47.941 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.188 * * * [progress]: [2/2] Setting up program. 0.197 * [progress]: [Phase 2 of 3] Improving. 0.197 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.197 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.197 * * [simplify]: iteration 0: 17 enodes 0.204 * * [simplify]: iteration 1: 36 enodes 0.218 * * [simplify]: iteration 2: 81 enodes 0.256 * * [simplify]: iteration 3: 215 enodes 0.330 * * [simplify]: iteration 4: 782 enodes 1.240 * * [simplify]: iteration 5: 4486 enodes 2.158 * * [simplify]: iteration complete: 5025 enodes 2.158 * * [simplify]: Extracting #0: cost 1 inf + 0 2.158 * * [simplify]: Extracting #1: cost 124 inf + 0 2.160 * * [simplify]: Extracting #2: cost 173 inf + 296 2.161 * * [simplify]: Extracting #3: cost 158 inf + 1011 2.163 * * [simplify]: Extracting #4: cost 582 inf + 1097 2.168 * * [simplify]: Extracting #5: cost 1581 inf + 5116 2.194 * * [simplify]: Extracting #6: cost 997 inf + 145004 2.303 * * [simplify]: Extracting #7: cost 218 inf + 357472 2.457 * * [simplify]: Extracting #8: cost 40 inf + 456353 2.616 * * [simplify]: Extracting #9: cost 0 inf + 482281 2.765 * [simplify]: Simplified to: (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) 2.775 * * [progress]: iteration 1 / 4 2.775 * * * [progress]: picking best candidate 2.780 * * * * [pick]: Picked # 2.781 * * * [progress]: localizing error 2.814 * * * [progress]: generating rewritten candidates 2.814 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.963 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.053 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.079 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.113 * * * [progress]: generating series expansions 3.113 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.113 * [backup-simplify]: Simplify (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 3.114 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (J K U) around 0 3.114 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 3.114 * [taylor]: Taking taylor expansion of -2 in U 3.114 * [backup-simplify]: Simplify -2 into -2 3.114 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 3.114 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.114 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.114 * [taylor]: Taking taylor expansion of 1/2 in U 3.114 * [backup-simplify]: Simplify 1/2 into 1/2 3.114 * [taylor]: Taking taylor expansion of K in U 3.114 * [backup-simplify]: Simplify K into K 3.114 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.114 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.114 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.114 * [taylor]: Taking taylor expansion of J in U 3.114 * [backup-simplify]: Simplify J into J 3.114 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 3.114 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 3.114 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 3.114 * [taylor]: Taking taylor expansion of 1/4 in U 3.114 * [backup-simplify]: Simplify 1/4 into 1/4 3.114 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 3.114 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.114 * [taylor]: Taking taylor expansion of U in U 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 3.114 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 3.115 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.115 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.115 * [taylor]: Taking taylor expansion of 1/2 in U 3.115 * [backup-simplify]: Simplify 1/2 into 1/2 3.115 * [taylor]: Taking taylor expansion of K in U 3.115 * [backup-simplify]: Simplify K into K 3.115 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.115 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.115 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.115 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.115 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.116 * [backup-simplify]: Simplify (- 0) into 0 3.116 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.116 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.116 * [taylor]: Taking taylor expansion of J in U 3.116 * [backup-simplify]: Simplify J into J 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.117 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.117 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.117 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 3.117 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.117 * [taylor]: Taking taylor expansion of 1 in U 3.117 * [backup-simplify]: Simplify 1 into 1 3.118 * [backup-simplify]: Simplify (+ 0 1) into 1 3.118 * [backup-simplify]: Simplify (sqrt 1) into 1 3.118 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.119 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 3.119 * [taylor]: Taking taylor expansion of -2 in K 3.119 * [backup-simplify]: Simplify -2 into -2 3.119 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 3.119 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 3.119 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.119 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.119 * [taylor]: Taking taylor expansion of 1/2 in K 3.119 * [backup-simplify]: Simplify 1/2 into 1/2 3.119 * [taylor]: Taking taylor expansion of K in K 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.119 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.120 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.120 * [taylor]: Taking taylor expansion of J in K 3.120 * [backup-simplify]: Simplify J into J 3.120 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 3.120 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 3.120 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 3.120 * [taylor]: Taking taylor expansion of 1/4 in K 3.120 * [backup-simplify]: Simplify 1/4 into 1/4 3.120 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 3.120 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.120 * [taylor]: Taking taylor expansion of U in K 3.120 * [backup-simplify]: Simplify U into U 3.120 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 3.120 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.120 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.120 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.120 * [taylor]: Taking taylor expansion of 1/2 in K 3.120 * [backup-simplify]: Simplify 1/2 into 1/2 3.120 * [taylor]: Taking taylor expansion of K in K 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.121 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.121 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.121 * [taylor]: Taking taylor expansion of J in K 3.121 * [backup-simplify]: Simplify J into J 3.121 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.121 * [backup-simplify]: Simplify (* 1 1) into 1 3.121 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.121 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 3.121 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 3.121 * [taylor]: Taking taylor expansion of 1 in K 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 3.121 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3.122 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 3.122 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.122 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.122 * [backup-simplify]: Simplify (+ 0) into 0 3.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 3.123 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 3.123 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 3.123 * [backup-simplify]: Simplify (+ 0 0) into 0 3.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 3.124 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 3.124 * [taylor]: Taking taylor expansion of -2 in J 3.124 * [backup-simplify]: Simplify -2 into -2 3.124 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 3.124 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.124 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.124 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.124 * [taylor]: Taking taylor expansion of 1/2 in J 3.124 * [backup-simplify]: Simplify 1/2 into 1/2 3.124 * [taylor]: Taking taylor expansion of K in J 3.124 * [backup-simplify]: Simplify K into K 3.124 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.124 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.124 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.124 * [taylor]: Taking taylor expansion of J in J 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 3.124 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 3.124 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 3.124 * [taylor]: Taking taylor expansion of 1/4 in J 3.124 * [backup-simplify]: Simplify 1/4 into 1/4 3.124 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.124 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.124 * [taylor]: Taking taylor expansion of U in J 3.124 * [backup-simplify]: Simplify U into U 3.124 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.124 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.124 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.124 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.124 * [taylor]: Taking taylor expansion of 1/2 in J 3.124 * [backup-simplify]: Simplify 1/2 into 1/2 3.124 * [taylor]: Taking taylor expansion of K in J 3.124 * [backup-simplify]: Simplify K into K 3.124 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.124 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.124 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.124 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.124 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.125 * [backup-simplify]: Simplify (- 0) into 0 3.125 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.125 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.125 * [taylor]: Taking taylor expansion of J in J 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 1 into 1 3.125 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.125 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.125 * [backup-simplify]: Simplify (* 1 1) into 1 3.125 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.125 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 3.125 * [taylor]: Taking taylor expansion of 1 in J 3.125 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.126 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.126 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.126 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.127 * [backup-simplify]: Simplify (+ 0) into 0 3.127 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.128 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.128 * [backup-simplify]: Simplify (- 0) into 0 3.128 * [backup-simplify]: Simplify (+ 0 0) into 0 3.128 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.129 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.129 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 3.130 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 3.130 * [taylor]: Taking taylor expansion of -2 in J 3.130 * [backup-simplify]: Simplify -2 into -2 3.130 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 3.130 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.130 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.130 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.130 * [taylor]: Taking taylor expansion of 1/2 in J 3.130 * [backup-simplify]: Simplify 1/2 into 1/2 3.130 * [taylor]: Taking taylor expansion of K in J 3.130 * [backup-simplify]: Simplify K into K 3.130 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.130 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.130 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.130 * [taylor]: Taking taylor expansion of J in J 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 1 into 1 3.130 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 3.130 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 3.130 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 3.130 * [taylor]: Taking taylor expansion of 1/4 in J 3.130 * [backup-simplify]: Simplify 1/4 into 1/4 3.130 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.130 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.130 * [taylor]: Taking taylor expansion of U in J 3.130 * [backup-simplify]: Simplify U into U 3.130 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.130 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.130 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.130 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.130 * [taylor]: Taking taylor expansion of 1/2 in J 3.130 * [backup-simplify]: Simplify 1/2 into 1/2 3.130 * [taylor]: Taking taylor expansion of K in J 3.130 * [backup-simplify]: Simplify K into K 3.130 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.131 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.131 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.131 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.131 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.131 * [backup-simplify]: Simplify (- 0) into 0 3.131 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.131 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.131 * [taylor]: Taking taylor expansion of J in J 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.131 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.131 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.131 * [backup-simplify]: Simplify (* 1 1) into 1 3.131 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.132 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 3.132 * [taylor]: Taking taylor expansion of 1 in J 3.132 * [backup-simplify]: Simplify 1 into 1 3.132 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.132 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.132 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.132 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.133 * [backup-simplify]: Simplify (+ 0) into 0 3.133 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.134 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.134 * [backup-simplify]: Simplify (- 0) into 0 3.135 * [backup-simplify]: Simplify (+ 0 0) into 0 3.135 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.135 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.135 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 3.136 * [backup-simplify]: Simplify (+ 0 0) into 0 3.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 3.136 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.136 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.136 * [backup-simplify]: Simplify (- 0) into 0 3.137 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.137 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.137 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 3.137 * [backup-simplify]: Simplify (* -2 0) into 0 3.137 * [taylor]: Taking taylor expansion of 0 in K 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [taylor]: Taking taylor expansion of 0 in U 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify (+ 0) into 0 3.138 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.138 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.139 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.139 * [backup-simplify]: Simplify (- 0) into 0 3.139 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.140 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 3.140 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 3.140 * [taylor]: Taking taylor expansion of (- U) in K 3.140 * [taylor]: Taking taylor expansion of U in K 3.140 * [backup-simplify]: Simplify U into U 3.140 * [backup-simplify]: Simplify (- U) into (- U) 3.140 * [taylor]: Taking taylor expansion of (- U) in U 3.140 * [taylor]: Taking taylor expansion of U in U 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (- 0) into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.141 * [taylor]: Taking taylor expansion of 0 in U 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 3.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.142 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.142 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.143 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.144 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.144 * [backup-simplify]: Simplify (- 0) into 0 3.144 * [backup-simplify]: Simplify (+ 0 0) into 0 3.145 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 3.145 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.145 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.146 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 3.146 * [backup-simplify]: Simplify (+ 0 1) into 1 3.147 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 3.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.148 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.149 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.149 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.149 * [backup-simplify]: Simplify (- 0) into 0 3.149 * [backup-simplify]: Simplify (+ 0 0) into 0 3.150 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.150 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 3.151 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 3.151 * [taylor]: Taking taylor expansion of 0 in K 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [taylor]: Taking taylor expansion of 0 in U 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify (- 0) into 0 3.151 * [taylor]: Taking taylor expansion of 0 in U 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 3.151 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (J K U) around 0 3.151 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 3.151 * [taylor]: Taking taylor expansion of -2 in U 3.152 * [backup-simplify]: Simplify -2 into -2 3.152 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 3.152 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 3.152 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 3.152 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 3.152 * [taylor]: Taking taylor expansion of 1/4 in U 3.152 * [backup-simplify]: Simplify 1/4 into 1/4 3.152 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 3.152 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.152 * [taylor]: Taking taylor expansion of J in U 3.152 * [backup-simplify]: Simplify J into J 3.152 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 3.152 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.152 * [taylor]: Taking taylor expansion of U in U 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.152 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 3.152 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.152 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.152 * [taylor]: Taking taylor expansion of 1/2 in U 3.152 * [backup-simplify]: Simplify 1/2 into 1/2 3.152 * [taylor]: Taking taylor expansion of K in U 3.152 * [backup-simplify]: Simplify K into K 3.152 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.152 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.152 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.152 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.152 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.152 * [backup-simplify]: Simplify (- 0) into 0 3.152 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.152 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.153 * [backup-simplify]: Simplify (* 1 1) into 1 3.153 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.153 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 3.153 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.153 * [taylor]: Taking taylor expansion of 1 in U 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.153 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.153 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.153 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.154 * [backup-simplify]: Simplify (+ 0) into 0 3.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.154 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.155 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.155 * [backup-simplify]: Simplify (- 0) into 0 3.155 * [backup-simplify]: Simplify (+ 0 0) into 0 3.155 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.156 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.157 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.157 * [backup-simplify]: Simplify (+ 0 0) into 0 3.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.157 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 3.157 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.157 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.157 * [taylor]: Taking taylor expansion of 1/2 in U 3.157 * [backup-simplify]: Simplify 1/2 into 1/2 3.157 * [taylor]: Taking taylor expansion of K in U 3.157 * [backup-simplify]: Simplify K into K 3.157 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.157 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.157 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.157 * [taylor]: Taking taylor expansion of J in U 3.157 * [backup-simplify]: Simplify J into J 3.157 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.158 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.158 * [backup-simplify]: Simplify (- 0) into 0 3.158 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.158 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.158 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 3.158 * [taylor]: Taking taylor expansion of -2 in K 3.158 * [backup-simplify]: Simplify -2 into -2 3.158 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 3.158 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 3.158 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 3.