pick]: Picked # 14.194 * * * [progress]: localizing error 14.238 * * * [progress]: generating rewritten candidates 14.238 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 14.316 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 14.340 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 14.354 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 14.399 * * * [progress]: generating series expansions 14.399 * * * * [progress]: [ 1 / 4 ] generating series at (2) 14.400 * [backup-simplify]: Simplify (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) J) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 14.400 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (K U J) around 0 14.400 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 14.400 * [taylor]: Taking taylor expansion of -2 in J 14.400 * [backup-simplify]: Simplify -2 into -2 14.400 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 14.400 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.400 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.400 * [taylor]: Taking taylor expansion of 1/2 in J 14.400 * [backup-simplify]: Simplify 1/2 into 1/2 14.400 * [taylor]: Taking taylor expansion of K in J 14.400 * [backup-simplify]: Simplify K into K 14.400 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.400 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.400 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.400 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 14.400 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 14.400 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 14.400 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 14.400 * [taylor]: Taking taylor expansion of (* 1 1) in J 14.400 * [taylor]: Taking taylor expansion of 1 in J 14.400 * [backup-simplify]: Simplify 1 into 1 14.400 * [taylor]: Taking taylor expansion of 1 in J 14.400 * [backup-simplify]: Simplify 1 into 1 14.400 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 14.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 14.401 * [taylor]: Taking taylor expansion of 1/2 in J 14.401 * [backup-simplify]: Simplify 1/2 into 1/2 14.401 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 14.401 * [taylor]: Taking taylor expansion of U in J 14.401 * [backup-simplify]: Simplify U into U 14.401 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.401 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.401 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.401 * [taylor]: Taking taylor expansion of 1/2 in J 14.401 * [backup-simplify]: Simplify 1/2 into 1/2 14.401 * [taylor]: Taking taylor expansion of K in J 14.401 * [backup-simplify]: Simplify K into K 14.401 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.401 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.401 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.401 * [taylor]: Taking taylor expansion of J in J 14.401 * [backup-simplify]: Simplify 0 into 0 14.401 * [backup-simplify]: Simplify 1 into 1 14.401 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.401 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.402 * [backup-simplify]: Simplify (- 0) into 0 14.402 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.402 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.403 * [backup-simplify]: Simplify (+ 0) into 0 14.403 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.404 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.405 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.405 * [backup-simplify]: Simplify (- 0) into 0 14.406 * [backup-simplify]: Simplify (+ 0 0) into 0 14.406 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.406 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 14.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 14.406 * [taylor]: Taking taylor expansion of 1/2 in J 14.406 * [backup-simplify]: Simplify 1/2 into 1/2 14.406 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 14.406 * [taylor]: Taking taylor expansion of U in J 14.406 * [backup-simplify]: Simplify U into U 14.406 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.406 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.407 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.407 * [taylor]: Taking taylor expansion of 1/2 in J 14.407 * [backup-simplify]: Simplify 1/2 into 1/2 14.407 * [taylor]: Taking taylor expansion of K in J 14.407 * [backup-simplify]: Simplify K into K 14.407 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.407 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.407 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.407 * [taylor]: Taking taylor expansion of J in J 14.407 * [backup-simplify]: Simplify 0 into 0 14.407 * [backup-simplify]: Simplify 1 into 1 14.407 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.407 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.407 * [backup-simplify]: Simplify (- 0) into 0 14.408 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.408 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.408 * [backup-simplify]: Simplify (+ 0) into 0 14.409 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.410 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.411 * [backup-simplify]: Simplify (- 0) into 0 14.411 * [backup-simplify]: Simplify (+ 0 0) into 0 14.412 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.412 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 14.412 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 14.412 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 14.412 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 14.413 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 14.413 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 14.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.415 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.417 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.417 * [backup-simplify]: Simplify (- 0) into 0 14.418 * [backup-simplify]: Simplify (+ 0 0) into 0 14.418 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.419 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 14.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 14.420 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.421 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.423 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.423 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.424 * [backup-simplify]: Simplify (- 0) into 0 14.424 * [backup-simplify]: Simplify (+ 0 0) into 0 14.425 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.425 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 14.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 14.426 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 14.426 * [backup-simplify]: Simplify (+ 0 0) into 0 14.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 14.427 * [taylor]: Taking taylor expansion of J in J 14.427 * [backup-simplify]: Simplify 0 into 0 14.427 * [backup-simplify]: Simplify 1 into 1 14.427 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 14.427 * [taylor]: Taking taylor expansion of -2 in U 14.427 * [backup-simplify]: Simplify -2 into -2 14.427 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 14.427 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.427 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.427 * [taylor]: Taking taylor expansion of 1/2 in U 14.427 * [backup-simplify]: Simplify 1/2 into 1/2 14.427 * [taylor]: Taking taylor expansion of K in U 14.427 * [backup-simplify]: Simplify K into K 14.427 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.427 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.427 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.427 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 14.427 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 14.427 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 14.427 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 14.427 * [taylor]: Taking taylor expansion of (* 1 1) in U 14.427 * [taylor]: Taking taylor expansion of 1 in U 14.427 * [backup-simplify]: Simplify 1 into 1 14.427 * [taylor]: Taking taylor expansion of 1 in U 14.427 * [backup-simplify]: Simplify 1 into 1 14.427 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 14.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 14.428 * [taylor]: Taking taylor expansion of 1/2 in U 14.428 * [backup-simplify]: Simplify 1/2 into 1/2 14.428 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.428 * [taylor]: Taking taylor expansion of U in U 14.428 * [backup-simplify]: Simplify 0 into 0 14.428 * [backup-simplify]: Simplify 1 into 1 14.428 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.428 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.428 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.428 * [taylor]: Taking taylor expansion of 1/2 in U 14.428 * [backup-simplify]: Simplify 1/2 into 1/2 14.428 * [taylor]: Taking taylor expansion of K in U 14.428 * [backup-simplify]: Simplify K into K 14.428 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.428 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.428 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.428 * [taylor]: Taking taylor expansion of J in U 14.428 * [backup-simplify]: Simplify J into J 14.428 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.428 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.429 * [backup-simplify]: Simplify (- 0) into 0 14.429 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.429 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.429 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 14.429 * [taylor]: Taking taylor expansion of 1/2 in U 14.429 * [backup-simplify]: Simplify 1/2 into 1/2 14.429 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.429 * [taylor]: Taking taylor expansion of U in U 14.429 * [backup-simplify]: Simplify 0 into 0 14.429 * [backup-simplify]: Simplify 1 into 1 14.429 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.429 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.429 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.429 * [taylor]: Taking taylor expansion of 1/2 in U 14.429 * [backup-simplify]: Simplify 1/2 into 1/2 14.429 * [taylor]: Taking taylor expansion of K in U 14.429 * [backup-simplify]: Simplify K into K 14.429 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.429 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.430 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.430 * [taylor]: Taking taylor expansion of J in U 14.430 * [backup-simplify]: Simplify J into J 14.430 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.430 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.430 * [backup-simplify]: Simplify (- 0) into 0 14.430 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.430 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.430 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.431 * [backup-simplify]: Simplify (* 1 1) into 1 14.431 * [backup-simplify]: Simplify (+ 1 0) into 1 14.432 * [backup-simplify]: Simplify (sqrt 1) into 1 14.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.433 * [backup-simplify]: Simplify (+ 0 0) into 0 14.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.434 * [taylor]: Taking taylor expansion of J in U 14.434 * [backup-simplify]: Simplify J into J 14.434 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 14.434 * [taylor]: Taking taylor expansion of -2 in K 14.434 * [backup-simplify]: Simplify -2 into -2 14.434 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 14.434 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.434 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.434 * [taylor]: Taking taylor expansion of 1/2 in K 14.434 * [backup-simplify]: Simplify 1/2 into 1/2 14.434 * [taylor]: Taking taylor expansion of K in K 14.434 * [backup-simplify]: Simplify 0 into 0 14.434 * [backup-simplify]: Simplify 1 into 1 14.435 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.435 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.435 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 14.435 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 14.436 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 14.436 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 14.436 * [taylor]: Taking taylor expansion of (* 1 1) in K 14.436 * [taylor]: Taking taylor expansion of 1 in K 14.436 * [backup-simplify]: Simplify 1 into 1 14.436 * [taylor]: Taking taylor expansion of 1 in K 14.436 * [backup-simplify]: Simplify 1 into 1 14.436 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 14.436 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 14.436 * [taylor]: Taking taylor expansion of 1/2 in K 14.436 * [backup-simplify]: Simplify 1/2 into 1/2 14.436 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 14.436 * [taylor]: Taking taylor expansion of U in K 14.436 * [backup-simplify]: Simplify U into U 14.436 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 14.436 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.436 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.436 * [taylor]: Taking taylor expansion of 1/2 in K 14.436 * [backup-simplify]: Simplify 1/2 into 1/2 14.436 * [taylor]: Taking taylor expansion of K in K 14.436 * [backup-simplify]: Simplify 0 into 0 14.436 * [backup-simplify]: Simplify 1 into 1 14.437 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.437 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.437 * [taylor]: Taking taylor expansion of J in K 14.437 * [backup-simplify]: Simplify J into J 14.437 * [backup-simplify]: Simplify (* 1 J) into J 14.438 * [backup-simplify]: Simplify (/ U J) into (/ U J) 14.438 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 14.438 * [taylor]: Taking taylor expansion of 1/2 in K 14.438 * [backup-simplify]: Simplify 1/2 into 1/2 14.438 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 14.438 * [taylor]: Taking taylor expansion of U in K 14.438 * [backup-simplify]: Simplify U into U 14.438 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 14.438 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.438 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.438 * [taylor]: Taking taylor expansion of 1/2 in K 14.438 * [backup-simplify]: Simplify 1/2 into 1/2 14.438 * [taylor]: Taking taylor expansion of K in K 14.438 * [backup-simplify]: Simplify 0 into 0 14.438 * [backup-simplify]: Simplify 1 into 1 14.438 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.439 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.439 * [taylor]: Taking taylor expansion of J in K 14.439 * [backup-simplify]: Simplify J into J 14.439 * [backup-simplify]: Simplify (* 1 J) into J 14.439 * [backup-simplify]: Simplify (/ U J) into (/ U J) 14.440 * [backup-simplify]: Simplify (* 1 1) into 1 14.440 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 14.440 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 14.440 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 14.440 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 14.441 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 14.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.442 * [backup-simplify]: Simplify (+ 0) into 0 14.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 14.443 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 14.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 14.443 * [backup-simplify]: Simplify (+ 0) into 0 14.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 14.444 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 14.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 14.445 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 14.445 * [backup-simplify]: Simplify (+ 0 0) into 0 14.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 14.446 * [taylor]: Taking taylor expansion of J in K 14.446 * [backup-simplify]: Simplify J into J 14.446 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 14.446 * [taylor]: Taking taylor expansion of -2 in K 14.446 * [backup-simplify]: Simplify -2 into -2 14.446 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 14.446 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.446 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.446 * [taylor]: Taking taylor expansion of 1/2 in K 14.446 * [backup-simplify]: Simplify 1/2 into 1/2 14.446 * [taylor]: Taking taylor expansion of K in K 14.446 * [backup-simplify]: Simplify 0 into 0 14.446 * [backup-simplify]: Simplify 1 into 1 14.446 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.447 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.447 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 14.447 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 14.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 14.447 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 14.447 * [taylor]: Taking taylor expansion of (* 1 1) in K 14.447 * [taylor]: Taking taylor expansion of 1 in K 14.447 * [backup-simplify]: Simplify 1 into 1 14.447 * [taylor]: Taking taylor expansion of 1 in K 14.447 * [backup-simplify]: Simplify 1 into 1 14.447 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 14.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 14.447 * [taylor]: Taking taylor expansion of 1/2 in K 14.448 * [backup-simplify]: Simplify 1/2 into 1/2 14.448 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 14.448 * [taylor]: Taking taylor expansion of U in K 14.448 * [backup-simplify]: Simplify U into U 14.448 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 14.448 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.448 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.448 * [taylor]: Taking taylor expansion of 1/2 in K 14.448 * [backup-simplify]: Simplify 1/2 into 1/2 14.448 * [taylor]: Taking taylor expansion of K in K 14.448 * [backup-simplify]: Simplify 0 into 0 14.448 * [backup-simplify]: Simplify 1 into 1 14.448 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.449 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.449 * [taylor]: Taking taylor expansion of J in K 14.449 * [backup-simplify]: Simplify J into J 14.449 * [backup-simplify]: Simplify (* 1 J) into J 14.449 * [backup-simplify]: Simplify (/ U J) into (/ U J) 14.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 14.449 * [taylor]: Taking taylor expansion of 1/2 in K 14.449 * [backup-simplify]: Simplify 1/2 into 1/2 14.449 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 14.449 * [taylor]: Taking taylor expansion of U in K 14.449 * [backup-simplify]: Simplify U into U 14.449 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 14.449 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.449 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.449 * [taylor]: Taking taylor expansion of 1/2 in K 14.449 * [backup-simplify]: Simplify 1/2 into 1/2 14.450 * [taylor]: Taking taylor expansion of K in K 14.450 * [backup-simplify]: Simplify 0 into 0 14.450 * [backup-simplify]: Simplify 1 into 1 14.450 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.451 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.451 * [taylor]: Taking taylor expansion of J in K 14.451 * [backup-simplify]: Simplify J into J 14.451 * [backup-simplify]: Simplify (* 1 J) into J 14.451 * [backup-simplify]: Simplify (/ U J) into (/ U J) 14.451 * [backup-simplify]: Simplify (* 1 1) into 1 14.451 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 14.452 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 14.452 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 14.452 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 14.452 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 14.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.453 * [backup-simplify]: Simplify (+ 0) into 0 14.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 14.454 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 14.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 14.455 * [backup-simplify]: Simplify (+ 0) into 0 14.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 14.455 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 14.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 14.456 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 14.457 * [backup-simplify]: Simplify (+ 0 0) into 0 14.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 14.457 * [taylor]: Taking taylor expansion of J in K 14.457 * [backup-simplify]: Simplify J into J 14.457 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) J) into (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 14.458 * [backup-simplify]: Simplify (* 1 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 14.458 * [backup-simplify]: Simplify (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 14.458 * [taylor]: Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in U 14.458 * [taylor]: Taking taylor expansion of -2 in U 14.458 * [backup-simplify]: Simplify -2 into -2 14.458 * [taylor]: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in U 14.458 * [taylor]: Taking taylor expansion of J in U 14.458 * [backup-simplify]: Simplify J into J 14.458 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in U 14.458 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U 14.458 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U 14.458 * [taylor]: Taking taylor expansion of 1/4 in U 14.458 * [backup-simplify]: Simplify 1/4 into 1/4 14.458 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 14.458 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.458 * [taylor]: Taking taylor expansion of U in U 14.458 * [backup-simplify]: Simplify 0 into 0 14.458 * [backup-simplify]: Simplify 1 into 1 14.458 * [taylor]: Taking taylor expansion of (pow J 2) in U 14.458 * [taylor]: Taking taylor expansion of J in U 14.458 * [backup-simplify]: Simplify J into J 14.459 * [backup-simplify]: Simplify (* 1 1) into 1 14.459 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.459 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 14.459 * [taylor]: Taking taylor expansion of 1 in U 14.459 * [backup-simplify]: Simplify 1 into 1 14.459 * [backup-simplify]: Simplify (+ 0 1) into 1 14.460 * [backup-simplify]: Simplify (sqrt 1) into 1 14.460 * [backup-simplify]: Simplify (+ 0 0) into 0 14.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.461 * [backup-simplify]: Simplify (* J 1) into J 14.461 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 14.461 * [taylor]: Taking taylor expansion of (* -2 J) in J 14.461 * [taylor]: Taking taylor expansion of -2 in J 14.461 * [backup-simplify]: Simplify -2 into -2 14.461 * [taylor]: Taking taylor expansion of J in J 14.461 * [backup-simplify]: Simplify 0 into 0 14.461 * [backup-simplify]: Simplify 1 into 1 14.462 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 0) (* 0 J)) into 0 14.462 * [backup-simplify]: Simplify (+ 0) into 0 14.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 14.463 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 14.463 * [taylor]: Taking taylor expansion of 0 in U 14.463 * [backup-simplify]: Simplify 0 into 0 14.463 * [taylor]: Taking taylor expansion of 0 in J 14.464 * [backup-simplify]: Simplify 0 into 0 14.464 * [backup-simplify]: Simplify (+ (* J 0) (* 0 1)) into 0 14.465 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 14.465 * [taylor]: Taking taylor expansion of 0 in J 14.465 * [backup-simplify]: Simplify 0 into 0 14.465 * [backup-simplify]: Simplify (* -2 0) into 0 14.465 * [backup-simplify]: Simplify 0 into 0 14.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.467 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 14.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 14.468 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ (- (* 1/8 J)) J)) (* 0 (/ 0 J)))) into (* 1/8 (/ U J)) 14.469 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/8 (/ U J))) (+ (* 0 0) (* 0 (/ U J)))) into (* 1/16 (/ U J)) 14.470 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 14.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 14.471 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ (- (* 1/8 J)) J)) (* 0 (/ 0 J)))) into (* 1/8 (/ U J)) 14.471 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/8 (/ U J))) (+ (* 0 0) (* 0 (/ U J)))) into (* 1/16 (/ U J)) 14.472 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) (* 1/16 (/ U J))) (+ (* 0 0) (* (* 1/16 (/ U J)) (* 1/2 (/ U J))))) into (* 1/16 (/ (pow U 2) (pow J 2))) 14.472 * [backup-simplify]: Simplify (+ 0 (* 1/16 (/ (pow U 2) (pow J 2)))) into (* 1/16 (/ (pow U 2) (pow J 2))) 14.473 * [backup-simplify]: Simplify (/ (- (* 1/16 (/ (pow U 2) (pow J 2))) (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 14.475 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 0) (+ (* 0 0) (* (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) J))) into (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 14.476 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 14.477 * [backup-simplify]: Simplify (+ (* 1 (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (* -1/8 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (- (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/8 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 14.478 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/8 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (* 0 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) 14.479 * [taylor]: Taking taylor expansion of (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) in U 14.479 * [taylor]: Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in U 14.479 * [taylor]: Taking taylor expansion of 1/4 in U 14.479 * [backup-simplify]: Simplify 1/4 into 1/4 14.479 * [taylor]: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in U 14.479 * [taylor]: Taking taylor expansion of J in U 14.479 * [backup-simplify]: Simplify J into J 14.479 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in U 14.479 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U 14.479 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U 14.479 * [taylor]: Taking taylor expansion of 1/4 in U 14.479 * [backup-simplify]: Simplify 1/4 into 1/4 14.479 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 14.479 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.479 * [taylor]: Taking taylor expansion of U in U 14.479 * [backup-simplify]: Simplify 0 into 0 14.479 * [backup-simplify]: Simplify 1 into 1 14.479 * [taylor]: Taking taylor expansion of (pow J 2) in U 14.479 * [taylor]: Taking taylor expansion of J in U 14.479 * [backup-simplify]: Simplify J into J 14.479 * [backup-simplify]: Simplify (* 1 1) into 1 14.480 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.480 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 14.480 * [taylor]: Taking taylor expansion of 1 in U 14.480 * [backup-simplify]: Simplify 1 into 1 14.480 * [backup-simplify]: Simplify (+ 0 1) into 1 14.481 * [backup-simplify]: Simplify (sqrt 1) into 1 14.481 * [backup-simplify]: Simplify (+ 0 0) into 0 14.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.482 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) in U 14.482 * [taylor]: Taking taylor expansion of 1/16 in U 14.482 * [backup-simplify]: Simplify 1/16 into 1/16 14.482 * [taylor]: Taking taylor expansion of (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in U 14.482 * [taylor]: Taking taylor expansion of (/ (pow U 2) J) in U 14.482 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.482 * [taylor]: Taking taylor expansion of U in U 14.482 * [backup-simplify]: Simplify 0 into 0 14.482 * [backup-simplify]: Simplify 1 into 1 14.482 * [taylor]: Taking taylor expansion of J in U 14.482 * [backup-simplify]: Simplify J into J 14.482 * [backup-simplify]: Simplify (* 1 1) into 1 14.483 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 14.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in U 14.483 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in U 14.483 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U 14.483 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U 14.483 * [taylor]: Taking taylor expansion of 1/4 in U 14.483 * [backup-simplify]: Simplify 1/4 into 1/4 14.483 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 14.483 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.483 * [taylor]: Taking taylor expansion of U in U 14.483 * [backup-simplify]: Simplify 0 into 0 14.483 * [backup-simplify]: Simplify 1 into 1 14.483 * [taylor]: Taking taylor expansion of (pow J 2) in U 14.483 * [taylor]: Taking taylor expansion of J in U 14.483 * [backup-simplify]: Simplify J into J 14.484 * [backup-simplify]: Simplify (* 1 1) into 1 14.484 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.484 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 14.484 * [taylor]: Taking taylor expansion of 1 in U 14.484 * [backup-simplify]: Simplify 1 into 1 14.485 * [backup-simplify]: Simplify (+ 0 1) into 1 14.485 * [backup-simplify]: Simplify (/ 1 1) into 1 14.485 * [backup-simplify]: Simplify (sqrt 1) into 1 14.486 * [backup-simplify]: Simplify (+ 0 0) into 0 14.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.487 * [backup-simplify]: Simplify (* J 1) into J 14.487 * [backup-simplify]: Simplify (* 1/4 J) into (* 1/4 J) 14.487 * [backup-simplify]: Simplify (+ (* 1/4 J) 0) into (* 1/4 J) 14.487 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 14.487 * [taylor]: Taking taylor expansion of 1/4 in J 14.487 * [backup-simplify]: Simplify 1/4 into 1/4 14.487 * [taylor]: Taking taylor expansion of J in J 14.487 * [backup-simplify]: Simplify 0 into 0 14.488 * [backup-simplify]: Simplify 1 into 1 14.488 * [taylor]: Taking taylor expansion of 0 in J 14.488 * [backup-simplify]: Simplify 0 into 0 14.488 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2)) 14.488 * [backup-simplify]: Simplify (+ (/ 1/4 (pow J 2)) 0) into (* 1/4 (/ 1 (pow J 2))) 14.489 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (pow J 2)) 14.489 * [backup-simplify]: Simplify (+ (* J (/ 1/8 (pow J 2))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 J)) 14.490 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 J))) (+ (* 0 0) (* 0 J))) into (- (* 1/4 (/ 1 J))) 14.490 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 14.490 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 14.490 * [taylor]: Taking taylor expansion of 1/4 in J 14.490 * [backup-simplify]: Simplify 1/4 into 1/4 14.490 * [taylor]: Taking taylor expansion of (/ 1 J) in J 14.490 * [taylor]: Taking taylor expansion of J in J 14.490 * [backup-simplify]: Simplify 0 into 0 14.490 * [backup-simplify]: Simplify 1 into 1 14.490 * [backup-simplify]: Simplify (/ 1 1) into 1 14.490 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 14.491 * [backup-simplify]: Simplify (- 1/4) into -1/4 14.491 * [backup-simplify]: Simplify -1/4 into -1/4 14.491 * [backup-simplify]: Simplify 0 into 0 14.491 * [backup-simplify]: Simplify 0 into 0 14.491 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 14.491 * [backup-simplify]: Simplify -2 into -2 14.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 14.493 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 14.494 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ (- (* 1/8 J)) J)) (* (* 1/8 (/ U J)) (/ 0 J)))) into 0 14.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* 1/8 (/ U J))) (+ (* 0 0) (* 0 (/ U J))))) into 0 14.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 14.496 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 14.497 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ (- (* 1/8 J)) J)) (* (* 1/8 (/ U J)) (/ 0 J)))) into 0 14.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* 1/8 (/ U J))) (+ (* 0 0) (* 0 (/ U J))))) into 0 14.498 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (+ (* 0 (* 1/16 (/ U J))) (+ (* (* 1/16 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))))) into 0 14.499 * [backup-simplify]: Simplify (+ 0 0) into 0 14.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 14.500 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 0) (+ (* 0 0) (+ (* (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 0) (* 0 J)))) into 0 14.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 14.501 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* -1/8 0) (* 0 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into 0 14.503 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/8 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (* 0 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into 0 14.503 * [taylor]: Taking taylor expansion of 0 in U 14.503 * [backup-simplify]: Simplify 0 into 0 14.503 * [taylor]: Taking taylor expansion of 0 in J 14.503 * [backup-simplify]: Simplify 0 into 0 14.504 * [backup-simplify]: Simplify (+ (* J 0) (* 0 1)) into 0 14.504 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 J)) into 0 14.504 * [backup-simplify]: Simplify (+ 0 0) into 0 14.504 * [taylor]: Taking taylor expansion of 0 in J 14.504 * [backup-simplify]: Simplify 0 into 0 14.504 * [taylor]: Taking taylor expansion of 0 in J 14.504 * [backup-simplify]: Simplify 0 into 0 14.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.505 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 14.505 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))))) into 0 14.505 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow J 2)))) into 0 14.506 * [backup-simplify]: Simplify (+ 0 0) into 0 14.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (pow J 2)))))) (* 2 1)) into 0 14.506 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 (/ 1/8 (pow J 2))) (+ (* 0 0) (* 0 1)))) into 0 14.507 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 J))) (+ (* 0 0) (* 0 J)))) into 0 14.507 * [taylor]: Taking taylor expansion of 0 in J 14.507 * [backup-simplify]: Simplify 0 into 0 14.507 * [backup-simplify]: Simplify (* 1/4 0) into 0 14.507 * [backup-simplify]: Simplify 0 into 0 14.507 * [backup-simplify]: Simplify 0 into 0 14.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.508 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 14.509 * [backup-simplify]: Simplify (- 0) into 0 14.509 * [backup-simplify]: Simplify 0 into 0 14.509 * [backup-simplify]: Simplify 0 into 0 14.509 * [backup-simplify]: Simplify 0 into 0 14.514 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 14.514 * [backup-simplify]: Simplify 0 into 0 14.515 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* (pow U 2) 1)))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 14.515 * [backup-simplify]: Simplify (* (* (* -2 (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) (cos (/ (/ 1 K) 2))) 2))) (/ 1 J)) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 14.515 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (K U J) around 0 14.515 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 14.515 * [taylor]: Taking taylor expansion of -2 in J 14.515 * [backup-simplify]: Simplify -2 into -2 14.515 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 14.515 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 14.515 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 14.515 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 14.515 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 14.515 * [taylor]: Taking taylor expansion of (* 1 1) in J 14.515 * [taylor]: Taking taylor expansion of 1 in J 14.515 * [backup-simplify]: Simplify 1 into 1 14.515 * [taylor]: Taking taylor expansion of 1 in J 14.515 * [backup-simplify]: Simplify 1 into 1 14.515 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 14.515 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 14.515 * [taylor]: Taking taylor expansion of 1/2 in J 14.515 * [backup-simplify]: Simplify 1/2 into 1/2 14.515 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 14.515 * [taylor]: Taking taylor expansion of J in J 14.515 * [backup-simplify]: Simplify 0 into 0 14.515 * [backup-simplify]: Simplify 1 into 1 14.515 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 14.515 * [taylor]: Taking taylor expansion of U in J 14.515 * [backup-simplify]: Simplify U into U 14.515 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.515 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.516 * [taylor]: Taking taylor expansion of 1/2 in J 14.516 * [backup-simplify]: Simplify 1/2 into 1/2 14.516 * [taylor]: Taking taylor expansion of K in J 14.516 * [backup-simplify]: Simplify K into K 14.516 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.516 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.516 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.516 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.516 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.516 * [backup-simplify]: Simplify (- 0) into 0 14.516 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.516 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.516 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 14.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 14.516 * [taylor]: Taking taylor expansion of 1/2 in J 14.516 * [backup-simplify]: Simplify 1/2 into 1/2 14.516 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 14.516 * [taylor]: Taking taylor expansion of J in J 14.516 * [backup-simplify]: Simplify 0 into 0 14.516 * [backup-simplify]: Simplify 1 into 1 14.516 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 14.516 * [taylor]: Taking taylor expansion of U in J 14.516 * [backup-simplify]: Simplify U into U 14.516 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.516 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.516 * [taylor]: Taking taylor expansion of 1/2 in J 14.516 * [backup-simplify]: Simplify 1/2 into 1/2 14.516 * [taylor]: Taking taylor expansion of K in J 14.516 * [backup-simplify]: Simplify K into K 14.516 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.517 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.517 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.517 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.517 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.517 * [backup-simplify]: Simplify (- 0) into 0 14.517 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.517 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.517 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 14.517 * [backup-simplify]: Simplify (* 1 1) into 1 14.518 * [backup-simplify]: Simplify (+ 1 0) into 1 14.518 * [backup-simplify]: Simplify (sqrt 1) into 1 14.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.519 * [backup-simplify]: Simplify (+ 0 0) into 0 14.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.519 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.519 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.519 * [taylor]: Taking taylor expansion of 1/2 in J 14.519 * [backup-simplify]: Simplify 1/2 into 1/2 14.519 * [taylor]: Taking taylor expansion of K in J 14.519 * [backup-simplify]: Simplify K into K 14.519 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.519 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.519 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.519 * [taylor]: Taking taylor expansion of J in J 14.519 * [backup-simplify]: Simplify 0 into 0 14.519 * [backup-simplify]: Simplify 1 into 1 14.519 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.519 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.520 * [backup-simplify]: Simplify (- 0) into 0 14.520 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.520 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 14.520 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.520 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 14.520 * [taylor]: Taking taylor expansion of -2 in U 14.520 * [backup-simplify]: Simplify -2 into -2 14.520 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 14.520 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 14.520 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 14.520 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 14.520 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 14.520 * [taylor]: Taking taylor expansion of (* 1 1) in U 14.520 * [taylor]: Taking taylor expansion of 1 in U 14.520 * [backup-simplify]: Simplify 1 into 1 14.520 * [taylor]: Taking taylor expansion of 1 in U 14.520 * [backup-simplify]: Simplify 1 into 1 14.520 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 14.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 14.520 * [taylor]: Taking taylor expansion of 1/2 in U 14.520 * [backup-simplify]: Simplify 1/2 into 1/2 14.520 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.520 * [taylor]: Taking taylor expansion of J in U 14.520 * [backup-simplify]: Simplify J into J 14.520 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.520 * [taylor]: Taking taylor expansion of U in U 14.520 * [backup-simplify]: Simplify 0 into 0 14.520 * [backup-simplify]: Simplify 1 into 1 14.520 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.520 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.520 * [taylor]: Taking taylor expansion of 1/2 in U 14.520 * [backup-simplify]: Simplify 1/2 into 1/2 14.520 * [taylor]: Taking taylor expansion of K in U 14.520 * [backup-simplify]: Simplify K into K 14.520 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.520 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.520 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.520 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.521 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.521 * [backup-simplify]: Simplify (- 0) into 0 14.521 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.521 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.522 * [backup-simplify]: Simplify (+ 0) into 0 14.522 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.522 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.523 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.524 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.524 * [backup-simplify]: Simplify (- 0) into 0 14.524 * [backup-simplify]: Simplify (+ 0 0) into 0 14.525 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.525 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 14.525 * [taylor]: Taking taylor expansion of 1/2 in U 14.525 * [backup-simplify]: Simplify 1/2 into 1/2 14.525 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.525 * [taylor]: Taking taylor expansion of J in U 14.525 * [backup-simplify]: Simplify J into J 14.525 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.525 * [taylor]: Taking taylor expansion of U in U 14.525 * [backup-simplify]: Simplify 0 into 0 14.525 * [backup-simplify]: Simplify 1 into 1 14.525 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.525 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.525 * [taylor]: Taking taylor expansion of 1/2 in U 14.525 * [backup-simplify]: Simplify 1/2 into 1/2 14.525 * [taylor]: Taking taylor expansion of K in U 14.526 * [backup-simplify]: Simplify K into K 14.526 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.526 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.526 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.526 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.526 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.526 * [backup-simplify]: Simplify (- 0) into 0 14.526 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.527 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.527 * [backup-simplify]: Simplify (+ 0) into 0 14.527 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.528 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.529 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.529 * [backup-simplify]: Simplify (- 0) into 0 14.530 * [backup-simplify]: Simplify (+ 0 0) into 0 14.530 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.530 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.531 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.531 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.531 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 14.531 * [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))) 14.531 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.532 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.533 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.533 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.534 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.535 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.535 * [backup-simplify]: Simplify (- 0) into 0 14.536 * [backup-simplify]: Simplify (+ 0 0) into 0 14.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 14.537 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 14.539 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.540 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.540 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.541 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.541 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.542 * [backup-simplify]: Simplify (- 0) into 0 14.542 * [backup-simplify]: Simplify (+ 0 0) into 0 14.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 14.543 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 14.545 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 14.545 * [backup-simplify]: Simplify (+ 0 0) into 0 14.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 14.546 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.546 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.546 * [taylor]: Taking taylor expansion of 1/2 in U 14.546 * [backup-simplify]: Simplify 1/2 into 1/2 14.546 * [taylor]: Taking taylor expansion of K in U 14.546 * [backup-simplify]: Simplify K into K 14.546 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.546 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.546 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.546 * [taylor]: Taking taylor expansion of J in U 14.546 * [backup-simplify]: Simplify J into J 14.546 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.546 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.546 * [backup-simplify]: Simplify (- 0) into 0 14.547 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.547 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 14.547 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 14.547 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 14.547 * [taylor]: Taking taylor expansion of -2 in K 14.547 * [backup-simplify]: Simplify -2 into -2 14.547 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 14.547 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 14.547 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 14.547 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 14.547 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 14.547 * [taylor]: Taking taylor expansion of (* 1 1) in K 14.547 * [taylor]: Taking taylor expansion of 1 in K 14.547 * [backup-simplify]: Simplify 1 into 1 14.547 * [taylor]: Taking taylor expansion of 1 in K 14.547 * [backup-simplify]: Simplify 1 into 1 14.547 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 14.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 14.547 * [taylor]: Taking taylor expansion of 1/2 in K 14.547 * [backup-simplify]: Simplify 1/2 into 1/2 14.547 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 14.547 * [taylor]: Taking taylor expansion of J in K 14.547 * [backup-simplify]: Simplify J into J 14.547 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 14.547 * [taylor]: Taking taylor expansion of U in K 14.547 * [backup-simplify]: Simplify U into U 14.547 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.548 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.548 * [taylor]: Taking taylor expansion of 1/2 in K 14.548 * [backup-simplify]: Simplify 1/2 into 1/2 14.548 * [taylor]: Taking taylor expansion of K in K 14.548 * [backup-simplify]: Simplify 0 into 0 14.548 * [backup-simplify]: Simplify 1 into 1 14.548 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.548 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.548 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.548 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 14.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 14.548 * [taylor]: Taking taylor expansion of 1/2 in K 14.549 * [backup-simplify]: Simplify 1/2 into 1/2 14.549 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 14.549 * [taylor]: Taking taylor expansion of J in K 14.549 * [backup-simplify]: Simplify J into J 14.549 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 14.549 * [taylor]: Taking taylor expansion of U in K 14.549 * [backup-simplify]: Simplify U into U 14.549 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.549 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.549 * [taylor]: Taking taylor expansion of 1/2 in K 14.549 * [backup-simplify]: Simplify 1/2 into 1/2 14.549 * [taylor]: Taking taylor expansion of K in K 14.549 * [backup-simplify]: Simplify 0 into 0 14.549 * [backup-simplify]: Simplify 1 into 1 14.549 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.549 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.549 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.550 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 14.550 * [backup-simplify]: Simplify (* 1 1) into 1 14.550 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 14.550 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 14.551 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 14.551 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 14.551 * [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)) 14.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.552 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 14.552 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 14.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 14.553 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 14.553 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 14.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 14.554 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 14.555 * [backup-simplify]: Simplify (+ 0 0) into 0 14.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 14.555 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.555 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.555 * [taylor]: Taking taylor expansion of 1/2 in K 14.555 * [backup-simplify]: Simplify 1/2 into 1/2 14.555 * [taylor]: Taking taylor expansion of K in K 14.555 * [backup-simplify]: Simplify 0 into 0 14.555 * [backup-simplify]: Simplify 1 into 1 14.556 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.556 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.556 * [taylor]: Taking taylor expansion of J in K 14.556 * [backup-simplify]: Simplify J into J 14.556 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 14.557 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 14.557 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 14.557 * [taylor]: Taking taylor expansion of -2 in K 14.557 * [backup-simplify]: Simplify -2 into -2 14.557 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 14.557 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 14.557 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 14.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 14.557 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 14.557 * [taylor]: Taking taylor expansion of (* 1 1) in K 14.557 * [taylor]: Taking taylor expansion of 1 in K 14.557 * [backup-simplify]: Simplify 1 into 1 14.557 * [taylor]: Taking taylor expansion of 1 in K 14.557 * [backup-simplify]: Simplify 1 into 1 14.557 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 14.