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 3.158 * [taylor]: Taking taylor expansion of 1/4 in K 3.158 * [backup-simplify]: Simplify 1/4 into 1/4 3.158 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 3.158 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.158 * [taylor]: Taking taylor expansion of J in K 3.158 * [backup-simplify]: Simplify J into J 3.158 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 3.158 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.158 * [taylor]: Taking taylor expansion of U in K 3.158 * [backup-simplify]: Simplify U into U 3.158 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.158 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.158 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.158 * [taylor]: Taking taylor expansion of 1/2 in K 3.158 * [backup-simplify]: Simplify 1/2 into 1/2 3.158 * [taylor]: Taking taylor expansion of K in K 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 1 into 1 3.159 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.159 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.159 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.159 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.159 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.159 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.159 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.159 * [taylor]: Taking taylor expansion of 1 in K 3.159 * [backup-simplify]: Simplify 1 into 1 3.159 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 3.159 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 3.160 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 3.160 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.160 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.160 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.160 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.161 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.161 * [backup-simplify]: Simplify (+ 0 0) into 0 3.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 3.162 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 3.162 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.162 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.162 * [taylor]: Taking taylor expansion of 1/2 in K 3.162 * [backup-simplify]: Simplify 1/2 into 1/2 3.162 * [taylor]: Taking taylor expansion of K in K 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 1 into 1 3.162 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.162 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.162 * [taylor]: Taking taylor expansion of J in K 3.162 * [backup-simplify]: Simplify J into J 3.162 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.162 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 3.162 * [taylor]: Taking taylor expansion of -2 in J 3.162 * [backup-simplify]: Simplify -2 into -2 3.162 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 3.162 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 3.162 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 3.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 3.162 * [taylor]: Taking taylor expansion of 1/4 in J 3.162 * [backup-simplify]: Simplify 1/4 into 1/4 3.162 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 3.162 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.162 * [taylor]: Taking taylor expansion of J in J 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 1 into 1 3.163 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 3.163 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.163 * [taylor]: Taking taylor expansion of U in J 3.163 * [backup-simplify]: Simplify U into U 3.163 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.163 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.163 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.163 * [taylor]: Taking taylor expansion of 1/2 in J 3.163 * [backup-simplify]: Simplify 1/2 into 1/2 3.163 * [taylor]: Taking taylor expansion of K in J 3.163 * [backup-simplify]: Simplify K into K 3.163 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.163 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.163 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.163 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.163 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.164 * [backup-simplify]: Simplify (- 0) into 0 3.164 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.164 * [backup-simplify]: Simplify (* 1 1) into 1 3.164 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.165 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.165 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.165 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.165 * [taylor]: Taking taylor expansion of 1 in J 3.165 * [backup-simplify]: Simplify 1 into 1 3.165 * [backup-simplify]: Simplify (+ 0 1) into 1 3.166 * [backup-simplify]: Simplify (sqrt 1) into 1 3.166 * [backup-simplify]: Simplify (+ 0 0) into 0 3.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.167 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.167 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.167 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.167 * [taylor]: Taking taylor expansion of 1/2 in J 3.167 * [backup-simplify]: Simplify 1/2 into 1/2 3.167 * [taylor]: Taking taylor expansion of K in J 3.167 * [backup-simplify]: Simplify K into K 3.167 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.167 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.167 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.167 * [taylor]: Taking taylor expansion of J in J 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.168 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.168 * [backup-simplify]: Simplify (- 0) into 0 3.168 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.168 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.168 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 3.168 * [taylor]: Taking taylor expansion of -2 in J 3.168 * [backup-simplify]: Simplify -2 into -2 3.168 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 3.168 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 3.168 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 3.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 3.168 * [taylor]: Taking taylor expansion of 1/4 in J 3.169 * [backup-simplify]: Simplify 1/4 into 1/4 3.169 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 3.169 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.169 * [taylor]: Taking taylor expansion of J in J 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 3.169 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.169 * [taylor]: Taking taylor expansion of U in J 3.169 * [backup-simplify]: Simplify U into U 3.169 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.169 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.169 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.169 * [taylor]: Taking taylor expansion of 1/2 in J 3.169 * [backup-simplify]: Simplify 1/2 into 1/2 3.169 * [taylor]: Taking taylor expansion of K in J 3.169 * [backup-simplify]: Simplify K into K 3.169 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.169 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.169 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.169 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.169 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.170 * [backup-simplify]: Simplify (- 0) into 0 3.170 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.170 * [backup-simplify]: Simplify (* 1 1) into 1 3.170 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.170 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.171 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.171 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.171 * [taylor]: Taking taylor expansion of 1 in J 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [backup-simplify]: Simplify (+ 0 1) into 1 3.172 * [backup-simplify]: Simplify (sqrt 1) into 1 3.172 * [backup-simplify]: Simplify (+ 0 0) into 0 3.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.173 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.173 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.173 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.173 * [taylor]: Taking taylor expansion of 1/2 in J 3.173 * [backup-simplify]: Simplify 1/2 into 1/2 3.173 * [taylor]: Taking taylor expansion of K in J 3.173 * [backup-simplify]: Simplify K into K 3.173 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.173 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.173 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.173 * [taylor]: Taking taylor expansion of J in J 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.173 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.174 * [backup-simplify]: Simplify (- 0) into 0 3.174 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.174 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.174 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 3.174 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.174 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 3.174 * [taylor]: Taking taylor expansion of -2 in K 3.174 * [backup-simplify]: Simplify -2 into -2 3.174 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.174 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.174 * [taylor]: Taking taylor expansion of 1/2 in K 3.174 * [backup-simplify]: Simplify 1/2 into 1/2 3.174 * [taylor]: Taking taylor expansion of K in K 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.175 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.175 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.175 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 3.175 * [taylor]: Taking taylor expansion of -2 in U 3.175 * [backup-simplify]: Simplify -2 into -2 3.175 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.175 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.175 * [taylor]: Taking taylor expansion of 1/2 in U 3.175 * [backup-simplify]: Simplify 1/2 into 1/2 3.175 * [taylor]: Taking taylor expansion of K in U 3.175 * [backup-simplify]: Simplify K into K 3.176 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.176 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.176 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.176 * [backup-simplify]: Simplify (+ 0) into 0 3.177 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.177 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.178 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.178 * [backup-simplify]: Simplify (- 0) into 0 3.179 * [backup-simplify]: Simplify (+ 0 0) into 0 3.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 3.181 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.181 * [taylor]: Taking taylor expansion of 0 in K 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [taylor]: Taking taylor expansion of 0 in U 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.181 * [taylor]: Taking taylor expansion of 0 in U 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.182 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.182 * [backup-simplify]: Simplify (- 0) into 0 3.182 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.182 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.182 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.184 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.184 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.185 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.186 * [backup-simplify]: Simplify (- 0) into 0 3.186 * [backup-simplify]: Simplify (+ 0 0) into 0 3.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.188 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 3.189 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 3.191 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 3.191 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 3.191 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 3.191 * [taylor]: Taking taylor expansion of 1/4 in K 3.191 * [backup-simplify]: Simplify 1/4 into 1/4 3.191 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 3.191 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 3.191 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.191 * [taylor]: Taking taylor expansion of U in K 3.191 * [backup-simplify]: Simplify U into U 3.191 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.191 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.191 * [taylor]: Taking taylor expansion of 1/2 in K 3.191 * [backup-simplify]: Simplify 1/2 into 1/2 3.191 * [taylor]: Taking taylor expansion of K in K 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.192 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.192 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.192 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 3.192 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 3.192 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 3.192 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 3.192 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 3.192 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 3.192 * [taylor]: Taking taylor expansion of 1/4 in U 3.192 * [backup-simplify]: Simplify 1/4 into 1/4 3.192 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 3.192 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 3.193 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.193 * [taylor]: Taking taylor expansion of U in U 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 1 into 1 3.193 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.193 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.193 * [taylor]: Taking taylor expansion of 1/2 in U 3.193 * [backup-simplify]: Simplify 1/2 into 1/2 3.193 * [taylor]: Taking taylor expansion of K in U 3.193 * [backup-simplify]: Simplify K into K 3.193 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.193 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.193 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.193 * [backup-simplify]: Simplify (* 1 1) into 1 3.193 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.193 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.194 * [backup-simplify]: Simplify (- 0) into 0 3.194 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.194 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 3.194 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.195 * [backup-simplify]: Simplify (+ 0) into 0 3.195 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.195 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.196 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.197 * [backup-simplify]: Simplify (- 0) into 0 3.197 * [backup-simplify]: Simplify (+ 0 0) into 0 3.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 3.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.199 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 3.199 * [backup-simplify]: Simplify (- 0) into 0 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [taylor]: Taking taylor expansion of 0 in U 3.199 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.200 * [taylor]: Taking taylor expansion of 0 in U 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify (+ 0) into 0 3.201 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.203 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.203 * [backup-simplify]: Simplify (- 0) into 0 3.203 * [backup-simplify]: Simplify (+ 0 0) into 0 3.204 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.204 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.205 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.206 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.208 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.208 * [backup-simplify]: Simplify (- 0) into 0 3.208 * [backup-simplify]: Simplify (+ 0 0) into 0 3.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify (+ 0) into 0 3.214 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.215 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.216 * [backup-simplify]: Simplify (- 0) into 0 3.216 * [backup-simplify]: Simplify (+ 0 0) into 0 3.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.216 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.217 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.217 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.218 * [backup-simplify]: Simplify (+ 0 0) into 0 3.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 3.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.221 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.221 * [taylor]: Taking taylor expansion of 0 in K 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [taylor]: Taking taylor expansion of 0 in U 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.221 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 3.222 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 3.222 * [backup-simplify]: Simplify (- 0) into 0 3.222 * [taylor]: Taking taylor expansion of 0 in U 3.222 * [backup-simplify]: Simplify 0 into 0 3.222 * [taylor]: Taking taylor expansion of 0 in U 3.222 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.224 * [taylor]: Taking taylor expansion of 0 in U 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.225 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.226 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.227 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.227 * [backup-simplify]: Simplify (- 0) into 0 3.227 * [backup-simplify]: Simplify (+ 0 0) into 0 3.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.230 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 3.230 * [backup-simplify]: Simplify (- 0) into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.231 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 3.231 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J K U) around 0 3.231 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 3.231 * [taylor]: Taking taylor expansion of 2 in U 3.231 * [backup-simplify]: Simplify 2 into 2 3.231 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 3.231 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 3.231 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.231 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.231 * [taylor]: Taking taylor expansion of -1/2 in U 3.231 * [backup-simplify]: Simplify -1/2 into -1/2 3.231 * [taylor]: Taking taylor expansion of K in U 3.231 * [backup-simplify]: Simplify K into K 3.231 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.231 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.231 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.231 * [taylor]: Taking taylor expansion of J in U 3.231 * [backup-simplify]: Simplify J into J 3.231 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.231 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.231 * [backup-simplify]: Simplify (- 0) into 0 3.232 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.232 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.232 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 3.232 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 3.232 * [taylor]: Taking taylor expansion of 1 in U 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.232 * [taylor]: Taking taylor expansion of 1/4 in U 3.232 * [backup-simplify]: Simplify 1/4 into 1/4 3.232 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.232 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.232 * [taylor]: Taking taylor expansion of J in U 3.232 * [backup-simplify]: Simplify J into J 3.232 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.232 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.232 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.232 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.232 * [taylor]: Taking taylor expansion of -1/2 in U 3.232 * [backup-simplify]: Simplify -1/2 into -1/2 3.232 * [taylor]: Taking taylor expansion of K in U 3.232 * [backup-simplify]: Simplify K into K 3.232 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.232 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.232 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.232 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.232 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.232 * [backup-simplify]: Simplify (- 0) into 0 3.232 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.233 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.233 * [taylor]: Taking taylor expansion of U in U 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.233 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.233 * [backup-simplify]: Simplify (* 1 1) into 1 3.233 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.233 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.233 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.233 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.234 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.234 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.234 * [backup-simplify]: Simplify (+ 0) into 0 3.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.235 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.236 * [backup-simplify]: Simplify (- 0) into 0 3.236 * [backup-simplify]: Simplify (+ 0 0) into 0 3.236 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.236 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 3.237 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.237 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.237 * [backup-simplify]: Simplify (+ 0 0) into 0 3.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.237 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 3.237 * [taylor]: Taking taylor expansion of 2 in K 3.238 * [backup-simplify]: Simplify 2 into 2 3.238 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 3.238 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 3.238 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.238 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.238 * [taylor]: Taking taylor expansion of -1/2 in K 3.238 * [backup-simplify]: Simplify -1/2 into -1/2 3.238 * [taylor]: Taking taylor expansion of K in K 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.238 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.238 * [taylor]: Taking taylor expansion of J in K 3.238 * [backup-simplify]: Simplify J into J 3.238 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.238 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 3.238 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 3.238 * [taylor]: Taking taylor expansion of 1 in K 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 3.238 * [taylor]: Taking taylor expansion of 1/4 in K 3.238 * [backup-simplify]: Simplify 1/4 into 1/4 3.238 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 3.238 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.238 * [taylor]: Taking taylor expansion of J in K 3.238 * [backup-simplify]: Simplify J into J 3.238 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 3.238 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.238 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.238 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.238 * [taylor]: Taking taylor expansion of -1/2 in K 3.238 * [backup-simplify]: Simplify -1/2 into -1/2 3.238 * [taylor]: Taking taylor expansion of K in K 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.239 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.239 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.239 * [taylor]: Taking taylor expansion of U in K 3.239 * [backup-simplify]: Simplify U into U 3.239 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.239 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.239 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.239 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.239 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.239 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 3.240 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 3.240 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 3.240 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.240 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.240 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.240 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 3.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.241 * [backup-simplify]: Simplify (+ 0 0) into 0 3.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 3.241 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 3.241 * [taylor]: Taking taylor expansion of 2 in J 3.241 * [backup-simplify]: Simplify 2 into 2 3.241 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 3.242 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.242 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.242 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.242 * [taylor]: Taking taylor expansion of -1/2 in J 3.242 * [backup-simplify]: Simplify -1/2 into -1/2 3.242 * [taylor]: Taking taylor expansion of K in J 3.242 * [backup-simplify]: Simplify K into K 3.242 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.242 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.242 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.242 * [taylor]: Taking taylor expansion of J in J 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.242 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.242 * [backup-simplify]: Simplify (- 0) into 0 3.242 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.242 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.242 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.242 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.242 * [taylor]: Taking taylor expansion of 1 in J 3.242 * [backup-simplify]: Simplify 1 into 1 3.243 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.243 * [taylor]: Taking taylor expansion of 1/4 in J 3.243 * [backup-simplify]: Simplify 1/4 into 1/4 3.243 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.243 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.243 * [taylor]: Taking taylor expansion of J in J 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 1 into 1 3.243 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.243 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.243 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.243 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.243 * [taylor]: Taking taylor expansion of -1/2 in J 3.243 * [backup-simplify]: Simplify -1/2 into -1/2 3.243 * [taylor]: Taking taylor expansion of K in J 3.243 * [backup-simplify]: Simplify K into K 3.243 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.243 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.243 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.243 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.243 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.243 * [backup-simplify]: Simplify (- 0) into 0 3.243 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.243 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.243 * [taylor]: Taking taylor expansion of U in J 3.243 * [backup-simplify]: Simplify U into U 3.244 * [backup-simplify]: Simplify (* 1 1) into 1 3.244 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.244 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.244 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.244 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.244 * [backup-simplify]: Simplify (+ 1 0) into 1 3.244 * [backup-simplify]: Simplify (sqrt 1) into 1 3.245 * [backup-simplify]: Simplify (+ 0 0) into 0 3.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.245 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 3.245 * [taylor]: Taking taylor expansion of 2 in J 3.245 * [backup-simplify]: Simplify 2 into 2 3.245 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 3.245 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.245 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.245 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.245 * [taylor]: Taking taylor expansion of -1/2 in J 3.245 * [backup-simplify]: Simplify -1/2 into -1/2 3.245 * [taylor]: Taking taylor expansion of K in J 3.245 * [backup-simplify]: Simplify K into K 3.245 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.245 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.245 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.245 * [taylor]: Taking taylor expansion of J in J 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 1 into 1 3.246 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.246 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.246 * [backup-simplify]: Simplify (- 0) into 0 3.246 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.246 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.246 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.246 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.246 * [taylor]: Taking taylor expansion of 1 in J 3.246 * [backup-simplify]: Simplify 1 into 1 3.246 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.246 * [taylor]: Taking taylor expansion of 1/4 in J 3.246 * [backup-simplify]: Simplify 1/4 into 1/4 3.246 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.246 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.246 * [taylor]: Taking taylor expansion of J in J 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 1 into 1 3.246 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.246 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.246 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.246 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.246 * [taylor]: Taking taylor expansion of -1/2 in J 3.246 * [backup-simplify]: Simplify -1/2 into -1/2 3.246 * [taylor]: Taking taylor expansion of K in J 3.246 * [backup-simplify]: Simplify K into K 3.246 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.247 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.247 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.247 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.247 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.247 * [backup-simplify]: Simplify (- 0) into 0 3.247 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.247 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.247 * [taylor]: Taking taylor expansion of U in J 3.247 * [backup-simplify]: Simplify U into U 3.248 * [backup-simplify]: Simplify (* 1 1) into 1 3.248 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.248 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.248 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.248 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.249 * [backup-simplify]: Simplify (+ 1 0) into 1 3.249 * [backup-simplify]: Simplify (sqrt 1) into 1 3.250 * [backup-simplify]: Simplify (+ 0 0) into 0 3.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.250 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.251 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.251 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 3.251 * [taylor]: Taking taylor expansion of 2 in K 3.251 * [backup-simplify]: Simplify 2 into 2 3.251 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.251 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.251 * [taylor]: Taking taylor expansion of -1/2 in K 3.251 * [backup-simplify]: Simplify -1/2 into -1/2 3.251 * [taylor]: Taking taylor expansion of K in K 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 1 into 1 3.251 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.251 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.251 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.251 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 3.251 * [taylor]: Taking taylor expansion of 2 in U 3.252 * [backup-simplify]: Simplify 2 into 2 3.252 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.252 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.252 * [taylor]: Taking taylor expansion of -1/2 in U 3.252 * [backup-simplify]: Simplify -1/2 into -1/2 3.252 * [taylor]: Taking taylor expansion of K in U 3.252 * [backup-simplify]: Simplify K into K 3.252 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.252 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.252 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.252 * [backup-simplify]: Simplify (+ 0) into 0 3.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.253 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.254 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.255 * [backup-simplify]: Simplify (- 0) into 0 3.255 * [backup-simplify]: Simplify (+ 0 0) into 0 3.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.256 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.257 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.257 * [taylor]: Taking taylor expansion of 0 in K 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [taylor]: Taking taylor expansion of 0 in U 3.257 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.258 * [taylor]: Taking taylor expansion of 0 in U 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.258 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.258 * [backup-simplify]: Simplify (- 0) into 0 3.258 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.258 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.258 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.259 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.259 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 3.260 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.261 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.262 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.262 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.263 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.263 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.264 * [backup-simplify]: Simplify (- 0) into 0 3.264 * [backup-simplify]: Simplify (+ 0 0) into 0 3.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 3.267 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 3.267 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 3.267 * [taylor]: Taking taylor expansion of 1/4 in K 3.267 * [backup-simplify]: Simplify 1/4 into 1/4 3.267 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 3.267 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 3.267 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.267 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.267 * [taylor]: Taking taylor expansion of -1/2 in K 3.267 * [backup-simplify]: Simplify -1/2 into -1/2 3.267 * [taylor]: Taking taylor expansion of K in K 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.267 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.268 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.268 * [taylor]: Taking taylor expansion of U in K 3.268 * [backup-simplify]: Simplify U into U 3.268 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.268 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 3.268 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 3.268 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 3.268 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 3.268 * [taylor]: Taking taylor expansion of 1/4 in U 3.268 * [backup-simplify]: Simplify 1/4 into 1/4 3.268 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 3.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.268 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.268 * [taylor]: Taking taylor expansion of -1/2 in U 3.268 * [backup-simplify]: Simplify -1/2 into -1/2 3.268 * [taylor]: Taking taylor expansion of K in U 3.268 * [backup-simplify]: Simplify K into K 3.268 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.268 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.268 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.269 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.269 * [taylor]: Taking taylor expansion of U in U 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.269 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.269 * [backup-simplify]: Simplify (- 0) into 0 3.269 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.270 * [backup-simplify]: Simplify (* 1 1) into 1 3.270 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.270 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.271 * [backup-simplify]: Simplify (+ 0) into 0 3.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.272 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.272 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.273 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.273 * [backup-simplify]: Simplify (- 0) into 0 3.274 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.274 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [taylor]: Taking taylor expansion of 0 in U 3.274 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.275 * [taylor]: Taking taylor expansion of 0 in U 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify (+ 0) into 0 3.276 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.276 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.277 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.277 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.278 * [backup-simplify]: Simplify (- 0) into 0 3.278 * [backup-simplify]: Simplify (+ 0 0) into 0 3.279 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.279 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.280 * [backup-simplify]: Simplify (+ 0) into 0 3.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.280 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.281 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.281 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.282 * [backup-simplify]: Simplify (- 0) into 0 3.282 * [backup-simplify]: Simplify (+ 0 0) into 0 3.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.282 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.283 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 3.284 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.284 * [backup-simplify]: Simplify (+ 0 0) into 0 3.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 3.286 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.288 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.289 * [backup-simplify]: Simplify (- 0) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.293 * [taylor]: Taking taylor expansion of 0 in K 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [taylor]: Taking taylor expansion of 0 in U 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 3.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 3.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 3.294 * [taylor]: Taking taylor expansion of 0 in U 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [taylor]: Taking taylor expansion of 0 in U 3.295 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.296 * [taylor]: Taking taylor expansion of 0 in U 3.296 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.298 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.299 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.299 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.300 * [backup-simplify]: Simplify (- 0) into 0 3.300 * [backup-simplify]: Simplify (+ 0 0) into 0 3.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.301 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.302 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.302 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 3.302 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 3.302 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 3.302 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 3.302 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 3.302 * [taylor]: Taking taylor expansion of 1/4 in K 3.302 * [backup-simplify]: Simplify 1/4 into 1/4 3.302 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 3.302 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.302 * [taylor]: Taking taylor expansion of U in K 3.302 * [backup-simplify]: Simplify U into U 3.303 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 3.303 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.303 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.303 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.303 * [taylor]: Taking taylor expansion of 1/2 in K 3.303 * [backup-simplify]: Simplify 1/2 into 1/2 3.303 * [taylor]: Taking taylor expansion of K in K 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.304 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.304 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.304 * [taylor]: Taking taylor expansion of J in K 3.304 * [backup-simplify]: Simplify J into J 3.304 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.304 * [backup-simplify]: Simplify (* 1 1) into 1 3.305 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.305 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 3.305 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 3.305 * [taylor]: Taking taylor expansion of 1 in K 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 3.305 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3.305 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 3.306 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.306 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.306 * [backup-simplify]: Simplify (+ 0) into 0 3.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 3.308 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 3.308 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 3.308 * [backup-simplify]: Simplify (+ 0 0) into 0 3.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 3.309 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 3.309 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 3.309 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 3.309 * [taylor]: Taking taylor expansion of 1/4 in J 3.309 * [backup-simplify]: Simplify 1/4 into 1/4 3.309 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.309 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.309 * [taylor]: Taking taylor expansion of U in J 3.309 * [backup-simplify]: Simplify U into U 3.309 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.309 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.309 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.309 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.309 * [taylor]: Taking taylor expansion of 1/2 in J 3.309 * [backup-simplify]: Simplify 1/2 into 1/2 3.309 * [taylor]: Taking taylor expansion of K in J 3.309 * [backup-simplify]: Simplify K into K 3.309 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.309 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.309 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.310 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.310 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.310 * [backup-simplify]: Simplify (- 0) into 0 3.310 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.310 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.310 * [taylor]: Taking taylor expansion of J in J 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.310 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.311 * [backup-simplify]: Simplify (* 1 1) into 1 3.311 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.311 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 3.311 * [taylor]: Taking taylor expansion of 1 in J 3.311 * [backup-simplify]: Simplify 1 into 1 3.311 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.312 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.312 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.312 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.313 * [backup-simplify]: Simplify (+ 0) into 0 3.314 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.315 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.316 * [backup-simplify]: Simplify (- 0) into 0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.317 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.317 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 3.318 * [backup-simplify]: Simplify (+ 0 0) into 0 3.