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 14.557 * [taylor]: Taking taylor expansion of 1/2 in K 14.557 * [backup-simplify]: Simplify 1/2 into 1/2 14.557 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 14.557 * [taylor]: Taking taylor expansion of J in K 14.557 * [backup-simplify]: Simplify J into J 14.557 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 14.558 * [taylor]: Taking taylor expansion of U in K 14.558 * [backup-simplify]: Simplify U into U 14.558 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.558 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.558 * [taylor]: Taking taylor expansion of 1/2 in K 14.558 * [backup-simplify]: Simplify 1/2 into 1/2 14.558 * [taylor]: Taking taylor expansion of K in K 14.558 * [backup-simplify]: Simplify 0 into 0 14.558 * [backup-simplify]: Simplify 1 into 1 14.558 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.558 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.558 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.558 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 14.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 14.559 * [taylor]: Taking taylor expansion of 1/2 in K 14.559 * [backup-simplify]: Simplify 1/2 into 1/2 14.559 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 14.559 * [taylor]: Taking taylor expansion of J in K 14.559 * [backup-simplify]: Simplify J into J 14.559 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 14.559 * [taylor]: Taking taylor expansion of U in K 14.559 * [backup-simplify]: Simplify U into U 14.559 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.559 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.559 * [taylor]: Taking taylor expansion of 1/2 in K 14.559 * [backup-simplify]: Simplify 1/2 into 1/2 14.559 * [taylor]: Taking taylor expansion of K in K 14.559 * [backup-simplify]: Simplify 0 into 0 14.559 * [backup-simplify]: Simplify 1 into 1 14.559 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.559 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.559 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.560 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 14.560 * [backup-simplify]: Simplify (* 1 1) into 1 14.560 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 14.560 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 14.561 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 14.561 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 14.561 * [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)) 14.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.562 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 14.562 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 14.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 14.563 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 14.563 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 14.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 14.564 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 14.565 * [backup-simplify]: Simplify (+ 0 0) into 0 14.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 14.565 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.565 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.565 * [taylor]: Taking taylor expansion of 1/2 in K 14.565 * [backup-simplify]: Simplify 1/2 into 1/2 14.565 * [taylor]: Taking taylor expansion of K in K 14.565 * [backup-simplify]: Simplify 0 into 0 14.565 * [backup-simplify]: Simplify 1 into 1 14.566 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.566 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.566 * [taylor]: Taking taylor expansion of J in K 14.566 * [backup-simplify]: Simplify J into J 14.566 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 14.567 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 14.567 * [backup-simplify]: Simplify (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 14.567 * [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 14.567 * [taylor]: Taking taylor expansion of -2 in U 14.568 * [backup-simplify]: Simplify -2 into -2 14.568 * [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 14.568 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 14.568 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 14.568 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 14.568 * [taylor]: Taking taylor expansion of 1/4 in U 14.568 * [backup-simplify]: Simplify 1/4 into 1/4 14.568 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 14.568 * [taylor]: Taking taylor expansion of (pow J 2) in U 14.568 * [taylor]: Taking taylor expansion of J in U 14.568 * [backup-simplify]: Simplify J into J 14.568 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 14.568 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.568 * [taylor]: Taking taylor expansion of U in U 14.568 * [backup-simplify]: Simplify 0 into 0 14.568 * [backup-simplify]: Simplify 1 into 1 14.568 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 14.568 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.568 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.568 * [taylor]: Taking taylor expansion of 1/2 in U 14.568 * [backup-simplify]: Simplify 1/2 into 1/2 14.568 * [taylor]: Taking taylor expansion of K in U 14.568 * [backup-simplify]: Simplify K into K 14.568 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.568 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.568 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.568 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.568 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.569 * [backup-simplify]: Simplify (- 0) into 0 14.569 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.569 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.569 * [backup-simplify]: Simplify (* 1 1) into 1 14.570 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 14.570 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 14.570 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 14.570 * [taylor]: Taking taylor expansion of 1 in U 14.570 * [backup-simplify]: Simplify 1 into 1 14.570 * [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))) 14.570 * [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))) 14.571 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.571 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 14.571 * [backup-simplify]: Simplify (+ 0) into 0 14.572 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.573 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.573 * [backup-simplify]: Simplify (- 0) into 0 14.574 * [backup-simplify]: Simplify (+ 0 0) into 0 14.574 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 14.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 14.575 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 14.576 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 14.576 * [backup-simplify]: Simplify (+ 0 0) into 0 14.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 14.577 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 14.577 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.577 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.577 * [taylor]: Taking taylor expansion of 1/2 in U 14.577 * [backup-simplify]: Simplify 1/2 into 1/2 14.577 * [taylor]: Taking taylor expansion of K in U 14.577 * [backup-simplify]: Simplify K into K 14.577 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.577 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.577 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.577 * [taylor]: Taking taylor expansion of J in U 14.577 * [backup-simplify]: Simplify J into J 14.577 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.577 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.578 * [backup-simplify]: Simplify (- 0) into 0 14.578 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.578 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 14.578 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 14.579 * [backup-simplify]: Simplify (* -2 1/2) into -1 14.579 * [taylor]: Taking taylor expansion of -1 in J 14.579 * [backup-simplify]: Simplify -1 into -1 14.579 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 0) (* 0 (cos (/ 1/2 K)))) into 0 14.580 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) (/ 0 J)))) into 0 14.581 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) into 0 14.581 * [taylor]: Taking taylor expansion of 0 in U 14.581 * [backup-simplify]: Simplify 0 into 0 14.581 * [backup-simplify]: Simplify (+ 0) into 0 14.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.583 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.583 * [backup-simplify]: Simplify (- 0) into 0 14.584 * [backup-simplify]: Simplify (+ 0 0) into 0 14.584 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 14.584 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 14.585 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 14.585 * [taylor]: Taking taylor expansion of 0 in J 14.585 * [backup-simplify]: Simplify 0 into 0 14.585 * [backup-simplify]: Simplify -1 into -1 14.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.587 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 14.587 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 14.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (* U (cos (/ 1/2 K))))))) into 0 14.588 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 14.589 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 14.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (* U (cos (/ 1/2 K))))))) into 0 14.591 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 14.591 * [backup-simplify]: Simplify (+ 0 0) into 0 14.592 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 14.593 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 14.594 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)))) into 0 14.595 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) into 0 14.595 * [taylor]: Taking taylor expansion of 0 in U 14.595 * [backup-simplify]: Simplify 0 into 0 14.595 * [taylor]: Taking taylor expansion of 0 in J 14.595 * [backup-simplify]: Simplify 0 into 0 14.596 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.597 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.597 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.598 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.598 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.599 * [backup-simplify]: Simplify (- 0) into 0 14.599 * [backup-simplify]: Simplify (+ 0 0) into 0 14.599 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 14.600 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 14.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.602 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.602 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.603 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.603 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.604 * [backup-simplify]: Simplify (- 0) into 0 14.604 * [backup-simplify]: Simplify (+ 0 0) into 0 14.605 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 14.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 14.607 * [backup-simplify]: 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 14.608 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 14.609 * [backup-simplify]: Simplify (+ 0 1) into 1 14.610 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 14.611 * [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)) 14.612 * [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)))) 14.612 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 14.612 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 14.612 * [taylor]: Taking taylor expansion of 2 in J 14.612 * [backup-simplify]: Simplify 2 into 2 14.612 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 14.612 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 14.612 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.612 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.612 * [taylor]: Taking taylor expansion of 1/2 in J 14.612 * [backup-simplify]: Simplify 1/2 into 1/2 14.612 * [taylor]: Taking taylor expansion of K in J 14.612 * [backup-simplify]: Simplify K into K 14.612 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.612 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.612 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.612 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.612 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.613 * [backup-simplify]: Simplify (- 0) into 0 14.613 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.613 * [taylor]: Taking taylor expansion of (pow J 2) in J 14.613 * [taylor]: Taking taylor expansion of J in J 14.613 * [backup-simplify]: Simplify 0 into 0 14.613 * [backup-simplify]: Simplify 1 into 1 14.613 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 14.614 * [backup-simplify]: Simplify (* 1 1) into 1 14.614 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 14.614 * [backup-simplify]: Simplify (+ 0) into 0 14.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.617 * [backup-simplify]: Simplify (- 0) into 0 14.617 * [backup-simplify]: Simplify (+ 0 0) into 0 14.617 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 14.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 14.620 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 14.621 * [backup-simplify]: Simplify (- 0) into 0 14.621 * [backup-simplify]: Simplify 0 into 0 14.621 * [backup-simplify]: Simplify 0 into 0 14.621 * [backup-simplify]: Simplify 0 into 0 14.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.623 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 14.623 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 14.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))))) into 0 14.625 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 14.626 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 14.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))))) into 0 14.629 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) into 0 14.629 * [backup-simplify]: Simplify (+ 0 0) into 0 14.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 14.631 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 14.632 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 14.634 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))) into 0 14.634 * [taylor]: Taking taylor expansion of 0 in U 14.634 * [backup-simplify]: Simplify 0 into 0 14.634 * [taylor]: Taking taylor expansion of 0 in J 14.634 * [backup-simplify]: Simplify 0 into 0 14.634 * [taylor]: Taking taylor expansion of 0 in J 14.634 * [backup-simplify]: Simplify 0 into 0 14.635 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.636 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.636 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.639 * [backup-simplify]: Simplify (- 0) into 0 14.639 * [backup-simplify]: Simplify (+ 0 0) into 0 14.640 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 14.641 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 14.642 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.644 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.645 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.646 * [backup-simplify]: Simplify (- 0) into 0 14.646 * [backup-simplify]: Simplify (+ 0 0) into 0 14.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 14.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 14.650 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 14.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 14.652 * [backup-simplify]: Simplify (+ 0 0) into 0 14.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 14.653 * [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 14.655 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 14.655 * [taylor]: Taking taylor expansion of 0 in J 14.655 * [backup-simplify]: Simplify 0 into 0 14.655 * [backup-simplify]: Simplify 0 into 0 14.656 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.657 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.657 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.658 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.658 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.659 * [backup-simplify]: Simplify (- 0) into 0 14.659 * [backup-simplify]: Simplify (+ 0 0) into 0 14.660 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 14.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.668 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 14.668 * [backup-simplify]: Simplify (- 0) into 0 14.668 * [backup-simplify]: Simplify 0 into 0 14.668 * [backup-simplify]: Simplify 0 into 0 14.668 * [backup-simplify]: Simplify (* -1 (* 1 (* (/ 1 (/ 1 U)) 1))) into (* -1 U) 14.669 * [backup-simplify]: Simplify (* (* (* -2 (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 2))) (/ 1 (- J))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 14.669 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (K U J) around 0 14.669 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 14.669 * [taylor]: Taking taylor expansion of 2 in J 14.669 * [backup-simplify]: Simplify 2 into 2 14.669 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 14.669 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 14.669 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.669 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.669 * [taylor]: Taking taylor expansion of -1/2 in J 14.669 * [backup-simplify]: Simplify -1/2 into -1/2 14.669 * [taylor]: Taking taylor expansion of K in J 14.669 * [backup-simplify]: Simplify K into K 14.669 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.669 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.669 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.670 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 14.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 14.670 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 14.670 * [taylor]: Taking taylor expansion of (* 1 1) in J 14.670 * [taylor]: Taking taylor expansion of 1 in J 14.670 * [backup-simplify]: Simplify 1 into 1 14.670 * [taylor]: Taking taylor expansion of 1 in J 14.670 * [backup-simplify]: Simplify 1 into 1 14.670 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 14.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 14.670 * [taylor]: Taking taylor expansion of 1/2 in J 14.670 * [backup-simplify]: Simplify 1/2 into 1/2 14.670 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 14.670 * [taylor]: Taking taylor expansion of J in J 14.670 * [backup-simplify]: Simplify 0 into 0 14.670 * [backup-simplify]: Simplify 1 into 1 14.670 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 14.670 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.670 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.670 * [taylor]: Taking taylor expansion of -1/2 in J 14.670 * [backup-simplify]: Simplify -1/2 into -1/2 14.670 * [taylor]: Taking taylor expansion of K in J 14.670 * [backup-simplify]: Simplify K into K 14.670 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.670 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.670 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.670 * [taylor]: Taking taylor expansion of U in J 14.670 * [backup-simplify]: Simplify U into U 14.671 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.671 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.671 * [backup-simplify]: Simplify (- 0) into 0 14.671 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.671 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.671 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 14.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 14.671 * [taylor]: Taking taylor expansion of 1/2 in J 14.671 * [backup-simplify]: Simplify 1/2 into 1/2 14.672 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 14.672 * [taylor]: Taking taylor expansion of J in J 14.672 * [backup-simplify]: Simplify 0 into 0 14.672 * [backup-simplify]: Simplify 1 into 1 14.672 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 14.672 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.672 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.672 * [taylor]: Taking taylor expansion of -1/2 in J 14.672 * [backup-simplify]: Simplify -1/2 into -1/2 14.672 * [taylor]: Taking taylor expansion of K in J 14.672 * [backup-simplify]: Simplify K into K 14.672 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.672 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.672 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.672 * [taylor]: Taking taylor expansion of U in J 14.672 * [backup-simplify]: Simplify U into U 14.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.672 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.673 * [backup-simplify]: Simplify (- 0) into 0 14.673 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.673 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.673 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 14.673 * [backup-simplify]: Simplify (* 1 1) into 1 14.673 * [backup-simplify]: Simplify (+ 1 0) into 1 14.674 * [backup-simplify]: Simplify (sqrt 1) into 1 14.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.674 * [backup-simplify]: Simplify (+ 0 0) into 0 14.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.675 * [taylor]: Taking taylor expansion of J in J 14.675 * [backup-simplify]: Simplify 0 into 0 14.675 * [backup-simplify]: Simplify 1 into 1 14.675 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.675 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.675 * [backup-simplify]: Simplify (- 0) into 0 14.675 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.675 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.675 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.675 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 14.675 * [taylor]: Taking taylor expansion of 2 in U 14.675 * [backup-simplify]: Simplify 2 into 2 14.675 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 14.675 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 14.675 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.675 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.675 * [taylor]: Taking taylor expansion of -1/2 in U 14.675 * [backup-simplify]: Simplify -1/2 into -1/2 14.676 * [taylor]: Taking taylor expansion of K in U 14.676 * [backup-simplify]: Simplify K into K 14.676 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.676 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.676 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.676 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 14.676 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 14.676 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 14.676 * [taylor]: Taking taylor expansion of (* 1 1) in U 14.676 * [taylor]: Taking taylor expansion of 1 in U 14.676 * [backup-simplify]: Simplify 1 into 1 14.676 * [taylor]: Taking taylor expansion of 1 in U 14.676 * [backup-simplify]: Simplify 1 into 1 14.676 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 14.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 14.676 * [taylor]: Taking taylor expansion of 1/2 in U 14.676 * [backup-simplify]: Simplify 1/2 into 1/2 14.676 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.676 * [taylor]: Taking taylor expansion of J in U 14.676 * [backup-simplify]: Simplify J into J 14.676 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.676 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.676 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.676 * [taylor]: Taking taylor expansion of -1/2 in U 14.676 * [backup-simplify]: Simplify -1/2 into -1/2 14.676 * [taylor]: Taking taylor expansion of K in U 14.676 * [backup-simplify]: Simplify K into K 14.676 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.676 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.676 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.676 * [taylor]: Taking taylor expansion of U in U 14.676 * [backup-simplify]: Simplify 0 into 0 14.676 * [backup-simplify]: Simplify 1 into 1 14.676 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.676 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.677 * [backup-simplify]: Simplify (- 0) into 0 14.677 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.677 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.677 * [backup-simplify]: Simplify (+ 0) into 0 14.677 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.677 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.678 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.678 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.678 * [backup-simplify]: Simplify (- 0) into 0 14.679 * [backup-simplify]: Simplify (+ 0 0) into 0 14.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.679 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 14.679 * [taylor]: Taking taylor expansion of 1/2 in U 14.679 * [backup-simplify]: Simplify 1/2 into 1/2 14.679 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.679 * [taylor]: Taking taylor expansion of J in U 14.679 * [backup-simplify]: Simplify J into J 14.679 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.679 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.679 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.679 * [taylor]: Taking taylor expansion of -1/2 in U 14.679 * [backup-simplify]: Simplify -1/2 into -1/2 14.679 * [taylor]: Taking taylor expansion of K in U 14.679 * [backup-simplify]: Simplify K into K 14.679 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.679 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.679 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.679 * [taylor]: Taking taylor expansion of U in U 14.679 * [backup-simplify]: Simplify 0 into 0 14.679 * [backup-simplify]: Simplify 1 into 1 14.679 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.679 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.680 * [backup-simplify]: Simplify (- 0) into 0 14.680 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.680 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.680 * [backup-simplify]: Simplify (+ 0) into 0 14.680 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.680 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.681 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.682 * [backup-simplify]: Simplify (- 0) into 0 14.682 * [backup-simplify]: Simplify (+ 0 0) into 0 14.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.682 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.682 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.682 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.682 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 14.683 * [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))) 14.683 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.683 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.684 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.684 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.684 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.685 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.685 * [backup-simplify]: Simplify (- 0) into 0 14.685 * [backup-simplify]: Simplify (+ 0 0) into 0 14.686 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.686 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 14.687 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.687 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.687 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.688 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.688 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.688 * [backup-simplify]: Simplify (- 0) into 0 14.689 * [backup-simplify]: Simplify (+ 0 0) into 0 14.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.689 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 14.690 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 14.690 * [backup-simplify]: Simplify (+ 0 0) into 0 14.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 14.690 * [taylor]: Taking taylor expansion of J in U 14.690 * [backup-simplify]: Simplify J into J 14.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.690 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.691 * [backup-simplify]: Simplify (- 0) into 0 14.691 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.691 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 14.691 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 14.691 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 14.691 * [taylor]: Taking taylor expansion of 2 in K 14.691 * [backup-simplify]: Simplify 2 into 2 14.691 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 14.691 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 14.691 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.691 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.691 * [taylor]: Taking taylor expansion of -1/2 in K 14.691 * [backup-simplify]: Simplify -1/2 into -1/2 14.691 * [taylor]: Taking taylor expansion of K in K 14.691 * [backup-simplify]: Simplify 0 into 0 14.691 * [backup-simplify]: Simplify 1 into 1 14.691 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.691 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.691 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 14.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 14.691 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 14.691 * [taylor]: Taking taylor expansion of (* 1 1) in K 14.691 * [taylor]: Taking taylor expansion of 1 in K 14.691 * [backup-simplify]: Simplify 1 into 1 14.691 * [taylor]: Taking taylor expansion of 1 in K 14.691 * [backup-simplify]: Simplify 1 into 1 14.691 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 14.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 14.692 * [taylor]: Taking taylor expansion of 1/2 in K 14.692 * [backup-simplify]: Simplify 1/2 into 1/2 14.692 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 14.692 * [taylor]: Taking taylor expansion of J in K 14.692 * [backup-simplify]: Simplify J into J 14.692 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 14.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.692 * [taylor]: Taking taylor expansion of -1/2 in K 14.692 * [backup-simplify]: Simplify -1/2 into -1/2 14.692 * [taylor]: Taking taylor expansion of K in K 14.692 * [backup-simplify]: Simplify 0 into 0 14.692 * [backup-simplify]: Simplify 1 into 1 14.692 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.692 * [taylor]: Taking taylor expansion of U in K 14.692 * [backup-simplify]: Simplify U into U 14.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.692 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 14.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 14.692 * [taylor]: Taking taylor expansion of 1/2 in K 14.692 * [backup-simplify]: Simplify 1/2 into 1/2 14.692 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 14.692 * [taylor]: Taking taylor expansion of J in K 14.692 * [backup-simplify]: Simplify J into J 14.692 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 14.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.692 * [taylor]: Taking taylor expansion of -1/2 in K 14.692 * [backup-simplify]: Simplify -1/2 into -1/2 14.692 * [taylor]: Taking taylor expansion of K in K 14.692 * [backup-simplify]: Simplify 0 into 0 14.692 * [backup-simplify]: Simplify 1 into 1 14.693 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.693 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.693 * [taylor]: Taking taylor expansion of U in K 14.693 * [backup-simplify]: Simplify U into U 14.693 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.693 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 14.693 * [backup-simplify]: Simplify (* 1 1) into 1 14.693 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 14.693 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 14.693 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 14.694 * [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))))) 14.694 * [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)))))) 14.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.694 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 14.695 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 14.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 14.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 14.695 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 14.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 14.696 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 14.696 * [backup-simplify]: Simplify (+ 0 0) into 0 14.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 14.696 * [taylor]: Taking taylor expansion of J in K 14.696 * [backup-simplify]: Simplify J into J 14.697 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 14.697 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 14.697 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 14.697 * [taylor]: Taking taylor expansion of 2 in K 14.697 * [backup-simplify]: Simplify 2 into 2 14.697 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 14.697 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 14.697 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.697 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.697 * [taylor]: Taking taylor expansion of -1/2 in K 14.697 * [backup-simplify]: Simplify -1/2 into -1/2 14.697 * [taylor]: Taking taylor expansion of K in K 14.697 * [backup-simplify]: Simplify 0 into 0 14.697 * [backup-simplify]: Simplify 1 into 1 14.697 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.697 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.697 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 14.698 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 14.698 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 14.698 * [taylor]: Taking taylor expansion of (* 1 1) in K 14.698 * [taylor]: Taking taylor expansion of 1 in K 14.698 * [backup-simplify]: Simplify 1 into 1 14.698 * [taylor]: Taking taylor expansion of 1 in K 14.698 * [backup-simplify]: Simplify 1 into 1 14.698 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 14.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 14.698 * [taylor]: Taking taylor expansion of 1/2 in K 14.698 * [backup-simplify]: Simplify 1/2 into 1/2 14.698 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 14.698 * [taylor]: Taking taylor expansion of J in K 14.698 * [backup-simplify]: Simplify J into J 14.698 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 14.698 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.698 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.698 * [taylor]: Taking taylor expansion of -1/2 in K 14.698 * [backup-simplify]: Simplify -1/2 into -1/2 14.698 * [taylor]: Taking taylor expansion of K in K 14.698 * [backup-simplify]: Simplify 0 into 0 14.698 * [backup-simplify]: Simplify 1 into 1 14.698 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.698 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.698 * [taylor]: Taking taylor expansion of U in K 14.698 * [backup-simplify]: Simplify U into U 14.698 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.698 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 14.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 14.698 * [taylor]: Taking taylor expansion of 1/2 in K 14.698 * [backup-simplify]: Simplify 1/2 into 1/2 14.698 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 14.698 * [taylor]: Taking taylor expansion of J in K 14.698 * [backup-simplify]: Simplify J into J 14.698 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 14.698 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.698 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.699 * [taylor]: Taking taylor expansion of -1/2 in K 14.699 * [backup-simplify]: Simplify -1/2 into -1/2 14.699 * [taylor]: Taking taylor expansion of K in K 14.699 * [backup-simplify]: Simplify 0 into 0 14.699 * [backup-simplify]: Simplify 1 into 1 14.699 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.699 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.699 * [taylor]: Taking taylor expansion of U in K 14.699 * [backup-simplify]: Simplify U into U 14.699 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.699 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 14.699 * [backup-simplify]: Simplify (* 1 1) into 1 14.699 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 14.699 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 14.700 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 14.700 * [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))))) 14.700 * [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)))))) 14.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 14.701 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 14.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 14.702 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 14.702 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 14.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 14.703 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 14.703 * [backup-simplify]: Simplify (+ 0 0) into 0 14.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 14.704 * [taylor]: Taking taylor expansion of J in K 14.704 * [backup-simplify]: Simplify J into J 14.704 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 14.705 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 14.705 * [backup-simplify]: Simplify (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 14.705 * [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 14.705 * [taylor]: Taking taylor expansion of 2 in U 14.705 * [backup-simplify]: Simplify 2 into 2 14.705 * [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 14.706 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 14.706 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.706 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.706 * [taylor]: Taking taylor expansion of -1/2 in U 14.706 * [backup-simplify]: Simplify -1/2 into -1/2 14.706 * [taylor]: Taking taylor expansion of K in U 14.706 * [backup-simplify]: Simplify K into K 14.706 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.706 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.706 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.706 * [taylor]: Taking taylor expansion of J in U 14.706 * [backup-simplify]: Simplify J into J 14.706 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.706 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.707 * [backup-simplify]: Simplify (- 0) into 0 14.707 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.707 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 14.707 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 14.707 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 14.707 * [taylor]: Taking taylor expansion of 1 in U 14.707 * [backup-simplify]: Simplify 1 into 1 14.707 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 14.707 * [taylor]: Taking taylor expansion of 1/4 in U 14.707 * [backup-simplify]: Simplify 1/4 into 1/4 14.707 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 14.707 * [taylor]: Taking taylor expansion of (pow J 2) in U 14.707 * [taylor]: Taking taylor expansion of J in U 14.707 * [backup-simplify]: Simplify J into J 14.707 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 14.707 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 14.707 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.707 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.707 * [taylor]: Taking taylor expansion of -1/2 in U 14.707 * [backup-simplify]: Simplify -1/2 into -1/2 14.707 * [taylor]: Taking taylor expansion of K in U 14.707 * [backup-simplify]: Simplify K into K 14.707 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.708 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.708 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.708 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.708 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.708 * [backup-simplify]: Simplify (- 0) into 0 14.708 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.708 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.708 * [taylor]: Taking taylor expansion of U in U 14.708 * [backup-simplify]: Simplify 0 into 0 14.709 * [backup-simplify]: Simplify 1 into 1 14.709 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.709 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 14.709 * [backup-simplify]: Simplify (* 1 1) into 1 14.709 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 14.710 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 14.710 * [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))) 14.710 * [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))) 14.710 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.710 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 14.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.712 * [backup-simplify]: Simplify (+ 0) into 0 14.713 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.713 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.714 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.715 * [backup-simplify]: Simplify (- 0) into 0 14.715 * [backup-simplify]: Simplify (+ 0 0) into 0 14.716 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 14.716 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 14.716 * [backup-simplify]: 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 14.717 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 14.717 * [backup-simplify]: Simplify (+ 0 0) into 0 14.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 14.717 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 14.718 * [backup-simplify]: Simplify (* 2 1/2) into 1 14.718 * [taylor]: Taking taylor expansion of 1 in J 14.718 * [backup-simplify]: Simplify 1 into 1 14.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 14.718 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (/ 0 J)))) into 0 14.719 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 14.719 * [taylor]: Taking taylor expansion of 0 in U 14.719 * [backup-simplify]: Simplify 0 into 0 14.719 * [backup-simplify]: Simplify (+ 0) into 0 14.720 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.720 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.721 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.721 * [backup-simplify]: Simplify (- 0) into 0 14.721 * [backup-simplify]: Simplify (+ 0 0) into 0 14.721 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 14.721 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 14.722 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 14.722 * [taylor]: Taking taylor expansion of 0 in J 14.722 * [backup-simplify]: Simplify 0 into 0 14.722 * [backup-simplify]: Simplify 1 into 1 14.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 14.723 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 14.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (* (cos (/ -1/2 K)) U))))) into 0 14.724 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 14.724 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 14.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (* (cos (/ -1/2 K)) U))))) into 0 14.725 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 14.725 * [backup-simplify]: Simplify (+ 0 0) into 0 14.726 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 14.727 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 14.727 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (/ 0 J)) (* 0 (/ 0 J)))) into 0 14.728 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))))) into 0 14.728 * [taylor]: Taking taylor expansion of 0 in U 14.728 * [backup-simplify]: Simplify 0 into 0 14.728 * [taylor]: Taking taylor expansion of 0 in J 14.728 * [backup-simplify]: Simplify 0 into 0 14.728 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 14.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.729 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.730 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.730 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.731 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.731 * [backup-simplify]: Simplify (- 0) into 0 14.731 * [backup-simplify]: Simplify (+ 0 0) into 0 14.732 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 14.732 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 14.732 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 14.733 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 14.733 * [backup-simplify]: Simplify (+ 1 0) into 1 14.734 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 14.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.735 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.736 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.736 * [backup-simplify]: Simplify (- 0) into 0 14.737 * [backup-simplify]: Simplify (+ 0 0) into 0 14.737 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 14.737 * [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)) 14.738 * [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))) 14.738 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 14.738 * [taylor]: Taking taylor expansion of 2 in J 14.738 * [backup-simplify]: Simplify 2 into 2 14.738 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 14.738 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 14.738 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.738 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.738 * [taylor]: Taking taylor expansion of -1/2 in J 14.738 * [backup-simplify]: Simplify -1/2 into -1/2 14.738 * [taylor]: Taking taylor expansion of K in J 14.738 * [backup-simplify]: Simplify K into K 14.738 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.738 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.738 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.738 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.738 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.738 * [backup-simplify]: Simplify (- 0) into 0 14.738 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.738 * [taylor]: Taking taylor expansion of (pow J 2) in J 14.739 * [taylor]: Taking taylor expansion of J in J 14.739 * [backup-simplify]: Simplify 0 into 0 14.739 * [backup-simplify]: Simplify 1 into 1 14.739 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 14.739 * [backup-simplify]: Simplify (* 1 1) into 1 14.739 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 14.739 * [backup-simplify]: Simplify (+ 0) into 0 14.740 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.740 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.740 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.741 * [backup-simplify]: Simplify (- 0) into 0 14.741 * [backup-simplify]: Simplify (+ 0 0) into 0 14.741 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 14.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 14.742 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 14.742 * [backup-simplify]: Simplify 0 into 0 14.742 * [backup-simplify]: Simplify 0 into 0 14.743 * [backup-simplify]: Simplify 0 into 0 14.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.744 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0 14.744 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 14.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 14.746 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0 14.747 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 14.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 14.749 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) into 0 14.750 * [backup-simplify]: Simplify (+ 0 0) into 0 14.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 14.752 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))))) into 0 14.753 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 14.755 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))))) into 0 14.755 * [taylor]: Taking taylor expansion of 0 in U 14.755 * [backup-simplify]: Simplify 0 into 0 14.755 * [taylor]: Taking taylor expansion of 0 in J 14.755 * [backup-simplify]: Simplify 0 into 0 14.755 * [taylor]: Taking taylor expansion of 0 in J 14.755 * [backup-simplify]: Simplify 0 into 0 14.756 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 14.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.758 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.759 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.759 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.761 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.762 * [backup-simplify]: Simplify (- 0) into 0 14.762 * [backup-simplify]: Simplify (+ 0 0) into 0 14.763 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 14.764 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.764 * [backup-simplify]: 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 14.766 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 14.766 * [backup-simplify]: Simplify (+ 0 0) into 0 14.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 14.768 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.769 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.769 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.772 * [backup-simplify]: Simplify (- 0) into 0 14.772 * [backup-simplify]: Simplify (+ 0 0) into 0 14.772 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 14.773 * [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 14.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 14.774 * [taylor]: Taking taylor expansion of 0 in J 14.774 * [backup-simplify]: Simplify 0 into 0 14.774 * [backup-simplify]: Simplify 0 into 0 14.776 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.776 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.777 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.777 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.777 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.778 * [backup-simplify]: Simplify (- 0) into 0 14.778 * [backup-simplify]: Simplify (+ 0 0) into 0 14.778 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 14.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.784 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 14.784 * [backup-simplify]: Simplify 0 into 0 14.784 * [backup-simplify]: Simplify 0 into 0 14.784 * [backup-simplify]: Simplify (* 1 (* 1 (* (/ 1 (/ 1 (- U))) 1))) into (* -1 U) 14.784 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 14.784 * [backup-simplify]: Simplify (/ (/ (/ U J) (cos (/ K 2))) 2) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 14.784 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 14.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 14.784 * [taylor]: Taking taylor expansion of 1/2 in K 14.784 * [backup-simplify]: Simplify 1/2 into 1/2 14.784 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 14.784 * [taylor]: Taking taylor expansion of U in K 14.784 * [backup-simplify]: Simplify U into U 14.784 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 14.784 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.784 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.784 * [taylor]: Taking taylor expansion of 1/2 in K 14.784 * [backup-simplify]: Simplify 1/2 into 1/2 14.784 * [taylor]: Taking taylor expansion of K in K 14.784 * [backup-simplify]: Simplify 0 into 0 14.784 * [backup-simplify]: Simplify 1 into 1 14.784 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.785 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.785 * [taylor]: Taking taylor expansion of J in K 14.785 * [backup-simplify]: Simplify J into J 14.785 * [backup-simplify]: Simplify (* 1 J) into J 14.785 * [backup-simplify]: Simplify (/ U J) into (/ U J) 14.