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 3.318 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 3.318 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 3.318 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 3.319 * [taylor]: Taking taylor expansion of 1/4 in U 3.319 * [backup-simplify]: Simplify 1/4 into 1/4 3.319 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 3.319 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.319 * [taylor]: Taking taylor expansion of U in U 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 3.319 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 3.319 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.319 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.319 * [taylor]: Taking taylor expansion of 1/2 in U 3.319 * [backup-simplify]: Simplify 1/2 into 1/2 3.319 * [taylor]: Taking taylor expansion of K in U 3.319 * [backup-simplify]: Simplify K into K 3.319 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.319 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.319 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.319 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.319 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.320 * [backup-simplify]: Simplify (- 0) into 0 3.320 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.320 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.320 * [taylor]: Taking taylor expansion of J in U 3.320 * [backup-simplify]: Simplify J into J 3.320 * [backup-simplify]: Simplify (* 1 1) into 1 3.320 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.320 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.321 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 3.321 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.321 * [taylor]: Taking taylor expansion of 1 in U 3.321 * [backup-simplify]: Simplify 1 into 1 3.321 * [backup-simplify]: Simplify (+ 0 1) into 1 3.322 * [backup-simplify]: Simplify (sqrt 1) into 1 3.323 * [backup-simplify]: Simplify (+ 0 0) into 0 3.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.323 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 3.323 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 3.323 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 3.323 * [taylor]: Taking taylor expansion of 1/4 in U 3.323 * [backup-simplify]: Simplify 1/4 into 1/4 3.324 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 3.324 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.324 * [taylor]: Taking taylor expansion of U in U 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 3.324 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 3.324 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.324 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.324 * [taylor]: Taking taylor expansion of 1/2 in U 3.324 * [backup-simplify]: Simplify 1/2 into 1/2 3.324 * [taylor]: Taking taylor expansion of K in U 3.324 * [backup-simplify]: Simplify K into K 3.324 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.324 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.324 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.324 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.324 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.325 * [backup-simplify]: Simplify (- 0) into 0 3.325 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.325 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.325 * [taylor]: Taking taylor expansion of J in U 3.325 * [backup-simplify]: Simplify J into J 3.325 * [backup-simplify]: Simplify (* 1 1) into 1 3.325 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.325 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.326 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 3.326 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.326 * [taylor]: Taking taylor expansion of 1 in U 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (+ 0 1) into 1 3.327 * [backup-simplify]: Simplify (sqrt 1) into 1 3.327 * [backup-simplify]: Simplify (+ 0 0) into 0 3.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.328 * [taylor]: Taking taylor expansion of 1 in J 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [taylor]: Taking taylor expansion of 0 in J 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [taylor]: Taking taylor expansion of 1 in K 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.329 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 3.330 * [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))) 3.330 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.330 * [taylor]: Taking taylor expansion of 1/8 in J 3.330 * [backup-simplify]: Simplify 1/8 into 1/8 3.330 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.330 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.330 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.330 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.330 * [taylor]: Taking taylor expansion of 1/2 in J 3.330 * [backup-simplify]: Simplify 1/2 into 1/2 3.330 * [taylor]: Taking taylor expansion of K in J 3.330 * [backup-simplify]: Simplify K into K 3.330 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.330 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.330 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.331 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.331 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.331 * [backup-simplify]: Simplify (- 0) into 0 3.331 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.331 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.331 * [taylor]: Taking taylor expansion of J in J 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.332 * [backup-simplify]: Simplify (* 1 1) into 1 3.332 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.332 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 3.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.333 * [backup-simplify]: Simplify (+ 0) into 0 3.333 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.335 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.336 * [backup-simplify]: Simplify (- 0) into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.337 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.337 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.337 * [taylor]: Taking taylor expansion of 0 in K 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [taylor]: Taking taylor expansion of 0 in K 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [taylor]: Taking taylor expansion of 0 in K 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.338 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.339 * [backup-simplify]: Simplify (+ 0) into 0 3.339 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.341 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.341 * [backup-simplify]: Simplify (- 0) into 0 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.342 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.342 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 3.343 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 3.343 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 3.344 * [backup-simplify]: Simplify (+ 0 0) into 0 3.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 3.344 * [taylor]: Taking taylor expansion of 0 in J 3.344 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.349 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.351 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.352 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.352 * [backup-simplify]: Simplify (- 0) into 0 3.352 * [backup-simplify]: Simplify (+ 0 0) into 0 3.353 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 3.354 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.354 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.354 * [taylor]: Taking taylor expansion of 0 in K 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [taylor]: Taking taylor expansion of 0 in K 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.355 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 3.355 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 3.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 3.355 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 3.355 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 3.355 * [taylor]: Taking taylor expansion of 1/4 in K 3.355 * [backup-simplify]: Simplify 1/4 into 1/4 3.355 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 3.355 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.355 * [taylor]: Taking taylor expansion of J in K 3.355 * [backup-simplify]: Simplify J into J 3.355 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 3.355 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.355 * [taylor]: Taking taylor expansion of U in K 3.355 * [backup-simplify]: Simplify U into U 3.355 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.355 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.355 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.355 * [taylor]: Taking taylor expansion of 1/2 in K 3.355 * [backup-simplify]: Simplify 1/2 into 1/2 3.355 * [taylor]: Taking taylor expansion of K in K 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.356 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.356 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.356 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.356 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.356 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.356 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.356 * [taylor]: Taking taylor expansion of 1 in K 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 3.357 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 3.357 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 3.358 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.358 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.358 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.358 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.358 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.359 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.360 * [backup-simplify]: Simplify (+ 0 0) into 0 3.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 3.360 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 3.360 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 3.360 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 3.360 * [taylor]: Taking taylor expansion of 1/4 in J 3.360 * [backup-simplify]: Simplify 1/4 into 1/4 3.360 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 3.360 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.360 * [taylor]: Taking taylor expansion of J in J 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 3.360 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.360 * [taylor]: Taking taylor expansion of U in J 3.360 * [backup-simplify]: Simplify U into U 3.360 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.360 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.360 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.360 * [taylor]: Taking taylor expansion of 1/2 in J 3.360 * [backup-simplify]: Simplify 1/2 into 1/2 3.360 * [taylor]: Taking taylor expansion of K in J 3.361 * [backup-simplify]: Simplify K into K 3.361 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.361 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.361 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.361 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.361 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.361 * [backup-simplify]: Simplify (- 0) into 0 3.361 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.362 * [backup-simplify]: Simplify (* 1 1) into 1 3.362 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.362 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.362 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.362 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.362 * [taylor]: Taking taylor expansion of 1 in J 3.362 * [backup-simplify]: Simplify 1 into 1 3.363 * [backup-simplify]: Simplify (+ 0 1) into 1 3.363 * [backup-simplify]: Simplify (sqrt 1) into 1 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.364 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 3.364 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 3.364 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 3.364 * [taylor]: Taking taylor expansion of 1/4 in U 3.364 * [backup-simplify]: Simplify 1/4 into 1/4 3.364 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 3.364 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.364 * [taylor]: Taking taylor expansion of J in U 3.364 * [backup-simplify]: Simplify J into J 3.364 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 3.364 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.364 * [taylor]: Taking taylor expansion of U in U 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 3.365 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.365 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.365 * [taylor]: Taking taylor expansion of 1/2 in U 3.365 * [backup-simplify]: Simplify 1/2 into 1/2 3.365 * [taylor]: Taking taylor expansion of K in U 3.365 * [backup-simplify]: Simplify K into K 3.365 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.365 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.365 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.365 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.365 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.365 * [backup-simplify]: Simplify (- 0) into 0 3.365 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.365 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.366 * [backup-simplify]: Simplify (* 1 1) into 1 3.366 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.366 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 3.366 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.366 * [taylor]: Taking taylor expansion of 1 in U 3.366 * [backup-simplify]: Simplify 1 into 1 3.367 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.367 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.367 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.367 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.367 * [backup-simplify]: Simplify (+ 0) into 0 3.368 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.368 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.369 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.369 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.370 * [backup-simplify]: Simplify (- 0) into 0 3.370 * [backup-simplify]: Simplify (+ 0 0) into 0 3.370 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.372 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.373 * [backup-simplify]: Simplify (+ 0 0) into 0 3.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.373 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 3.373 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 3.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 3.373 * [taylor]: Taking taylor expansion of 1/4 in U 3.373 * [backup-simplify]: Simplify 1/4 into 1/4 3.373 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 3.373 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.373 * [taylor]: Taking taylor expansion of J in U 3.373 * [backup-simplify]: Simplify J into J 3.373 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 3.373 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.373 * [taylor]: Taking taylor expansion of U in U 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 3.373 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.374 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.374 * [taylor]: Taking taylor expansion of 1/2 in U 3.374 * [backup-simplify]: Simplify 1/2 into 1/2 3.374 * [taylor]: Taking taylor expansion of K in U 3.374 * [backup-simplify]: Simplify K into K 3.374 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.374 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.374 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.374 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.374 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.374 * [backup-simplify]: Simplify (- 0) into 0 3.374 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.374 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.375 * [backup-simplify]: Simplify (* 1 1) into 1 3.375 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.375 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 3.375 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.375 * [taylor]: Taking taylor expansion of 1 in U 3.375 * [backup-simplify]: Simplify 1 into 1 3.375 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.376 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.376 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.376 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.376 * [backup-simplify]: Simplify (+ 0) into 0 3.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.377 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.378 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.378 * [backup-simplify]: Simplify (- 0) into 0 3.379 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.380 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.381 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.381 * [backup-simplify]: Simplify (+ 0 0) into 0 3.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 3.382 * [taylor]: Taking taylor expansion of 1/2 in J 3.382 * [backup-simplify]: Simplify 1/2 into 1/2 3.382 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 3.382 * [taylor]: Taking taylor expansion of J in J 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.382 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.382 * [taylor]: Taking taylor expansion of 1/2 in J 3.382 * [backup-simplify]: Simplify 1/2 into 1/2 3.382 * [taylor]: Taking taylor expansion of K in J 3.382 * [backup-simplify]: Simplify K into K 3.382 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.382 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.382 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.382 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.382 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.383 * [backup-simplify]: Simplify (- 0) into 0 3.383 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.383 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.383 * [taylor]: Taking taylor expansion of 0 in J 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [taylor]: Taking taylor expansion of 0 in K 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 3.383 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 3.383 * [taylor]: Taking taylor expansion of 1/2 in K 3.383 * [backup-simplify]: Simplify 1/2 into 1/2 3.383 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.383 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.383 * [taylor]: Taking taylor expansion of 1/2 in K 3.383 * [backup-simplify]: Simplify 1/2 into 1/2 3.383 * [taylor]: Taking taylor expansion of K in K 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.384 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.384 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 3.384 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 3.385 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.385 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.386 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.386 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.387 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.388 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.388 * [backup-simplify]: Simplify (- 0) into 0 3.388 * [backup-simplify]: Simplify (+ 0 0) into 0 3.389 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 3.391 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.392 * [backup-simplify]: Simplify (+ 0 1) into 1 3.393 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 3.393 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.393 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.393 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.393 * [taylor]: Taking taylor expansion of 1/2 in J 3.393 * [backup-simplify]: Simplify 1/2 into 1/2 3.393 * [taylor]: Taking taylor expansion of K in J 3.393 * [backup-simplify]: Simplify K into K 3.393 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.393 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.393 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.393 * [taylor]: Taking taylor expansion of J in J 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.394 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.394 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.394 * [backup-simplify]: Simplify (- 0) into 0 3.394 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.394 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.395 * [backup-simplify]: Simplify (+ 0) into 0 3.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.395 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.396 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.397 * [backup-simplify]: Simplify (- 0) into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.398 * [taylor]: Taking taylor expansion of 0 in K 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [taylor]: Taking taylor expansion of 0 in K 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (+ 0) into 0 3.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.399 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.400 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.400 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.400 * [backup-simplify]: Simplify (- 0) into 0 3.401 * [backup-simplify]: Simplify (+ 0 0) into 0 3.401 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 3.402 * [taylor]: Taking taylor expansion of 0 in K 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.404 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.404 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.405 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.406 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.407 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.407 * [backup-simplify]: Simplify (- 0) into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.411 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.412 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.412 * [backup-simplify]: Simplify (+ 0 0) into 0 3.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 3.412 * [taylor]: Taking taylor expansion of 0 in J 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [taylor]: Taking taylor expansion of 0 in K 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 3.413 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 3.413 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 3.413 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 3.413 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 3.413 * [taylor]: Taking taylor expansion of 1 in K 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 3.413 * [taylor]: Taking taylor expansion of 1/4 in K 3.413 * [backup-simplify]: Simplify 1/4 into 1/4 3.413 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 3.413 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.413 * [taylor]: Taking taylor expansion of J in K 3.413 * [backup-simplify]: Simplify J into J 3.413 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 3.413 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.413 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.413 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.413 * [taylor]: Taking taylor expansion of -1/2 in K 3.413 * [backup-simplify]: Simplify -1/2 into -1/2 3.413 * [taylor]: Taking taylor expansion of K in K 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.413 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.413 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.413 * [taylor]: Taking taylor expansion of U in K 3.413 * [backup-simplify]: Simplify U into U 3.413 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.414 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.414 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.414 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.414 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.414 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 3.414 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 3.415 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 3.415 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.415 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.415 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.416 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 3.417 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.417 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 3.418 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.418 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.418 * [taylor]: Taking taylor expansion of 1 in J 3.418 * [backup-simplify]: Simplify 1 into 1 3.418 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.418 * [taylor]: Taking taylor expansion of 1/4 in J 3.418 * [backup-simplify]: Simplify 1/4 into 1/4 3.418 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.418 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.418 * [taylor]: Taking taylor expansion of J in J 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.418 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.418 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.418 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.418 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.418 * [taylor]: Taking taylor expansion of -1/2 in J 3.418 * [backup-simplify]: Simplify -1/2 into -1/2 3.418 * [taylor]: Taking taylor expansion of K in J 3.418 * [backup-simplify]: Simplify K into K 3.418 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.418 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.418 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.418 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.419 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.419 * [backup-simplify]: Simplify (- 0) into 0 3.419 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.419 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.419 * [taylor]: Taking taylor expansion of U in J 3.419 * [backup-simplify]: Simplify U into U 3.420 * [backup-simplify]: Simplify (* 1 1) into 1 3.420 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.420 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.420 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.420 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.421 * [backup-simplify]: Simplify (+ 1 0) into 1 3.421 * [backup-simplify]: Simplify (sqrt 1) into 1 3.421 * [backup-simplify]: Simplify (+ 0 0) into 0 3.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.422 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 3.422 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 3.422 * [taylor]: Taking taylor expansion of 1 in U 3.422 * [backup-simplify]: Simplify 1 into 1 3.422 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.422 * [taylor]: Taking taylor expansion of 1/4 in U 3.422 * [backup-simplify]: Simplify 1/4 into 1/4 3.422 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.422 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.422 * [taylor]: Taking taylor expansion of J in U 3.422 * [backup-simplify]: Simplify J into J 3.422 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.423 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.423 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.423 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.423 * [taylor]: Taking taylor expansion of -1/2 in U 3.423 * [backup-simplify]: Simplify -1/2 into -1/2 3.423 * [taylor]: Taking taylor expansion of K in U 3.423 * [backup-simplify]: Simplify K into K 3.423 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.423 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.423 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.423 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.423 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.423 * [backup-simplify]: Simplify (- 0) into 0 3.424 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.424 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.424 * [taylor]: Taking taylor expansion of U in U 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.424 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.424 * [backup-simplify]: Simplify (* 1 1) into 1 3.424 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.425 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.425 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.425 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.425 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.425 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.427 * [backup-simplify]: Simplify (+ 0) into 0 3.427 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.427 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.428 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.429 * [backup-simplify]: Simplify (- 0) into 0 3.429 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.430 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 3.430 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.431 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.431 * [backup-simplify]: Simplify (+ 0 0) into 0 3.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.432 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 3.432 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 3.432 * [taylor]: Taking taylor expansion of 1 in U 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.432 * [taylor]: Taking taylor expansion of 1/4 in U 3.432 * [backup-simplify]: Simplify 1/4 into 1/4 3.432 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.432 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.432 * [taylor]: Taking taylor expansion of J in U 3.432 * [backup-simplify]: Simplify J into J 3.432 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.432 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.432 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.432 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.432 * [taylor]: Taking taylor expansion of -1/2 in U 3.432 * [backup-simplify]: Simplify -1/2 into -1/2 3.432 * [taylor]: Taking taylor expansion of K in U 3.432 * [backup-simplify]: Simplify K into K 3.433 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.433 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.433 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.433 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.433 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.433 * [backup-simplify]: Simplify (- 0) into 0 3.433 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.433 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.433 * [taylor]: Taking taylor expansion of U in U 3.433 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.434 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.434 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.434 * [backup-simplify]: Simplify (* 1 1) into 1 3.434 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.434 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.435 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.435 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.435 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.435 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.436 * [backup-simplify]: Simplify (+ 0) into 0 3.437 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.439 * [backup-simplify]: Simplify (- 0) into 0 3.439 * [backup-simplify]: Simplify (+ 0 0) into 0 3.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.440 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 3.440 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.441 * [backup-simplify]: Simplify (+ 0 0) into 0 3.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 3.442 * [taylor]: Taking taylor expansion of 1/2 in J 3.442 * [backup-simplify]: Simplify 1/2 into 1/2 3.442 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 3.442 * [taylor]: Taking taylor expansion of J in J 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 1 into 1 3.442 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.442 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.442 * [taylor]: Taking taylor expansion of -1/2 in J 3.442 * [backup-simplify]: Simplify -1/2 into -1/2 3.442 * [taylor]: Taking taylor expansion of K in J 3.442 * [backup-simplify]: Simplify K into K 3.442 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.442 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.442 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.442 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.442 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.443 * [backup-simplify]: Simplify (- 0) into 0 3.443 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.443 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 3.443 * [taylor]: Taking taylor expansion of 0 in J 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [taylor]: Taking taylor expansion of 0 in K 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 3.443 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 3.443 * [taylor]: Taking taylor expansion of 1/2 in K 3.443 * [backup-simplify]: Simplify 1/2 into 1/2 3.443 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.443 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.443 * [taylor]: Taking taylor expansion of -1/2 in K 3.443 * [backup-simplify]: Simplify -1/2 into -1/2 3.443 * [taylor]: Taking taylor expansion of K in K 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.444 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.444 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.444 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 3.444 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 3.445 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.446 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.447 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.447 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.448 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.449 * [backup-simplify]: Simplify (- 0) into 0 3.449 * [backup-simplify]: Simplify (+ 0 0) into 0 3.450 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.451 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.451 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.452 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 3.453 * [backup-simplify]: Simplify (+ 1 0) into 1 3.454 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 3.454 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.454 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.454 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.454 * [taylor]: Taking taylor expansion of -1/2 in J 3.454 * [backup-simplify]: Simplify -1/2 into -1/2 3.454 * [taylor]: Taking taylor expansion of K in J 3.454 * [backup-simplify]: Simplify K into K 3.454 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.454 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.454 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.454 * [taylor]: Taking taylor expansion of J in J 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.454 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.455 * [backup-simplify]: Simplify (- 0) into 0 3.455 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.455 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.455 * [backup-simplify]: Simplify (+ 0) into 0 3.456 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.456 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.457 * [backup-simplify]: Simplify (- 0) into 0 3.458 * [backup-simplify]: Simplify (+ 0 0) into 0 3.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.459 * [taylor]: Taking taylor expansion of 0 in K 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [taylor]: Taking taylor expansion of 0 in K 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify (+ 0) into 0 3.460 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.460 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.461 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.462 * [backup-simplify]: Simplify (- 0) into 0 3.462 * [backup-simplify]: Simplify (+ 0 0) into 0 3.462 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 3.463 * [taylor]: Taking taylor expansion of 0 in K 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.465 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.466 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.466 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.467 * [backup-simplify]: Simplify (- 0) into 0 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.468 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.468 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.469 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.469 * [backup-simplify]: Simplify (+ 0 0) into 0 3.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 3.470 * [taylor]: Taking taylor expansion of 0 in J 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [taylor]: Taking taylor expansion of 0 in K 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 3.470 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.470 * [backup-simplify]: Simplify (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) into (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) 3.470 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in (U J K) around 0 3.470 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in K 3.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 3.470 * [taylor]: Taking taylor expansion of 1/2 in K 3.470 * [backup-simplify]: Simplify 1/2 into 1/2 3.470 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 3.470 * [taylor]: Taking taylor expansion of U in K 3.470 * [backup-simplify]: Simplify U into U 3.470 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 3.470 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.470 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.470 * [taylor]: Taking taylor expansion of 1/2 in K 3.470 * [backup-simplify]: Simplify 1/2 into 1/2 3.470 * [taylor]: Taking taylor expansion of K in K 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.472 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.472 * [taylor]: Taking taylor expansion of J in K 3.472 * [backup-simplify]: Simplify J into J 3.472 * [backup-simplify]: Simplify (* 1 J) into J 3.472 * [backup-simplify]: Simplify (/ U J) into (/ U J) 3.472 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 3.472 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in J 3.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 3.472 * [taylor]: Taking taylor expansion of 1/2 in J 3.472 * [backup-simplify]: Simplify 1/2 into 1/2 3.472 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 3.472 * [taylor]: Taking taylor expansion of U in J 3.472 * [backup-simplify]: Simplify U into U 3.472 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.472 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.472 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.472 * [taylor]: Taking taylor expansion of 1/2 in J 3.472 * [backup-simplify]: Simplify 1/2 into 1/2 3.472 * [taylor]: Taking taylor expansion of K in J 3.472 * [backup-simplify]: Simplify K into K 3.472 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.472 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.472 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.473 * [taylor]: Taking taylor expansion of J in J 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.473 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.473 * [backup-simplify]: Simplify (- 0) into 0 3.473 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.474 * [backup-simplify]: Simplify (+ 0) into 0 3.474 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.476 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.476 * [backup-simplify]: Simplify (- 0) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.477 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 3.477 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.477 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U 3.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.477 * [taylor]: Taking taylor expansion of 1/2 in U 3.478 * [backup-simplify]: Simplify 1/2 into 1/2 3.478 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.478 * [taylor]: Taking taylor expansion of U in U 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.478 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.478 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.478 * [taylor]: Taking taylor expansion of 1/2 in U 3.478 * [backup-simplify]: Simplify 1/2 into 1/2 3.478 * [taylor]: Taking taylor expansion of K in U 3.478 * [backup-simplify]: Simplify K into K 3.478 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.478 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.478 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.478 * [taylor]: Taking taylor expansion of J in U 3.479 * [backup-simplify]: Simplify J into J 3.479 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.479 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.480 * [backup-simplify]: Simplify (- 0) into 0 3.480 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.480 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.480 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.480 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 3.480 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U 3.