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 14.785 * [taylor]: Taking taylor expansion of 1/2 in J 14.785 * [backup-simplify]: Simplify 1/2 into 1/2 14.785 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 14.785 * [taylor]: Taking taylor expansion of U in J 14.785 * [backup-simplify]: Simplify U into U 14.785 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.785 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.785 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.785 * [taylor]: Taking taylor expansion of 1/2 in J 14.785 * [backup-simplify]: Simplify 1/2 into 1/2 14.785 * [taylor]: Taking taylor expansion of K in J 14.785 * [backup-simplify]: Simplify K into K 14.785 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.785 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.785 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.785 * [taylor]: Taking taylor expansion of J in J 14.786 * [backup-simplify]: Simplify 0 into 0 14.786 * [backup-simplify]: Simplify 1 into 1 14.786 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.786 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.786 * [backup-simplify]: Simplify (- 0) into 0 14.786 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.786 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.786 * [backup-simplify]: Simplify (+ 0) into 0 14.787 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.788 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.788 * [backup-simplify]: Simplify (- 0) into 0 14.788 * [backup-simplify]: Simplify (+ 0 0) into 0 14.788 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.789 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 14.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 14.789 * [taylor]: Taking taylor expansion of 1/2 in U 14.789 * [backup-simplify]: Simplify 1/2 into 1/2 14.789 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.789 * [taylor]: Taking taylor expansion of U in U 14.789 * [backup-simplify]: Simplify 0 into 0 14.789 * [backup-simplify]: Simplify 1 into 1 14.789 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.789 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.789 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.789 * [taylor]: Taking taylor expansion of 1/2 in U 14.789 * [backup-simplify]: Simplify 1/2 into 1/2 14.789 * [taylor]: Taking taylor expansion of K in U 14.789 * [backup-simplify]: Simplify K into K 14.789 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.789 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.789 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.789 * [taylor]: Taking taylor expansion of J in U 14.789 * [backup-simplify]: Simplify J into J 14.789 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.789 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.789 * [backup-simplify]: Simplify (- 0) into 0 14.789 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.789 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.789 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 14.790 * [taylor]: Taking taylor expansion of 1/2 in U 14.790 * [backup-simplify]: Simplify 1/2 into 1/2 14.790 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.790 * [taylor]: Taking taylor expansion of U in U 14.790 * [backup-simplify]: Simplify 0 into 0 14.790 * [backup-simplify]: Simplify 1 into 1 14.790 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.790 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.790 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.790 * [taylor]: Taking taylor expansion of 1/2 in U 14.790 * [backup-simplify]: Simplify 1/2 into 1/2 14.790 * [taylor]: Taking taylor expansion of K in U 14.790 * [backup-simplify]: Simplify K into K 14.790 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.790 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.790 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.790 * [taylor]: Taking taylor expansion of J in U 14.790 * [backup-simplify]: Simplify J into J 14.790 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.790 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.790 * [backup-simplify]: Simplify (- 0) into 0 14.790 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.790 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.790 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.791 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 14.791 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 14.791 * [taylor]: Taking taylor expansion of 1/2 in J 14.791 * [backup-simplify]: Simplify 1/2 into 1/2 14.791 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.791 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.791 * [taylor]: Taking taylor expansion of 1/2 in J 14.791 * [backup-simplify]: Simplify 1/2 into 1/2 14.791 * [taylor]: Taking taylor expansion of K in J 14.791 * [backup-simplify]: Simplify K into K 14.791 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.791 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.791 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.791 * [taylor]: Taking taylor expansion of J in J 14.791 * [backup-simplify]: Simplify 0 into 0 14.791 * [backup-simplify]: Simplify 1 into 1 14.791 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.791 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.791 * [backup-simplify]: Simplify (- 0) into 0 14.791 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.791 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.792 * [backup-simplify]: Simplify (+ 0) into 0 14.792 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.793 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.793 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.793 * [backup-simplify]: Simplify (- 0) into 0 14.794 * [backup-simplify]: Simplify (+ 0 0) into 0 14.794 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.794 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 14.794 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 14.794 * [taylor]: Taking taylor expansion of 1/2 in K 14.794 * [backup-simplify]: Simplify 1/2 into 1/2 14.794 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.794 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.794 * [taylor]: Taking taylor expansion of 1/2 in K 14.794 * [backup-simplify]: Simplify 1/2 into 1/2 14.794 * [taylor]: Taking taylor expansion of K in K 14.794 * [backup-simplify]: Simplify 0 into 0 14.794 * [backup-simplify]: Simplify 1 into 1 14.795 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.795 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.795 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.795 * [backup-simplify]: Simplify 1/2 into 1/2 14.796 * [backup-simplify]: Simplify (+ 0) into 0 14.796 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.797 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.797 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.797 * [backup-simplify]: Simplify (- 0) into 0 14.798 * [backup-simplify]: Simplify (+ 0 0) into 0 14.798 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 14.798 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 14.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 14.798 * [taylor]: Taking taylor expansion of 0 in J 14.798 * [backup-simplify]: Simplify 0 into 0 14.799 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.799 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.801 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.801 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.801 * [backup-simplify]: Simplify (- 0) into 0 14.802 * [backup-simplify]: Simplify (+ 0 0) into 0 14.802 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.802 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 14.802 * [taylor]: Taking taylor expansion of 0 in K 14.802 * [backup-simplify]: Simplify 0 into 0 14.802 * [backup-simplify]: Simplify 0 into 0 14.803 * [backup-simplify]: Simplify (+ 0) into 0 14.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.803 * [backup-simplify]: Simplify 0 into 0 14.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.804 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.805 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.806 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.806 * [backup-simplify]: Simplify (- 0) into 0 14.806 * [backup-simplify]: Simplify (+ 0 0) into 0 14.806 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 14.807 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 14.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 14.807 * [taylor]: Taking taylor expansion of 0 in J 14.807 * [backup-simplify]: Simplify 0 into 0 14.807 * [taylor]: Taking taylor expansion of 0 in K 14.807 * [backup-simplify]: Simplify 0 into 0 14.807 * [backup-simplify]: Simplify 0 into 0 14.808 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 14.811 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.812 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.813 * [backup-simplify]: Simplify (- 0) into 0 14.813 * [backup-simplify]: Simplify (+ 0 0) into 0 14.814 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.814 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 14.814 * [taylor]: Taking taylor expansion of 0 in K 14.814 * [backup-simplify]: Simplify 0 into 0 14.814 * [backup-simplify]: Simplify 0 into 0 14.814 * [backup-simplify]: Simplify 0 into 0 14.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 14.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 14.817 * [backup-simplify]: Simplify 1/16 into 1/16 14.818 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.819 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 14.822 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.822 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.823 * [backup-simplify]: Simplify (- 0) into 0 14.823 * [backup-simplify]: Simplify (+ 0 0) into 0 14.824 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 14.825 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 14.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 14.826 * [taylor]: Taking taylor expansion of 0 in J 14.826 * [backup-simplify]: Simplify 0 into 0 14.826 * [taylor]: Taking taylor expansion of 0 in K 14.826 * [backup-simplify]: Simplify 0 into 0 14.826 * [backup-simplify]: Simplify 0 into 0 14.826 * [taylor]: Taking taylor expansion of 0 in K 14.826 * [backup-simplify]: Simplify 0 into 0 14.826 * [backup-simplify]: Simplify 0 into 0 14.829 * [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 14.830 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 14.833 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 14.834 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 14.834 * [backup-simplify]: Simplify (- 0) into 0 14.835 * [backup-simplify]: Simplify (+ 0 0) into 0 14.836 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.836 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 14.836 * [taylor]: Taking taylor expansion of 0 in K 14.836 * [backup-simplify]: Simplify 0 into 0 14.836 * [backup-simplify]: Simplify 0 into 0 14.837 * [backup-simplify]: Simplify 0 into 0 14.837 * [backup-simplify]: Simplify 0 into 0 14.837 * [backup-simplify]: Simplify 0 into 0 14.837 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 14.837 * [backup-simplify]: Simplify (/ (/ (/ (/ 1 U) (/ 1 J)) (cos (/ (/ 1 K) 2))) 2) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 14.837 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 14.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 14.837 * [taylor]: Taking taylor expansion of 1/2 in K 14.837 * [backup-simplify]: Simplify 1/2 into 1/2 14.837 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 14.837 * [taylor]: Taking taylor expansion of J in K 14.837 * [backup-simplify]: Simplify J into J 14.838 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 14.838 * [taylor]: Taking taylor expansion of U in K 14.838 * [backup-simplify]: Simplify U into U 14.838 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.838 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.838 * [taylor]: Taking taylor expansion of 1/2 in K 14.838 * [backup-simplify]: Simplify 1/2 into 1/2 14.838 * [taylor]: Taking taylor expansion of K in K 14.838 * [backup-simplify]: Simplify 0 into 0 14.838 * [backup-simplify]: Simplify 1 into 1 14.838 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.838 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.838 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.839 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 14.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 14.839 * [taylor]: Taking taylor expansion of 1/2 in J 14.839 * [backup-simplify]: Simplify 1/2 into 1/2 14.839 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 14.839 * [taylor]: Taking taylor expansion of J in J 14.839 * [backup-simplify]: Simplify 0 into 0 14.839 * [backup-simplify]: Simplify 1 into 1 14.839 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 14.839 * [taylor]: Taking taylor expansion of U in J 14.839 * [backup-simplify]: Simplify U into U 14.839 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.839 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.839 * [taylor]: Taking taylor expansion of 1/2 in J 14.839 * [backup-simplify]: Simplify 1/2 into 1/2 14.839 * [taylor]: Taking taylor expansion of K in J 14.839 * [backup-simplify]: Simplify K into K 14.839 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.839 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.839 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.839 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.839 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.840 * [backup-simplify]: Simplify (- 0) into 0 14.840 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.840 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.840 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 14.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 14.840 * [taylor]: Taking taylor expansion of 1/2 in U 14.840 * [backup-simplify]: Simplify 1/2 into 1/2 14.840 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.840 * [taylor]: Taking taylor expansion of J in U 14.840 * [backup-simplify]: Simplify J into J 14.840 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.840 * [taylor]: Taking taylor expansion of U in U 14.840 * [backup-simplify]: Simplify 0 into 0 14.840 * [backup-simplify]: Simplify 1 into 1 14.840 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.840 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.840 * [taylor]: Taking taylor expansion of 1/2 in U 14.840 * [backup-simplify]: Simplify 1/2 into 1/2 14.840 * [taylor]: Taking taylor expansion of K in U 14.841 * [backup-simplify]: Simplify K into K 14.841 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.841 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.841 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.841 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.841 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.841 * [backup-simplify]: Simplify (- 0) into 0 14.841 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.841 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.842 * [backup-simplify]: Simplify (+ 0) into 0 14.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.843 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.844 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.844 * [backup-simplify]: Simplify (- 0) into 0 14.845 * [backup-simplify]: Simplify (+ 0 0) into 0 14.845 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.845 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 14.845 * [taylor]: Taking taylor expansion of 1/2 in U 14.845 * [backup-simplify]: Simplify 1/2 into 1/2 14.845 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.845 * [taylor]: Taking taylor expansion of J in U 14.845 * [backup-simplify]: Simplify J into J 14.845 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.845 * [taylor]: Taking taylor expansion of U in U 14.845 * [backup-simplify]: Simplify 0 into 0 14.845 * [backup-simplify]: Simplify 1 into 1 14.846 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.846 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.846 * [taylor]: Taking taylor expansion of 1/2 in U 14.846 * [backup-simplify]: Simplify 1/2 into 1/2 14.846 * [taylor]: Taking taylor expansion of K in U 14.846 * [backup-simplify]: Simplify K into K 14.846 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.846 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.846 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.846 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.846 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.846 * [backup-simplify]: Simplify (- 0) into 0 14.847 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.847 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.847 * [backup-simplify]: Simplify (+ 0) into 0 14.848 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.848 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.848 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.849 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.849 * [backup-simplify]: Simplify (- 0) into 0 14.850 * [backup-simplify]: Simplify (+ 0 0) into 0 14.850 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.850 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.851 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 14.851 * [taylor]: Taking taylor expansion of 1/2 in J 14.851 * [backup-simplify]: Simplify 1/2 into 1/2 14.851 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 14.851 * [taylor]: Taking taylor expansion of J in J 14.851 * [backup-simplify]: Simplify 0 into 0 14.851 * [backup-simplify]: Simplify 1 into 1 14.851 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.851 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.851 * [taylor]: Taking taylor expansion of 1/2 in J 14.851 * [backup-simplify]: Simplify 1/2 into 1/2 14.851 * [taylor]: Taking taylor expansion of K in J 14.851 * [backup-simplify]: Simplify K into K 14.851 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.851 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.851 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.851 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.851 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.852 * [backup-simplify]: Simplify (- 0) into 0 14.852 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.852 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 14.852 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 14.852 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 14.852 * [taylor]: Taking taylor expansion of 1/2 in K 14.852 * [backup-simplify]: Simplify 1/2 into 1/2 14.852 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.852 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.852 * [taylor]: Taking taylor expansion of 1/2 in K 14.852 * [backup-simplify]: Simplify 1/2 into 1/2 14.852 * [taylor]: Taking taylor expansion of K in K 14.852 * [backup-simplify]: Simplify 0 into 0 14.852 * [backup-simplify]: Simplify 1 into 1 14.853 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.853 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.853 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 14.853 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 14.854 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.855 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.855 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.856 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.857 * [backup-simplify]: Simplify (- 0) into 0 14.857 * [backup-simplify]: Simplify (+ 0 0) into 0 14.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 14.858 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 14.859 * [taylor]: Taking taylor expansion of 0 in J 14.859 * [backup-simplify]: Simplify 0 into 0 14.859 * [taylor]: Taking taylor expansion of 0 in K 14.859 * [backup-simplify]: Simplify 0 into 0 14.859 * [backup-simplify]: Simplify 0 into 0 14.860 * [backup-simplify]: Simplify (+ 0) into 0 14.860 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.860 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.862 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.862 * [backup-simplify]: Simplify (- 0) into 0 14.862 * [backup-simplify]: Simplify (+ 0 0) into 0 14.863 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 14.863 * [taylor]: Taking taylor expansion of 0 in K 14.863 * [backup-simplify]: Simplify 0 into 0 14.863 * [backup-simplify]: Simplify 0 into 0 14.863 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.864 * [backup-simplify]: Simplify 0 into 0 14.865 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.865 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.867 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.868 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.868 * [backup-simplify]: Simplify (- 0) into 0 14.869 * [backup-simplify]: Simplify (+ 0 0) into 0 14.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 14.870 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 14.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 14.871 * [taylor]: Taking taylor expansion of 0 in J 14.871 * [backup-simplify]: Simplify 0 into 0 14.871 * [taylor]: Taking taylor expansion of 0 in K 14.871 * [backup-simplify]: Simplify 0 into 0 14.871 * [backup-simplify]: Simplify 0 into 0 14.871 * [taylor]: Taking taylor expansion of 0 in K 14.871 * [backup-simplify]: Simplify 0 into 0 14.871 * [backup-simplify]: Simplify 0 into 0 14.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.873 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.873 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.874 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.875 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.875 * [backup-simplify]: Simplify (- 0) into 0 14.875 * [backup-simplify]: Simplify (+ 0 0) into 0 14.876 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 14.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 14.877 * [taylor]: Taking taylor expansion of 0 in K 14.877 * [backup-simplify]: Simplify 0 into 0 14.877 * [backup-simplify]: Simplify 0 into 0 14.877 * [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))) 14.877 * [backup-simplify]: Simplify (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 2) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 14.877 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 14.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 14.878 * [taylor]: Taking taylor expansion of 1/2 in K 14.878 * [backup-simplify]: Simplify 1/2 into 1/2 14.878 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 14.878 * [taylor]: Taking taylor expansion of J in K 14.878 * [backup-simplify]: Simplify J into J 14.878 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 14.878 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.878 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.878 * [taylor]: Taking taylor expansion of -1/2 in K 14.878 * [backup-simplify]: Simplify -1/2 into -1/2 14.878 * [taylor]: Taking taylor expansion of K in K 14.878 * [backup-simplify]: Simplify 0 into 0 14.878 * [backup-simplify]: Simplify 1 into 1 14.878 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.879 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.879 * [taylor]: Taking taylor expansion of U in K 14.879 * [backup-simplify]: Simplify U into U 14.879 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.879 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 14.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 14.879 * [taylor]: Taking taylor expansion of 1/2 in J 14.879 * [backup-simplify]: Simplify 1/2 into 1/2 14.879 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 14.879 * [taylor]: Taking taylor expansion of J in J 14.879 * [backup-simplify]: Simplify 0 into 0 14.879 * [backup-simplify]: Simplify 1 into 1 14.879 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 14.879 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.879 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.879 * [taylor]: Taking taylor expansion of -1/2 in J 14.879 * [backup-simplify]: Simplify -1/2 into -1/2 14.879 * [taylor]: Taking taylor expansion of K in J 14.879 * [backup-simplify]: Simplify K into K 14.879 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.879 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.879 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.879 * [taylor]: Taking taylor expansion of U in J 14.879 * [backup-simplify]: Simplify U into U 14.879 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.880 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.880 * [backup-simplify]: Simplify (- 0) into 0 14.880 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.880 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.880 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 14.880 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 14.880 * [taylor]: Taking taylor expansion of 1/2 in U 14.880 * [backup-simplify]: Simplify 1/2 into 1/2 14.880 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.880 * [taylor]: Taking taylor expansion of J in U 14.880 * [backup-simplify]: Simplify J into J 14.880 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.881 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.881 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.881 * [taylor]: Taking taylor expansion of -1/2 in U 14.881 * [backup-simplify]: Simplify -1/2 into -1/2 14.881 * [taylor]: Taking taylor expansion of K in U 14.881 * [backup-simplify]: Simplify K into K 14.881 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.881 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.881 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.881 * [taylor]: Taking taylor expansion of U in U 14.881 * [backup-simplify]: Simplify 0 into 0 14.881 * [backup-simplify]: Simplify 1 into 1 14.881 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.881 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.881 * [backup-simplify]: Simplify (- 0) into 0 14.882 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.882 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.882 * [backup-simplify]: Simplify (+ 0) into 0 14.883 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.883 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.884 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.884 * [backup-simplify]: Simplify (- 0) into 0 14.885 * [backup-simplify]: Simplify (+ 0 0) into 0 14.886 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.886 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 14.886 * [taylor]: Taking taylor expansion of 1/2 in U 14.886 * [backup-simplify]: Simplify 1/2 into 1/2 14.886 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.886 * [taylor]: Taking taylor expansion of J in U 14.886 * [backup-simplify]: Simplify J into J 14.886 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.886 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.886 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.886 * [taylor]: Taking taylor expansion of -1/2 in U 14.886 * [backup-simplify]: Simplify -1/2 into -1/2 14.886 * [taylor]: Taking taylor expansion of K in U 14.886 * [backup-simplify]: Simplify K into K 14.886 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.886 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.886 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.886 * [taylor]: Taking taylor expansion of U in U 14.886 * [backup-simplify]: Simplify 0 into 0 14.886 * [backup-simplify]: Simplify 1 into 1 14.886 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.887 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.887 * [backup-simplify]: Simplify (- 0) into 0 14.887 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.887 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.887 * [backup-simplify]: Simplify (+ 0) into 0 14.888 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.888 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.890 * [backup-simplify]: Simplify (- 0) into 0 14.890 * [backup-simplify]: Simplify (+ 0 0) into 0 14.891 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.891 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.891 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 14.891 * [taylor]: Taking taylor expansion of 1/2 in J 14.891 * [backup-simplify]: Simplify 1/2 into 1/2 14.891 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 14.891 * [taylor]: Taking taylor expansion of J in J 14.891 * [backup-simplify]: Simplify 0 into 0 14.891 * [backup-simplify]: Simplify 1 into 1 14.891 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.891 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.891 * [taylor]: Taking taylor expansion of -1/2 in J 14.891 * [backup-simplify]: Simplify -1/2 into -1/2 14.891 * [taylor]: Taking taylor expansion of K in J 14.891 * [backup-simplify]: Simplify K into K 14.891 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.892 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.892 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.892 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.892 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.892 * [backup-simplify]: Simplify (- 0) into 0 14.892 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.892 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 14.893 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 14.893 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 14.893 * [taylor]: Taking taylor expansion of 1/2 in K 14.893 * [backup-simplify]: Simplify 1/2 into 1/2 14.893 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.893 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.893 * [taylor]: Taking taylor expansion of -1/2 in K 14.893 * [backup-simplify]: Simplify -1/2 into -1/2 14.893 * [taylor]: Taking taylor expansion of K in K 14.893 * [backup-simplify]: Simplify 0 into 0 14.893 * [backup-simplify]: Simplify 1 into 1 14.893 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.893 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.893 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 14.894 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 14.895 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.895 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.895 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.896 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.897 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.897 * [backup-simplify]: Simplify (- 0) into 0 14.898 * [backup-simplify]: Simplify (+ 0 0) into 0 14.898 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.899 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 14.899 * [taylor]: Taking taylor expansion of 0 in J 14.899 * [backup-simplify]: Simplify 0 into 0 14.899 * [taylor]: Taking taylor expansion of 0 in K 14.899 * [backup-simplify]: Simplify 0 into 0 14.899 * [backup-simplify]: Simplify 0 into 0 14.900 * [backup-simplify]: Simplify (+ 0) into 0 14.900 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.901 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.902 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.902 * [backup-simplify]: Simplify (- 0) into 0 14.903 * [backup-simplify]: Simplify (+ 0 0) into 0 14.903 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 14.904 * [taylor]: Taking taylor expansion of 0 in K 14.904 * [backup-simplify]: Simplify 0 into 0 14.904 * [backup-simplify]: Simplify 0 into 0 14.904 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.904 * [backup-simplify]: Simplify 0 into 0 14.905 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.906 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.906 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.908 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.909 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.909 * [backup-simplify]: Simplify (- 0) into 0 14.910 * [backup-simplify]: Simplify (+ 0 0) into 0 14.910 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.911 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 14.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 14.912 * [taylor]: Taking taylor expansion of 0 in J 14.912 * [backup-simplify]: Simplify 0 into 0 14.912 * [taylor]: Taking taylor expansion of 0 in K 14.912 * [backup-simplify]: Simplify 0 into 0 14.912 * [backup-simplify]: Simplify 0 into 0 14.912 * [taylor]: Taking taylor expansion of 0 in K 14.912 * [backup-simplify]: Simplify 0 into 0 14.912 * [backup-simplify]: Simplify 0 into 0 14.913 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.914 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.915 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.915 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.916 * [backup-simplify]: Simplify (- 0) into 0 14.916 * [backup-simplify]: Simplify (+ 0 0) into 0 14.917 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 14.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 14.922 * [taylor]: Taking taylor expansion of 0 in K 14.922 * [backup-simplify]: Simplify 0 into 0 14.922 * [backup-simplify]: Simplify 0 into 0 14.923 * [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))) 14.923 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 14.923 * [backup-simplify]: Simplify (/ (/ U J) (cos (/ K 2))) into (/ U (* (cos (* 1/2 K)) J)) 14.923 * [approximate]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in (U J K) around 0 14.923 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 14.923 * [taylor]: Taking taylor expansion of U in K 14.923 * [backup-simplify]: Simplify U into U 14.923 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 14.923 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.923 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.923 * [taylor]: Taking taylor expansion of 1/2 in K 14.923 * [backup-simplify]: Simplify 1/2 into 1/2 14.923 * [taylor]: Taking taylor expansion of K in K 14.923 * [backup-simplify]: Simplify 0 into 0 14.923 * [backup-simplify]: Simplify 1 into 1 14.924 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.925 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.925 * [taylor]: Taking taylor expansion of J in K 14.925 * [backup-simplify]: Simplify J into J 14.925 * [backup-simplify]: Simplify (* 1 J) into J 14.925 * [backup-simplify]: Simplify (/ U J) into (/ U J) 14.925 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 14.925 * [taylor]: Taking taylor expansion of U in J 14.925 * [backup-simplify]: Simplify U into U 14.925 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.925 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.925 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.925 * [taylor]: Taking taylor expansion of 1/2 in J 14.925 * [backup-simplify]: Simplify 1/2 into 1/2 14.925 * [taylor]: Taking taylor expansion of K in J 14.925 * [backup-simplify]: Simplify K into K 14.925 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.925 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.925 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.925 * [taylor]: Taking taylor expansion of J in J 14.925 * [backup-simplify]: Simplify 0 into 0 14.925 * [backup-simplify]: Simplify 1 into 1 14.925 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.925 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.926 * [backup-simplify]: Simplify (- 0) into 0 14.926 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.926 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.926 * [backup-simplify]: Simplify (+ 0) into 0 14.926 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.927 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.927 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.928 * [backup-simplify]: Simplify (- 0) into 0 14.928 * [backup-simplify]: Simplify (+ 0 0) into 0 14.928 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.928 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 14.928 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.928 * [taylor]: Taking taylor expansion of U in U 14.928 * [backup-simplify]: Simplify 0 into 0 14.928 * [backup-simplify]: Simplify 1 into 1 14.928 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.928 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.928 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.928 * [taylor]: Taking taylor expansion of 1/2 in U 14.928 * [backup-simplify]: Simplify 1/2 into 1/2 14.928 * [taylor]: Taking taylor expansion of K in U 14.928 * [backup-simplify]: Simplify K into K 14.928 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.929 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.929 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.929 * [taylor]: Taking taylor expansion of J in U 14.929 * [backup-simplify]: Simplify J into J 14.929 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.929 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.929 * [backup-simplify]: Simplify (- 0) into 0 14.929 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.929 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.929 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.929 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.929 * [taylor]: Taking taylor expansion of U in U 14.929 * [backup-simplify]: Simplify 0 into 0 14.929 * [backup-simplify]: Simplify 1 into 1 14.929 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.929 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.929 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.929 * [taylor]: Taking taylor expansion of 1/2 in U 14.929 * [backup-simplify]: Simplify 1/2 into 1/2 14.929 * [taylor]: Taking taylor expansion of K in U 14.929 * [backup-simplify]: Simplify K into K 14.929 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.929 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.929 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.929 * [taylor]: Taking taylor expansion of J in U 14.929 * [backup-simplify]: Simplify J into J 14.929 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.930 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.930 * [backup-simplify]: Simplify (- 0) into 0 14.930 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.930 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.930 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.930 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 14.930 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.930 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.930 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.930 * [taylor]: Taking taylor expansion of 1/2 in J 14.930 * [backup-simplify]: Simplify 1/2 into 1/2 14.930 * [taylor]: Taking taylor expansion of K in J 14.930 * [backup-simplify]: Simplify K into K 14.930 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.930 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.930 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.930 * [taylor]: Taking taylor expansion of J in J 14.930 * [backup-simplify]: Simplify 0 into 0 14.930 * [backup-simplify]: Simplify 1 into 1 14.930 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.930 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.931 * [backup-simplify]: Simplify (- 0) into 0 14.931 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.931 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.931 * [backup-simplify]: Simplify (+ 0) into 0 14.931 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.933 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.933 * [backup-simplify]: Simplify (- 0) into 0 14.933 * [backup-simplify]: Simplify (+ 0 0) into 0 14.933 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.933 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 14.933 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 14.933 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.933 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.933 * [taylor]: Taking taylor expansion of 1/2 in K 14.933 * [backup-simplify]: Simplify 1/2 into 1/2 14.933 * [taylor]: Taking taylor expansion of K in K 14.934 * [backup-simplify]: Simplify 0 into 0 14.934 * [backup-simplify]: Simplify 1 into 1 14.934 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.934 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.935 * [backup-simplify]: Simplify (/ 1 1) into 1 14.935 * [backup-simplify]: Simplify 1 into 1 14.935 * [backup-simplify]: Simplify (+ 0) into 0 14.935 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.936 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.937 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.937 * [backup-simplify]: Simplify (- 0) into 0 14.937 * [backup-simplify]: Simplify (+ 0 0) into 0 14.937 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 14.937 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 14.937 * [taylor]: Taking taylor expansion of 0 in J 14.937 * [backup-simplify]: Simplify 0 into 0 14.938 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.938 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.939 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.940 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.940 * [backup-simplify]: Simplify (- 0) into 0 14.940 * [backup-simplify]: Simplify (+ 0 0) into 0 14.941 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 14.941 * [taylor]: Taking taylor expansion of 0 in K 14.941 * [backup-simplify]: Simplify 0 into 0 14.941 * [backup-simplify]: Simplify 0 into 0 14.941 * [backup-simplify]: Simplify (+ 0) into 0 14.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.942 * [backup-simplify]: Simplify 0 into 0 14.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.943 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.944 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.944 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.944 * [backup-simplify]: Simplify (- 0) into 0 14.945 * [backup-simplify]: Simplify (+ 0 0) into 0 14.945 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 14.945 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 14.945 * [taylor]: Taking taylor expansion of 0 in J 14.945 * [backup-simplify]: Simplify 0 into 0 14.945 * [taylor]: Taking taylor expansion of 0 in K 14.945 * [backup-simplify]: Simplify 0 into 0 14.945 * [backup-simplify]: Simplify 0 into 0 14.946 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.947 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 14.948 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.949 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.949 * [backup-simplify]: Simplify (- 0) into 0 14.949 * [backup-simplify]: Simplify (+ 0 0) into 0 14.950 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 14.950 * [taylor]: Taking taylor expansion of 0 in K 14.950 * [backup-simplify]: Simplify 0 into 0 14.950 * [backup-simplify]: Simplify 0 into 0 14.950 * [backup-simplify]: Simplify 0 into 0 14.951 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 14.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/8 14.951 * [backup-simplify]: Simplify 1/8 into 1/8 14.952 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.953 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 14.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.955 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.955 * [backup-simplify]: Simplify (- 0) into 0 14.955 * [backup-simplify]: Simplify (+ 0 0) into 0 14.956 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 14.956 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 14.956 * [taylor]: Taking taylor expansion of 0 in J 14.956 * [backup-simplify]: Simplify 0 into 0 14.956 * [taylor]: Taking taylor expansion of 0 in K 14.957 * [backup-simplify]: Simplify 0 into 0 14.957 * [backup-simplify]: Simplify 0 into 0 14.957 * [taylor]: Taking taylor expansion of 0 in K 14.957 * [backup-simplify]: Simplify 0 into 0 14.957 * [backup-simplify]: Simplify 0 into 0 14.959 * [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 14.960 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 14.964 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 14.965 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 14.965 * [backup-simplify]: Simplify (- 0) into 0 14.965 * [backup-simplify]: Simplify (+ 0 0) into 0 14.966 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 14.967 * [taylor]: Taking taylor expansion of 0 in K 14.967 * [backup-simplify]: Simplify 0 into 0 14.967 * [backup-simplify]: Simplify 0 into 0 14.967 * [backup-simplify]: Simplify 0 into 0 14.967 * [backup-simplify]: Simplify 0 into 0 14.967 * [backup-simplify]: Simplify 0 into 0 14.967 * [backup-simplify]: Simplify (+ (* 1/8 (* (pow K 2) (* (/ 1 J) U))) (* 1 (* 1 (* (/ 1 J) U)))) into (+ (* 1/8 (/ (* (pow K 2) U) J)) (/ U J)) 14.968 * [backup-simplify]: Simplify (/ (/ (/ 1 U) (/ 1 J)) (cos (/ (/ 1 K) 2))) into (/ J (* U (cos (/ 1/2 K)))) 14.968 * [approximate]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in (U J K) around 0 14.968 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 14.968 * [taylor]: Taking taylor expansion of J in K 14.968 * [backup-simplify]: Simplify J into J 14.968 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 14.968 * [taylor]: Taking taylor expansion of U in K 14.968 * [backup-simplify]: Simplify U into U 14.968 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.968 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.968 * [taylor]: Taking taylor expansion of 1/2 in K 14.968 * [backup-simplify]: Simplify 1/2 into 1/2 14.968 * [taylor]: Taking taylor expansion of K in K 14.968 * [backup-simplify]: Simplify 0 into 0 14.968 * [backup-simplify]: Simplify 1 into 1 14.969 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.969 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.969 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.969 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 14.969 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 14.969 * [taylor]: Taking taylor expansion of J in J 14.969 * [backup-simplify]: Simplify 0 into 0 14.969 * [backup-simplify]: Simplify 1 into 1 14.969 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 14.969 * [taylor]: Taking taylor expansion of U in J 14.969 * [backup-simplify]: Simplify U into U 14.969 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.969 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.969 * [taylor]: Taking taylor expansion of 1/2 in J 14.969 * [backup-simplify]: Simplify 1/2 into 1/2 14.969 * [taylor]: Taking taylor expansion of K in J 14.969 * [backup-simplify]: Simplify K into K 14.969 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.969 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.969 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.969 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.969 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.969 * [backup-simplify]: Simplify (- 0) into 0 14.969 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.970 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.970 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 14.970 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.970 * [taylor]: Taking taylor expansion of J in U 14.970 * [backup-simplify]: Simplify J into J 14.970 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.970 * [taylor]: Taking taylor expansion of U in U 14.970 * [backup-simplify]: Simplify 0 into 0 14.970 * [backup-simplify]: Simplify 1 into 1 14.970 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.970 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.970 * [taylor]: Taking taylor expansion of 1/2 in U 14.970 * [backup-simplify]: Simplify 1/2 into 1/2 14.970 * [taylor]: Taking taylor expansion of K in U 14.970 * [backup-simplify]: Simplify K into K 14.970 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.970 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.970 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.970 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.970 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.970 * [backup-simplify]: Simplify (- 0) into 0 14.970 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.970 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.971 * [backup-simplify]: Simplify (+ 0) into 0 14.971 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.972 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.972 * [backup-simplify]: Simplify (- 0) into 0 14.972 * [backup-simplify]: Simplify (+ 0 0) into 0 14.973 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.973 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.973 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.973 * [taylor]: Taking taylor expansion of J in U 14.973 * [backup-simplify]: Simplify J into J 14.973 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.973 * [taylor]: Taking taylor expansion of U in U 14.973 * [backup-simplify]: Simplify 0 into 0 14.973 * [backup-simplify]: Simplify 1 into 1 14.973 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.973 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.973 * [taylor]: Taking taylor expansion of 1/2 in U 14.973 * [backup-simplify]: Simplify 1/2 into 1/2 14.973 * [taylor]: Taking taylor expansion of K in U 14.973 * [backup-simplify]: Simplify K into K 14.973 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.973 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.973 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.973 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.973 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.973 * [backup-simplify]: Simplify (- 0) into 0 14.974 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.974 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.974 * [backup-simplify]: Simplify (+ 0) into 0 14.974 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.974 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.975 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.975 * [backup-simplify]: Simplify (- 0) into 0 14.976 * [backup-simplify]: Simplify (+ 0 0) into 0 14.976 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.976 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.976 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 14.976 * [taylor]: Taking taylor expansion of J in J 14.976 * [backup-simplify]: Simplify 0 into 0 14.976 * [backup-simplify]: Simplify 1 into 1 14.976 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.976 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.976 * [taylor]: Taking taylor expansion of 1/2 in J 14.976 * [backup-simplify]: Simplify 1/2 into 1/2 14.976 * [taylor]: Taking taylor expansion of K in J 14.976 * [backup-simplify]: Simplify K into K 14.976 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.976 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.976 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.976 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.976 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.977 * [backup-simplify]: Simplify (- 0) into 0 14.977 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.977 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 14.977 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ 1/2 K))) in K 14.977 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.977 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.977 * [taylor]: Taking taylor expansion of 1/2 in K 14.977 * [backup-simplify]: Simplify 1/2 into 1/2 14.977 * [taylor]: Taking taylor expansion of K in K 14.977 * [backup-simplify]: Simplify 0 into 0 14.977 * [backup-simplify]: Simplify 1 into 1 14.977 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.977 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.977 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 14.977 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 14.