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.480 * [taylor]: Taking taylor expansion of 1/2 in U 3.480 * [backup-simplify]: Simplify 1/2 into 1/2 3.480 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.480 * [taylor]: Taking taylor expansion of U in U 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.480 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.480 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.481 * [taylor]: Taking taylor expansion of 1/2 in U 3.481 * [backup-simplify]: Simplify 1/2 into 1/2 3.481 * [taylor]: Taking taylor expansion of K in U 3.481 * [backup-simplify]: Simplify K into K 3.481 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.481 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.481 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.481 * [taylor]: Taking taylor expansion of J in U 3.481 * [backup-simplify]: Simplify J into J 3.481 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.481 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.481 * [backup-simplify]: Simplify (- 0) into 0 3.482 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.482 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.482 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.482 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 3.482 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.482 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.482 * [taylor]: Taking taylor expansion of 1/4 in J 3.482 * [backup-simplify]: Simplify 1/4 into 1/4 3.482 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.482 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.482 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.482 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.482 * [taylor]: Taking taylor expansion of 1/2 in J 3.482 * [backup-simplify]: Simplify 1/2 into 1/2 3.482 * [taylor]: Taking taylor expansion of K in J 3.483 * [backup-simplify]: Simplify K into K 3.483 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.483 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.483 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.483 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.483 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.483 * [backup-simplify]: Simplify (- 0) into 0 3.483 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.483 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.483 * [taylor]: Taking taylor expansion of J in J 3.483 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.484 * [backup-simplify]: Simplify (* 1 1) into 1 3.484 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.484 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 3.484 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 3.484 * [taylor]: Taking taylor expansion of 1/4 in K 3.484 * [backup-simplify]: Simplify 1/4 into 1/4 3.484 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.484 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.484 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.485 * [taylor]: Taking taylor expansion of 1/2 in K 3.485 * [backup-simplify]: Simplify 1/2 into 1/2 3.485 * [taylor]: Taking taylor expansion of K in K 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 1 into 1 3.485 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.486 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.486 * [backup-simplify]: Simplify (* 1 1) into 1 3.487 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 3.487 * [backup-simplify]: Simplify 1/4 into 1/4 3.487 * [backup-simplify]: Simplify (+ 0) into 0 3.488 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.491 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.492 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.492 * [backup-simplify]: Simplify (- 0) into 0 3.493 * [backup-simplify]: Simplify (+ 0 0) into 0 3.493 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 3.493 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 3.494 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 3.494 * [taylor]: Taking taylor expansion of 0 in J 3.494 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.495 * [backup-simplify]: Simplify (+ 0) into 0 3.496 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.497 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.498 * [backup-simplify]: Simplify (- 0) into 0 3.498 * [backup-simplify]: Simplify (+ 0 0) into 0 3.498 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.499 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.499 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.499 * [taylor]: Taking taylor expansion of 0 in K 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify (+ 0) into 0 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.503 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.504 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.505 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.505 * [backup-simplify]: Simplify (- 0) into 0 3.506 * [backup-simplify]: Simplify (+ 0 0) into 0 3.506 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 3.507 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 3.508 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0 3.508 * [taylor]: Taking taylor expansion of 0 in J 3.508 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.510 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.512 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.512 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.512 * [backup-simplify]: Simplify (- 0) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.513 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 3.513 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.514 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.514 * [taylor]: Taking taylor expansion of 0 in K 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 3.515 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 3.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 3.516 * [backup-simplify]: Simplify 1/16 into 1/16 3.516 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.517 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.518 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.519 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.519 * [backup-simplify]: Simplify (- 0) into 0 3.519 * [backup-simplify]: Simplify (+ 0 0) into 0 3.520 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.520 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 3.521 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 3.521 * [taylor]: Taking taylor expansion of 0 in J 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [taylor]: Taking taylor expansion of 0 in K 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.523 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.525 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.525 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.525 * [backup-simplify]: Simplify (- 0) into 0 3.526 * [backup-simplify]: Simplify (+ 0 0) into 0 3.526 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 3.527 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.527 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.527 * [taylor]: Taking taylor expansion of 0 in K 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.529 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 3.532 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 3.534 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.534 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.535 * [backup-simplify]: Simplify (- 0) into 0 3.535 * [backup-simplify]: Simplify (+ 0 0) into 0 3.536 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 3.536 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))))) into 0 3.538 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 3.538 * [taylor]: Taking taylor expansion of 0 in J 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [taylor]: Taking taylor expansion of 0 in K 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 3.539 * [backup-simplify]: Simplify (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) 3.539 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in (U J K) around 0 3.539 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in K 3.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 3.539 * [taylor]: Taking taylor expansion of 1/2 in K 3.539 * [backup-simplify]: Simplify 1/2 into 1/2 3.539 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 3.539 * [taylor]: Taking taylor expansion of J in K 3.539 * [backup-simplify]: Simplify J into J 3.539 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 3.539 * [taylor]: Taking taylor expansion of U in K 3.539 * [backup-simplify]: Simplify U into U 3.539 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.539 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.539 * [taylor]: Taking taylor expansion of 1/2 in K 3.539 * [backup-simplify]: Simplify 1/2 into 1/2 3.539 * [taylor]: Taking taylor expansion of K in K 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 1 into 1 3.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.539 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.539 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.539 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 3.540 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 3.540 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in J 3.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 3.540 * [taylor]: Taking taylor expansion of 1/2 in J 3.540 * [backup-simplify]: Simplify 1/2 into 1/2 3.540 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 3.540 * [taylor]: Taking taylor expansion of J in J 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.540 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 3.540 * [taylor]: Taking taylor expansion of U in J 3.540 * [backup-simplify]: Simplify U into U 3.540 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.540 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.540 * [taylor]: Taking taylor expansion of 1/2 in J 3.540 * [backup-simplify]: Simplify 1/2 into 1/2 3.540 * [taylor]: Taking taylor expansion of K in J 3.540 * [backup-simplify]: Simplify K into K 3.540 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.540 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.540 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.540 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.540 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.540 * [backup-simplify]: Simplify (- 0) into 0 3.540 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.540 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.540 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 3.541 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* U (cos (/ 1/2 K))))) into (/ 1/2 (* U (cos (/ 1/2 K)))) 3.541 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U 3.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.541 * [taylor]: Taking taylor expansion of 1/2 in U 3.541 * [backup-simplify]: Simplify 1/2 into 1/2 3.541 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.541 * [taylor]: Taking taylor expansion of J in U 3.541 * [backup-simplify]: Simplify J into J 3.541 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.541 * [taylor]: Taking taylor expansion of U in U 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.541 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.541 * [taylor]: Taking taylor expansion of 1/2 in U 3.541 * [backup-simplify]: Simplify 1/2 into 1/2 3.541 * [taylor]: Taking taylor expansion of K in U 3.541 * [backup-simplify]: Simplify K into K 3.541 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.541 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.541 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.541 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.541 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.541 * [backup-simplify]: Simplify (- 0) into 0 3.541 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.541 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.542 * [backup-simplify]: Simplify (+ 0) into 0 3.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.542 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.543 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.543 * [backup-simplify]: Simplify (- 0) into 0 3.544 * [backup-simplify]: Simplify (+ 0 0) into 0 3.544 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.544 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.544 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.544 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U 3.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.544 * [taylor]: Taking taylor expansion of 1/2 in U 3.544 * [backup-simplify]: Simplify 1/2 into 1/2 3.544 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.544 * [taylor]: Taking taylor expansion of J in U 3.544 * [backup-simplify]: Simplify J into J 3.544 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.544 * [taylor]: Taking taylor expansion of U in U 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.544 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.544 * [taylor]: Taking taylor expansion of 1/2 in U 3.544 * [backup-simplify]: Simplify 1/2 into 1/2 3.544 * [taylor]: Taking taylor expansion of K in U 3.544 * [backup-simplify]: Simplify K into K 3.544 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.544 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.544 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.544 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.544 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.545 * [backup-simplify]: Simplify (- 0) into 0 3.545 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.545 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.545 * [backup-simplify]: Simplify (+ 0) into 0 3.545 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.546 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.546 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.547 * [backup-simplify]: Simplify (- 0) into 0 3.547 * [backup-simplify]: Simplify (+ 0 0) into 0 3.547 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.547 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.547 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.547 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.547 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 3.547 * [taylor]: Taking taylor expansion of 1/4 in J 3.547 * [backup-simplify]: Simplify 1/4 into 1/4 3.547 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 3.547 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.547 * [taylor]: Taking taylor expansion of J in J 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.547 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.548 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.548 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.548 * [taylor]: Taking taylor expansion of 1/2 in J 3.548 * [backup-simplify]: Simplify 1/2 into 1/2 3.548 * [taylor]: Taking taylor expansion of K in J 3.548 * [backup-simplify]: Simplify K into K 3.548 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.548 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.548 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.548 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.548 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.548 * [backup-simplify]: Simplify (- 0) into 0 3.548 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.548 * [backup-simplify]: Simplify (* 1 1) into 1 3.548 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.549 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 3.549 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.549 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 3.549 * [taylor]: Taking taylor expansion of 1/4 in K 3.549 * [backup-simplify]: Simplify 1/4 into 1/4 3.549 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.549 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.549 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.549 * [taylor]: Taking taylor expansion of 1/2 in K 3.549 * [backup-simplify]: Simplify 1/2 into 1/2 3.549 * [taylor]: Taking taylor expansion of K in K 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.549 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.549 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.549 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.549 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.551 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.551 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.552 * [backup-simplify]: Simplify (- 0) into 0 3.552 * [backup-simplify]: Simplify (+ 0 0) into 0 3.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 3.552 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 3.553 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 3.553 * [taylor]: Taking taylor expansion of 0 in J 3.553 * [backup-simplify]: Simplify 0 into 0 3.553 * [taylor]: Taking taylor expansion of 0 in K 3.553 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.554 * [backup-simplify]: Simplify (+ 0) into 0 3.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.554 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.555 * [backup-simplify]: Simplify (- 0) into 0 3.555 * [backup-simplify]: Simplify (+ 0 0) into 0 3.555 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.556 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.556 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 3.556 * [taylor]: Taking taylor expansion of 0 in K 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.556 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.557 * [backup-simplify]: Simplify 0 into 0 3.557 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.558 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.558 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.559 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.559 * [backup-simplify]: Simplify (- 0) into 0 3.560 * [backup-simplify]: Simplify (+ 0 0) into 0 3.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.560 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 3.561 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 3.561 * [taylor]: Taking taylor expansion of 0 in J 3.561 * [backup-simplify]: Simplify 0 into 0 3.561 * [taylor]: Taking taylor expansion of 0 in K 3.561 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [taylor]: Taking taylor expansion of 0 in K 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.563 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.563 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.564 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.564 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.564 * [backup-simplify]: Simplify (- 0) into 0 3.565 * [backup-simplify]: Simplify (+ 0 0) into 0 3.565 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.565 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.566 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 3.566 * [taylor]: Taking taylor expansion of 0 in K 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 3.566 * [backup-simplify]: Simplify (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) 3.566 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in (U J K) around 0 3.566 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in K 3.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 3.566 * [taylor]: Taking taylor expansion of 1/2 in K 3.566 * [backup-simplify]: Simplify 1/2 into 1/2 3.566 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 3.566 * [taylor]: Taking taylor expansion of J in K 3.566 * [backup-simplify]: Simplify J into J 3.566 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 3.566 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.566 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.566 * [taylor]: Taking taylor expansion of -1/2 in K 3.566 * [backup-simplify]: Simplify -1/2 into -1/2 3.566 * [taylor]: Taking taylor expansion of K in K 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.567 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.567 * [taylor]: Taking taylor expansion of U in K 3.567 * [backup-simplify]: Simplify U into U 3.567 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.567 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 3.567 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 3.567 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in J 3.567 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 3.567 * [taylor]: Taking taylor expansion of 1/2 in J 3.567 * [backup-simplify]: Simplify 1/2 into 1/2 3.567 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 3.567 * [taylor]: Taking taylor expansion of J in J 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 3.567 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.567 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.567 * [taylor]: Taking taylor expansion of -1/2 in J 3.567 * [backup-simplify]: Simplify -1/2 into -1/2 3.567 * [taylor]: Taking taylor expansion of K in J 3.567 * [backup-simplify]: Simplify K into K 3.567 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.567 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.567 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.567 * [taylor]: Taking taylor expansion of U in J 3.567 * [backup-simplify]: Simplify U into U 3.567 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.568 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.568 * [backup-simplify]: Simplify (- 0) into 0 3.568 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.568 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.568 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 3.568 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (/ -1/2 K)) U))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) 3.568 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U 3.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.568 * [taylor]: Taking taylor expansion of 1/2 in U 3.568 * [backup-simplify]: Simplify 1/2 into 1/2 3.568 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.568 * [taylor]: Taking taylor expansion of J in U 3.568 * [backup-simplify]: Simplify J into J 3.568 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.568 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.568 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.568 * [taylor]: Taking taylor expansion of -1/2 in U 3.568 * [backup-simplify]: Simplify -1/2 into -1/2 3.568 * [taylor]: Taking taylor expansion of K in U 3.568 * [backup-simplify]: Simplify K into K 3.568 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.568 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.568 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.568 * [taylor]: Taking taylor expansion of U in U 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify 1 into 1 3.568 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.569 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.569 * [backup-simplify]: Simplify (- 0) into 0 3.569 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.569 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.569 * [backup-simplify]: Simplify (+ 0) into 0 3.569 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.570 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.570 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.570 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.571 * [backup-simplify]: Simplify (- 0) into 0 3.571 * [backup-simplify]: Simplify (+ 0 0) into 0 3.571 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.571 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.571 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.571 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U 3.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.571 * [taylor]: Taking taylor expansion of 1/2 in U 3.571 * [backup-simplify]: Simplify 1/2 into 1/2 3.571 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.571 * [taylor]: Taking taylor expansion of J in U 3.571 * [backup-simplify]: Simplify J into J 3.571 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.571 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.571 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.571 * [taylor]: Taking taylor expansion of -1/2 in U 3.571 * [backup-simplify]: Simplify -1/2 into -1/2 3.571 * [taylor]: Taking taylor expansion of K in U 3.571 * [backup-simplify]: Simplify K into K 3.571 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.572 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.572 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.572 * [taylor]: Taking taylor expansion of U in U 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.572 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.572 * [backup-simplify]: Simplify (- 0) into 0 3.572 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.572 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.572 * [backup-simplify]: Simplify (+ 0) into 0 3.573 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.573 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.574 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.574 * [backup-simplify]: Simplify (- 0) into 0 3.574 * [backup-simplify]: Simplify (+ 0 0) into 0 3.574 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.574 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.574 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.575 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.575 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 3.575 * [taylor]: Taking taylor expansion of 1/4 in J 3.575 * [backup-simplify]: Simplify 1/4 into 1/4 3.575 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 3.575 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.575 * [taylor]: Taking taylor expansion of J in J 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.575 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.575 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.575 * [taylor]: Taking taylor expansion of -1/2 in J 3.575 * [backup-simplify]: Simplify -1/2 into -1/2 3.575 * [taylor]: Taking taylor expansion of K in J 3.575 * [backup-simplify]: Simplify K into K 3.575 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.575 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.575 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.575 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.575 * [backup-simplify]: Simplify (- 0) into 0 3.575 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.576 * [backup-simplify]: Simplify (* 1 1) into 1 3.576 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.576 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 3.576 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.576 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 3.576 * [taylor]: Taking taylor expansion of 1/4 in K 3.576 * [backup-simplify]: Simplify 1/4 into 1/4 3.576 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.576 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.576 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.576 * [taylor]: Taking taylor expansion of -1/2 in K 3.576 * [backup-simplify]: Simplify -1/2 into -1/2 3.576 * [taylor]: Taking taylor expansion of K in K 3.576 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify 1 into 1 3.576 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.576 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.576 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.577 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.577 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.577 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.578 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.578 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.579 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.579 * [backup-simplify]: Simplify (- 0) into 0 3.579 * [backup-simplify]: Simplify (+ 0 0) into 0 3.579 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.580 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 3.580 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 3.580 * [taylor]: Taking taylor expansion of 0 in J 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [taylor]: Taking taylor expansion of 0 in K 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.581 * [backup-simplify]: Simplify (+ 0) into 0 3.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.581 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.582 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.582 * [backup-simplify]: Simplify (- 0) into 0 3.583 * [backup-simplify]: Simplify (+ 0 0) into 0 3.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.583 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.583 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 3.583 * [taylor]: Taking taylor expansion of 0 in K 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.584 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.587 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.588 * [backup-simplify]: Simplify (- 0) into 0 3.589 * [backup-simplify]: Simplify (+ 0 0) into 0 3.589 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.590 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 3.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 3.591 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 3.591 * [taylor]: Taking taylor expansion of 0 in J 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [taylor]: Taking taylor expansion of 0 in K 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [taylor]: Taking taylor expansion of 0 in K 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.592 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.593 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.593 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.594 * [backup-simplify]: Simplify (- 0) into 0 3.594 * [backup-simplify]: Simplify (+ 0 0) into 0 3.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.595 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.595 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 3.595 * [taylor]: Taking taylor expansion of 0 in K 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 3.595 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.596 * [backup-simplify]: Simplify (* (* -2 J) (cos (/ K 2))) into (* -2 (* (cos (* 1/2 K)) J)) 3.596 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (J K) around 0 3.596 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 3.596 * [taylor]: Taking taylor expansion of -2 in K 3.596 * [backup-simplify]: Simplify -2 into -2 3.596 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 3.596 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.596 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.596 * [taylor]: Taking taylor expansion of 1/2 in K 3.596 * [backup-simplify]: Simplify 1/2 into 1/2 3.596 * [taylor]: Taking taylor expansion of K in K 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify 1 into 1 3.596 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.596 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.597 * [taylor]: Taking taylor expansion of J in K 3.597 * [backup-simplify]: Simplify J into J 3.597 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 3.597 * [taylor]: Taking taylor expansion of -2 in J 3.597 * [backup-simplify]: Simplify -2 into -2 3.597 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.597 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.597 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.597 * [taylor]: Taking taylor expansion of 1/2 in J 3.597 * [backup-simplify]: Simplify 1/2 into 1/2 3.597 * [taylor]: Taking taylor expansion of K in J 3.597 * [backup-simplify]: Simplify K into K 3.597 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.597 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.597 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.597 * [taylor]: Taking taylor expansion of J in J 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify 1 into 1 3.597 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 3.597 * [taylor]: Taking taylor expansion of -2 in J 3.597 * [backup-simplify]: Simplify -2 into -2 3.597 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.597 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.597 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.597 * [taylor]: Taking taylor expansion of 1/2 in J 3.597 * [backup-simplify]: Simplify 1/2 into 1/2 3.597 * [taylor]: Taking taylor expansion of K in J 3.597 * [backup-simplify]: Simplify K into K 3.597 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.597 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.597 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.597 * [taylor]: Taking taylor expansion of J in J 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify 1 into 1 3.597 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.597 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.598 * [backup-simplify]: Simplify (- 0) into 0 3.598 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.598 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.598 * [backup-simplify]: Simplify (* -2 0) into 0 3.598 * [taylor]: Taking taylor expansion of 0 in K 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (+ 0) into 0 3.599 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.599 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.600 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.600 * [backup-simplify]: Simplify (- 0) into 0 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.600 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.601 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 3.601 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 3.601 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 3.601 * [taylor]: Taking taylor expansion of 2 in K 3.601 * [backup-simplify]: Simplify 2 into 2 3.601 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.601 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.601 * [taylor]: Taking taylor expansion of 1/2 in K 3.601 * [backup-simplify]: Simplify 1/2 into 1/2 3.601 * [taylor]: Taking taylor expansion of K in K 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.602 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.602 * [backup-simplify]: Simplify (* 2 1) into 2 3.602 * [backup-simplify]: Simplify (- 2) into -2 3.602 * [backup-simplify]: Simplify -2 into -2 3.602 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.603 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.604 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.605 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.605 * [backup-simplify]: Simplify (- 0) into 0 3.605 * [backup-simplify]: Simplify (+ 0 0) into 0 3.605 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.606 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 3.606 * [taylor]: Taking taylor expansion of 0 in K 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (+ 0) into 0 3.607 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.607 * [backup-simplify]: Simplify (- 0) into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.608 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.610 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.610 * [backup-simplify]: Simplify (- 0) into 0 3.611 * [backup-simplify]: Simplify (+ 0 0) into 0 3.611 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.612 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 3.612 * [taylor]: Taking taylor expansion of 0 in K 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify (* -2 (* 1 J)) into (* -2 J) 3.612 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) into (* -2 (/ (cos (/ 1/2 K)) J)) 3.612 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 3.612 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 3.612 * [taylor]: Taking taylor expansion of -2 in K 3.612 * [backup-simplify]: Simplify -2 into -2 3.612 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 3.612 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.612 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.612 * [taylor]: Taking taylor expansion of 1/2 in K 3.612 * [backup-simplify]: Simplify 1/2 into 1/2 3.612 * [taylor]: Taking taylor expansion of K in K 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.613 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.613 * [taylor]: Taking taylor expansion of J in K 3.613 * [backup-simplify]: Simplify J into J 3.613 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.613 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 3.613 * [taylor]: Taking taylor expansion of -2 in J 3.613 * [backup-simplify]: Simplify -2 into -2 3.613 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.613 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.613 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.613 * [taylor]: Taking taylor expansion of 1/2 in J 3.613 * [backup-simplify]: Simplify 1/2 into 1/2 3.613 * [taylor]: Taking taylor expansion of K in J 3.613 * [backup-simplify]: Simplify K into K 3.613 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.613 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.613 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.613 * [taylor]: Taking taylor expansion of J in J 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.613 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.613 * [backup-simplify]: Simplify (- 0) into 0 3.613 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.614 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.614 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 3.614 * [taylor]: Taking taylor expansion of -2 in J 3.614 * [backup-simplify]: Simplify -2 into -2 3.614 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.614 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.614 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.614 * [taylor]: Taking taylor expansion of 1/2 in J 3.614 * [backup-simplify]: Simplify 1/2 into 1/2 3.614 * [taylor]: Taking taylor expansion of K in J 3.614 * [backup-simplify]: Simplify K into K 3.614 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.614 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.614 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.614 * [taylor]: Taking taylor expansion of J in J 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.614 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.614 * [backup-simplify]: Simplify (- 0) into 0 3.614 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.614 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.614 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.614 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 3.614 * [taylor]: Taking taylor expansion of -2 in K 3.614 * [backup-simplify]: Simplify -2 into -2 3.614 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.614 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.615 * [taylor]: Taking taylor expansion of 1/2 in K 3.615 * [backup-simplify]: Simplify 1/2 into 1/2 3.615 * [taylor]: Taking taylor expansion of K in K 3.615 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify 1 into 1 3.615 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.615 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.615 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.615 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.615 * [backup-simplify]: Simplify (+ 0) into 0 3.616 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.616 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.617 * [backup-simplify]: Simplify (- 0) into 0 3.617 * [backup-simplify]: Simplify (+ 0 0) into 0 3.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.618 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.618 * [taylor]: Taking taylor expansion of 0 in K 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.618 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.619 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.620 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.620 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.620 * [backup-simplify]: Simplify (- 0) into 0 3.621 * [backup-simplify]: Simplify (+ 0 0) into 0 3.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.622 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.622 * [taylor]: Taking taylor expansion of 0 in K 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.624 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.625 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.625 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.625 * [backup-simplify]: Simplify (- 0) into 0 3.626 * [backup-simplify]: Simplify (+ 0 0) into 0 3.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.628 * [taylor]: Taking taylor expansion of 0 in K 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* -2 (* (cos (* 1/2 K)) J)) 3.628 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) into (* 2 (/ (cos (/ -1/2 K)) J)) 3.628 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 3.628 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 3.628 * [taylor]: Taking taylor expansion of 2 in K 3.628 * [backup-simplify]: Simplify 2 into 2 3.628 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 3.628 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.628 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.628 * [taylor]: Taking taylor expansion of -1/2 in K 3.628 * [backup-simplify]: Simplify -1/2 into -1/2 3.628 * [taylor]: Taking taylor expansion of K in K 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify 1 into 1 3.628 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.629 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.629 * [taylor]: Taking taylor expansion of J in K 3.629 * [backup-simplify]: Simplify J into J 3.629 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.629 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 3.629 * [taylor]: Taking taylor expansion of 2 in J 3.629 * [backup-simplify]: Simplify 2 into 2 3.629 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.629 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.629 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.629 * [taylor]: Taking taylor expansion of -1/2 in J 3.629 * [backup-simplify]: Simplify -1/2 into -1/2 3.629 * [taylor]: Taking taylor expansion of K in J 3.629 * [backup-simplify]: Simplify K into K 3.629 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.629 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.629 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.629 * [taylor]: Taking taylor expansion of J in J 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 1 into 1 3.629 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.629 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.629 * [backup-simplify]: Simplify (- 0) into 0 3.629 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.629 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.630 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 3.630 * [taylor]: Taking taylor expansion of 2 in J 3.630 * [backup-simplify]: Simplify 2 into 2 3.630 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.630 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.630 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.630 * [taylor]: Taking taylor expansion of -1/2 in J 3.630 * [backup-simplify]: Simplify -1/2 into -1/2 3.630 * [taylor]: Taking taylor expansion of K in J 3.630 * [backup-simplify]: Simplify K into K 3.630 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.630 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.630 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.630 * [taylor]: Taking taylor expansion of J in J 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 1 into 1 3.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.630 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.630 * [backup-simplify]: Simplify (- 0) into 0 3.630 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.630 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.630 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.630 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 3.630 * [taylor]: Taking taylor expansion of 2 in K 3.630 * [backup-simplify]: Simplify 2 into 2 3.630 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.630 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.631 * [taylor]: Taking taylor expansion of -1/2 in K 3.631 * [backup-simplify]: Simplify -1/2 into -1/2 3.631 * [taylor]: Taking taylor expansion of K in K 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.631 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.631 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.631 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.631 * [backup-simplify]: Simplify (+ 0) into 0 3.632 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.632 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.633 * [backup-simplify]: Simplify (- 0) into 0 3.633 * [backup-simplify]: Simplify (+ 0 0) into 0 3.