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.978 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.979 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.979 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.980 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.980 * [backup-simplify]: Simplify (- 0) into 0 14.980 * [backup-simplify]: Simplify (+ 0 0) into 0 14.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 14.981 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.981 * [taylor]: Taking taylor expansion of 0 in J 14.981 * [backup-simplify]: Simplify 0 into 0 14.981 * [taylor]: Taking taylor expansion of 0 in K 14.981 * [backup-simplify]: Simplify 0 into 0 14.981 * [backup-simplify]: Simplify 0 into 0 14.981 * [backup-simplify]: Simplify (+ 0) into 0 14.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.982 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.983 * [backup-simplify]: Simplify (- 0) into 0 14.983 * [backup-simplify]: Simplify (+ 0 0) into 0 14.983 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.983 * [taylor]: Taking taylor expansion of 0 in K 14.983 * [backup-simplify]: Simplify 0 into 0 14.983 * [backup-simplify]: Simplify 0 into 0 14.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.983 * [backup-simplify]: Simplify 0 into 0 14.984 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.984 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.985 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.985 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.986 * [backup-simplify]: Simplify (- 0) into 0 14.987 * [backup-simplify]: Simplify (+ 0 0) into 0 14.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 14.988 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 14.988 * [taylor]: Taking taylor expansion of 0 in J 14.988 * [backup-simplify]: Simplify 0 into 0 14.988 * [taylor]: Taking taylor expansion of 0 in K 14.988 * [backup-simplify]: Simplify 0 into 0 14.988 * [backup-simplify]: Simplify 0 into 0 14.988 * [taylor]: Taking taylor expansion of 0 in K 14.988 * [backup-simplify]: Simplify 0 into 0 14.988 * [backup-simplify]: Simplify 0 into 0 14.988 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.989 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.989 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.990 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.990 * [backup-simplify]: Simplify (- 0) into 0 14.990 * [backup-simplify]: Simplify (+ 0 0) into 0 14.990 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 14.990 * [taylor]: Taking taylor expansion of 0 in K 14.990 * [backup-simplify]: Simplify 0 into 0 14.990 * [backup-simplify]: Simplify 0 into 0 14.991 * [backup-simplify]: Simplify (* (/ 1 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (/ U (* (cos (* 1/2 K)) J)) 14.991 * [backup-simplify]: Simplify (/ (/ (/ 1 (- U)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) into (/ J (* (cos (/ -1/2 K)) U)) 14.991 * [approximate]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in (U J K) around 0 14.991 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 14.991 * [taylor]: Taking taylor expansion of J in K 14.991 * [backup-simplify]: Simplify J into J 14.991 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 14.991 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.991 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.991 * [taylor]: Taking taylor expansion of -1/2 in K 14.991 * [backup-simplify]: Simplify -1/2 into -1/2 14.991 * [taylor]: Taking taylor expansion of K in K 14.991 * [backup-simplify]: Simplify 0 into 0 14.991 * [backup-simplify]: Simplify 1 into 1 14.991 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.991 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.991 * [taylor]: Taking taylor expansion of U in K 14.991 * [backup-simplify]: Simplify U into U 14.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.991 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 14.991 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 14.991 * [taylor]: Taking taylor expansion of J in J 14.991 * [backup-simplify]: Simplify 0 into 0 14.991 * [backup-simplify]: Simplify 1 into 1 14.991 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 14.991 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.991 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.991 * [taylor]: Taking taylor expansion of -1/2 in J 14.992 * [backup-simplify]: Simplify -1/2 into -1/2 14.992 * [taylor]: Taking taylor expansion of K in J 14.992 * [backup-simplify]: Simplify K into K 14.992 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.992 * [taylor]: Taking taylor expansion of U in J 14.992 * [backup-simplify]: Simplify U into U 14.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.992 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.992 * [backup-simplify]: Simplify (- 0) into 0 14.992 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.992 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 14.992 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.992 * [taylor]: Taking taylor expansion of J in U 14.992 * [backup-simplify]: Simplify J into J 14.992 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.992 * [taylor]: Taking taylor expansion of -1/2 in U 14.992 * [backup-simplify]: Simplify -1/2 into -1/2 14.992 * [taylor]: Taking taylor expansion of K in U 14.992 * [backup-simplify]: Simplify K into K 14.992 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 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 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.993 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.993 * [backup-simplify]: Simplify (- 0) into 0 14.993 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.993 * [backup-simplify]: Simplify (+ 0) into 0 14.994 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.994 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.995 * [backup-simplify]: Simplify (- 0) into 0 14.995 * [backup-simplify]: Simplify (+ 0 0) into 0 14.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.995 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.995 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.995 * [taylor]: Taking taylor expansion of J in U 14.995 * [backup-simplify]: Simplify J into J 14.995 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.995 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.995 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.995 * [taylor]: Taking taylor expansion of -1/2 in U 14.995 * [backup-simplify]: Simplify -1/2 into -1/2 14.996 * [taylor]: Taking taylor expansion of K in U 14.996 * [backup-simplify]: Simplify K into K 14.996 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.996 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.996 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.996 * [taylor]: Taking taylor expansion of U in U 14.996 * [backup-simplify]: Simplify 0 into 0 14.996 * [backup-simplify]: Simplify 1 into 1 14.996 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.996 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.996 * [backup-simplify]: Simplify (- 0) into 0 14.996 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.996 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.996 * [backup-simplify]: Simplify (+ 0) into 0 14.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.997 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.997 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.998 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.998 * [backup-simplify]: Simplify (- 0) into 0 14.998 * [backup-simplify]: Simplify (+ 0 0) into 0 14.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.998 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.999 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 14.999 * [taylor]: Taking taylor expansion of J in J 14.999 * [backup-simplify]: Simplify 0 into 0 14.999 * [backup-simplify]: Simplify 1 into 1 14.999 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.999 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.999 * [taylor]: Taking taylor expansion of -1/2 in J 14.999 * [backup-simplify]: Simplify -1/2 into -1/2 14.999 * [taylor]: Taking taylor expansion of K in J 14.999 * [backup-simplify]: Simplify K into K 14.999 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.999 * [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 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 14.999 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ -1/2 K))) in K 14.999 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.999 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.999 * [taylor]: Taking taylor expansion of -1/2 in K 14.999 * [backup-simplify]: Simplify -1/2 into -1/2 14.999 * [taylor]: Taking taylor expansion of K in K 14.999 * [backup-simplify]: Simplify 0 into 0 14.999 * [backup-simplify]: Simplify 1 into 1 15.000 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.000 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.000 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.000 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.002 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.003 * [backup-simplify]: Simplify (- 0) into 0 15.004 * [backup-simplify]: Simplify (+ 0 0) into 0 15.004 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.005 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.005 * [taylor]: Taking taylor expansion of 0 in J 15.005 * [backup-simplify]: Simplify 0 into 0 15.005 * [taylor]: Taking taylor expansion of 0 in K 15.005 * [backup-simplify]: Simplify 0 into 0 15.005 * [backup-simplify]: Simplify 0 into 0 15.005 * [backup-simplify]: Simplify (+ 0) into 0 15.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.006 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.008 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.008 * [backup-simplify]: Simplify (- 0) into 0 15.008 * [backup-simplify]: Simplify (+ 0 0) into 0 15.009 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.009 * [taylor]: Taking taylor expansion of 0 in K 15.009 * [backup-simplify]: Simplify 0 into 0 15.009 * [backup-simplify]: Simplify 0 into 0 15.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.009 * [backup-simplify]: Simplify 0 into 0 15.010 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.011 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.014 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.014 * [backup-simplify]: Simplify (- 0) into 0 15.014 * [backup-simplify]: Simplify (+ 0 0) into 0 15.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.016 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 15.016 * [taylor]: Taking taylor expansion of 0 in J 15.016 * [backup-simplify]: Simplify 0 into 0 15.016 * [taylor]: Taking taylor expansion of 0 in K 15.016 * [backup-simplify]: Simplify 0 into 0 15.016 * [backup-simplify]: Simplify 0 into 0 15.016 * [taylor]: Taking taylor expansion of 0 in K 15.016 * [backup-simplify]: Simplify 0 into 0 15.016 * [backup-simplify]: Simplify 0 into 0 15.017 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.018 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.018 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.019 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.019 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.020 * [backup-simplify]: Simplify (- 0) into 0 15.020 * [backup-simplify]: Simplify (+ 0 0) into 0 15.020 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 15.020 * [taylor]: Taking taylor expansion of 0 in K 15.020 * [backup-simplify]: Simplify 0 into 0 15.020 * [backup-simplify]: Simplify 0 into 0 15.021 * [backup-simplify]: Simplify (* (/ 1 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (/ U (* (cos (* 1/2 K)) J)) 15.021 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 15.021 * [backup-simplify]: Simplify (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) into (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.021 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in (K U J) around 0 15.021 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in J 15.021 * [taylor]: Taking taylor expansion of -2 in J 15.021 * [backup-simplify]: Simplify -2 into -2 15.021 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 15.021 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.021 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.021 * [taylor]: Taking taylor expansion of 1/2 in J 15.021 * [backup-simplify]: Simplify 1/2 into 1/2 15.021 * [taylor]: Taking taylor expansion of K in J 15.021 * [backup-simplify]: Simplify K into K 15.021 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.021 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.022 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.022 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 15.022 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.022 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 15.022 * [taylor]: Taking taylor expansion of (* 1 1) in J 15.022 * [taylor]: Taking taylor expansion of 1 in J 15.022 * [backup-simplify]: Simplify 1 into 1 15.022 * [taylor]: Taking taylor expansion of 1 in J 15.022 * [backup-simplify]: Simplify 1 into 1 15.022 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 15.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 15.022 * [taylor]: Taking taylor expansion of 1/2 in J 15.022 * [backup-simplify]: Simplify 1/2 into 1/2 15.022 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 15.022 * [taylor]: Taking taylor expansion of U in J 15.022 * [backup-simplify]: Simplify U into U 15.022 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.022 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.022 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.022 * [taylor]: Taking taylor expansion of 1/2 in J 15.022 * [backup-simplify]: Simplify 1/2 into 1/2 15.022 * [taylor]: Taking taylor expansion of K in J 15.022 * [backup-simplify]: Simplify K into K 15.022 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.022 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.023 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.023 * [taylor]: Taking taylor expansion of J in J 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [backup-simplify]: Simplify 1 into 1 15.023 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.023 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.023 * [backup-simplify]: Simplify (- 0) into 0 15.023 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.023 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.024 * [backup-simplify]: Simplify (+ 0) into 0 15.024 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.026 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.026 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.027 * [backup-simplify]: Simplify (- 0) into 0 15.027 * [backup-simplify]: Simplify (+ 0 0) into 0 15.027 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.027 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 15.028 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 15.028 * [taylor]: Taking taylor expansion of 1/2 in J 15.028 * [backup-simplify]: Simplify 1/2 into 1/2 15.028 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 15.028 * [taylor]: Taking taylor expansion of U in J 15.028 * [backup-simplify]: Simplify U into U 15.028 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.028 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.028 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.028 * [taylor]: Taking taylor expansion of 1/2 in J 15.028 * [backup-simplify]: Simplify 1/2 into 1/2 15.028 * [taylor]: Taking taylor expansion of K in J 15.028 * [backup-simplify]: Simplify K into K 15.028 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.028 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.028 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.028 * [taylor]: Taking taylor expansion of J in J 15.028 * [backup-simplify]: Simplify 0 into 0 15.028 * [backup-simplify]: Simplify 1 into 1 15.028 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.028 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.029 * [backup-simplify]: Simplify (- 0) into 0 15.029 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.029 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.029 * [backup-simplify]: Simplify (+ 0) into 0 15.030 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.032 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.032 * [backup-simplify]: Simplify (- 0) into 0 15.032 * [backup-simplify]: Simplify (+ 0 0) into 0 15.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.033 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 15.033 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.033 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.033 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.034 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.034 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.041 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.043 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.043 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.044 * [backup-simplify]: Simplify (- 0) into 0 15.044 * [backup-simplify]: Simplify (+ 0 0) into 0 15.045 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.045 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 15.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 15.047 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.048 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.049 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.050 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.050 * [backup-simplify]: Simplify (- 0) into 0 15.051 * [backup-simplify]: Simplify (+ 0 0) into 0 15.051 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.052 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 15.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 15.053 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 15.053 * [backup-simplify]: Simplify (+ 0 0) into 0 15.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.053 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in U 15.053 * [taylor]: Taking taylor expansion of -2 in U 15.053 * [backup-simplify]: Simplify -2 into -2 15.053 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 15.053 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.053 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.053 * [taylor]: Taking taylor expansion of 1/2 in U 15.053 * [backup-simplify]: Simplify 1/2 into 1/2 15.053 * [taylor]: Taking taylor expansion of K in U 15.054 * [backup-simplify]: Simplify K into K 15.054 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.054 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.054 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.054 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.054 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.054 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 15.054 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.054 * [taylor]: Taking taylor expansion of 1 in U 15.054 * [backup-simplify]: Simplify 1 into 1 15.054 * [taylor]: Taking taylor expansion of 1 in U 15.054 * [backup-simplify]: Simplify 1 into 1 15.054 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.054 * [taylor]: Taking taylor expansion of 1/2 in U 15.054 * [backup-simplify]: Simplify 1/2 into 1/2 15.054 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.054 * [taylor]: Taking taylor expansion of U in U 15.054 * [backup-simplify]: Simplify 0 into 0 15.054 * [backup-simplify]: Simplify 1 into 1 15.054 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.054 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.054 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.054 * [taylor]: Taking taylor expansion of 1/2 in U 15.054 * [backup-simplify]: Simplify 1/2 into 1/2 15.054 * [taylor]: Taking taylor expansion of K in U 15.054 * [backup-simplify]: Simplify K into K 15.054 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.055 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.055 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.055 * [taylor]: Taking taylor expansion of J in U 15.055 * [backup-simplify]: Simplify J into J 15.055 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.055 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.055 * [backup-simplify]: Simplify (- 0) into 0 15.055 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.055 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.056 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.056 * [taylor]: Taking taylor expansion of 1/2 in U 15.056 * [backup-simplify]: Simplify 1/2 into 1/2 15.056 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.056 * [taylor]: Taking taylor expansion of U in U 15.056 * [backup-simplify]: Simplify 0 into 0 15.056 * [backup-simplify]: Simplify 1 into 1 15.056 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.056 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.056 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.056 * [taylor]: Taking taylor expansion of 1/2 in U 15.056 * [backup-simplify]: Simplify 1/2 into 1/2 15.056 * [taylor]: Taking taylor expansion of K in U 15.056 * [backup-simplify]: Simplify K into K 15.056 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.056 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.056 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.056 * [taylor]: Taking taylor expansion of J in U 15.056 * [backup-simplify]: Simplify J into J 15.056 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.056 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.057 * [backup-simplify]: Simplify (- 0) into 0 15.057 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.057 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.057 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.057 * [backup-simplify]: Simplify (* 1 1) into 1 15.058 * [backup-simplify]: Simplify (+ 1 0) into 1 15.058 * [backup-simplify]: Simplify (sqrt 1) into 1 15.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.059 * [backup-simplify]: Simplify (+ 0 0) into 0 15.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.060 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in K 15.060 * [taylor]: Taking taylor expansion of -2 in K 15.060 * [backup-simplify]: Simplify -2 into -2 15.060 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 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 15.061 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.062 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.062 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 15.062 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.062 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 15.062 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.062 * [taylor]: Taking taylor expansion of 1 in K 15.062 * [backup-simplify]: Simplify 1 into 1 15.062 * [taylor]: Taking taylor expansion of 1 in K 15.062 * [backup-simplify]: Simplify 1 into 1 15.062 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 15.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 15.062 * [taylor]: Taking taylor expansion of 1/2 in K 15.062 * [backup-simplify]: Simplify 1/2 into 1/2 15.062 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 15.062 * [taylor]: Taking taylor expansion of U in K 15.062 * [backup-simplify]: Simplify U into U 15.062 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.062 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.062 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.062 * [taylor]: Taking taylor expansion of 1/2 in K 15.062 * [backup-simplify]: Simplify 1/2 into 1/2 15.062 * [taylor]: Taking taylor expansion of K in K 15.062 * [backup-simplify]: Simplify 0 into 0 15.062 * [backup-simplify]: Simplify 1 into 1 15.063 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.064 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.064 * [taylor]: Taking taylor expansion of J in K 15.064 * [backup-simplify]: Simplify J into J 15.064 * [backup-simplify]: Simplify (* 1 J) into J 15.064 * [backup-simplify]: Simplify (/ U J) into (/ U J) 15.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 15.064 * [taylor]: Taking taylor expansion of 1/2 in K 15.064 * [backup-simplify]: Simplify 1/2 into 1/2 15.064 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 15.064 * [taylor]: Taking taylor expansion of U in K 15.064 * [backup-simplify]: Simplify U into U 15.064 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.064 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.064 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.064 * [taylor]: Taking taylor expansion of 1/2 in K 15.064 * [backup-simplify]: Simplify 1/2 into 1/2 15.064 * [taylor]: Taking taylor expansion of K in K 15.064 * [backup-simplify]: Simplify 0 into 0 15.064 * [backup-simplify]: Simplify 1 into 1 15.065 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.065 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.065 * [taylor]: Taking taylor expansion of J in K 15.065 * [backup-simplify]: Simplify J into J 15.066 * [backup-simplify]: Simplify (* 1 J) into J 15.066 * [backup-simplify]: Simplify (/ U J) into (/ U J) 15.066 * [backup-simplify]: Simplify (* 1 1) into 1 15.066 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 15.066 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 15.066 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.067 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.067 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.068 * [backup-simplify]: Simplify (+ 0) into 0 15.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.069 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 15.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 15.070 * [backup-simplify]: Simplify (+ 0) into 0 15.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.070 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 15.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 15.071 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 15.071 * [backup-simplify]: Simplify (+ 0 0) into 0 15.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.072 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in K 15.072 * [taylor]: Taking taylor expansion of -2 in K 15.072 * [backup-simplify]: Simplify -2 into -2 15.072 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 15.072 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.072 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.072 * [taylor]: Taking taylor expansion of 1/2 in K 15.072 * [backup-simplify]: Simplify 1/2 into 1/2 15.072 * [taylor]: Taking taylor expansion of K in K 15.072 * [backup-simplify]: Simplify 0 into 0 15.072 * [backup-simplify]: Simplify 1 into 1 15.072 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.073 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.073 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 15.073 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.073 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 15.073 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.073 * [taylor]: Taking taylor expansion of 1 in K 15.073 * [backup-simplify]: Simplify 1 into 1 15.073 * [taylor]: Taking taylor expansion of 1 in K 15.073 * [backup-simplify]: Simplify 1 into 1 15.073 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 15.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 15.074 * [taylor]: Taking taylor expansion of 1/2 in K 15.074 * [backup-simplify]: Simplify 1/2 into 1/2 15.074 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 15.074 * [taylor]: Taking taylor expansion of U in K 15.074 * [backup-simplify]: Simplify U into U 15.074 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.074 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.074 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.074 * [taylor]: Taking taylor expansion of 1/2 in K 15.074 * [backup-simplify]: Simplify 1/2 into 1/2 15.074 * [taylor]: Taking taylor expansion of K in K 15.074 * [backup-simplify]: Simplify 0 into 0 15.074 * [backup-simplify]: Simplify 1 into 1 15.074 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.075 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.075 * [taylor]: Taking taylor expansion of J in K 15.075 * [backup-simplify]: Simplify J into J 15.075 * [backup-simplify]: Simplify (* 1 J) into J 15.075 * [backup-simplify]: Simplify (/ U J) into (/ U J) 15.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 15.075 * [taylor]: Taking taylor expansion of 1/2 in K 15.075 * [backup-simplify]: Simplify 1/2 into 1/2 15.075 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 15.075 * [taylor]: Taking taylor expansion of U in K 15.075 * [backup-simplify]: Simplify U into U 15.075 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.075 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.075 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.075 * [taylor]: Taking taylor expansion of 1/2 in K 15.076 * [backup-simplify]: Simplify 1/2 into 1/2 15.076 * [taylor]: Taking taylor expansion of K in K 15.076 * [backup-simplify]: Simplify 0 into 0 15.076 * [backup-simplify]: Simplify 1 into 1 15.076 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.077 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.077 * [taylor]: Taking taylor expansion of J in K 15.077 * [backup-simplify]: Simplify J into J 15.077 * [backup-simplify]: Simplify (* 1 J) into J 15.077 * [backup-simplify]: Simplify (/ U J) into (/ U J) 15.077 * [backup-simplify]: Simplify (* 1 1) into 1 15.078 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 15.078 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 15.078 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.078 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.078 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.079 * [backup-simplify]: Simplify (+ 0) into 0 15.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.080 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 15.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 15.081 * [backup-simplify]: Simplify (+ 0) into 0 15.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.082 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 15.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 15.082 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 15.083 * [backup-simplify]: Simplify (+ 0 0) into 0 15.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.084 * [backup-simplify]: Simplify (* 1 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.084 * [backup-simplify]: Simplify (* -2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 15.084 * [taylor]: Taking taylor expansion of (* -2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in U 15.084 * [taylor]: Taking taylor expansion of -2 in U 15.084 * [backup-simplify]: Simplify -2 into -2 15.084 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in U 15.084 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U 15.084 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U 15.084 * [taylor]: Taking taylor expansion of 1/4 in U 15.084 * [backup-simplify]: Simplify 1/4 into 1/4 15.084 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 15.084 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.084 * [taylor]: Taking taylor expansion of U in U 15.084 * [backup-simplify]: Simplify 0 into 0 15.084 * [backup-simplify]: Simplify 1 into 1 15.084 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.084 * [taylor]: Taking taylor expansion of J in U 15.084 * [backup-simplify]: Simplify J into J 15.085 * [backup-simplify]: Simplify (* 1 1) into 1 15.085 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.085 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 15.085 * [taylor]: Taking taylor expansion of 1 in U 15.085 * [backup-simplify]: Simplify 1 into 1 15.085 * [backup-simplify]: Simplify (+ 0 1) into 1 15.085 * [backup-simplify]: Simplify (sqrt 1) into 1 15.086 * [backup-simplify]: Simplify (+ 0 0) into 0 15.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.087 * [backup-simplify]: Simplify (* -2 1) into -2 15.087 * [taylor]: Taking taylor expansion of -2 in J 15.087 * [backup-simplify]: Simplify -2 into -2 15.087 * [backup-simplify]: Simplify (+ 0) into 0 15.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.088 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.088 * [taylor]: Taking taylor expansion of 0 in U 15.088 * [backup-simplify]: Simplify 0 into 0 15.088 * [taylor]: Taking taylor expansion of 0 in J 15.088 * [backup-simplify]: Simplify 0 into 0 15.088 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1)) into 0 15.088 * [taylor]: Taking taylor expansion of 0 in J 15.088 * [backup-simplify]: Simplify 0 into 0 15.088 * [backup-simplify]: Simplify -2 into -2 15.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.090 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 15.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 15.090 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ (- (* 1/8 J)) J)) (* 0 (/ 0 J)))) into (* 1/8 (/ U J)) 15.091 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/8 (/ U J))) (+ (* 0 0) (* 0 (/ U J)))) into (* 1/16 (/ U J)) 15.091 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 15.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 15.092 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ (- (* 1/8 J)) J)) (* 0 (/ 0 J)))) into (* 1/8 (/ U J)) 15.092 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/8 (/ U J))) (+ (* 0 0) (* 0 (/ U J)))) into (* 1/16 (/ U J)) 15.093 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) (* 1/16 (/ U J))) (+ (* 0 0) (* (* 1/16 (/ U J)) (* 1/2 (/ U J))))) into (* 1/16 (/ (pow U 2) (pow J 2))) 15.093 * [backup-simplify]: Simplify (+ 0 (* 1/16 (/ (pow U 2) (pow J 2)))) into (* 1/16 (/ (pow U 2) (pow J 2))) 15.094 * [backup-simplify]: Simplify (/ (- (* 1/16 (/ (pow U 2) (pow J 2))) (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 15.095 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 15.095 * [backup-simplify]: Simplify (+ (* 1 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (* -1/8 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (- (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/8 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 15.096 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/8 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (+ (* 0 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (- (* 1/4 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) (* 1/16 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) 15.096 * [taylor]: Taking taylor expansion of (- (* 1/4 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) (* 1/16 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) in U 15.096 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in U 15.096 * [taylor]: Taking taylor expansion of 1/4 in U 15.096 * [backup-simplify]: Simplify 1/4 into 1/4 15.096 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in U 15.096 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U 15.096 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U 15.096 * [taylor]: Taking taylor expansion of 1/4 in U 15.096 * [backup-simplify]: Simplify 1/4 into 1/4 15.096 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 15.096 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.097 * [taylor]: Taking taylor expansion of U in U 15.097 * [backup-simplify]: Simplify 0 into 0 15.097 * [backup-simplify]: Simplify 1 into 1 15.097 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.097 * [taylor]: Taking taylor expansion of J in U 15.097 * [backup-simplify]: Simplify J into J 15.097 * [backup-simplify]: Simplify (* 1 1) into 1 15.097 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.097 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 15.097 * [taylor]: Taking taylor expansion of 1 in U 15.097 * [backup-simplify]: Simplify 1 into 1 15.097 * [backup-simplify]: Simplify (+ 0 1) into 1 15.098 * [backup-simplify]: Simplify (sqrt 1) into 1 15.098 * [backup-simplify]: Simplify (+ 0 0) into 0 15.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.098 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) in U 15.098 * [taylor]: Taking taylor expansion of 1/16 in U 15.098 * [backup-simplify]: Simplify 1/16 into 1/16 15.098 * [taylor]: Taking taylor expansion of (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in U 15.099 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 15.099 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.099 * [taylor]: Taking taylor expansion of U in U 15.099 * [backup-simplify]: Simplify 0 into 0 15.099 * [backup-simplify]: Simplify 1 into 1 15.099 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.099 * [taylor]: Taking taylor expansion of J in U 15.099 * [backup-simplify]: Simplify J into J 15.099 * [backup-simplify]: Simplify (* 1 1) into 1 15.099 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.099 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 15.099 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in U 15.099 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in U 15.099 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U 15.099 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U 15.099 * [taylor]: Taking taylor expansion of 1/4 in U 15.099 * [backup-simplify]: Simplify 1/4 into 1/4 15.099 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 15.099 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.099 * [taylor]: Taking taylor expansion of U in U 15.099 * [backup-simplify]: Simplify 0 into 0 15.099 * [backup-simplify]: Simplify 1 into 1 15.099 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.099 * [taylor]: Taking taylor expansion of J in U 15.099 * [backup-simplify]: Simplify J into J 15.099 * [backup-simplify]: Simplify (* 1 1) into 1 15.099 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.100 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 15.100 * [taylor]: Taking taylor expansion of 1 in U 15.100 * [backup-simplify]: Simplify 1 into 1 15.100 * [backup-simplify]: Simplify (+ 0 1) into 1 15.100 * [backup-simplify]: Simplify (/ 1 1) into 1 15.100 * [backup-simplify]: Simplify (sqrt 1) into 1 15.101 * [backup-simplify]: Simplify (+ 0 0) into 0 15.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.102 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 15.102 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 15.102 * [taylor]: Taking taylor expansion of 1/4 in J 15.102 * [backup-simplify]: Simplify 1/4 into 1/4 15.102 * [taylor]: Taking taylor expansion of 0 in J 15.102 * [backup-simplify]: Simplify 0 into 0 15.102 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2)) 15.102 * [backup-simplify]: Simplify (+ (/ 1/4 (pow J 2)) 0) into (* 1/4 (/ 1 (pow J 2))) 15.103 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (pow J 2)) 15.104 * [backup-simplify]: Simplify (+ (* -2 (/ 1/8 (pow J 2))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (pow J 2)))) 15.104 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (pow J 2)))) in J 15.104 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow J 2))) in J 15.104 * [taylor]: Taking taylor expansion of 1/4 in J 15.104 * [backup-simplify]: Simplify 1/4 into 1/4 15.104 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 15.104 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.104 * [taylor]: Taking taylor expansion of J in J 15.104 * [backup-simplify]: Simplify 0 into 0 15.104 * [backup-simplify]: Simplify 1 into 1 15.104 * [backup-simplify]: Simplify (* 1 1) into 1 15.104 * [backup-simplify]: Simplify (/ 1 1) into 1 15.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.106 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 15.106 * [backup-simplify]: Simplify (- 0) into 0 15.106 * [backup-simplify]: Simplify 0 into 0 15.106 * [backup-simplify]: Simplify 0 into 0 15.106 * [backup-simplify]: Simplify 0 into 0 15.106 * [backup-simplify]: Simplify 0 into 0 15.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.108 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 15.109 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ (- (* 1/8 J)) J)) (* (* 1/8 (/ U J)) (/ 0 J)))) into 0 15.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* 1/8 (/ U J))) (+ (* 0 0) (* 0 (/ U J))))) into 0 15.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.111 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 15.112 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ (- (* 1/8 J)) J)) (* (* 1/8 (/ U J)) (/ 0 J)))) into 0 15.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* 1/8 (/ U J))) (+ (* 0 0) (* 0 (/ U J))))) into 0 15.113 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (+ (* 0 (* 1/16 (/ U J))) (+ (* (* 1/16 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))))) into 0 15.113 * [backup-simplify]: Simplify (+ 0 0) into 0 15.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.115 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* -1/8 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into 0 15.118 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/8 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (+ (* 0 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into 0 15.118 * [taylor]: Taking taylor expansion of 0 in U 15.118 * [backup-simplify]: Simplify 0 into 0 15.118 * [taylor]: Taking taylor expansion of 0 in J 15.118 * [backup-simplify]: Simplify 0 into 0 15.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 15.120 * [backup-simplify]: Simplify (+ 0 0) into 0 15.120 * [taylor]: Taking taylor expansion of 0 in J 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [taylor]: Taking taylor expansion of 0 in J 15.120 * [backup-simplify]: Simplify 0 into 0 15.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.121 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.121 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))))) into 0 15.121 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow J 2)))) into 0 15.122 * [backup-simplify]: Simplify (+ 0 0) into 0 15.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (pow J 2)))))) (* 2 1)) into 0 15.124 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ 1/8 (pow J 2))) (+ (* 0 0) (* 0 1)))) into 0 15.124 * [taylor]: Taking taylor expansion of 0 in J 15.124 * [backup-simplify]: Simplify 0 into 0 15.124 * [backup-simplify]: Simplify 1/4 into 1/4 15.124 * [backup-simplify]: Simplify 0 into 0 15.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.127 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 15.127 * [backup-simplify]: Simplify (- 0) into 0 15.127 * [backup-simplify]: Simplify 0 into 0 15.127 * [backup-simplify]: Simplify 0 into 0 15.127 * [backup-simplify]: Simplify 0 into 0 15.127 * [backup-simplify]: Simplify 0 into 0 15.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.131 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 15.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 15.132 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ (* 1/384 J) J)) (* 0 (/ 0 J)) (* (* 1/8 (/ U J)) (/ (- (* 1/8 J)) J)) (* 0 (/ 0 J)))) into (* 5/384 (/ U J)) 15.133 * [backup-simplify]: Simplify (+ (* 1/2 (* 5/384 (/ U J))) (+ (* 0 0) (+ (* 0 (* 1/8 (/ U J))) (+ (* 0 0) (* 0 (/ U J)))))) into (* 5/768 (/ U J)) 15.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.135 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 15.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 15.137 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ (* 1/384 J) J)) (* 0 (/ 0 J)) (* (* 1/8 (/ U J)) (/ (- (* 1/8 J)) J)) (* 0 (/ 0 J)))) into (* 5/384 (/ U J)) 15.137 * [backup-simplify]: Simplify (+ (* 1/2 (* 5/384 (/ U J))) (+ (* 0 0) (+ (* 0 (* 1/8 (/ U J))) (+ (* 0 0) (* 0 (/ U J)))))) into (* 5/768 (/ U J)) 15.138 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) (* 5/768 (/ U J))) (+ (* 0 0) (+ (* (* 1/16 (/ U J)) (* 1/16 (/ U J))) (+ (* 0 0) (* (* 5/768 (/ U J)) (* 1/2 (/ U J))))))) into (* 1/96 (/ (pow U 2) (pow J 2))) 15.138 * [backup-simplify]: Simplify (+ 0 (* 1/96 (/ (pow U 2) (pow J 2)))) into (* 1/96 (/ (pow U 2) (pow J 2))) 15.139 * [backup-simplify]: Simplify (/ (- (* 1/96 (/ (pow U 2) (pow J 2))) (pow (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/2 (* (- (* 1/96 (/ (pow U 2) (pow J 2))) (* 1/1024 (/ (pow U 4) (* (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) (pow J 4))))) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 15.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.142 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 15.144 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (* (- (* 1/96 (/ (pow U 2) (pow J 2))) (* 1/1024 (/ (pow U 4) (* (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) (pow J 4))))) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (+ (* -1/8 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (* 1/384 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into (- (+ (* 1/384 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) (* 1/768 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* 1/2048 (* (/ (pow U 4) (pow J 4)) (sqrt (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)))))) 15.146 * [backup-simplify]: Simplify (+ (* -2 (- (+ (* 1/384 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) (* 1/768 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* 1/2048 (* (/ (pow U 4) (pow J 4)) (sqrt (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3))))))) (+ (* 0 0) (+ (* 0 (- (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/8 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (+ (* 0 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into (- (* 1/1024 (* (/ (pow U 4) (pow J 4)) (sqrt (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3))))) (+ (* 1/192 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) (* 1/384 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) 15.146 * [taylor]: Taking taylor expansion of (- (* 1/1024 (* (/ (pow U 4) (pow J 4)) (sqrt (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3))))) (+ (* 1/192 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) (* 1/384 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) in U 15.146 * [taylor]: Taking taylor expansion of (* 1/1024 (* (/ (pow U 4) (pow J 4)) (sqrt (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3))))) in U 15.146 * [taylor]: Taking taylor expansion of 1/1024 in U 15.146 * [backup-simplify]: Simplify 1/1024 into 1/1024 15.146 * [taylor]: Taking taylor expansion of (* (/ (pow U 4) (pow J 4)) (sqrt (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)))) in U 15.146 * [taylor]: Taking taylor expansion of (/ (pow U 4) (pow J 4)) in U 15.146 * [taylor]: Taking taylor expansion of (pow U 4) in U 15.146 * [taylor]: Taking taylor expansion of U in U 15.146 * [backup-simplify]: Simplify 0 into 0 15.146 * [backup-simplify]: Simplify 1 into 1 15.146 * [taylor]: Taking taylor expansion of (pow J 4) in U 15.146 * [taylor]: Taking taylor expansion of J in U 15.146 * [backup-simplify]: Simplify J into J 15.146 * [backup-simplify]: Simplify (* 1 1) into 1 15.146 * [backup-simplify]: Simplify (* 1 1) into 1 15.146 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.147 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4) 15.147 * [backup-simplify]: Simplify (/ 1 (pow J 4)) into (/ 1 (pow J 4)) 15.147 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3))) in U 15.147 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) in U 15.147 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3) in U 15.147 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U 15.147 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U 15.147 * [taylor]: Taking taylor expansion of 1/4 in U 15.147 * [backup-simplify]: Simplify 1/4 into 1/4 15.147 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 15.147 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.147 * [taylor]: Taking taylor expansion of U in U 15.147 * [backup-simplify]: Simplify 0 into 0 15.147 * [backup-simplify]: Simplify 1 into 1 15.147 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.147 * [taylor]: Taking taylor expansion of J in U 15.147 * [backup-simplify]: Simplify J into J 15.147 * [backup-simplify]: Simplify (* 1 1) into 1 15.147 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.147 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 15.147 * [taylor]: Taking taylor expansion of 1 in U 15.147 * [backup-simplify]: Simplify 1 into 1 15.148 * [backup-simplify]: Simplify (+ 0 1) into 1 15.148 * [backup-simplify]: Simplify (* 1 1) into 1 15.148 * [backup-simplify]: Simplify (* 1 1) into 1 15.148 * [backup-simplify]: Simplify (/ 1 1) into 1 15.149 * [backup-simplify]: Simplify (sqrt 1) into 1 15.149 * [backup-simplify]: Simplify (+ 0 0) into 0 15.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.154 * [taylor]: Taking taylor expansion of (+ (* 1/192 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) (* 1/384 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) in U 15.154 * [taylor]: Taking taylor expansion of (* 1/192 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in U 15.154 * [taylor]: Taking taylor expansion of 1/192 in U 15.154 * [backup-simplify]: Simplify 1/192 into 1/192 15.154 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in U 15.154 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U 15.154 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U 15.154 * [taylor]: Taking taylor expansion of 1/4 in U 15.154 * [backup-simplify]: Simplify 1/4 into 1/4 15.154 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 15.154 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.154 * [taylor]: Taking taylor expansion of U in U 15.154 * [backup-simplify]: Simplify 0 into 0 15.154 * [backup-simplify]: Simplify 1 into 1 15.154 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.154 * [taylor]: Taking taylor expansion of J in U 15.154 * [backup-simplify]: Simplify J into J 15.155 * [backup-simplify]: Simplify (* 1 1) into 1 15.155 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.155 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 15.155 * [taylor]: Taking taylor expansion of 1 in U 15.155 * [backup-simplify]: Simplify 1 into 1 15.156 * [backup-simplify]: Simplify (+ 0 1) into 1 15.156 * [backup-simplify]: Simplify (sqrt 1) into 1 15.156 * [backup-simplify]: Simplify (+ 0 0) into 0 15.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.157 * [taylor]: Taking taylor expansion of (* 1/384 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) in U 15.157 * [taylor]: Taking taylor expansion of 1/384 in U 15.157 * [backup-simplify]: Simplify 1/384 into 1/384 15.157 * [taylor]: Taking taylor expansion of (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in U 15.157 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 15.157 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.157 * [taylor]: Taking taylor expansion of U in U 15.157 * [backup-simplify]: Simplify 0 into 0 15.157 * [backup-simplify]: Simplify 1 into 1 15.157 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.157 * [taylor]: Taking taylor expansion of J in U 15.157 * [backup-simplify]: Simplify J into J 15.157 * [backup-simplify]: Simplify (* 1 1) into 1 15.157 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.157 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 15.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in U 15.157 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in U 15.157 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U 15.157 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U 15.157 * [taylor]: Taking taylor expansion of 1/4 in U 15.157 * [backup-simplify]: Simplify 1/4 into 1/4 15.157 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 15.157 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.157 * [taylor]: Taking taylor expansion of U in U 15.157 * [backup-simplify]: Simplify 0 into 0 15.157 * [backup-simplify]: Simplify 1 into 1 15.157 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.157 * [taylor]: Taking taylor expansion of J in U 15.157 * [backup-simplify]: Simplify J into J 15.158 * [backup-simplify]: Simplify (* 1 1) into 1 15.158 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.158 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 15.158 * [taylor]: Taking taylor expansion of 1 in U 15.158 * [backup-simplify]: Simplify 1 into 1 15.158 * [backup-simplify]: Simplify (+ 0 1) into 1 15.158 * [backup-simplify]: Simplify (/ 1 1) into 1 15.159 * [backup-simplify]: Simplify (sqrt 1) into 1 15.159 * [backup-simplify]: Simplify (+ 0 0) into 0 15.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.160 * [backup-simplify]: Simplify (* 1/192 1) into 1/192 15.161 * [backup-simplify]: Simplify (+ 1/192 0) into 1/192 15.161 * [backup-simplify]: Simplify (- 1/192) into -1/192 15.162 * [backup-simplify]: Simplify (+ 0 -1/192) into -1/192 15.162 * [taylor]: Taking taylor expansion of -1/192 in J 15.162 * [backup-simplify]: Simplify -1/192 into -1/192 15.162 * [taylor]: Taking taylor expansion of 0 in J 15.162 * [backup-simplify]: Simplify 0 into 0 15.162 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2)) 15.162 * [backup-simplify]: Simplify (+ (/ 1/4 (pow J 2)) 0) into (* 1/4 (/ 1 (pow J 2))) 15.164 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (pow J 2)) 15.165 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/8 (pow J 2))) (+ (* 0 0) (* 0 1))) into (* 1/32 (/ 1 (pow J 2))) 15.165 * [backup-simplify]: Simplify (* (/ 1 (pow J 2)) 1) into (/ 1 (pow J 2)) 15.165 * [backup-simplify]: Simplify (* 1/16 (/ 1 (pow J 2))) into (/ 1/16 (pow J 2)) 15.165 * [backup-simplify]: Simplify (- (/ 1/16 (pow J 2))) into (- (* 1/16 (/ 1 (pow J 2)))) 15.165 * [backup-simplify]: Simplify (+ (* 1/32 (/ 1 (pow J 2))) (- (* 1/16 (/ 1 (pow J 2))))) into (- (* 1/32 (/ 1 (pow J 2)))) 15.165 * [taylor]: Taking taylor expansion of (- (* 1/32 (/ 1 (pow J 2)))) in J 15.165 * [taylor]: Taking taylor expansion of (* 1/32 (/ 1 (pow J 2))) in J 15.165 * [taylor]: Taking taylor expansion of 1/32 in J 15.165 * [backup-simplify]: Simplify 1/32 into 1/32 15.165 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 15.165 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.165 * [taylor]: Taking taylor expansion of J in J 15.165 * [backup-simplify]: Simplify 0 into 0 15.165 * [backup-simplify]: Simplify 1 into 1 15.166 * [backup-simplify]: Simplify (* 1 1) into 1 15.166 * [backup-simplify]: Simplify (/ 1 1) into 1 15.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.169 * [backup-simplify]: Simplify (+ (* 1/32 0) (* 0 1)) into 0 15.169 * [backup-simplify]: Simplify (- 0) into 0 15.169 * [backup-simplify]: Simplify 0 into 0 15.169 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* 1 K)) 2)) -2) into (- (* 1/4 (pow K 2)) 2) 15.170 * [backup-simplify]: Simplify (* (* -2 (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) (cos (/ (/ 1 K) 2))) 2))) into (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) 15.170 * [approximate]: Taking taylor expansion of (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) in (K U J) around 0 15.170 * [taylor]: Taking taylor expansion of (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) in J 15.170 * [taylor]: Taking taylor expansion of -2 in J 15.170 * [backup-simplify]: Simplify -2 into -2 15.170 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 15.170 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 15.170 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.170 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 15.170 * [taylor]: Taking taylor expansion of (* 1 1) in J 15.170 * [taylor]: Taking taylor expansion of 1 in J 15.170 * [backup-simplify]: Simplify 1 into 1 15.170 * [taylor]: Taking taylor expansion of 1 in J 15.170 * [backup-simplify]: Simplify 1 into 1 15.170 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 15.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 15.170 * [taylor]: Taking taylor expansion of 1/2 in J 15.170 * [backup-simplify]: Simplify 1/2 into 1/2 15.170 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 15.170 * [taylor]: Taking taylor expansion of J in J 15.170 * [backup-simplify]: Simplify 0 into 0 15.170 * [backup-simplify]: Simplify 1 into 1 15.170 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 15.170 * [taylor]: Taking taylor expansion of U in J 15.170 * [backup-simplify]: Simplify U into U 15.170 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.170 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.170 * [taylor]: Taking taylor expansion of 1/2 in J 15.170 * [backup-simplify]: Simplify 1/2 into 1/2 15.171 * [taylor]: Taking taylor expansion of K in J 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)) 15.172 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.172 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 15.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 15.172 * [taylor]: Taking taylor expansion of 1/2 in J 15.172 * [backup-simplify]: Simplify 1/2 into 1/2 15.172 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 15.172 * [taylor]: Taking taylor expansion of J in J 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify 1 into 1 15.172 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 15.172 * [taylor]: Taking taylor expansion of U in J 15.172 * [backup-simplify]: Simplify U into U 15.172 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.172 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.172 * [taylor]: Taking taylor expansion of 1/2 in J 15.172 * [backup-simplify]: Simplify 1/2 into 1/2 15.172 * [taylor]: Taking taylor expansion of K in J 15.172 * [backup-simplify]: Simplify K into K 15.172 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.172 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.172 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.172 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.172 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.173 * [backup-simplify]: Simplify (- 0) into 0 15.173 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.173 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.173 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 15.174 * [backup-simplify]: Simplify (* 1 1) into 1 15.174 * [backup-simplify]: Simplify (+ 1 0) into 1 15.174 * [backup-simplify]: Simplify (sqrt 1) into 1 15.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.175 * [backup-simplify]: Simplify (+ 0 0) into 0 15.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.176 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.176 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.176 * [taylor]: Taking taylor expansion of 1/2 in J 15.176 * [backup-simplify]: Simplify 1/2 into 1/2 15.176 * [taylor]: Taking taylor expansion of K in J 15.176 * [backup-simplify]: Simplify K into K 15.176 * [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 * [taylor]: Taking taylor expansion of (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) in U 15.177 * [taylor]: Taking taylor expansion of -2 in U 15.177 * [backup-simplify]: Simplify -2 into -2 15.177 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 15.177 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 15.177 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.177 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 15.177 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.177 * [taylor]: Taking taylor expansion of 1 in U 15.177 * [backup-simplify]: Simplify 1 into 1 15.177 * [taylor]: Taking taylor expansion of 1 in U 15.177 * [backup-simplify]: Simplify 1 into 1 15.177 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 15.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 15.177 * [taylor]: Taking taylor expansion of 1/2 in U 15.177 * [backup-simplify]: Simplify 1/2 into 1/2 15.177 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 15.177 * [taylor]: Taking taylor expansion of J in U 15.177 * [backup-simplify]: Simplify J into J 15.177 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 15.177 * [taylor]: Taking taylor expansion of U in U 15.177 * [backup-simplify]: Simplify 0 into 0 15.177 * [backup-simplify]: Simplify 1 into 1 15.177 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.177 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.177 * [taylor]: Taking taylor expansion of 1/2 in U 15.177 * [backup-simplify]: Simplify 1/2 into 1/2 15.177 * [taylor]: Taking taylor expansion of K in U 15.177 * [backup-simplify]: Simplify K into K 15.178 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.178 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.178 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.178 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.178 * [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 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 15.179 * [backup-simplify]: Simplify (+ 0) into 0 15.179 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.180 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.181 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.181 * [backup-simplify]: Simplify (- 0) into 0 15.182 * [backup-simplify]: Simplify (+ 0 0) into 0 15.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 15.182 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 15.182 * [taylor]: Taking taylor expansion of 1/2 in U 15.183 * [backup-simplify]: Simplify 1/2 into 1/2 15.183 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 15.183 * [taylor]: Taking taylor expansion of J in U 15.183 * [backup-simplify]: Simplify J into J 15.183 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 15.183 * [taylor]: Taking taylor expansion of U in U 15.183 * [backup-simplify]: Simplify 0 into 0 15.183 * [backup-simplify]: Simplify 1 into 1 15.183 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.183 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.183 * [taylor]: Taking taylor expansion of 1/2 in U 15.183 * [backup-simplify]: Simplify 1/2 into 1/2 15.183 * [taylor]: Taking taylor expansion of K in U 15.183 * [backup-simplify]: Simplify K into K 15.183 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.183 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.183 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.183 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.183 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.184 * [backup-simplify]: Simplify (- 0) into 0 15.184 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.184 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 15.184 * [backup-simplify]: Simplify (+ 0) into 0 15.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.185 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.186 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.187 * [backup-simplify]: Simplify (- 0) into 0 15.187 * [backup-simplify]: Simplify (+ 0 0) into 0 15.188 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 15.188 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.188 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.188 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.188 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.189 * [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))) 15.189 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.191 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.192 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.193 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.193 * [backup-simplify]: Simplify (- 0) into 0 15.193 * [backup-simplify]: Simplify (+ 0 0) into 0 15.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 15.195 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.197 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.197 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.198 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.199 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.199 * [backup-simplify]: Simplify (- 0) into 0 15.200 * [backup-simplify]: Simplify (+ 0 0) into 0 15.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 15.201 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.202 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.202 * [backup-simplify]: Simplify (+ 0 0) into 0 15.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.203 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.203 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.203 * [taylor]: Taking taylor expansion of 1/2 in U 15.203 * [backup-simplify]: Simplify 1/2 into 1/2 15.203 * [taylor]: Taking taylor expansion of K in U 15.203 * [backup-simplify]: Simplify K into K 15.203 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.203 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.203 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.203 * [taylor]: Taking taylor expansion of (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) in K 15.203 * [taylor]: Taking taylor expansion of -2 in K 15.203 * [backup-simplify]: Simplify -2 into -2 15.203 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 15.203 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 15.203 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.203 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 15.203 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.203 * [taylor]: Taking taylor expansion of 1 in K 15.203 * [backup-simplify]: Simplify 1 into 1 15.203 * [taylor]: Taking taylor expansion of 1 in K 15.203 * [backup-simplify]: Simplify 1 into 1 15.203 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 15.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 15.204 * [taylor]: Taking taylor expansion of 1/2 in K 15.204 * [backup-simplify]: Simplify 1/2 into 1/2 15.204 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 15.204 * [taylor]: Taking taylor expansion of J in K 15.204 * [backup-simplify]: Simplify J into J 15.204 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 15.204 * [taylor]: Taking taylor expansion of U in K 15.204 * [backup-simplify]: Simplify U into U 15.204 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.204 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.204 * [taylor]: Taking taylor expansion of 1/2 in K 15.204 * [backup-simplify]: Simplify 1/2 into 1/2 15.204 * [taylor]: Taking taylor expansion of K in K 15.204 * [backup-simplify]: Simplify 0 into 0 15.204 * [backup-simplify]: Simplify 1 into 1 15.204 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.204 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.205 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.205 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 15.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 15.205 * [taylor]: Taking taylor expansion of 1/2 in K 15.205 * [backup-simplify]: Simplify 1/2 into 1/2 15.205 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 15.205 * [taylor]: Taking taylor expansion of J in K 15.205 * [backup-simplify]: Simplify J into J 15.205 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 15.205 * [taylor]: Taking taylor expansion of U in K 15.205 * [backup-simplify]: Simplify U into U 15.205 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.205 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.205 * [taylor]: Taking taylor expansion of 1/2 in K 15.205 * [backup-simplify]: Simplify 1/2 into 1/2 15.205 * [taylor]: Taking taylor expansion of K in K 15.205 * [backup-simplify]: Simplify 0 into 0 15.205 * [backup-simplify]: Simplify 1 into 1 15.206 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.206 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.206 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.206 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 15.206 * [backup-simplify]: Simplify (* 1 1) into 1 15.207 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 15.207 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 15.207 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 15.207 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 15.208 * [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)) 15.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.209 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 15.209 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 15.210 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 15.210 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 15.211 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 15.211 * [backup-simplify]: Simplify (+ 0 0) into 0 15.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.212 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.212 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.212 * [taylor]: Taking taylor expansion of 1/2 in K 15.212 * [backup-simplify]: Simplify 1/2 into 1/2 15.212 * [taylor]: Taking taylor expansion of K in K 15.212 * [backup-simplify]: Simplify 0 into 0 15.212 * [backup-simplify]: Simplify 1 into 1 15.212 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.213 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.213 * [taylor]: Taking taylor expansion of (* -2 (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K)))) in K 15.213 * [taylor]: Taking taylor expansion of -2 in K 15.213 * [backup-simplify]: Simplify -2 into -2 15.213 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 15.213 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 15.213 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.213 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 15.213 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.213 * [taylor]: Taking taylor expansion of 1 in K 15.213 * [backup-simplify]: Simplify 1 into 1 15.213 * [taylor]: Taking taylor expansion of 1 in K 15.213 * [backup-simplify]: Simplify 1 into 1 15.213 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 15.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 15.213 * [taylor]: Taking taylor expansion of 1/2 in K 15.213 * [backup-simplify]: Simplify 1/2 into 1/2 15.213 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 15.213 * [taylor]: Taking taylor expansion of J in K 15.213 * [backup-simplify]: Simplify J into J 15.213 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 15.213 * [taylor]: Taking taylor expansion of U in K 15.213 * [backup-simplify]: Simplify U into U 15.213 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.213 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.213 * [taylor]: Taking taylor expansion of 1/2 in K 15.213 * [backup-simplify]: Simplify 1/2 into 1/2 15.213 * [taylor]: Taking taylor expansion of K in K 15.213 * [backup-simplify]: Simplify 0 into 0 15.213 * [backup-simplify]: Simplify 1 into 1 15.213 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.213 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.213 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.214 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 15.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 15.214 * [taylor]: Taking taylor expansion of 1/2 in K 15.214 * [backup-simplify]: Simplify 1/2 into 1/2 15.214 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 15.214 * [taylor]: Taking taylor expansion of J in K 15.214 * [backup-simplify]: Simplify J into J 15.214 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 15.214 * [taylor]: Taking taylor expansion of U in K 15.214 * [backup-simplify]: Simplify U into U 15.214 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.214 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.214 * [taylor]: Taking taylor expansion of 1/2 in K 15.214 * [backup-simplify]: Simplify 1/2 into 1/2 15.214 * [taylor]: Taking taylor expansion of K in K 15.214 * [backup-simplify]: Simplify 0 into 0 15.214 * [backup-simplify]: Simplify 1 into 1 15.214 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.214 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.214 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.214 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 15.215 * [backup-simplify]: Simplify (* 1 1) into 1 15.215 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 15.215 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 15.215 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 15.215 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 15.215 * [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)) 15.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.216 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 15.216 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 15.216 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 15.217 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 15.217 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 15.217 * [backup-simplify]: Simplify (+ 0 0) into 0 15.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.218 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.218 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.218 * [taylor]: Taking taylor expansion of 1/2 in K 15.218 * [backup-simplify]: Simplify 1/2 into 1/2 15.218 * [taylor]: Taking taylor expansion of K in K 15.218 * [backup-simplify]: Simplify 0 into 0 15.218 * [backup-simplify]: Simplify 1 into 1 15.218 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.218 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.218 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 15.219 * [backup-simplify]: Simplify (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K)))) 15.219 * [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)))) in U 15.219 * [taylor]: Taking taylor expansion of -2 in U 15.219 * [backup-simplify]: Simplify -2 into -2 15.219 * [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))) in U 15.219 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.219 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.219 * [taylor]: Taking taylor expansion of 1/4 in U 15.219 * [backup-simplify]: Simplify 1/4 into 1/4 15.219 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.219 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.219 * [taylor]: Taking taylor expansion of J in U 15.219 * [backup-simplify]: Simplify J into J 15.219 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.219 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.219 * [taylor]: Taking taylor expansion of U in U 15.219 * [backup-simplify]: Simplify 0 into 0 15.219 * [backup-simplify]: Simplify 1 into 1 15.219 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.219 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.219 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.219 * [taylor]: Taking taylor expansion of 1/2 in U 15.219 * [backup-simplify]: Simplify 1/2 into 1/2 15.219 * [taylor]: Taking taylor expansion of K in U 15.219 * [backup-simplify]: Simplify K into K 15.219 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.219 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.219 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.219 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.219 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.220 * [backup-simplify]: Simplify (- 0) into 0 15.220 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.220 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.220 * [backup-simplify]: Simplify (* 1 1) into 1 15.220 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.220 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.220 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.220 * [taylor]: Taking taylor expansion of 1 in U 15.220 * [backup-simplify]: Simplify 1 into 1 15.220 * [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))) 15.221 * [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))) 15.221 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.221 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.221 * [backup-simplify]: Simplify (+ 0) into 0 15.221 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.221 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.222 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.222 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.222 * [backup-simplify]: Simplify (- 0) into 0 15.223 * [backup-simplify]: Simplify (+ 0 0) into 0 15.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.224 * [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 15.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.224 * [backup-simplify]: Simplify (+ 0 0) into 0 15.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.225 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.225 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.225 * [taylor]: Taking taylor expansion of 1/2 in U 15.225 * [backup-simplify]: Simplify 1/2 into 1/2 15.225 * [taylor]: Taking taylor expansion of K in U 15.225 * [backup-simplify]: Simplify K into K 15.225 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.225 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.225 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.225 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.225 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.225 * [backup-simplify]: Simplify (- 0) into 0 15.225 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.225 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 15.225 * [backup-simplify]: Simplify (* -2 (* 1/2 J)) into (* -1 J) 15.225 * [taylor]: Taking taylor expansion of (* -1 J) in J 15.225 * [taylor]: Taking taylor expansion of -1 in J 15.225 * [backup-simplify]: Simplify -1 into -1 15.225 * [taylor]: Taking taylor expansion of J in J 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [backup-simplify]: Simplify 1 into 1 15.226 * [backup-simplify]: Simplify (* -1 0) into 0 15.226 * [backup-simplify]: Simplify 0 into 0 15.226 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.227 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))))) into 0 15.227 * [taylor]: Taking taylor expansion of 0 in U 15.227 * [backup-simplify]: Simplify 0 into 0 15.227 * [backup-simplify]: Simplify (+ 0) into 0 15.227 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.227 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.228 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.228 * [backup-simplify]: Simplify (- 0) into 0 15.229 * [backup-simplify]: Simplify (+ 0 0) into 0 15.229 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.229 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* 1/2 J))) into 0 15.229 * [taylor]: Taking taylor expansion of 0 in J 15.229 * [backup-simplify]: Simplify 0 into 0 15.229 * [backup-simplify]: Simplify 0 into 0 15.230 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 15.230 * [backup-simplify]: Simplify -1 into -1 15.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.231 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.231 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (* U (cos (/ 1/2 K))))))) into 0 15.232 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.232 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (* U (cos (/ 1/2 K))))))) into 0 15.233 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 15.233 * [backup-simplify]: Simplify (+ 0 0) into 0 15.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.235 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.235 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K)))))) into 0 15.235 * [taylor]: Taking taylor expansion of 0 in U 15.235 * [backup-simplify]: Simplify 0 into 0 15.236 * [taylor]: Taking taylor expansion of 0 in J 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.237 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.238 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.238 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.238 * [backup-simplify]: Simplify (- 0) into 0 15.238 * [backup-simplify]: Simplify (+ 0 0) into 0 15.239 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.239 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.240 * [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 15.241 * [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 15.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.243 * [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 15.244 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.244 * [backup-simplify]: Simplify (+ 0 1) into 1 15.245 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.246 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 15.246 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) J)) (+ (* 0 0) (* 0 (* 1/2 J)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) J))) 15.246 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) J))) in J 15.247 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) J)) in J 15.247 * [taylor]: Taking taylor expansion of 2 in J 15.247 * [backup-simplify]: Simplify 2 into 2 15.247 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) J) in J 15.247 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) 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 * [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 * [taylor]: Taking taylor expansion of J in J 15.248 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify 1 into 1 15.248 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.248 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 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 15.251 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 15.253 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.253 * [backup-simplify]: Simplify (- 0) into 0 15.253 * [backup-simplify]: Simplify 0 into 0 15.253 * [backup-simplify]: Simplify 0 into 0 15.254 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 15.254 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.256 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.257 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))))) into 0 15.260 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.260 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))))) into 0 15.263 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) into 0 15.263 * [backup-simplify]: Simplify (+ 0 0) into 0 15.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.266 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.267 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))))))) into 0 15.267 * [taylor]: Taking taylor expansion of 0 in U 15.267 * [backup-simplify]: Simplify 0 into 0 15.267 * [taylor]: Taking taylor expansion of 0 in J 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [taylor]: Taking taylor expansion of 0 in J 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify (* -1 (* (/ 1 J) (* (/ 1 (/ 1 U)) 1))) into (* -1 (/ U J)) 15.268 * [backup-simplify]: Simplify (* (* -2 (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 2))) into (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.268 * [approximate]: Taking taylor expansion of (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in (K U J) around 0 15.268 * [taylor]: Taking taylor expansion of (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in J 15.268 * [taylor]: Taking taylor expansion of -2 in J 15.268 * [backup-simplify]: Simplify -2 into -2 15.268 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 15.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.268 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.268 * [taylor]: Taking taylor expansion of -1/2 in J 15.268 * [backup-simplify]: Simplify -1/2 into -1/2 15.269 * [taylor]: Taking taylor expansion of K in J 15.269 * [backup-simplify]: Simplify K into K 15.269 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.269 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.269 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.269 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 15.269 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.269 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 15.269 * [taylor]: Taking taylor expansion of (* 1 1) in J 15.269 * [taylor]: Taking taylor expansion of 1 in J 15.269 * [backup-simplify]: Simplify 1 into 1 15.269 * [taylor]: Taking taylor expansion of 1 in J 15.269 * [backup-simplify]: Simplify 1 into 1 15.269 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 15.269 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 15.269 * [taylor]: Taking taylor expansion of 1/2 in J 15.269 * [backup-simplify]: Simplify 1/2 into 1/2 15.269 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 15.269 * [taylor]: Taking taylor expansion of J in J 15.269 * [backup-simplify]: Simplify 0 into 0 15.269 * [backup-simplify]: Simplify 1 into 1 15.269 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 15.269 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.269 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.269 * [taylor]: Taking taylor expansion of -1/2 in J 15.269 * [backup-simplify]: Simplify -1/2 into -1/2 15.269 * [taylor]: Taking taylor expansion of K in J 15.269 * [backup-simplify]: Simplify K into K 15.269 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.270 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.270 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.270 * [taylor]: Taking taylor expansion of U in J 15.270 * [backup-simplify]: Simplify U into U 15.270 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.270 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.271 * [backup-simplify]: Simplify (- 0) into 0 15.271 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.271 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.271 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 15.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 15.271 * [taylor]: Taking taylor expansion of 1/2 in J 15.271 * [backup-simplify]: Simplify 1/2 into 1/2 15.271 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 15.271 * [taylor]: Taking taylor expansion of J in J 15.271 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify 1 into 1 15.271 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 15.271 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.271 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.271 * [taylor]: Taking taylor expansion of -1/2 in J 15.271 * [backup-simplify]: Simplify -1/2 into -1/2 15.271 * [taylor]: Taking taylor expansion of K in J 15.271 * [backup-simplify]: Simplify K into K 15.271 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.271 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.271 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.271 * [taylor]: Taking taylor expansion of U in J 15.271 * [backup-simplify]: Simplify U into U 15.271 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.272 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.272 * [backup-simplify]: Simplify (- 0) into 0 15.272 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.272 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.272 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 15.273 * [backup-simplify]: Simplify (* 1 1) into 1 15.273 * [backup-simplify]: Simplify (+ 1 0) into 1 15.274 * [backup-simplify]: Simplify (sqrt 1) into 1 15.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.275 * [backup-simplify]: Simplify (+ 0 0) into 0 15.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.276 * [taylor]: Taking taylor expansion of (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in U 15.276 * [taylor]: Taking taylor expansion of -2 in U 15.276 * [backup-simplify]: Simplify -2 into -2 15.276 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 15.276 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.276 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.276 * [taylor]: Taking taylor expansion of -1/2 in U 15.276 * [backup-simplify]: Simplify -1/2 into -1/2 15.276 * [taylor]: Taking taylor expansion of K in U 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 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 15.276 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.276 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 15.276 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.276 * [taylor]: Taking taylor expansion of 1 in U 15.276 * [backup-simplify]: Simplify 1 into 1 15.276 * [taylor]: Taking taylor expansion of 1 in U 15.276 * [backup-simplify]: Simplify 1 into 1 15.276 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 15.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 15.276 * [taylor]: Taking taylor expansion of 1/2 in U 15.276 * [backup-simplify]: Simplify 1/2 into 1/2 15.276 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 15.276 * [taylor]: Taking taylor expansion of J in U 15.276 * [backup-simplify]: Simplify J into J 15.276 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 15.276 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.277 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.277 * [taylor]: Taking taylor expansion of -1/2 in U 15.277 * [backup-simplify]: Simplify -1/2 into -1/2 15.277 * [taylor]: Taking taylor expansion of K in U 15.277 * [backup-simplify]: Simplify K into K 15.277 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.277 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.277 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.277 * [taylor]: Taking taylor expansion of U in U 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify 1 into 1 15.277 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.277 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.277 * [backup-simplify]: Simplify (- 0) into 0 15.278 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.278 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 15.278 * [backup-simplify]: Simplify (+ 0) into 0 15.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.279 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.280 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.281 * [backup-simplify]: Simplify (- 0) into 0 15.281 * [backup-simplify]: Simplify (+ 0 0) into 0 15.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 15.282 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 15.282 * [taylor]: Taking taylor expansion of 1/2 in U 15.282 * [backup-simplify]: Simplify 1/2 into 1/2 15.282 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 15.282 * [taylor]: Taking taylor expansion of J in U 15.282 * [backup-simplify]: Simplify J into J 15.282 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 15.282 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.282 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.282 * [taylor]: Taking taylor expansion of -1/2 in U 15.282 * [backup-simplify]: Simplify -1/2 into -1/2 15.282 * [taylor]: Taking taylor expansion of K in U 15.282 * [backup-simplify]: Simplify K into K 15.282 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.282 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.282 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.282 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.283 * [backup-simplify]: Simplify (- 0) into 0 15.283 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.283 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 15.283 * [backup-simplify]: Simplify (+ 0) into 0 15.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.290 * [backup-simplify]: Simplify (- 0) into 0 15.291 * [backup-simplify]: Simplify (+ 0 0) into 0 15.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 15.291 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.292 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.292 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.292 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 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)))) 15.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.294 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.296 * [backup-simplify]: Simplify (- 0) into 0 15.297 * [backup-simplify]: Simplify (+ 0 0) into 0 15.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.298 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) 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 15.301 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.302 * [backup-simplify]: Simplify (- 0) into 0 15.303 * [backup-simplify]: Simplify (+ 0 0) into 0 15.303 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.304 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.304 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.305 * [backup-simplify]: Simplify (+ 0 0) into 0 15.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.305 * [taylor]: Taking taylor expansion of (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in K 15.305 * [taylor]: Taking taylor expansion of -2 in K 15.305 * [backup-simplify]: Simplify -2 into -2 15.305 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 15.305 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.305 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.305 * [taylor]: Taking taylor expansion of -1/2 in K 15.305 * [backup-simplify]: Simplify -1/2 into -1/2 15.305 * [taylor]: Taking taylor expansion of K in K 15.305 * [backup-simplify]: Simplify 0 into 0 15.305 * [backup-simplify]: Simplify 1 into 1 15.306 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.306 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.306 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 15.306 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.306 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 15.306 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.306 * [taylor]: Taking taylor expansion of 1 in K 15.306 * [backup-simplify]: Simplify 1 into 1 15.306 * [taylor]: Taking taylor expansion of 1 in K 15.306 * [backup-simplify]: Simplify 1 into 1 15.306 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 15.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 15.306 * [taylor]: Taking taylor expansion of 1/2 in K 15.306 * [backup-simplify]: Simplify 1/2 into 1/2 15.306 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 15.306 * [taylor]: Taking taylor expansion of J in K 15.306 * [backup-simplify]: Simplify J into J 15.306 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 15.306 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.306 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.307 * [taylor]: Taking taylor expansion of -1/2 in K 15.307 * [backup-simplify]: Simplify -1/2 into -1/2 15.307 * [taylor]: Taking taylor expansion of K in K 15.307 * [backup-simplify]: Simplify 0 into 0 15.307 * [backup-simplify]: Simplify 1 into 1 15.307 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.307 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.307 * [taylor]: Taking taylor expansion of U in K 15.307 * [backup-simplify]: Simplify U into U 15.307 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.307 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 15.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 15.307 * [taylor]: Taking taylor expansion of 1/2 in K 15.307 * [backup-simplify]: Simplify 1/2 into 1/2 15.307 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 15.307 * [taylor]: Taking taylor expansion of J in K 15.307 * [backup-simplify]: Simplify J into J 15.307 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 15.308 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.308 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.308 * [taylor]: Taking taylor expansion of -1/2 in K 15.308 * [backup-simplify]: Simplify -1/2 into -1/2 15.308 * [taylor]: Taking taylor expansion of K in K 15.308 * [backup-simplify]: Simplify 0 into 0 15.308 * [backup-simplify]: Simplify 1 into 1 15.308 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.308 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.308 * [taylor]: Taking taylor expansion of U in K 15.308 * [backup-simplify]: Simplify U into U 15.308 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.308 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 15.309 * [backup-simplify]: Simplify (* 1 1) into 1 15.309 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 15.309 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 15.309 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.310 * [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))))) 15.310 * [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)))))) 15.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 15.311 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 15.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 15.312 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 15.313 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 15.313 * [backup-simplify]: Simplify (+ 0 0) into 0 15.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.313 * [taylor]: Taking taylor expansion of (* -2 (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in K 15.313 * [taylor]: Taking taylor expansion of -2 in K 15.313 * [backup-simplify]: Simplify -2 into -2 15.313 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 15.313 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.313 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.313 * [taylor]: Taking taylor expansion of -1/2 in K 15.313 * [backup-simplify]: Simplify -1/2 into -1/2 15.313 * [taylor]: Taking taylor expansion of K in K 15.313 * [backup-simplify]: Simplify 0 into 0 15.313 * [backup-simplify]: Simplify 1 into 1 15.314 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.314 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.314 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 15.314 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.314 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 15.314 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.314 * [taylor]: Taking taylor expansion of 1 in K 15.314 * [backup-simplify]: Simplify 1 into 1 15.314 * [taylor]: Taking taylor expansion of 1 in K 15.314 * [backup-simplify]: Simplify 1 into 1 15.314 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 15.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 15.314 * [taylor]: Taking taylor expansion of 1/2 in K 15.314 * [backup-simplify]: Simplify 1/2 into 1/2 15.314 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 15.314 * [taylor]: Taking taylor expansion of J in K 15.314 * [backup-simplify]: Simplify J into J 15.314 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 15.314 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.314 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.314 * [taylor]: Taking taylor expansion of -1/2 in K 15.314 * [backup-simplify]: Simplify -1/2 into -1/2 15.314 * [taylor]: Taking taylor expansion of K in K 15.314 * [backup-simplify]: Simplify 0 into 0 15.314 * [backup-simplify]: Simplify 1 into 1 15.314 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.315 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.315 * [taylor]: Taking taylor expansion of U in K 15.315 * [backup-simplify]: Simplify U into U 15.315 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.315 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 15.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 15.315 * [taylor]: Taking taylor expansion of 1/2 in K 15.315 * [backup-simplify]: Simplify 1/2 into 1/2 15.315 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 15.315 * [taylor]: Taking taylor expansion of J in K 15.315 * [backup-simplify]: Simplify J into J 15.315 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 15.315 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.315 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.315 * [taylor]: Taking taylor expansion of -1/2 in K 15.315 * [backup-simplify]: Simplify -1/2 into -1/2 15.315 * [taylor]: Taking taylor expansion of K in K 15.315 * [backup-simplify]: Simplify 0 into 0 15.315 * [backup-simplify]: Simplify 1 into 1 15.315 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.315 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.315 * [taylor]: Taking taylor expansion of U in K 15.315 * [backup-simplify]: Simplify U into U 15.315 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.315 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 15.316 * [backup-simplify]: Simplify (* 1 1) into 1 15.316 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 15.316 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 15.316 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.316 * [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))))) 15.316 * [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)))))) 15.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.317 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 15.317 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 15.318 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 15.318 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 15.319 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 15.319 * [backup-simplify]: Simplify (+ 0 0) into 0 15.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.319 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 15.320 * [backup-simplify]: Simplify (* -2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (* -2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 15.320 * [taylor]: Taking taylor expansion of (* -2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 15.320 * [taylor]: Taking taylor expansion of -2 in U 15.320 * [backup-simplify]: Simplify -2 into -2 15.320 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 15.320 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.320 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.320 * [taylor]: Taking taylor expansion of -1/2 in U 15.320 * [backup-simplify]: Simplify -1/2 into -1/2 15.320 * [taylor]: Taking taylor expansion of K in U 15.320 * [backup-simplify]: Simplify K into K 15.320 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.320 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.320 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.320 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.320 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.320 * [taylor]: Taking taylor expansion of 1 in U 15.320 * [backup-simplify]: Simplify 1 into 1 15.320 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.320 * [taylor]: Taking taylor expansion of 1/4 in U 15.320 * [backup-simplify]: Simplify 1/4 into 1/4 15.320 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.320 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.320 * [taylor]: Taking taylor expansion of J in U 15.320 * [backup-simplify]: Simplify J into J 15.320 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.320 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.320 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.320 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.320 * [taylor]: Taking taylor expansion of -1/2 in U 15.320 * [backup-simplify]: Simplify -1/2 into -1/2 15.320 * [taylor]: Taking taylor expansion of K in U 15.320 * [backup-simplify]: Simplify K into K 15.320 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.320 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.320 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.320 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.320 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.321 * [backup-simplify]: Simplify (- 0) into 0 15.321 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.321 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.321 * [taylor]: Taking taylor expansion of U in U 15.321 * [backup-simplify]: Simplify 0 into 0 15.321 * [backup-simplify]: Simplify 1 into 1 15.321 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.321 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.321 * [backup-simplify]: Simplify (* 1 1) into 1 15.321 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.321 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.322 * [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))) 15.322 * [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))) 15.322 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.322 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.323 * [backup-simplify]: Simplify (+ 0) into 0 15.323 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.323 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.324 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.324 * [backup-simplify]: Simplify (- 0) into 0 15.324 * [backup-simplify]: Simplify (+ 0 0) into 0 15.324 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.325 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.325 * [backup-simplify]: 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 15.325 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.326 * [backup-simplify]: Simplify (+ 0 0) into 0 15.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.326 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.326 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.326 * [backup-simplify]: Simplify (- 0) into 0 15.326 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.326 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 15.326 * [backup-simplify]: Simplify (* -2 (* 1/2 J)) into (* -1 J) 15.326 * [taylor]: Taking taylor expansion of (* -1 J) in J 15.326 * [taylor]: Taking taylor expansion of -1 in J 15.326 * [backup-simplify]: Simplify -1 into -1 15.326 * [taylor]: Taking taylor expansion of J in J 15.326 * [backup-simplify]: Simplify 0 into 0 15.326 * [backup-simplify]: Simplify 1 into 1 15.327 * [backup-simplify]: Simplify (* -1 0) into 0 15.327 * [backup-simplify]: Simplify 0 into 0 15.327 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.328 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 15.328 * [taylor]: Taking taylor expansion of 0 in U 15.328 * [backup-simplify]: Simplify 0 into 0 15.328 * [backup-simplify]: Simplify (+ 0) into 0 15.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.328 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.329 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.329 * [backup-simplify]: Simplify (- 0) into 0 15.330 * [backup-simplify]: Simplify (+ 0 0) into 0 15.330 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.330 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* 1/2 J))) into 0 15.330 * [taylor]: Taking taylor expansion of 0 in J 15.330 * [backup-simplify]: Simplify 0 into 0 15.330 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 15.331 * [backup-simplify]: Simplify -1 into -1 15.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.332 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 15.332 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (* (cos (/ -1/2 K)) U))))) into 0 15.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 15.333 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (* (cos (/ -1/2 K)) U))))) into 0 15.334 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 15.335 * [backup-simplify]: Simplify (+ 0 0) into 0 15.335 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.336 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 15.337 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))))) into 0 15.337 * [taylor]: Taking taylor expansion of 0 in U 15.337 * [backup-simplify]: Simplify 0 into 0 15.337 * [taylor]: Taking taylor expansion of 0 in J 15.337 * [backup-simplify]: Simplify 0 into 0 15.337 * [backup-simplify]: Simplify 0 into 0 15.337 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.338 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.339 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.340 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.340 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.340 * [backup-simplify]: Simplify (- 0) into 0 15.340 * [backup-simplify]: Simplify (+ 0 0) into 0 15.341 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.341 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.342 * [backup-simplify]: 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 15.342 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.343 * [backup-simplify]: Simplify (+ 1 0) into 1 15.343 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.344 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.344 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.345 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.345 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.346 * [backup-simplify]: Simplify (- 0) into 0 15.346 * [backup-simplify]: Simplify (+ 0 0) into 0 15.347 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 15.348 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ -1/2 K)) 2) J)) (+ (* 0 0) (* 0 (* 1/2 J)))) into (- (* 2 (/ (pow (cos (/ -1/2 K)) 2) J))) 15.348 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ -1/2 K)) 2) J))) in J 15.348 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) J)) in J 15.348 * [taylor]: Taking taylor expansion of 2 in J 15.348 * [backup-simplify]: Simplify 2 into 2 15.348 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) J) in J 15.348 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.348 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.348 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.348 * [taylor]: Taking taylor expansion of -1/2 in J 15.348 * [backup-simplify]: Simplify -1/2 into -1/2 15.348 * [taylor]: Taking taylor expansion of K in J 15.348 * [backup-simplify]: Simplify K into K 15.348 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.348 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.348 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.348 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.348 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.349 * [backup-simplify]: Simplify (- 0) into 0 15.349 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.349 * [taylor]: Taking taylor expansion of J in J 15.349 * [backup-simplify]: Simplify 0 into 0 15.349 * [backup-simplify]: Simplify 1 into 1 15.349 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.349 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 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 (- (/ 0 K) (+ (* (/ -1/2 K) (/ 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 15.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 15.354 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 15.354 * [backup-simplify]: Simplify (- 0) into 0 15.354 * [backup-simplify]: Simplify 0 into 0 15.354 * [backup-simplify]: Simplify 0 into 0 15.355 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 15.355 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.357 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0 15.358 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 15.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0 15.361 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 15.362 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) into 0 15.362 * [backup-simplify]: Simplify (+ 0 0) into 0 15.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.364 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))))) into 0 15.365 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))))) into 0 15.365 * [taylor]: Taking taylor expansion of 0 in U 15.365 * [backup-simplify]: Simplify 0 into 0 15.365 * [taylor]: Taking taylor expansion of 0 in J 15.365 * [backup-simplify]: Simplify 0 into 0 15.365 * [backup-simplify]: Simplify 0 into 0 15.365 * [taylor]: Taking taylor expansion of 0 in J 15.365 * [backup-simplify]: Simplify 0 into 0 15.365 * [backup-simplify]: Simplify 0 into 0 15.365 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- J)) (* (/ 1 (/ 1 (- U))) 1))) into (* -1 (/ U J)) 15.365 * * * [progress]: simplifying candidates 15.365 * * * * [progress]: [ 1 / 325 ] simplifiying candidate # 15.365 * * * * [progress]: [ 2 / 325 ] simplifiying candidate # 15.365 * * * * [progress]: [ 3 / 325 ] simplifiying candidate # 15.365 * * * * [progress]: [ 4 / 325 ] simplifiying candidate # 15.366 * * * * [progress]: [ 5 / 325 ] simplifiying candidate # 15.366 * * * * [progress]: [ 6 / 325 ] simplifiying candidate # 15.366 * * * * [progress]: [ 7 / 325 ] simplifiying candidate # 15.366 * * * * [progress]: [ 8 / 325 ] simplifiying candidate # 15.366 * * * * [progress]: [ 9 / 325 ] simplifiying candidate # 15.366 * * * * [progress]: [ 10 / 325 ] simplifiying candidate # 15.366 * * * * [progress]: [ 11 / 325 ] simplifiying candidate # 15.366 * * * * [progress]: [ 12 / 325 ] simplifiying candidate # 15.366 * * * * [progress]: [ 13 / 325 ] simplifiying candidate # 15.366 * * * * [progress]: [ 14 / 325 ] 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# 15.370 * * * * [progress]: [ 90 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 91 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 92 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 93 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 94 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 95 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 96 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 97 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 98 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 99 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 100 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 101 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 102 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 103 / 325 ] simplifiying candidate # 15.370 * * * * [progress]: [ 104 / 325 ] simplifiying candidate # 15.370 * * * * 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J) (cos (/ K 2))) 2))))) J))> 15.380 * * * * [progress]: [ 313 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 314 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 315 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 316 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 317 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 318 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 319 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 320 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 321 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 322 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 323 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 324 / 325 ] simplifiying candidate # 15.380 * * * * [progress]: [ 325 / 325 ] simplifiying candidate # 15.384 * [simplify]: Simplifying: (expm1 (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) J)) (log1p (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) J)) (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) J) (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) J) (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) J) (+ (+ (+ (log -2) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (log J)) (+ (+ (log (* -2 (cos (/ K 2)))) (log (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (log J)) (+ (log (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (log J)) (log (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) J)) (exp (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) J)) (* (* (* (* (* -2 -2) -2) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* J J) J)) (* (* (* (* (* -2 (cos (/ K 2))) (* -2 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[simplify]: Extracting #4: cost 672 inf + 88669 15.694 * * [simplify]: Extracting #5: cost 240 inf + 235130 15.750 * * [simplify]: Extracting #6: cost 29 inf + 323856 15.837 * * [simplify]: Extracting #7: cost 0 inf + 337322 15.897 * * [simplify]: Extracting #8: cost 0 inf + 337242 15.961 * [simplify]: Simplified to: (expm1 (* (* (cos (/ K 2)) -2) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) J))) (log1p (* (* (cos (/ K 2)) -2) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) J))) (* (* (cos (/ K 2)) -2) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) J)) (* (* (cos (/ K 2)) -2) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) J)) (* (* (cos (/ K 2)) -2) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) J)) (log (* (* (cos (/ K 2)) -2) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) J))) (log (* (* (cos (/ K 2)) -2) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) J))) (log (* (* (cos (/ K 2)) -2) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) J))) (log (* (* (cos (/ K 2)) -2) (* (hypot 1 (/ (/ (/ U J) (cos (/ 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(sqrt U) (sqrt J)) (cos (/ K 2))) (/ (sqrt U) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ (sqrt U) J) (cbrt (cos (/ K 2)))) (/ (sqrt U) (sqrt (cos (/ K 2)))) (/ (/ (sqrt U) J) (sqrt (cos (/ K 2)))) (sqrt U) (/ (/ (sqrt U) J) (cos (/ K 2))) (/ (/ (/ (/ 1 (cbrt J)) (cbrt J)) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (/ (/ U (cbrt J)) (cbrt (cos (/ K 2)))) (/ (/ (/ 1 (cbrt J)) (cbrt J)) (sqrt (cos (/ K 2)))) (/ (/ U (cbrt J)) (sqrt (cos (/ K 2)))) (/ (/ 1 (cbrt J)) (cbrt J)) (/ (/ U (cbrt J)) (cos (/ K 2))) (/ (/ 1 (sqrt J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ U (sqrt J)) (cbrt (cos (/ K 2)))) (/ 1 (* (sqrt (cos (/ K 2))) (sqrt J))) (/ (/ U (sqrt J)) (sqrt (cos (/ K 2)))) (/ 1 (sqrt J)) (/ U (* (cos (/ K 2)) (sqrt J))) (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ U (* (cbrt (cos (/ K 2))) J)) (/ 1 (sqrt (cos (/ K 2)))) (/ U (* (sqrt (cos (/ K 2))) J)) 1 (/ (/ U J) (cos (/ K 2))) (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ U (* (cbrt (cos (/ K 2))) J)) (/ 1 (sqrt (cos (/ K 2)))) (/ U (* (sqrt (cos (/ K 2))) J)) 1 (/ (/ U J) (cos (/ K 2))) (/ U (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ 1 J) (cbrt (cos (/ K 2)))) (/ U (sqrt (cos (/ K 2)))) (/ (/ 1 J) (sqrt (cos (/ K 2)))) U (/ (/ 1 J) (cos (/ K 2))) (/ 1 (cos (/ K 2))) (* (/ (cos (/ K 2)) U) J) (/ (/ (/ U J) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (/ U (* (sqrt (cos (/ K 2))) J)) (/ U J) (/ (cos (/ K 2)) (cbrt (/ U J))) (/ (cos (/ K 2)) (sqrt (/ U J))) (/ (cos (/ K 2)) (/ (cbrt U) (cbrt J))) (/ (cos (/ K 2)) (/ (cbrt U) (sqrt J))) (/ (cos (/ K 2)) (/ (cbrt U) J)) (/ (cos (/ K 2)) (/ (sqrt U) (cbrt J))) (/ (cos (/ K 2)) (/ (sqrt U) (sqrt J))) (/ (cos (/ K 2)) (/ (sqrt U) J)) (* (/ (cos (/ K 2)) U) (cbrt J)) (/ (cos (/ K 2)) (/ U (sqrt J))) (* (/ (cos (/ K 2)) U) J) (* (/ (cos (/ K 2)) U) J) (* (/ (cos (/ K 2)) 1) J) (* (cos (/ K 2)) J) (real->posit16 (/ (/ U J) (cos (/ K 2)))) (expm1 (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (log1p (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (log (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (log (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (log (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (exp (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* (* -2 -2) -2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (* (* (* (* (cos (/ K 2)) -2) (* (* (cos (/ K 2)) -2) (* (cos (/ K 2)) -2))) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cbrt (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (cbrt (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (cbrt (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (sqrt (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (sqrt (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* (* (cos (/ K 2)) -2) (cbrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (cbrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (sqrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) -2)) (* (cos (/ K 2)) -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (real->posit16 (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (- (fma 2 J (* 1/4 (/ (* U U) J)))) (- U) (- U) (fma 1/16 (/ (* K K) (/ J U)) (* (/ U J) 1/2)) (/ (* 1/2 U) (* J (cos (* 1/2 K)))) (/ (* 1/2 U) (* J (cos (* 1/2 K)))) (fma 1/8 (/ (* K K) (/ J U)) (/ U J)) (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K)))) (- (* (* K K) 1/4) 2) (/ (- U) J) (/ (- U) J) 16.038 * * * [progress]: adding candidates to table 21.647 * * [progress]: iteration 4 / 4 21.648 * * * [progress]: picking best candidate 21.712 * * * * [pick]: Picked # 21.712 * * * [progress]: localizing error 21.796 * * * [progress]: generating rewritten candidates 21.797 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 21.938 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 21.939 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 21.940 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 21.942 * * * [progress]: generating series expansions 21.942 * * * * [progress]: [ 1 / 4 ] generating series at (2) 21.942 * [backup-simplify]: Simplify (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 21.942 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 21.942 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 21.942 * [taylor]: Taking taylor expansion of -2 in K 21.942 * [backup-simplify]: Simplify -2 into -2 21.942 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 21.942 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.943 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.943 * [taylor]: Taking taylor expansion of 1/2 in K 21.943 * [backup-simplify]: Simplify 1/2 into 1/2 21.943 * [taylor]: Taking taylor expansion of K in K 21.943 * [backup-simplify]: Simplify 0 into 0 21.943 * [backup-simplify]: Simplify 1 into 1 21.943 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.944 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.944 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 21.944 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 21.944 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 21.944 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 21.944 * [taylor]: Taking taylor expansion of (* 1 1) in K 21.944 * [taylor]: Taking taylor expansion of 1 in K 21.944 * [backup-simplify]: Simplify 1 into 1 21.944 * [taylor]: Taking taylor expansion of 1 in K 21.944 * [backup-simplify]: Simplify 1 into 1 21.944 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 21.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 21.944 * [taylor]: Taking taylor expansion of 1/2 in K 21.944 * [backup-simplify]: Simplify 1/2 into 1/2 21.944 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 21.944 * [taylor]: Taking taylor expansion of U in K 21.944 * [backup-simplify]: Simplify U into U 21.944 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 21.944 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.944 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.944 * [taylor]: Taking taylor expansion of 1/2 in K 21.944 * [backup-simplify]: Simplify 1/2 into 1/2 21.944 * [taylor]: Taking taylor expansion of K in K 21.944 * [backup-simplify]: Simplify 0 into 0 21.944 * [backup-simplify]: Simplify 1 into 1 21.945 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.945 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.945 * [taylor]: Taking taylor expansion of J in K 21.945 * [backup-simplify]: Simplify J into J 21.945 * [backup-simplify]: Simplify (* 1 J) into J 21.945 * [backup-simplify]: Simplify (/ U J) into (/ U J) 21.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 21.945 * [taylor]: Taking taylor expansion of 1/2 in K 21.945 * [backup-simplify]: Simplify 1/2 into 1/2 21.945 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 21.945 * [taylor]: Taking taylor expansion of U in K 21.945 * [backup-simplify]: Simplify U into U 21.945 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 21.945 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.945 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.945 * [taylor]: Taking taylor expansion of 1/2 in K 21.945 * [backup-simplify]: Simplify 1/2 into 1/2 21.945 * [taylor]: Taking taylor expansion of K in K 21.945 * [backup-simplify]: Simplify 0 into 0 21.945 * [backup-simplify]: Simplify 1 into 1 21.946 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.946 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.946 * [taylor]: Taking taylor expansion of J in K 21.946 * [backup-simplify]: Simplify J into J 21.946 * [backup-simplify]: Simplify (* 1 J) into J 21.946 * [backup-simplify]: Simplify (/ U J) into (/ U J) 21.947 * [backup-simplify]: Simplify (* 1 1) into 1 21.947 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 21.947 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 21.947 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 21.947 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 21.947 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 21.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.948 * [backup-simplify]: Simplify (+ 0) into 0 21.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 21.948 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 21.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 21.949 * [backup-simplify]: Simplify (+ 0) into 0 21.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 21.949 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 21.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 21.950 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 21.950 * [backup-simplify]: Simplify (+ 0 0) into 0 21.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 21.950 * [taylor]: Taking taylor expansion of J in K 21.950 * [backup-simplify]: Simplify J into J 21.950 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 21.950 * [taylor]: Taking taylor expansion of -2 in J 21.950 * [backup-simplify]: Simplify -2 into -2 21.950 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 21.950 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.950 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.950 * [taylor]: Taking taylor expansion of 1/2 in J 21.950 * [backup-simplify]: Simplify 1/2 into 1/2 21.950 * [taylor]: Taking taylor expansion of K in J 21.950 * [backup-simplify]: Simplify K into K 21.950 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.950 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.950 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.950 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 21.950 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 21.950 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 21.950 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 21.950 * [taylor]: Taking taylor expansion of (* 1 1) in J 21.950 * [taylor]: Taking taylor expansion of 1 in J 21.950 * [backup-simplify]: Simplify 1 into 1 21.950 * [taylor]: Taking taylor expansion of 1 in J 21.950 * [backup-simplify]: Simplify 1 into 1 21.950 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 21.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 21.950 * [taylor]: Taking taylor expansion of 1/2 in J 21.951 * [backup-simplify]: Simplify 1/2 into 1/2 21.951 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 21.951 * [taylor]: Taking taylor expansion of U in J 21.951 * [backup-simplify]: Simplify U into U 21.951 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.951 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.951 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.951 * [taylor]: Taking taylor expansion of 1/2 in J 21.951 * [backup-simplify]: Simplify 1/2 into 1/2 21.951 * [taylor]: Taking taylor expansion of K in J 21.951 * [backup-simplify]: Simplify K into K 21.951 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.951 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.951 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.951 * [taylor]: Taking taylor expansion of J in J 21.951 * [backup-simplify]: Simplify 0 into 0 21.951 * [backup-simplify]: Simplify 1 into 1 21.951 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.951 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.951 * [backup-simplify]: Simplify (- 0) into 0 21.951 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.951 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.952 * [backup-simplify]: Simplify (+ 0) into 0 21.952 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.953 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.953 * [backup-simplify]: Simplify (- 0) into 0 21.954 * [backup-simplify]: Simplify (+ 0 0) into 0 21.954 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.954 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 21.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 21.954 * [taylor]: Taking taylor expansion of 1/2 in J 21.954 * [backup-simplify]: Simplify 1/2 into 1/2 21.954 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 21.954 * [taylor]: Taking taylor expansion of U in J 21.954 * [backup-simplify]: Simplify U into U 21.954 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.954 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.954 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.954 * [taylor]: Taking taylor expansion of 1/2 in J 21.954 * [backup-simplify]: Simplify 1/2 into 1/2 21.954 * [taylor]: Taking taylor expansion of K in J 21.954 * [backup-simplify]: Simplify K into K 21.954 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.954 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.954 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.954 * [taylor]: Taking taylor expansion of J in J 21.954 * [backup-simplify]: Simplify 0 into 0 21.954 * [backup-simplify]: Simplify 1 into 1 21.954 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.954 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.955 * [backup-simplify]: Simplify (- 0) into 0 21.955 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.955 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.955 * [backup-simplify]: Simplify (+ 0) into 0 21.955 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.956 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.956 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.957 * [backup-simplify]: Simplify (- 0) into 0 21.957 * [backup-simplify]: Simplify (+ 0 0) into 0 21.958 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.958 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 21.958 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.958 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.958 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 21.959 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 21.959 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.960 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.961 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.962 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.963 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.963 * [backup-simplify]: Simplify (- 0) into 0 21.964 * [backup-simplify]: Simplify (+ 0 0) into 0 21.964 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.965 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 21.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 21.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.967 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.969 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.969 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.970 * [backup-simplify]: Simplify (- 0) into 0 21.970 * [backup-simplify]: Simplify (+ 0 0) into 0 21.971 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.971 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 21.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 21.972 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 21.973 * [backup-simplify]: Simplify (+ 0 0) into 0 21.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 21.973 * [taylor]: Taking taylor expansion of J in J 21.973 * [backup-simplify]: Simplify 0 into 0 21.973 * [backup-simplify]: Simplify 1 into 1 21.973 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 21.973 * [taylor]: Taking taylor expansion of -2 in U 21.973 * [backup-simplify]: Simplify -2 into -2 21.973 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 21.973 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.973 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.973 * [taylor]: Taking taylor expansion of 1/2 in U 21.973 * [backup-simplify]: Simplify 1/2 into 1/2 21.973 * [taylor]: Taking taylor expansion of K in U 21.973 * [backup-simplify]: Simplify K into K 21.973 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.973 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.973 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.973 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 21.973 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 21.973 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 21.974 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 21.974 * [taylor]: Taking taylor expansion of (* 1 1) in U 21.974 * [taylor]: Taking taylor expansion of 1 in U 21.974 * [backup-simplify]: Simplify 1 into 1 21.974 * [taylor]: Taking taylor expansion of 1 in U 21.974 * [backup-simplify]: Simplify 1 into 1 21.974 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 21.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 21.974 * [taylor]: Taking taylor expansion of 1/2 in U 21.974 * [backup-simplify]: Simplify 1/2 into 1/2 21.974 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 21.974 * [taylor]: Taking taylor expansion of U in U 21.974 * [backup-simplify]: Simplify 0 into 0 21.974 * [backup-simplify]: Simplify 1 into 1 21.974 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 21.974 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.974 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.974 * [taylor]: Taking taylor expansion of 1/2 in U 21.974 * [backup-simplify]: Simplify 1/2 into 1/2 21.974 * [taylor]: Taking taylor expansion of K in U 21.974 * [backup-simplify]: Simplify K into K 21.974 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.974 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.974 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.974 * [taylor]: Taking taylor expansion of J in U 21.974 * [backup-simplify]: Simplify J into J 21.974 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.974 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.975 * [backup-simplify]: Simplify (- 0) into 0 21.975 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.975 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 21.975 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 21.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 21.975 * [taylor]: Taking taylor expansion of 1/2 in U 21.975 * [backup-simplify]: Simplify 1/2 into 1/2 21.975 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 21.975 * [taylor]: Taking taylor expansion of U in U 21.975 * [backup-simplify]: Simplify 0 into 0 21.975 * [backup-simplify]: Simplify 1 into 1 21.975 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 21.975 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.975 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.975 * [taylor]: Taking taylor expansion of 1/2 in U 21.975 * [backup-simplify]: Simplify 1/2 into 1/2 21.975 * [taylor]: Taking taylor expansion of K in U 21.976 * [backup-simplify]: Simplify K into K 21.976 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.976 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.976 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.976 * [taylor]: Taking taylor expansion of J in U 21.976 * [backup-simplify]: Simplify J into J 21.976 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.976 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.976 * [backup-simplify]: Simplify (- 0) into 0 21.976 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.977 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 21.977 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 21.977 * [backup-simplify]: Simplify (* 1 1) into 1 21.978 * [backup-simplify]: Simplify (+ 1 0) into 1 21.978 * [backup-simplify]: Simplify (sqrt 1) into 1 21.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.979 * [backup-simplify]: Simplify (+ 0 0) into 0 21.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.980 * [taylor]: Taking taylor expansion of J in U 21.980 * [backup-simplify]: Simplify J into J 21.980 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 21.980 * [taylor]: Taking taylor expansion of -2 in U 21.980 * [backup-simplify]: Simplify -2 into -2 21.980 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 21.980 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.980 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.980 * [taylor]: Taking taylor expansion of 1/2 in U 21.980 * [backup-simplify]: Simplify 1/2 into 1/2 21.980 * [taylor]: Taking taylor expansion of K in U 21.980 * [backup-simplify]: Simplify K into K 21.980 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.980 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.980 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.980 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 21.980 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 21.980 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 21.980 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 21.980 * [taylor]: Taking taylor expansion of (* 1 1) in U 21.981 * [taylor]: Taking taylor expansion of 1 in U 21.981 * [backup-simplify]: Simplify 1 into 1 21.981 * [taylor]: Taking taylor expansion of 1 in U 21.981 * [backup-simplify]: Simplify 1 into 1 21.981 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 21.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 21.981 * [taylor]: Taking taylor expansion of 1/2 in U 21.981 * [backup-simplify]: Simplify 1/2 into 1/2 21.981 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 21.981 * [taylor]: Taking taylor expansion of U in U 21.981 * [backup-simplify]: Simplify 0 into 0 21.981 * [backup-simplify]: Simplify 1 into 1 21.981 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 21.981 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.981 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.981 * [taylor]: Taking taylor expansion of 1/2 in U 21.981 * [backup-simplify]: Simplify 1/2 into 1/2 21.981 * [taylor]: Taking taylor expansion of K in U 21.981 * [backup-simplify]: Simplify K into K 21.981 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.981 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.981 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.981 * [taylor]: Taking taylor expansion of J in U 21.981 * [backup-simplify]: Simplify J into J 21.981 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.981 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.981 * [backup-simplify]: Simplify (- 0) into 0 21.981 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.981 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 21.982 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 21.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 21.982 * [taylor]: Taking taylor expansion of 1/2 in U 21.982 * [backup-simplify]: Simplify 1/2 into 1/2 21.982 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 21.982 * [taylor]: Taking taylor expansion of U in U 21.982 * [backup-simplify]: Simplify 0 into 0 21.982 * [backup-simplify]: Simplify 1 into 1 21.982 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 21.982 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.982 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.982 * [taylor]: Taking taylor expansion of 1/2 in U 21.982 * [backup-simplify]: Simplify 1/2 into 1/2 21.982 * [taylor]: Taking taylor expansion of K in U 21.982 * [backup-simplify]: Simplify K into K 21.982 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.982 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.982 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.982 * [taylor]: Taking taylor expansion of J in U 21.982 * [backup-simplify]: Simplify J into J 21.982 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.982 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.982 * [backup-simplify]: Simplify (- 0) into 0 21.982 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.982 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 21.982 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 21.987 * [backup-simplify]: Simplify (* 1 1) into 1 21.988 * [backup-simplify]: Simplify (+ 1 0) into 1 21.988 * [backup-simplify]: Simplify (sqrt 1) into 1 21.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.989 * [backup-simplify]: Simplify (+ 0 0) into 0 21.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.989 * [taylor]: Taking taylor expansion of J in U 21.990 * [backup-simplify]: Simplify J into J 21.990 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.990 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.990 * [backup-simplify]: Simplify (- 0) into 0 21.990 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.990 * [backup-simplify]: Simplify (* 1 J) into J 21.990 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 21.990 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 21.990 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 21.990 * [taylor]: Taking taylor expansion of -2 in J 21.990 * [backup-simplify]: Simplify -2 into -2 21.990 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.990 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.990 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.990 * [taylor]: Taking taylor expansion of 1/2 in J 21.990 * [backup-simplify]: Simplify 1/2 into 1/2 21.990 * [taylor]: Taking taylor expansion of K in J 21.990 * [backup-simplify]: Simplify K into K 21.990 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.991 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.991 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.991 * [taylor]: Taking taylor expansion of J in J 21.991 * [backup-simplify]: Simplify 0 into 0 21.991 * [backup-simplify]: Simplify 1 into 1 21.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 21.991 * [backup-simplify]: Simplify (+ 0) into 0 21.992 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.993 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.993 * [backup-simplify]: Simplify (- 0) into 0 21.994 * [backup-simplify]: Simplify (+ 0 0) into 0 21.994 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 21.994 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 21.994 * [taylor]: Taking taylor expansion of 0 in J 21.994 * [backup-simplify]: Simplify 0 into 0 21.994 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.994 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.994 * [backup-simplify]: Simplify (- 0) into 0 21.994 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.995 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.995 * [backup-simplify]: Simplify (* -2 0) into 0 21.995 * [taylor]: Taking taylor expansion of 0 in K 21.995 * [backup-simplify]: Simplify 0 into 0 21.995 * [backup-simplify]: Simplify 0 into 0 21.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.996 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 21.996 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 21.996 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 21.996 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 21.997 * [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))) 21.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 21.998 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.999 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 22.000 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.000 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.000 * [backup-simplify]: Simplify (- 0) into 0 22.000 * [backup-simplify]: Simplify (+ 0 0) into 0 22.001 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 22.001 * [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)))) 22.001 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 22.001 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 22.001 * [taylor]: Taking taylor expansion of 1/4 in J 22.001 * [backup-simplify]: Simplify 1/4 into 1/4 22.001 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 22.001 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 22.001 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 22.001 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 22.001 * [taylor]: Taking taylor expansion of 1/2 in J 22.001 * [backup-simplify]: Simplify 1/2 into 1/2 22.001 * [taylor]: Taking taylor expansion of K in J 22.002 * [backup-simplify]: Simplify K into K 22.002 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 22.002 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 22.002 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 22.002 * [taylor]: Taking taylor expansion of J in J 22.002 * [backup-simplify]: Simplify 0 into 0 22.002 * [backup-simplify]: Simplify 1 into 1 22.002 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 22.002 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 22.002 * [backup-simplify]: Simplify (- 0) into 0 22.002 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 22.002 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 22.002 * [backup-simplify]: Simplify (+ 0) into 0 22.003 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 22.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 22.004 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.004 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 22.004 * [backup-simplify]: Simplify (- 0) into 0 22.004 * [backup-simplify]: Simplify (+ 0 0) into 0 22.005 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 22.005 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 22.005 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 22.005 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 22.005 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 22.005 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 22.005 * [taylor]: Taking taylor expansion of 1/4 in K 22.005 * [backup-simplify]: Simplify 1/4 into 1/4 22.005 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 22.005 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 22.005 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 22.005 * [taylor]: Taking taylor expansion of 1/2 in K 22.005 * [backup-simplify]: Simplify 1/2 into 1/2 22.005 * [taylor]: Taking taylor expansion of K in K 22.005 * [backup-simplify]: Simplify 0 into 0 22.005 * [backup-simplify]: Simplify 1 into 1 22.005 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.006 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.006 * [backup-simplify]: Simplify (/ 1 1) into 1 22.007 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 22.007 * [backup-simplify]: Simplify (- 1/4) into -1/4 22.007 * [backup-simplify]: Simplify -1/4 into -1/4 22.007 * [taylor]: Taking taylor expansion of 0 in K 22.007 * [backup-simplify]: Simplify 0 into 0 22.007 * [backup-simplify]: Simplify 0 into 0 22.007 * [backup-simplify]: Simplify (+ 0) into 0 22.007 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 22.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 22.008 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.009 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 22.009 * [backup-simplify]: Simplify (- 0) into 0 22.010 * [backup-simplify]: Simplify (+ 0 0) into 0 22.010 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 22.011 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 22.011 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 22.011 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 22.011 * [taylor]: Taking taylor expansion of 2 in K 22.011 * [backup-simplify]: Simplify 2 into 2 22.011 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 22.011 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 22.011 * [taylor]: Taking taylor expansion of 1/2 in K 22.011 * [backup-simplify]: Simplify 1/2 into 1/2 22.011 * [taylor]: Taking taylor expansion of K in K 22.011 * [backup-simplify]: Simplify 0 into 0 22.011 * [backup-simplify]: Simplify 1 into 1 22.011 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.012 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.013 * [backup-simplify]: Simplify (* 2 1) into 2 22.013 * [backup-simplify]: Simplify (- 2) into -2 22.013 * [backup-simplify]: Simplify -2 into -2 22.013 * [backup-simplify]: Simplify 0 into 0 22.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.015 * [backup-simplify]: Simplify (+ 0) into 0 22.015 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 22.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 22.017 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.017 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 22.018 * [backup-simplify]: Simplify (- 0) into 0 22.019 * [backup-simplify]: Simplify (+ 0 0) into 0 22.019 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 22.019 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 22.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 22.020 * [backup-simplify]: Simplify (+ 0) into 0 22.021 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 22.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 22.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.023 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 22.023 * [backup-simplify]: Simplify (- 0) into 0 22.023 * [backup-simplify]: Simplify (+ 0 0) into 0 22.023 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 22.024 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 22.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 22.025 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 22.025 * [backup-simplify]: Simplify (+ 0 0) into 0 22.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 22.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 22.028 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.029 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 22.032 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 22.033 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 22.033 * [backup-simplify]: Simplify (- 0) into 0 22.033 * [backup-simplify]: Simplify (+ 0 0) into 0 22.034 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 22.034 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 22.034 * [taylor]: Taking taylor expansion of 0 in J 22.035 * [backup-simplify]: Simplify 0 into 0 22.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.036 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 22.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.037 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.037 * [backup-simplify]: Simplify (- 0) into 0 22.038 * [backup-simplify]: Simplify (+ 0 0) into 0 22.038 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 22.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 22.039 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 22.039 * [backup-simplify]: Simplify (- 0) into 0 22.039 * [taylor]: Taking taylor expansion of 0 in K 22.039 * [backup-simplify]: Simplify 0 into 0 22.039 * [backup-simplify]: Simplify 0 into 0 22.039 * [taylor]: Taking taylor expansion of 0 in K 22.039 * [backup-simplify]: Simplify 0 into 0 22.039 * [backup-simplify]: Simplify 0 into 0 22.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 22.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.041 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.042 * [backup-simplify]: Simplify (- 0) into 0 22.042 * [backup-simplify]: Simplify (+ 0 0) into 0 22.042 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 22.043 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 22.043 * [taylor]: Taking taylor expansion of 0 in K 22.043 * [backup-simplify]: Simplify 0 into 0 22.043 * [backup-simplify]: Simplify 0 into 0 22.043 * [backup-simplify]: Simplify (+ 0) into 0 22.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.044 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 22.045 * [backup-simplify]: Simplify (- 0) into 0 22.045 * [backup-simplify]: Simplify 0 into 0 22.045 * [backup-simplify]: Simplify 0 into 0 22.045 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 22.046 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)))) -2) (* (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) (* (cbrt (cos (/ (/ 1 K) 2))) (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 22.046 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 22.046 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 22.046 * [taylor]: Taking taylor expansion of -2 in K 22.046 * [backup-simplify]: Simplify -2 into -2 22.046 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 22.046 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 22.046 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 22.046 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 22.046 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 22.046 * [taylor]: Taking taylor expansion of (* 1 1) in K 22.046 * [taylor]: Taking taylor expansion of 1 in K 22.046 * [backup-simplify]: Simplify 1 into 1 22.046 * [taylor]: Taking taylor expansion of 1 in K 22.046 * [backup-simplify]: Simplify 1 into 1 22.046 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 22.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 22.046 * [taylor]: Taking taylor expansion of 1/2 in K 22.046 * [backup-simplify]: Simplify 1/2 into 1/2 22.046 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 22.047 * [taylor]: Taking taylor expansion of J in K 22.047 * [backup-simplify]: Simplify J into J 22.047 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 22.047 * [taylor]: Taking taylor expansion of U in K 22.047 * [backup-simplify]: Simplify U into U 22.047 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 22.047 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 22.047 * [taylor]: Taking taylor expansion of 1/2 in K 22.047 * [backup-simplify]: Simplify 1/2 into 1/2 22.047 * [taylor]: Taking taylor expansion of K in K 22.047 * [backup-simplify]: Simplify 0 into 0 22.047 * [backup-simplify]: Simplify 1 into 1 22.047 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.047 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.048 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 22.048 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 22.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 22.048 * [taylor]: Taking taylor expansion of 1/2 in K 22.048 * [backup-simplify]: Simplify 1/2 into 1/2 22.048 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 22.048 * [taylor]: Taking taylor expansion of J in K 22.048 * [backup-simplify]: Simplify J into J 22.048 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 22.048 * [taylor]: Taking taylor expansion of U in K 22.048 * [backup-simplify]: Simplify U into U 22.048 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 22.048 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 22.048 * [taylor]: Taking taylor expansion of 1/2 in K 22.048 * [backup-simplify]: Simplify 1/2 into 1/2 22.048 * [taylor]: Taking taylor expansion of K in K 22.048 * [backup-simplify]: Simplify 0 into 0 22.048 * [backup-simplify]: Simplify 1 into 1 22.049 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.049 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.049 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 22.049 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 22.049 * [backup-simplify]: Simplify (* 1 1) into 1 22.050 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 22.050 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 22.050 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 22.050 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 22.051 * [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)) 22.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.052 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 22.052 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 22.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 22.053 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 22.053 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 22.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 22.054 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 22.055 * [backup-simplify]: Simplify (+ 0 0) into 0 22.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 22.055 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 22.055 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 22.055 * [taylor]: Taking taylor expansion of 1/2 in K 22.055 * [backup-simplify]: Simplify 1/2 into 1/2 22.056 * [taylor]: Taking taylor expansion of K in K 22.056 * [backup-simplify]: Simplify 0 into 0 22.056 * [backup-simplify]: Simplify 1 into 1 22.056 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.056 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.056 * [taylor]: Taking taylor expansion of J in K 22.056 * [backup-simplify]: Simplify J into J 22.057 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 22.057 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 22.057 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 22.057 * [taylor]: Taking taylor expansion of -2 in J 22.057 * [backup-simplify]: Simplify -2 into -2 22.057 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 22.057 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 22.057 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 22.058 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 22.058 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 22.058 * [taylor]: Taking taylor expansion of (* 1 1) in J 22.058 * [taylor]: Taking taylor expansion of 1 in J 22.058 * [backup-simplify]: Simplify 1 into 1 22.058 * [taylor]: Taking taylor expansion of 1 in J 22.058 * [backup-simplify]: Simplify 1 into 1 22.058 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 22.058 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 22.058 * [taylor]: Taking taylor expansion of 1/2 in J 22.058 * [backup-simplify]: Simplify 1/2 into 1/2 22.058 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 22.058 * [taylor]: Taking taylor expansion of J in J 22.058 * [backup-simplify]: Simplify 0 into 0 22.058 * [backup-simplify]: Simplify 1 into 1 22.058 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 22.058 * [taylor]: Taking taylor expansion of U in J 22.058 * [backup-simplify]: Simplify U into U 22.058 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 22.058 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 22.058 * [taylor]: Taking taylor expansion of 1/2 in J 22.058 * [backup-simplify]: Simplify 1/2 into 1/2 22.058 * [taylor]: Taking taylor expansion of K in J 22.058 * [backup-simplify]: Simplify K into K 22.058 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 22.058 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.058 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 22.059 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 22.059 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 22.059 * [backup-simplify]: Simplify (- 0) into 0 22.059 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 22.059 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 22.059 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 22.060 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 22.060 * [taylor]: Taking taylor expansion of 1/2 in J 22.060 * [backup-simplify]: Simplify 1/2 into 1/2 22.060 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 22.060 * [taylor]: Taking taylor expansion of J in J 22.060 * [backup-simplify]: Simplify 0 into 0 22.060 * [backup-simplify]: Simplify 1 into 1 22.060 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 22.060 * [taylor]: Taking taylor expansion of U in J 22.060 * [backup-simplify]: Simplify U into U 22.060 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 22.060 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 22.060 * [taylor]: Taking taylor expansion of 1/2 in J 22.060 * [backup-simplify]: Simplify 1/2 into 1/2 22.060 * [taylor]: Taking taylor expansion of K in J 22.060 * [backup-simplify]: Simplify K into K 22.060 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 22.060 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.060 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 22.060 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 22.060 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 22.061 * [backup-simplify]: Simplify (- 0) into 0 22.061 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 22.061 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 22.061 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 22.062 * [backup-simplify]: Simplify (* 1 1) into 1 22.062 * [backup-simplify]: Simplify (+ 1 0) into 1 22.062 * [backup-simplify]: Simplify (sqrt 1) into 1 22.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.064 * [backup-simplify]: Simplify (+ 0 0) into 0 22.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 22.064 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 22.064 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 22.064 * [taylor]: Taking taylor expansion of 1/2 in J 22.065 * [backup-simplify]: Simplify 1/2 into 1/2 22.065 * [taylor]: Taking taylor expansion of K in J 22.065 * [backup-simplify]: Simplify K into K 22.065 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 22.065 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.065 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 22.065 * [taylor]: Taking taylor expansion of J in J 22.065 * [backup-simplify]: Simplify 0 into 0 22.065 * [backup-simplify]: Simplify 1 into 1 22.065 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 22.065 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 22.065 * [backup-simplify]: Simplify (- 0) into 0 22.066 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 22.066 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 22.066 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 22.066 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 22.066 * [taylor]: Taking taylor expansion of -2 in U 22.066 * [backup-simplify]: Simplify -2 into -2 22.066 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 22.066 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 22.066 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 22.066 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 22.066 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 22.066 * [taylor]: Taking taylor expansion of (* 1 1) in U 22.066 * [taylor]: Taking taylor expansion of 1 in U 22.066 * [backup-simplify]: Simplify 1 into 1 22.066 * [taylor]: Taking taylor expansion of 1 in U 22.066 * [backup-simplify]: Simplify 1 into 1 22.066 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 22.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 22.066 * [taylor]: Taking taylor expansion of 1/2 in U 22.066 * [backup-simplify]: Simplify 1/2 into 1/2 22.066 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 22.066 * [taylor]: Taking taylor expansion of J in U 22.066 * [backup-simplify]: Simplify J into J 22.066 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 22.067 * [taylor]: Taking taylor expansion of U in U 22.067 * [backup-simplify]: Simplify 0 into 0 22.067 * [backup-simplify]: Simplify 1 into 1 22.067 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 22.067 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 22.067 * [taylor]: Taking taylor expansion of 1/2 in U 22.067 * [backup-simplify]: Simplify 1/2 into 1/2 22.067 * [taylor]: Taking taylor expansion of K in U 22.067 * [backup-simplify]: Simplify K into K 22.067 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 22.067 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.067 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 22.067 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 22.067 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 22.068 * [backup-simplify]: Simplify (- 0) into 0 22.068 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 22.068 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 22.068 * [backup-simplify]: Simplify (+ 0) into 0 22.069 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 22.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 22.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 22.071 * [backup-simplify]: Simplify (- 0) into 0 22.071 * [backup-simplify]: Simplify (+ 0 0) into 0 22.072 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 22.072 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 22.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 22.072 * [taylor]: Taking taylor expansion of 1/2 in U 22.072 * [backup-simplify]: Simplify 1/2 into 1/2 22.072 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 22.072 * [taylor]: Taking taylor expansion of J in U 22.072 * [backup-simplify]: Simplify J into J 22.072 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 22.072 * [taylor]: Taking taylor expansion of U in U 22.072 * [backup-simplify]: Simplify 0 into 0 22.072 * [backup-simplify]: Simplify 1 into 1 22.072 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 22.072 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 22.072 * [taylor]: Taking taylor expansion of 1/2 in U 22.072 * [backup-simplify]: Simplify 1/2 into 1/2 22.072 * [taylor]: Taking taylor expansion of K in U 22.072 * [backup-simplify]: Simplify K into K 22.072 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 22.072 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.072 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 22.073 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 22.073 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 22.073 * [backup-simplify]: Simplify (- 0) into 0 22.073 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 22.073 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 22.074 * [backup-simplify]: Simplify (+ 0) into 0 22.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 22.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 22.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.076 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 22.076 * [backup-simplify]: Simplify (- 0) into 0 22.077 * [backup-simplify]: Simplify (+ 0 0) into 0 22.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 22.077 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 22.077 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 22.077 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 22.078 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 22.078 * [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))) 22.079 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 22.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.080 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.081 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.081 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.082 * [backup-simplify]: Simplify (- 0) into 0 22.083 * [backup-simplify]: Simplify (+ 0 0) into 0 22.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 22.084 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 22.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 22.085 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.086 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.086 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.086 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.087 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.087 * [backup-simplify]: Simplify (- 0) into 0 22.087 * [backup-simplify]: Simplify (+ 0 0) into 0 22.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 22.088 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 22.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 22.088 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 22.089 * [backup-simplify]: Simplify (+ 0 0) into 0 22.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 22.089 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 22.089 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 22.089 * [taylor]: Taking taylor expansion of 1/2 in U 22.089 * [backup-simplify]: Simplify 1/2 into 1/2 22.089 * [taylor]: Taking taylor expansion of K in U 22.089 * [backup-simplify]: Simplify K into K 22.089 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 22.089 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.089 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 22.089 * [taylor]: Taking taylor expansion of J in U 22.089 * [backup-simplify]: Simplify J into J 22.089 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 22.089 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 22.089 * [backup-simplify]: Simplify (- 0) into 0 22.089 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 22.090 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 22.090 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 22.090 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 22.090 * [taylor]: Taking taylor expansion of -2 in U 22.090 * [backup-simplify]: Simplify -2 into -2 22.090 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 22.090 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 22.090 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 22.090 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 22.090 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 22.090 * [taylor]: Taking taylor expansion of (* 1 1) in U 22.090 * [taylor]: Taking taylor expansion of 1 in U 22.090 * [backup-simplify]: Simplify 1 into 1 22.090 * [taylor]: Taking taylor expansion of 1 in U 22.090 * [backup-simplify]: Simplify 1 into 1 22.090 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 22.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 22.090 * [taylor]: Taking taylor expansion of 1/2 in U 22.090 * [backup-simplify]: Simplify 1/2 into 1/2 22.090 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 22.090 * [taylor]: Taking taylor expansion of J in U 22.090 * [backup-simplify]: Simplify J into J 22.090 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 22.090 * [taylor]: Taking taylor expansion of U in U 22.090 * [backup-simplify]: Simplify 0 into 0 22.090 * [backup-simplify]: Simplify 1 into 1 22.090 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 22.090 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 22.090 * [taylor]: Taking taylor expansion of 1/2 in U 22.090 * [backup-simplify]: Simplify 1/2 into 1/2 22.090 * [taylor]: Taking taylor expansion of K in U 22.090 * [backup-simplify]: Simplify K into K 22.090 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 22.090 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.090 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 22.090 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 22.090 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 22.091 * [backup-simplify]: Simplify (- 0) into 0 22.091 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 22.091 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 22.091 * [backup-simplify]: Simplify (+ 0) into 0 22.091 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 22.091 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 22.092 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.092 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 22.093 * [backup-simplify]: Simplify (- 0) into 0 22.093 * [backup-simplify]: Simplify (+ 0 0) into 0 22.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 22.093 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 22.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 22.093 * [taylor]: Taking taylor expansion of 1/2 in U 22.093 * [backup-simplify]: Simplify 1/2 into 1/2 22.093 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 22.093 * [taylor]: Taking taylor expansion of J in U 22.093 * [backup-simplify]: Simplify J into J 22.093 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 22.093 * [taylor]: Taking taylor expansion of U in U 22.093 * [backup-simplify]: Simplify 0 into 0 22.093 * [backup-simplify]: Simplify 1 into 1 22.093 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 22.093 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 22.093 * [taylor]: Taking taylor expansion of 1/2 in U 22.093 * [backup-simplify]: Simplify 1/2 into 1/2 22.093 * [taylor]: Taking taylor expansion of K in U 22.094 * [backup-simplify]: Simplify K into K 22.094 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 22.094 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.094 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 22.094 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 22.094 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 22.094 * [backup-simplify]: Simplify (- 0) into 0 22.094 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 22.094 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 22.094 * [backup-simplify]: Simplify (+ 0) into 0 22.095 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 22.095 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 22.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.096 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 22.096 * [backup-simplify]: Simplify (- 0) into 0 22.096 * [backup-simplify]: Simplify (+ 0 0) into 0 22.097 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 22.097 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 22.097 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 22.097 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 22.097 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 22.098 * [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))) 22.098 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 22.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.099 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.100 * [backup-simplify]: Simplify (- 0) into 0 22.100 * [backup-simplify]: Simplify (+ 0 0) into 0 22.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 22.101 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 22.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 22.102 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.103 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.104 * [backup-simplify]: Simplify (- 0) into 0 22.104 * [backup-simplify]: Simplify (+ 0 0) into 0 22.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 22.105 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 22.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 22.105 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 22.105 * [backup-simplify]: Simplify (+ 0 0) into 0 22.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 22.106 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 22.106 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 22.106 * [taylor]: Taking taylor expansion of 1/2 in U 22.106 * [backup-simplify]: Simplify 1/2 into 1/2 22.106 * [taylor]: Taking taylor expansion of K in U 22.106 * [backup-simplify]: Simplify K into K 22.106 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 22.106 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.106 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 22.106 * [taylor]: Taking taylor expansion of J in U 22.106 * [backup-simplify]: Simplify J into J 22.106 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 22.106 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 22.106 * [backup-simplify]: Simplify (- 0) into 0 22.106 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 22.106 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 22.106 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 22.107 * [backup-simplify]: Simplify (* -2 1/2) into -1 22.107 * [taylor]: Taking taylor expansion of -1 in J 22.107 * [backup-simplify]: Simplify -1 into -1 22.107 * [backup-simplify]: Simplify (+ 0) into 0 22.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 22.107 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 22.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 22.112 * [backup-simplify]: Simplify (- 0) into 0 22.113 * [backup-simplify]: Simplify (+ 0 0) into 0 22.113 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 22.113 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 22.114 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 22.114 * [taylor]: Taking taylor expansion of 0 in J 22.114 * [backup-simplify]: Simplify 0 into 0 22.114 * [taylor]: Taking taylor expansion of -1 in K 22.114 * [backup-simplify]: Simplify -1 into -1 22.114 * [backup-simplify]: Simplify -1 into -1 22.115 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.116 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.116 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.118 * [backup-simplify]: Simplify (- 0) into 0 22.118 * [backup-simplify]: Simplify (+ 0 0) into 0 22.119 * [backup-simplify]: Simplify (* 1 1) into 1 22.120 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.121 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.121 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.123 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 22.124 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 22.124 * [backup-simplify]: Simplify (- 0) into 0 22.124 * [backup-simplify]: Simplify (+ 0 0) into 0 22.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 22.126 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 22.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 22.128 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.129 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.129 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 22.132 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 22.133 * [backup-simplify]: Simplify (- 0) into 0 22.133 * [backup-simplify]: Simplify (+ 0 0) into 0 22.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 22.135 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 22.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 22.137 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 22.137 * [backup-simplify]: Simplify (+ 1 0) into 1 22.138 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 22.139 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 22.140 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 22.141 * [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)))) 22.141 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 22.141 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 22.141 * [taylor]: Taking taylor expansion of 2 in J 22.141 * [backup-simplify]: Simplify 2 into 2 22.141 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 22.141 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 22.141 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 22.141 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 22.141 * [taylor]: Taking taylor expansion of 1/2 in J 22.141 * [backup-simplify]: Simplify 1/2 into 1/2 22.141 * [taylor]: Taking taylor expansion of K in J 22.141 * [backup-simplify]: Simplify K into K 22.141 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 22.141 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.141 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 22.141 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 22.142 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 22.142 * [backup-simplify]: Simplify (- 0) into 0 22.142 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 22.142 * [taylor]: Taking taylor expansion of (pow J 2) in J 22.142 * [taylor]: Taking taylor expansion of J in J 22.142 * [backup-simplify]: Simplify 0 into 0 22.142 * [backup-simplify]: Simplify 1 into 1 22.142 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 22.143 * [backup-simplify]: Simplify (* 1 1) into 1 22.143 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 22.143 * [backup-simplify]: Simplify (+ 0) into 0 22.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 22.144 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 22.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 22.145 * [backup-simplify]: Simplify (- 0) into 0 22.146 * [backup-simplify]: Simplify (+ 0 0) into 0 22.146 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 22.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 22.147 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 22.148 * [backup-simplify]: Simplify (- 0) into 0 22.148 * [taylor]: Taking taylor expansion of 0 in K 22.148 * [backup-simplify]: Simplify 0 into 0 22.148 * [backup-simplify]: Simplify 0 into 0 22.148 * [taylor]: Taking taylor expansion of 0 in K 22.148 * [backup-simplify]: Simplify 0 into 0 22.148 * [backup-simplify]: Simplify 0 into 0 22.148 * [taylor]: Taking taylor expansion of 0 in K 22.148 * [backup-simplify]: Simplify 0 into 0 22.148 * [backup-simplify]: Simplify 0 into 0 22.148 * [backup-simplify]: Simplify 0 into 0 22.149 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.149 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.149 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 22.151 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 22.151 * [backup-simplify]: Simplify (- 0) into 0 22.151 * [backup-simplify]: Simplify (+ 0 0) into 0 22.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.153 * [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 22.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 22.154 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.156 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.156 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 22.156 * [backup-simplify]: Simplify (- 0) into 0 22.157 * [backup-simplify]: Simplify (+ 0 0) into 0 22.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 22.158 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 22.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 22.160 * [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 22.161 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 22.161 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.162 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.162 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 22.163 * [backup-simplify]: Simplify (- 0) into 0 22.163 * [backup-simplify]: Simplify (+ 0 0) into 0 22.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 22.164 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 22.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 22.166 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 22.166 * [backup-simplify]: Simplify (+ 0 0) into 0 22.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 22.167 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 22.167 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 22.168 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 22.168 * [taylor]: Taking taylor expansion of 0 in J 22.168 * [backup-simplify]: Simplify 0 into 0 22.169 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.169 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.169 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.170 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.171 * [backup-simplify]: Simplify (- 0) into 0 22.171 * [backup-simplify]: Simplify (+ 0 0) into 0 22.171 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 22.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 22.174 * [backup-simplify]: Simplify (- 0) into 0 22.174 * [taylor]: Taking taylor expansion of 0 in K 22.174 * [backup-simplify]: Simplify 0 into 0 22.174 * [backup-simplify]: Simplify 0 into 0 22.174 * [taylor]: Taking taylor expansion of 0 in K 22.174 * [backup-simplify]: Simplify 0 into 0 22.174 * [backup-simplify]: Simplify 0 into 0 22.174 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 22.174 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)))) -2) (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 22.174 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 22.174 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 22.174 * [taylor]: Taking taylor expansion of 2 in K 22.174 * [backup-simplify]: Simplify 2 into 2 22.174 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 22.174 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 22.174 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 22.174 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 22.174 * [taylor]: Taking taylor expansion of -1/2 in K 22.174 * [backup-simplify]: Simplify -1/2 into -1/2 22.174 * [taylor]: Taking taylor expansion of K in K 22.174 * [backup-simplify]: Simplify 0 into 0 22.174 * [backup-simplify]: Simplify 1 into 1 22.175 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.175 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.175 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 22.175 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 22.175 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 22.175 * [taylor]: Taking taylor expansion of (* 1 1) in K 22.175 * [taylor]: Taking taylor expansion of 1 in K 22.175 * [backup-simplify]: Simplify 1 into 1 22.175 * [taylor]: Taking taylor expansion of 1 in K 22.175 * [backup-simplify]: Simplify 1 into 1 22.175 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 22.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 22.175 * [taylor]: Taking taylor expansion of 1/2 in K 22.175 * [backup-simplify]: Simplify 1/2 into 1/2 22.175 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 22.175 * [taylor]: Taking taylor expansion of J in K 22.175 * [backup-simplify]: Simplify J into J 22.175 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 22.175 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 22.175 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 22.175 * [taylor]: Taking taylor expansion of -1/2 in K 22.175 * [backup-simplify]: Simplify -1/2 into -1/2 22.175 * [taylor]: Taking taylor expansion of K in K 22.175 * [backup-simplify]: Simplify 0 into 0 22.175 * [backup-simplify]: Simplify 1 into 1 22.175 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.176 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.176 * [taylor]: Taking taylor expansion of U in K 22.176 * [backup-simplify]: Simplify U into U 22.176 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 22.176 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 22.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 22.176 * [taylor]: Taking taylor expansion of 1/2 in K 22.176 * [backup-simplify]: Simplify 1/2 into 1/2 22.176 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 22.176 * [taylor]: Taking taylor expansion of J in K 22.176 * [backup-simplify]: Simplify J into J 22.176 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 22.176 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 22.176 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 22.176 * [taylor]: Taking taylor expansion of -1/2 in K 22.176 * [backup-simplify]: Simplify -1/2 into -1/2 22.176 * [taylor]: Taking taylor expansion of K in K 22.176 * [backup-simplify]: Simplify 0 into 0 22.176 * [backup-simplify]: Simplify 1 into 1 22.176 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.176 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.176 * [taylor]: Taking taylor expansion of U in K 22.176 * [backup-simplify]: Simplify U into U 22.176 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 22.176 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 22.177 * [backup-simplify]: Simplify (* 1 1) into 1 22.177 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 22.177 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 22.177 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 22.177 * [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))))) 22.177 * [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)))))) 22.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 22.178 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 22.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 22.179 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 22.179 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 22.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 22.179 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 22.180 * [backup-simplify]: Simplify (+ 0 0) into 0 22.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 22.180 * [taylor]: Taking taylor expansion of J in K 22.180 * [backup-simplify]: Simplify J into J 22.180 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 22.180 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 22.180 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 22.180 * [taylor]: Taking taylor expansion of 2 in J 22.180 * [backup-simplify]: Simplify 2 into 2 22.180 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 22.181 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 22.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 22.181 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 22.181 * [taylor]: Taking taylor expansion of -1/2 in J 22.181 * [backup-simplify]: Simplify -1/2 into -1/2 22.181 * [taylor]: Taking taylor expansion of K in J 22.181 * [backup-simplify]: Simplify K into K 22.181 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 22.181 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.181 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 22.181 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 22.181 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 22.181 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 22.181 * [taylor]: Taking taylor expansion of (* 1 1) in J 22.181 * [taylor]: Taking taylor expansion of 1 in J 22.181 * [backup-simplify]: Simplify 1 into 1 22.181 * [taylor]: Taking taylor expansion of 1 in J 22.181 * [backup-simplify]: Simplify 1 into 1 22.181 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 22.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 22.181 * [taylor]: Taking taylor expansion of 1/2 in J 22.181 * [backup-simplify]: Simplify 1/2 into 1/2 22.181 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 22.181 * [taylor]: Taking taylor expansion of J in J 22.181 * [backup-simplify]: Simplify 0 into 0 22.181 * [backup-simplify]: Simplify 1 into 1 22.181 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 22.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 22.181 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 22.181 * [taylor]: Taking taylor expansion of -1/2 in J 22.181 * [backup-simplify]: Simplify -1/2 into -1/2 22.181 * [taylor]: Taking taylor expansion of K in J 22.181 * [backup-simplify]: Simplify K into K 22.181 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 22.181 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.181 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 22.181 * [taylor]: Taking taylor expansion of U in J 22.181 * [backup-simplify]: Simplify U into U 22.181 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.181 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 22.182 * [backup-simplify]: Simplify (- 0) into 0 22.182 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 22.182 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 22.182 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 22.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 22.182 * [taylor]: Taking taylor expansion of 1/2 in J 22.182 * [backup-simplify]: Simplify 1/2 into 1/2 22.182 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 22.182 * [taylor]: Taking taylor expansion of J in J 22.182 * [backup-simplify]: Simplify 0 into 0 22.182 * [backup-simplify]: Simplify 1 into 1 22.182 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 22.182 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 22.182 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 22.182 * [taylor]: Taking taylor expansion of -1/2 in J 22.182 * [backup-simplify]: Simplify -1/2 into -1/2 22.182 * [taylor]: Taking taylor expansion of K in J 22.182 * [backup-simplify]: Simplify K into K 22.182 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 22.182 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.182 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 22.182 * [taylor]: Taking taylor expansion of U in J 22.182 * [backup-simplify]: Simplify U into U 22.182 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.182 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 22.183 * [backup-simplify]: Simplify (- 0) into 0 22.183 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 22.183 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 22.183 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 22.183 * [backup-simplify]: Simplify (* 1 1) into 1 22.183 * [backup-simplify]: Simplify (+ 1 0) into 1 22.184 * [backup-simplify]: Simplify (sqrt 1) into 1 22.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.184 * [backup-simplify]: Simplify (+ 0 0) into 0 22.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 22.185 * [taylor]: Taking taylor expansion of J in J 22.185 * [backup-simplify]: Simplify 0 into 0 22.185 * [backup-simplify]: Simplify 1 into 1 22.185 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.185 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 22.185 * [backup-simplify]: Simplify (- 0) into 0 22.185 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 22.185 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.185 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.185 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 22.185 * [taylor]: Taking taylor expansion of 2 in U 22.185 * [backup-simplify]: Simplify 2 into 2 22.185 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 22.185 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 22.185 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 22.186 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 22.186 * [taylor]: Taking taylor expansion of -1/2 in U 22.186 * [backup-simplify]: Simplify -1/2 into -1/2 22.186 * [taylor]: Taking taylor expansion of K in U 22.186 * [backup-simplify]: Simplify K into K 22.186 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 22.186 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.186 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 22.186 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 22.186 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 22.186 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 22.186 * [taylor]: Taking taylor expansion of (* 1 1) in U 22.186 * [taylor]: Taking taylor expansion of 1 in U 22.186 * [backup-simplify]: Simplify 1 into 1 22.186 * [taylor]: Taking taylor expansion of 1 in U 22.186 * [backup-simplify]: Simplify 1 into 1 22.186 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 22.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 22.186 * [taylor]: Taking taylor expansion of 1/2 in U 22.186 * [backup-simplify]: Simplify 1/2 into 1/2 22.186 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 22.186 * [taylor]: Taking taylor expansion of J in U 22.186 * [backup-simplify]: Simplify J into J 22.186 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 22.186 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 22.186 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 22.186 * [taylor]: Taking taylor expansion of -1/2 in U 22.186 * [backup-simplify]: Simplify -1/2 into -1/2 22.186 * [taylor]: Taking taylor expansion of K in U 22.186 * [backup-simplify]: Simplify K into K 22.186 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 22.186 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.186 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 22.186 * [taylor]: Taking taylor expansion of U in U 22.186 * [backup-simplify]: Simplify 0 into 0 22.186 * [backup-simplify]: Simplify 1 into 1 22.186 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.186 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 22.187 * [backup-simplify]: Simplify (- 0) into 0 22.187 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 22.187 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 22.187 * [backup-simplify]: Simplify (+ 0) into 0 22.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 22.187 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 22.188 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 22.188 * [backup-simplify]: Simplify (- 0) into 0 22.189 * [backup-simplify]: Simplify (+ 0 0) into 0 22.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 22.189 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 22.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 22.189 * [taylor]: Taking taylor expansion of 1/2 in U 22.189 * [backup-simplify]: Simplify 1/2 into 1/2 22.189 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 22.189 * [taylor]: Taking taylor expansion of J in U 22.189 * [backup-simplify]: Simplify J into J 22.189 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 22.189 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 22.189 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 22.189 * [taylor]: Taking taylor expansion of -1/2 in U 22.189 * [backup-simplify]: Simplify -1/2 into -1/2 22.189 * [taylor]: Taking taylor expansion of K in U 22.189 * [backup-simplify]: Simplify K into K 22.190 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 22.190 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.190 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 22.190 * [taylor]: Taking taylor expansion of U in U 22.190 * [backup-simplify]: Simplify 0 into 0 22.190 * [backup-simplify]: Simplify 1 into 1 22.190 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.190 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 22.190 * [backup-simplify]: Simplify (- 0) into 0 22.190 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 22.190 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 22.190 * [backup-simplify]: Simplify (+ 0) into 0 22.191 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 22.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 22.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.192 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 22.192 * [backup-simplify]: Simplify (- 0) into 0 22.192 * [backup-simplify]: Simplify (+ 0 0) into 0 22.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 22.193 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 22.193 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 22.193 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 22.193 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 22.193 * [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))) 22.193 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 22.194 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.194 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.194 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.195 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.195 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.195 * [backup-simplify]: Simplify (- 0) into 0 22.196 * [backup-simplify]: Simplify (+ 0 0) into 0 22.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 22.196 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 22.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 22.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.199 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.199 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.200 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.200 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.201 * [backup-simplify]: Simplify (- 0) into 0 22.201 * [backup-simplify]: Simplify (+ 0 0) into 0 22.202 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 22.202 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 22.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 22.203 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 22.203 * [backup-simplify]: Simplify (+ 0 0) into 0 22.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 22.204 * [taylor]: Taking taylor expansion of J in U 22.204 * [backup-simplify]: Simplify J into J 22.204 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.204 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 22.204 * [backup-simplify]: Simplify (- 0) into 0 22.205 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 22.205 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 22.205 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 22.205 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 22.205 * [taylor]: Taking taylor expansion of 2 in U 22.205 * [backup-simplify]: Simplify 2 into 2 22.205 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 22.205 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 22.205 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 22.205 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 22.205 * [taylor]: Taking taylor expansion of -1/2 in U 22.205 * [backup-simplify]: Simplify -1/2 into -1/2 22.205 * [taylor]: Taking taylor expansion of K in U 22.205 * [backup-simplify]: Simplify K into K 22.205 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 22.205 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.205 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 22.205 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 22.206 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 22.206 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 22.206 * [taylor]: Taking taylor expansion of (* 1 1) in U 22.206 * [taylor]: Taking taylor expansion of 1 in U 22.206 * [backup-simplify]: Simplify 1 into 1 22.206 * [taylor]: Taking taylor expansion of 1 in U 22.206 * [backup-simplify]: Simplify 1 into 1 22.206 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 22.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 22.206 * [taylor]: Taking taylor expansion of 1/2 in U 22.206 * [backup-simplify]: Simplify 1/2 into 1/2 22.206 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 22.206 * [taylor]: Taking taylor expansion of J in U 22.206 * [backup-simplify]: Simplify J into J 22.206 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 22.206 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 22.206 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 22.206 * [taylor]: Taking taylor expansion of -1/2 in U 22.206 * [backup-simplify]: Simplify -1/2 into -1/2 22.206 * [taylor]: Taking taylor expansion of K in U 22.206 * [backup-simplify]: Simplify K into K 22.206 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 22.206 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.206 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 22.206 * [taylor]: Taking taylor expansion of U in U 22.206 * [backup-simplify]: Simplify 0 into 0 22.206 * [backup-simplify]: Simplify 1 into 1 22.206 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.207 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 22.207 * [backup-simplify]: Simplify (- 0) into 0 22.207 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 22.207 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 22.208 * [backup-simplify]: Simplify (+ 0) into 0 22.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 22.208 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 22.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.210 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 22.210 * [backup-simplify]: Simplify (- 0) into 0 22.211 * [backup-simplify]: Simplify (+ 0 0) into 0 22.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 22.211 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 22.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 22.211 * [taylor]: Taking taylor expansion of 1/2 in U 22.211 * [backup-simplify]: Simplify 1/2 into 1/2 22.211 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 22.212 * [taylor]: Taking taylor expansion of J in U 22.212 * [backup-simplify]: Simplify J into J 22.212 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 22.212 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 22.212 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 22.212 * [taylor]: Taking taylor expansion of -1/2 in U 22.212 * [backup-simplify]: Simplify -1/2 into -1/2 22.212 * [taylor]: Taking taylor expansion of K in U 22.212 * [backup-simplify]: Simplify K into K 22.212 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 22.212 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.212 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 22.212 * [taylor]: Taking taylor expansion of U in U 22.212 * [backup-simplify]: Simplify 0 into 0 22.212 * [backup-simplify]: Simplify 1 into 1 22.212 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.212 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 22.213 * [backup-simplify]: Simplify (- 0) into 0 22.213 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 22.213 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 22.213 * [backup-simplify]: Simplify (+ 0) into 0 22.213 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 22.213 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 22.214 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.214 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 22.215 * [backup-simplify]: Simplify (- 0) into 0 22.215 * [backup-simplify]: Simplify (+ 0 0) into 0 22.215 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 22.216 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 22.216 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 22.216 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 22.216 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 22.216 * [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))) 22.216 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 22.217 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.217 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.217 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.218 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.218 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.219 * [backup-simplify]: Simplify (- 0) into 0 22.219 * [backup-simplify]: Simplify (+ 0 0) into 0 22.219 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 22.220 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 22.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 22.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.221 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.222 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.222 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.222 * [backup-simplify]: Simplify (- 0) into 0 22.223 * [backup-simplify]: Simplify (+ 0 0) into 0 22.223 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 22.223 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 22.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 22.224 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 22.224 * [backup-simplify]: Simplify (+ 0 0) into 0 22.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 22.224 * [taylor]: Taking taylor expansion of J in U 22.224 * [backup-simplify]: Simplify J into J 22.224 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.224 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 22.225 * [backup-simplify]: Simplify (- 0) into 0 22.225 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 22.225 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 22.225 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 22.225 * [backup-simplify]: Simplify (* 2 1/2) into 1 22.226 * [taylor]: Taking taylor expansion of 1 in J 22.226 * [backup-simplify]: Simplify 1 into 1 22.226 * [backup-simplify]: Simplify (+ 0) into 0 22.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 22.230 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 22.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.231 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 22.231 * [backup-simplify]: Simplify (- 0) into 0 22.232 * [backup-simplify]: Simplify (+ 0 0) into 0 22.232 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 22.232 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 22.233 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 22.233 * [taylor]: Taking taylor expansion of 0 in J 22.233 * [backup-simplify]: Simplify 0 into 0 22.233 * [taylor]: Taking taylor expansion of 1 in K 22.233 * [backup-simplify]: Simplify 1 into 1 22.233 * [backup-simplify]: Simplify 1 into 1 22.233 * [backup-simplify]: Simplify (* 1 1) into 1 22.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.234 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 22.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 22.236 * [backup-simplify]: Simplify (- 0) into 0 22.237 * [backup-simplify]: Simplify (+ 0 0) into 0 22.237 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.237 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 22.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 22.239 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.240 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 22.242 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 22.242 * [backup-simplify]: Simplify (- 0) into 0 22.243 * [backup-simplify]: Simplify (+ 0 0) into 0 22.244 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.244 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 22.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 22.246 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 22.247 * [backup-simplify]: Simplify (+ 1 0) into 1 22.248 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 22.249 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.249 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.251 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.252 * [backup-simplify]: Simplify (- 0) into 0 22.252 * [backup-simplify]: Simplify (+ 0 0) into 0 22.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 22.253 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 22.254 * [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))) 22.254 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 22.255 * [taylor]: Taking taylor expansion of 2 in J 22.255 * [backup-simplify]: Simplify 2 into 2 22.255 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 22.255 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 22.255 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 22.255 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 22.255 * [taylor]: Taking taylor expansion of -1/2 in J 22.255 * [backup-simplify]: Simplify -1/2 into -1/2 22.255 * [taylor]: Taking taylor expansion of K in J 22.255 * [backup-simplify]: Simplify K into K 22.255 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 22.255 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.255 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 22.255 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 22.255 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 22.256 * [backup-simplify]: Simplify (- 0) into 0 22.256 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 22.256 * [taylor]: Taking taylor expansion of (pow J 2) in J 22.256 * [taylor]: Taking taylor expansion of J in J 22.256 * [backup-simplify]: Simplify 0 into 0 22.256 * [backup-simplify]: Simplify 1 into 1 22.256 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 22.256 * [backup-simplify]: Simplify (* 1 1) into 1 22.257 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 22.257 * [backup-simplify]: Simplify (+ 0) into 0 22.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 22.258 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 22.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.259 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 22.260 * [backup-simplify]: Simplify (- 0) into 0 22.260 * [backup-simplify]: Simplify (+ 0 0) into 0 22.260 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 22.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 22.262 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 22.262 * [taylor]: Taking taylor expansion of 0 in K 22.262 * [backup-simplify]: Simplify 0 into 0 22.262 * [backup-simplify]: Simplify 0 into 0 22.262 * [taylor]: Taking taylor expansion of 0 in K 22.262 * [backup-simplify]: Simplify 0 into 0 22.262 * [backup-simplify]: Simplify 0 into 0 22.262 * [taylor]: Taking taylor expansion of 0 in K 22.262 * [backup-simplify]: Simplify 0 into 0 22.262 * [backup-simplify]: Simplify 0 into 0 22.262 * [backup-simplify]: Simplify 0 into 0 22.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.264 * [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 22.265 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 22.265 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.266 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 22.267 * [backup-simplify]: Simplify (- 0) into 0 22.267 * [backup-simplify]: Simplify (+ 0 0) into 0 22.268 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.268 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 22.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 22.270 * [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 22.271 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 22.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.272 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 22.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 22.273 * [backup-simplify]: Simplify (- 0) into 0 22.273 * [backup-simplify]: Simplify (+ 0 0) into 0 22.274 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.274 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 22.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 22.275 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 22.276 * [backup-simplify]: Simplify (+ 0 0) into 0 22.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 22.276 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.277 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 22.278 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 22.279 * [backup-simplify]: Simplify (- 0) into 0 22.279 * [backup-simplify]: Simplify (+ 0 0) into 0 22.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 22.280 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 22.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 22.280 * [taylor]: Taking taylor expansion of 0 in J 22.280 * [backup-simplify]: Simplify 0 into 0 22.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 22.282 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 22.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.283 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 22.283 * [backup-simplify]: Simplify (- 0) into 0 22.283 * [backup-simplify]: Simplify (+ 0 0) into 0 22.283 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 22.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 22.286 * [taylor]: Taking taylor expansion of 0 in K 22.286 * [backup-simplify]: Simplify 0 into 0 22.286 * [backup-simplify]: Simplify 0 into 0 22.286 * [taylor]: Taking taylor expansion of 0 in K 22.286 * [backup-simplify]: Simplify 0 into 0 22.286 * [backup-simplify]: Simplify 0 into 0 22.286 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 22.286 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 22.286 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 22.286 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 22.286 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 22.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 22.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 22.286 * [taylor]: Taking taylor expansion of 1/3 in K 22.286 * [backup-simplify]: Simplify 1/3 into 1/3 22.286 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 22.286 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 22.286 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 22.286 * [taylor]: Taking taylor expansion of 1/2 in K 22.286 * [backup-simplify]: Simplify 1/2 into 1/2 22.286 * [taylor]: Taking taylor expansion of K in K 22.286 * [backup-simplify]: Simplify 0 into 0 22.286 * [backup-simplify]: Simplify 1 into 1 22.286 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.287 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.287 * [backup-simplify]: Simplify (log 1) into 0 22.288 * [backup-simplify]: Simplify (* 1/3 0) into 0 22.288 * [backup-simplify]: Simplify (+ 0) into 0 22.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 22.291 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 22.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 22.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 22.297 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 22.297 * [backup-simplify]: Simplify (exp 0) into 1 22.297 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 22.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 22.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 22.297 * [taylor]: Taking taylor expansion of 1/3 in K 22.297 * [backup-simplify]: Simplify 1/3 into 1/3 22.297 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 22.297 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 22.297 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 22.297 * [taylor]: Taking taylor expansion of 1/2 in K 22.297 * [backup-simplify]: Simplify 1/2 into 1/2 22.298 * [taylor]: Taking taylor expansion of K in K 22.298 * [backup-simplify]: Simplify 0 into 0 22.298 * [backup-simplify]: Simplify 1 into 1 22.298 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.299 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.299 * [backup-simplify]: Simplify (log 1) into 0 22.300 * [backup-simplify]: Simplify (* 1/3 0) into 0 22.300 * [backup-simplify]: Simplify (+ 0) into 0 22.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 22.303 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 22.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 22.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 22.308 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 22.308 * [backup-simplify]: Simplify (exp 0) into 1 22.308 * [backup-simplify]: Simplify 1 into 1 22.310 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 22.310 * [backup-simplify]: Simplify 0 into 0 22.312 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 22.312 * [backup-simplify]: Simplify -1/24 into -1/24 22.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.315 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.321 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 22.321 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 22.323 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.323 * [backup-simplify]: Simplify 0 into 0 22.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.326 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 22.332 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 22.333 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 22.337 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 22.337 * [backup-simplify]: Simplify -1/1152 into -1/1152 22.337 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 22.337 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 22.337 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 22.337 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 22.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 22.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 22.338 * [taylor]: Taking taylor expansion of 1/3 in K 22.338 * [backup-simplify]: Simplify 1/3 into 1/3 22.338 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 22.338 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 22.338 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 22.338 * [taylor]: Taking taylor expansion of 1/2 in K 22.338 * [backup-simplify]: Simplify 1/2 into 1/2 22.338 * [taylor]: Taking taylor expansion of K in K 22.338 * [backup-simplify]: Simplify 0 into 0 22.338 * [backup-simplify]: Simplify 1 into 1 22.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.338 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.338 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 22.338 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 22.338 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 22.338 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 22.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 22.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 22.338 * [taylor]: Taking taylor expansion of 1/3 in K 22.338 * [backup-simplify]: Simplify 1/3 into 1/3 22.338 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 22.338 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 22.338 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 22.338 * [taylor]: Taking taylor expansion of 1/2 in K 22.338 * [backup-simplify]: Simplify 1/2 into 1/2 22.338 * [taylor]: Taking taylor expansion of K in K 22.338 * [backup-simplify]: Simplify 0 into 0 22.338 * [backup-simplify]: Simplify 1 into 1 22.339 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.339 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.339 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 22.339 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 22.339 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 22.339 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 22.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 22.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 22.341 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 22.341 * [backup-simplify]: Simplify 0 into 0 22.342 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 22.342 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 22.343 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.343 * [backup-simplify]: Simplify 0 into 0 22.345 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 22.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 22.355 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.355 * [backup-simplify]: Simplify 0 into 0 22.360 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 22.362 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 22.365 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.365 * [backup-simplify]: Simplify 0 into 0 22.370 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 22.371 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 22.373 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.374 * [backup-simplify]: Simplify 0 into 0 22.382 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 22.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 22.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.388 * [backup-simplify]: Simplify 0 into 0 22.388 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 22.389 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 22.389 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 22.389 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 22.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 22.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 22.389 * [taylor]: Taking taylor expansion of 1/3 in K 22.389 * [backup-simplify]: Simplify 1/3 into 1/3 22.389 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 22.389 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 22.389 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 22.389 * [taylor]: Taking taylor expansion of -1/2 in K 22.389 * [backup-simplify]: Simplify -1/2 into -1/2 22.389 * [taylor]: Taking taylor expansion of K in K 22.389 * [backup-simplify]: Simplify 0 into 0 22.389 * [backup-simplify]: Simplify 1 into 1 22.389 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.389 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.389 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 22.389 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 22.389 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 22.389 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 22.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 22.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 22.389 * [taylor]: Taking taylor expansion of 1/3 in K 22.390 * [backup-simplify]: Simplify 1/3 into 1/3 22.390 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 22.390 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 22.390 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 22.390 * [taylor]: Taking taylor expansion of -1/2 in K 22.390 * [backup-simplify]: Simplify -1/2 into -1/2 22.390 * [taylor]: Taking taylor expansion of K in K 22.390 * [backup-simplify]: Simplify 0 into 0 22.390 * [backup-simplify]: Simplify 1 into 1 22.390 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.390 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.390 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 22.390 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 22.390 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 22.390 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 22.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 22.391 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 22.392 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 22.392 * [backup-simplify]: Simplify 0 into 0 22.394 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 22.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 22.396 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.396 * [backup-simplify]: Simplify 0 into 0 22.399 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 22.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 22.402 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.402 * [backup-simplify]: Simplify 0 into 0 22.407 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 22.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 22.412 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.412 * [backup-simplify]: Simplify 0 into 0 22.423 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 22.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 22.429 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.429 * [backup-simplify]: Simplify 0 into 0 22.442 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 22.445 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 22.451 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.451 * [backup-simplify]: Simplify 0 into 0 22.451 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 22.452 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 22.452 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 22.452 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 22.452 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 22.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 22.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 22.452 * [taylor]: Taking taylor expansion of 1/3 in K 22.452 * [backup-simplify]: Simplify 1/3 into 1/3 22.452 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 22.452 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 22.452 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 22.452 * [taylor]: Taking taylor expansion of 1/2 in K 22.452 * [backup-simplify]: Simplify 1/2 into 1/2 22.452 * [taylor]: Taking taylor expansion of K in K 22.452 * [backup-simplify]: Simplify 0 into 0 22.452 * [backup-simplify]: Simplify 1 into 1 22.453 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.453 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.454 * [backup-simplify]: Simplify (log 1) into 0 22.454 * [backup-simplify]: Simplify (* 1/3 0) into 0 22.455 * [backup-simplify]: Simplify (+ 0) into 0 22.456 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 22.457 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 22.458 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 22.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 22.462 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 22.462 * [backup-simplify]: Simplify (exp 0) into 1 22.462 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 22.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 22.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 22.462 * [taylor]: Taking taylor expansion of 1/3 in K 22.462 * [backup-simplify]: Simplify 1/3 into 1/3 22.462 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 22.462 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 22.462 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 22.462 * [taylor]: Taking taylor expansion of 1/2 in K 22.462 * [backup-simplify]: Simplify 1/2 into 1/2 22.462 * [taylor]: Taking taylor expansion of K in K 22.462 * [backup-simplify]: Simplify 0 into 0 22.462 * [backup-simplify]: Simplify 1 into 1 22.463 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.464 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.464 * [backup-simplify]: Simplify (log 1) into 0 22.464 * [backup-simplify]: Simplify (* 1/3 0) into 0 22.465 * [backup-simplify]: Simplify (+ 0) into 0 22.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 22.467 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 22.468 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 22.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 22.472 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 22.472 * [backup-simplify]: Simplify (exp 0) into 1 22.472 * [backup-simplify]: Simplify 1 into 1 22.473 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 22.473 * [backup-simplify]: Simplify 0 into 0 22.475 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 22.475 * [backup-simplify]: Simplify -1/24 into -1/24 22.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.477 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.489 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 22.490 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 22.492 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.492 * [backup-simplify]: Simplify 0 into 0 22.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 22.501 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 22.502 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 22.505 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 22.505 * [backup-simplify]: Simplify -1/1152 into -1/1152 22.505 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 22.505 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 22.505 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 22.505 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 22.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 22.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 22.505 * [taylor]: Taking taylor expansion of 1/3 in K 22.505 * [backup-simplify]: Simplify 1/3 into 1/3 22.505 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 22.505 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 22.505 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 22.505 * [taylor]: Taking taylor expansion of 1/2 in K 22.505 * [backup-simplify]: Simplify 1/2 into 1/2 22.505 * [taylor]: Taking taylor expansion of K in K 22.505 * [backup-simplify]: Simplify 0 into 0 22.505 * [backup-simplify]: Simplify 1 into 1 22.506 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.506 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.506 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 22.506 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 22.506 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 22.506 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 22.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 22.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 22.506 * [taylor]: Taking taylor expansion of 1/3 in K 22.506 * [backup-simplify]: Simplify 1/3 into 1/3 22.506 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 22.506 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 22.506 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 22.506 * [taylor]: Taking taylor expansion of 1/2 in K 22.506 * [backup-simplify]: Simplify 1/2 into 1/2 22.506 * [taylor]: Taking taylor expansion of K in K 22.506 * [backup-simplify]: Simplify 0 into 0 22.506 * [backup-simplify]: Simplify 1 into 1 22.506 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.506 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.506 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 22.506 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 22.506 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 22.507 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 22.507 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 22.507 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 22.508 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 22.508 * [backup-simplify]: Simplify 0 into 0 22.510 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 22.511 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 22.512 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.512 * [backup-simplify]: Simplify 0 into 0 22.516 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 22.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 22.519 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.519 * [backup-simplify]: Simplify 0 into 0 22.525 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 22.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 22.529 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.529 * [backup-simplify]: Simplify 0 into 0 22.537 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 22.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 22.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.541 * [backup-simplify]: Simplify 0 into 0 22.548 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 22.550 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 22.553 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.553 * [backup-simplify]: Simplify 0 into 0 22.553 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 22.553 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 22.553 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 22.553 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 22.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 22.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 22.553 * [taylor]: Taking taylor expansion of 1/3 in K 22.553 * [backup-simplify]: Simplify 1/3 into 1/3 22.553 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 22.553 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 22.553 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 22.553 * [taylor]: Taking taylor expansion of -1/2 in K 22.553 * [backup-simplify]: Simplify -1/2 into -1/2 22.553 * [taylor]: Taking taylor expansion of K in K 22.554 * [backup-simplify]: Simplify 0 into 0 22.554 * [backup-simplify]: Simplify 1 into 1 22.554 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.554 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.554 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 22.554 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 22.554 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 22.554 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 22.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 22.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 22.554 * [taylor]: Taking taylor expansion of 1/3 in K 22.554 * [backup-simplify]: Simplify 1/3 into 1/3 22.554 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 22.554 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 22.554 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 22.554 * [taylor]: Taking taylor expansion of -1/2 in K 22.554 * [backup-simplify]: Simplify -1/2 into -1/2 22.554 * [taylor]: Taking taylor expansion of K in K 22.554 * [backup-simplify]: Simplify 0 into 0 22.554 * [backup-simplify]: Simplify 1 into 1 22.555 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.555 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.555 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 22.555 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 22.555 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 22.555 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 22.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 22.556 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 22.557 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 22.557 * [backup-simplify]: Simplify 0 into 0 22.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 22.558 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 22.559 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.559 * [backup-simplify]: Simplify 0 into 0 22.561 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 22.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 22.563 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.563 * [backup-simplify]: Simplify 0 into 0 22.566 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 22.567 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 22.569 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.569 * [backup-simplify]: Simplify 0 into 0 22.575 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 22.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 22.581 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.581 * [backup-simplify]: Simplify 0 into 0 22.596 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 22.598 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 22.606 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.606 * [backup-simplify]: Simplify 0 into 0 22.606 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 22.606 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 22.606 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 22.606 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 22.606 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 22.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 22.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 22.606 * [taylor]: Taking taylor expansion of 1/3 in K 22.606 * [backup-simplify]: Simplify 1/3 into 1/3 22.606 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 22.606 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 22.606 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 22.606 * [taylor]: Taking taylor expansion of 1/2 in K 22.606 * [backup-simplify]: Simplify 1/2 into 1/2 22.606 * [taylor]: Taking taylor expansion of K in K 22.606 * [backup-simplify]: Simplify 0 into 0 22.606 * [backup-simplify]: Simplify 1 into 1 22.607 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.607 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.608 * [backup-simplify]: Simplify (log 1) into 0 22.608 * [backup-simplify]: Simplify (* 1/3 0) into 0 22.608 * [backup-simplify]: Simplify (+ 0) into 0 22.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 22.609 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 22.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 22.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 22.612 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 22.612 * [backup-simplify]: Simplify (exp 0) into 1 22.612 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 22.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 22.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 22.613 * [taylor]: Taking taylor expansion of 1/3 in K 22.613 * [backup-simplify]: Simplify 1/3 into 1/3 22.613 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 22.613 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 22.613 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 22.613 * [taylor]: Taking taylor expansion of 1/2 in K 22.613 * [backup-simplify]: Simplify 1/2 into 1/2 22.613 * [taylor]: Taking taylor expansion of K in K 22.613 * [backup-simplify]: Simplify 0 into 0 22.613 * [backup-simplify]: Simplify 1 into 1 22.613 * [backup-simplify]: Simplify (* 1/2 0) into 0 22.613 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 22.614 * [backup-simplify]: Simplify (log 1) into 0 22.614 * [backup-simplify]: Simplify (* 1/3 0) into 0 22.614 * [backup-simplify]: Simplify (+ 0) into 0 22.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 22.615 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 22.616 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 22.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 22.618 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 22.618 * [backup-simplify]: Simplify (exp 0) into 1 22.618 * [backup-simplify]: Simplify 1 into 1 22.619 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 22.619 * [backup-simplify]: Simplify 0 into 0 22.620 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 22.620 * [backup-simplify]: Simplify -1/24 into -1/24 22.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 22.622 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.625 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 22.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 22.627 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.627 * [backup-simplify]: Simplify 0 into 0 22.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 22.640 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 22.641 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 22.645 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 22.645 * [backup-simplify]: Simplify -1/1152 into -1/1152 22.646 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 22.646 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 22.646 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 22.646 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 22.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 22.646 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 22.646 * [taylor]: Taking taylor expansion of 1/3 in K 22.646 * [backup-simplify]: Simplify 1/3 into 1/3 22.646 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 22.646 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 22.646 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 22.646 * [taylor]: Taking taylor expansion of 1/2 in K 22.646 * [backup-simplify]: Simplify 1/2 into 1/2 22.646 * [taylor]: Taking taylor expansion of K in K 22.646 * [backup-simplify]: Simplify 0 into 0 22.646 * [backup-simplify]: Simplify 1 into 1 22.646 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.646 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.646 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 22.646 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 22.647 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 22.647 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 22.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 22.647 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 22.647 * [taylor]: Taking taylor expansion of 1/3 in K 22.647 * [backup-simplify]: Simplify 1/3 into 1/3 22.647 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 22.647 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 22.647 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 22.647 * [taylor]: Taking taylor expansion of 1/2 in K 22.647 * [backup-simplify]: Simplify 1/2 into 1/2 22.647 * [taylor]: Taking taylor expansion of K in K 22.647 * [backup-simplify]: Simplify 0 into 0 22.647 * [backup-simplify]: Simplify 1 into 1 22.647 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 22.647 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 22.647 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 22.647 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 22.647 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 22.647 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 22.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 22.648 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 22.649 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 22.649 * [backup-simplify]: Simplify 0 into 0 22.650 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 22.651 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 22.652 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.652 * [backup-simplify]: Simplify 0 into 0 22.654 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 22.655 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 22.656 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.656 * [backup-simplify]: Simplify 0 into 0 22.659 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 22.660 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 22.662 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.662 * [backup-simplify]: Simplify 0 into 0 22.666 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 22.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 22.670 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.670 * [backup-simplify]: Simplify 0 into 0 22.682 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 22.684 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 22.691 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.691 * [backup-simplify]: Simplify 0 into 0 22.691 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 22.691 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 22.691 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 22.691 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 22.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 22.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 22.692 * [taylor]: Taking taylor expansion of 1/3 in K 22.692 * [backup-simplify]: Simplify 1/3 into 1/3 22.692 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 22.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 22.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 22.692 * [taylor]: Taking taylor expansion of -1/2 in K 22.692 * [backup-simplify]: Simplify -1/2 into -1/2 22.692 * [taylor]: Taking taylor expansion of K in K 22.692 * [backup-simplify]: Simplify 0 into 0 22.692 * [backup-simplify]: Simplify 1 into 1 22.692 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.693 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 22.693 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 22.693 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 22.693 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 22.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 22.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 22.693 * [taylor]: Taking taylor expansion of 1/3 in K 22.693 * [backup-simplify]: Simplify 1/3 into 1/3 22.693 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 22.693 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 22.693 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 22.693 * [taylor]: Taking taylor expansion of -1/2 in K 22.693 * [backup-simplify]: Simplify -1/2 into -1/2 22.693 * [taylor]: Taking taylor expansion of K in K 22.693 * [backup-simplify]: Simplify 0 into 0 22.693 * [backup-simplify]: Simplify 1 into 1 22.693 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 22.693 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 22.693 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 22.693 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 22.693 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 22.694 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 22.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 22.694 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 22.695 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 22.695 * [backup-simplify]: Simplify 0 into 0 22.696 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 22.697 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 22.698 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.698 * [backup-simplify]: Simplify 0 into 0 22.700 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 22.701 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 22.702 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.702 * [backup-simplify]: Simplify 0 into 0 22.705 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 22.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 22.708 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.708 * [backup-simplify]: Simplify 0 into 0 22.718 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 22.719 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 22.722 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.722 * [backup-simplify]: Simplify 0 into 0 22.735 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 22.738 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 22.744 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.744 * [backup-simplify]: Simplify 0 into 0 22.745 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 22.745 * * * [progress]: simplifying candidates 22.745 * * * * [progress]: [ 1 / 97 ] simplifiying candidate # 22.745 * * * * [progress]: [ 2 / 97 ] simplifiying candidate # 22.745 * * * * [progress]: [ 3 / 97 ] simplifiying candidate # 22.745 * * * * [progress]: [ 4 / 97 ] simplifiying candidate # 22.745 * * * * [progress]: [ 5 / 97 ] simplifiying candidate # 22.745 * * * * [progress]: [ 6 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 7 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 8 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 9 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 10 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 11 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 12 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 13 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 14 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 15 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 16 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 17 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 18 / 97 ] simplifiying candidate # 22.746 * * * * [progress]: [ 19 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 20 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 21 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 22 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 23 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 24 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 25 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 26 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 27 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 28 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 29 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 30 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 31 / 97 ] simplifiying candidate # 22.747 * * * * [progress]: [ 32 / 97 ] simplifiying candidate # 22.748 * * * * [progress]: [ 33 / 97 ] simplifiying candidate # 22.748 * * * * [progress]: [ 34 / 97 ] simplifiying candidate # 22.748 * * * * [progress]: [ 35 / 97 ] simplifiying candidate # 22.748 * * * * [progress]: [ 36 / 97 ] simplifiying candidate # 22.748 * * * * [progress]: [ 37 / 97 ] simplifiying candidate # 22.748 * * * * [progress]: [ 38 / 97 ] simplifiying candidate # 22.748 * * * * [progress]: [ 39 / 97 ] simplifiying candidate # 22.748 * * * * [progress]: [ 40 / 97 ] simplifiying candidate # 22.748 * * * * [progress]: [ 41 / 97 ] simplifiying candidate # 22.748 * * * * [progress]: [ 42 / 97 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))))> 22.748 * * * * [progress]: [ 43 / 97 ] simplifiying candidate # 22.748 * * * * [progress]: [ 44 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 45 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 46 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 47 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 48 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 49 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 50 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 51 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 52 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 53 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 54 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 55 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 56 / 97 ] simplifiying candidate # 22.749 * * * * [progress]: [ 57 / 97 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))) J))))> 22.750 * * * * [progress]: [ 58 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 59 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 60 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 61 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 62 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 63 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 64 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 65 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 66 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 67 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 68 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 69 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 70 / 97 ] simplifiying candidate # 22.750 * * * * [progress]: [ 71 / 97 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))> 22.751 * * * * [progress]: [ 72 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 73 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 74 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 75 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 76 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 77 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 78 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 79 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 80 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 81 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 82 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 83 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 84 / 97 ] simplifiying candidate # 22.751 * * * * [progress]: [ 85 / 97 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))> 22.752 * * * * [progress]: [ 86 / 97 ] simplifiying candidate # 22.752 * * * * [progress]: [ 87 / 97 ] simplifiying candidate # 22.752 * * * * [progress]: [ 88 / 97 ] simplifiying candidate # 22.752 * * * * [progress]: [ 89 / 97 ] simplifiying candidate # 22.752 * * * * [progress]: [ 90 / 97 ] simplifiying candidate # 22.752 * * * * [progress]: [ 91 / 97 ] simplifiying candidate # 22.752 * * * * [progress]: [ 92 / 97 ] simplifiying candidate # 22.752 * * * * [progress]: [ 93 / 97 ] simplifiying candidate # 22.752 * * * * [progress]: [ 94 / 97 ] simplifiying candidate # 22.752 * * * * [progress]: [ 95 / 97 ] simplifiying candidate # 22.752 * * * * [progress]: [ 96 / 97 ] simplifiying candidate # 22.752 * * * * [progress]: [ 97 / 97 ] simplifiying candidate # 22.754 * [simplify]: Simplifying: (expm1 (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (log1p (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (log (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (exp (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* J J) J)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* J J) J)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (* (cbrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (cbrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))) (cbrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (sqrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (sqrt (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* -2 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (real->posit16 (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) (expm1 (cbrt (cos (/ K 2)))) (log1p (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (expm1 (cbrt (cos (/ K 2)))) (log1p (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (expm1 (cbrt (cos (/ K 2)))) (log1p (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3) 22.756 * * [simplify]: iteration 1: (121 enodes) 22.792 * * [simplify]: iteration 2: (521 enodes) 23.014 * * [simplify]: iteration 3: (1759 enodes) 25.500 * * [simplify]: Extracting #0: cost 29 inf + 0 25.501 * * [simplify]: Extracting #1: cost 367 inf + 0 25.510 * * [simplify]: Extracting #2: cost 1622 inf + 861 25.518 * * [simplify]: Extracting #3: cost 1676 inf + 5396 25.537 * * [simplify]: Extracting #4: cost 1629 inf + 10704 25.559 * * [simplify]: Extracting #5: cost 1327 inf + 97911 25.708 * * [simplify]: Extracting #6: cost 369 inf + 572998 25.970 * * [simplify]: Extracting #7: cost 3 inf + 763535 26.298 * * [simplify]: Extracting #8: cost 0 inf + 761808 26.606 * [simplify]: Simplified to: (expm1 (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (log1p (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (log (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (log (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (log (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (log (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (log (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (log (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (log (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (log (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (log (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (log (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (log (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (exp (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (cbrt (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (cbrt (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))))) (cbrt (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (sqrt (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (sqrt (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)) (real->posit16 (* -2 (* (* J (cos (/ K 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (expm1 (cbrt (cos (/ K 2)))) (log1p (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cos (/ K 2)) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (expm1 (cbrt (cos (/ K 2)))) (log1p (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cos (/ K 2)) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (expm1 (cbrt (cos (/ K 2)))) (log1p (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cos (/ K 2)) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (- (fma 1/4 (/ (* U U) J) (* 2 J))) (- U) (- U) (- 1 (fma 1/1152 (pow K 4) (* K (* 1/24 K)))) (cbrt (cos (* K 1/2))) (cbrt (cos (* K 1/2))) (- 1 (fma 1/1152 (pow K 4) (* K (* 1/24 K)))) (cbrt (cos (* K 1/2))) (cbrt (cos (* K 1/2))) (- 1 (fma 1/1152 (pow K 4) (* K (* 1/24 K)))) (cbrt (cos (* K 1/2))) (cbrt (cos (* K 1/2))) 26.614 * * * [progress]: adding candidates to table 28.561 * [progress]: [Phase 3 of 3] Extracting. 28.561 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 28.563 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 28.563 * * * * [regimes]: Trying to branch on U from (# # # # # # # # #) 28.673 * * * * [regimes]: Trying to branch on K from (# # # # # # # # #) 28.794 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # #) 28.895 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # #) 29.023 * * * * [regimes]: Trying to branch on J from (# # # # # # # # #) 29.119 * * * [regime]: Found split indices: #