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.634 * [taylor]: Taking taylor expansion of 0 in K 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.634 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.635 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.635 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.636 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.636 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.637 * [backup-simplify]: Simplify (- 0) into 0 3.637 * [backup-simplify]: Simplify (+ 0 0) into 0 3.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.638 * [taylor]: Taking taylor expansion of 0 in K 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.641 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.642 * [backup-simplify]: Simplify (- 0) into 0 3.642 * [backup-simplify]: Simplify (+ 0 0) into 0 3.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.644 * [taylor]: Taking taylor expansion of 0 in K 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.644 * * * [progress]: simplifying candidates 3.644 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 3.644 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 3.644 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 6 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 7 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 8 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 9 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 10 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 11 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 12 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 13 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 14 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 15 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 16 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 17 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 18 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 19 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 20 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 21 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 22 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 23 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 24 / 102 ] simplifiying candidate # 3.645 * * * * [progress]: [ 25 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 26 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 27 / 102 ] simplifiying candidate #real (real->posit16 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.646 * * * * [progress]: [ 28 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 29 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 30 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 31 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 32 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 33 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 34 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 35 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 36 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 37 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 38 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 44 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 45 / 102 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.646 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 47 / 102 ] simplifiying candidate # 3.646 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 49 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 50 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 51 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 52 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 53 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 54 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 55 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 56 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 57 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 58 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 59 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 60 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 61 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 62 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 63 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 64 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 65 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 66 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 67 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 68 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 69 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 70 / 102 ] simplifiying candidate # 3.647 * * * * [progress]: [ 71 / 102 ] simplifiying candidate #real (real->posit16 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.647 * * * * [progress]: [ 72 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 73 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 74 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 75 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 76 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 77 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 78 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 79 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 80 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 81 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 82 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 89 / 102 ] simplifiying candidate #real (real->posit16 (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> 3.648 * * * * [progress]: [ 90 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 93 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 3.648 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 3.649 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 3.649 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 3.649 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 3.649 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 3.650 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (+ (+ (log -2) (log J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (exp (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) 1) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (real->posit16 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ 1 2) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (log U) (+ (+ (log 2) (log J)) (log (cos (/ K 2))))) 2) (* (- (log U) (+ (log (* 2 J)) (log (cos (/ K 2))))) 2) (* (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 2) (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) (* 1 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (* (cbrt 2) (cbrt 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 1) (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2) (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) (pow (/ (* (cbrt U) (cbrt U)) (* 2 J)) 2) (pow (/ (cbrt U) (cos (/ K 2))) 2) (pow (/ (sqrt U) (* 2 J)) 2) (pow (/ (sqrt U) (cos (/ K 2))) 2) (pow (/ 1 (* 2 J)) 2) (pow (/ U (cos (/ K 2))) 2) (pow 1 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow U 2) (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2) (log (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (exp (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (/ 2 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (/ 2 2)) (real->posit16 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))) (+ (+ (log -2) (log J)) (log (cos (/ K 2)))) (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (* (* -2 J) (cos (/ K 2)))) (exp (* (* -2 J) (cos (/ K 2)))) (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))) (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (sqrt (cos (/ K 2)))) (* (* -2 J) 1) (* J (cos (/ K 2))) (real->posit16 (* (* -2 J) (cos (/ K 2)))) 0 (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* -2 J) (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) 3.652 * * [simplify]: iteration 0: 179 enodes 3.707 * * [simplify]: iteration 1: 485 enodes 3.894 * * [simplify]: iteration 2: 1519 enodes 4.482 * * [simplify]: iteration complete: 5000 enodes 4.482 * * [simplify]: Extracting #0: cost 71 inf + 0 4.484 * * [simplify]: Extracting #1: cost 844 inf + 4 4.489 * * [simplify]: Extracting #2: cost 1706 inf + 3586 4.509 * * [simplify]: Extracting #3: cost 1723 inf + 22192 4.526 * * [simplify]: Extracting #4: cost 1523 inf + 42832 4.539 * * [simplify]: Extracting #5: cost 1461 inf + 54571 4.567 * * [simplify]: Extracting #6: cost 1103 inf + 139078 4.615 * * [simplify]: Extracting #7: cost 773 inf + 247629 4.704 * * [simplify]: Extracting #8: cost 555 inf + 343456 4.820 * * [simplify]: Extracting #9: cost 147 inf + 550510 5.018 * * [simplify]: Extracting #10: cost 3 inf + 625517 5.209 * * [simplify]: Extracting #11: cost 0 inf + 627003 5.424 * [simplify]: Simplified to: (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))) (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))) (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))) (log (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (log (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (log (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (log (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (exp (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (* (* (* -8 J) J) (* (* J (cos (/ K 2))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))))) (* (cbrt (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (cbrt (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))))) (cbrt (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))))) (sqrt (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (sqrt (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (* (* (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) -2)) (* (cos (/ K 2)) J)) (* -2 (* J (* (fabs (cbrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (cos (/ K 2))))) (* (* (* J -2) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (* (* (* J -2) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 1))) (* (sqrt (- 1 (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))))) (* (* J -2) (cos (/ K 2)))) (real->posit16 (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (log (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (exp (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (fabs (cbrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (sqrt (cbrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) 1 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) 1 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 1)) (sqrt (+ (- (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 1)) (sqrt (- 1 (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))))) (sqrt (- 1 (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))))) 1/2 (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) 2 (pow (/ U (* (* (cos (/ K 2)) 2) J)) (* (cbrt 2) (cbrt 2))) (pow (/ U (* (* (cos (/ K 2)) 2) J)) (sqrt 2)) (/ U (* (* (cos (/ K 2)) 2) J)) (* (* (cbrt (/ U (* (* (cos (/ K 2)) 2) J))) (cbrt (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cbrt (/ U (* (* (cos (/ K 2)) 2) J))) (cbrt (/ U (* (* (cos (/ K 2)) 2) J))))) (* (cbrt (/ U (* (* (cos (/ K 2)) 2) J))) (cbrt (/ U (* (* (cos (/ K 2)) 2) J)))) (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)) (* (* (/ (cbrt U) J) (/ (cbrt U) 2)) (* (/ (cbrt U) J) (/ (cbrt U) 2))) (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2)))) (* (/ (/ (sqrt U) 2) J) (/ (/ (sqrt U) 2) J)) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2)))) (* (/ 1/2 J) (/ 1/2 J)) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) 1 (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* U U) (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2)))) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) (exp (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cbrt (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (cbrt (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))))) (cbrt (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (fabs (/ U (* (* (cos (/ K 2)) 2) J))) (fabs (/ U (* (* (cos (/ K 2)) 2) J))) (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)) (real->posit16 (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (log (* (* J -2) (cos (/ K 2)))) (log (* (* J -2) (cos (/ K 2)))) (log (* (* J -2) (cos (/ K 2)))) (exp (* (* J -2) (cos (/ K 2)))) (* (* -8 (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))) (* (cbrt (* (* J -2) (cos (/ K 2)))) (cbrt (* (* J -2) (cos (/ K 2))))) (cbrt (* (* J -2) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))) (sqrt (* (* J -2) (cos (/ K 2)))) (sqrt (* (* J -2) (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) J) (* -2 (cbrt (cos (/ K 2))))) (* (* J -2) (sqrt (cos (/ K 2)))) (* J -2) (* (cos (/ K 2)) J) (real->posit16 (* (* J -2) (cos (/ K 2)))) 0 (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) 1 (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (* (/ U J) (/ U J)) 1/4) (/ (* (* 1/16 K) K) (* (/ J U) (/ J U)))) (* (/ (* U U) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 1/4) (* (/ (* U U) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 1/4) (* J -2) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) 5.442 * * * [progress]: adding candidates to table 6.023 * * [progress]: iteration 2 / 4 6.023 * * * [progress]: picking best candidate 6.069 * * * * [pick]: Picked # 6.069 * * * [progress]: localizing error 6.113 * * * [progress]: generating rewritten candidates 6.113 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.469 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 6.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 6.756 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 2) 6.791 * * * [progress]: generating series expansions 6.792 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.792 * [backup-simplify]: Simplify (* (* -2 J) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (cos (/ K 2)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 6.792 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (J U K) around 0 6.792 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 6.792 * [taylor]: Taking taylor expansion of -2 in K 6.792 * [backup-simplify]: Simplify -2 into -2 6.792 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 6.793 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.793 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.793 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.793 * [taylor]: Taking taylor expansion of 1/2 in K 6.793 * [backup-simplify]: Simplify 1/2 into 1/2 6.793 * [taylor]: Taking taylor expansion of K in K 6.793 * [backup-simplify]: Simplify 0 into 0 6.793 * [backup-simplify]: Simplify 1 into 1 6.794 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.794 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.794 * [taylor]: Taking taylor expansion of J in K 6.794 * [backup-simplify]: Simplify J into J 6.794 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.794 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.794 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.794 * [taylor]: Taking taylor expansion of 1/4 in K 6.794 * [backup-simplify]: Simplify 1/4 into 1/4 6.794 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.795 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.795 * [taylor]: Taking taylor expansion of U in K 6.795 * [backup-simplify]: Simplify U into U 6.795 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.795 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.795 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.795 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.795 * [taylor]: Taking taylor expansion of 1/2 in K 6.795 * [backup-simplify]: Simplify 1/2 into 1/2 6.795 * [taylor]: Taking taylor expansion of K in K 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 1 into 1 6.795 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.796 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.796 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.796 * [taylor]: Taking taylor expansion of J in K 6.796 * [backup-simplify]: Simplify J into J 6.796 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.797 * [backup-simplify]: Simplify (* 1 1) into 1 6.797 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.797 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.797 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.797 * [taylor]: Taking taylor expansion of 1 in K 6.797 * [backup-simplify]: Simplify 1 into 1 6.797 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.798 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.798 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.798 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.798 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.799 * [backup-simplify]: Simplify (+ 0) into 0 6.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.800 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 6.801 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 6.801 * [backup-simplify]: Simplify (+ 0 0) into 0 6.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.802 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.802 * [taylor]: Taking taylor expansion of -2 in U 6.802 * [backup-simplify]: Simplify -2 into -2 6.802 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.802 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 6.802 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.802 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.802 * [taylor]: Taking taylor expansion of 1/2 in U 6.802 * [backup-simplify]: Simplify 1/2 into 1/2 6.802 * [taylor]: Taking taylor expansion of K in U 6.802 * [backup-simplify]: Simplify K into K 6.802 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.802 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.802 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.802 * [taylor]: Taking taylor expansion of J in U 6.802 * [backup-simplify]: Simplify J into J 6.802 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.803 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.803 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.803 * [taylor]: Taking taylor expansion of 1/4 in U 6.803 * [backup-simplify]: Simplify 1/4 into 1/4 6.803 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.803 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.803 * [taylor]: Taking taylor expansion of U in U 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.803 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.803 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.803 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.803 * [taylor]: Taking taylor expansion of 1/2 in U 6.803 * [backup-simplify]: Simplify 1/2 into 1/2 6.803 * [taylor]: Taking taylor expansion of K in U 6.803 * [backup-simplify]: Simplify K into K 6.803 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.803 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.803 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.803 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.803 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.804 * [backup-simplify]: Simplify (- 0) into 0 6.804 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.804 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.804 * [taylor]: Taking taylor expansion of J in U 6.804 * [backup-simplify]: Simplify J into J 6.805 * [backup-simplify]: Simplify (* 1 1) into 1 6.805 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.805 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.805 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.805 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.805 * [taylor]: Taking taylor expansion of 1 in U 6.805 * [backup-simplify]: Simplify 1 into 1 6.806 * [backup-simplify]: Simplify (+ 0 1) into 1 6.806 * [backup-simplify]: Simplify (sqrt 1) into 1 6.806 * [backup-simplify]: Simplify (+ 0 0) into 0 6.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.807 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.807 * [taylor]: Taking taylor expansion of -2 in J 6.807 * [backup-simplify]: Simplify -2 into -2 6.807 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.807 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.807 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.807 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.807 * [taylor]: Taking taylor expansion of 1/2 in J 6.807 * [backup-simplify]: Simplify 1/2 into 1/2 6.807 * [taylor]: Taking taylor expansion of K in J 6.807 * [backup-simplify]: Simplify K into K 6.808 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.808 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.808 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.808 * [taylor]: Taking taylor expansion of J in J 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify 1 into 1 6.808 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.808 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.808 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.808 * [taylor]: Taking taylor expansion of 1/4 in J 6.808 * [backup-simplify]: Simplify 1/4 into 1/4 6.808 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.808 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.808 * [taylor]: Taking taylor expansion of U in J 6.808 * [backup-simplify]: Simplify U into U 6.808 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.808 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.808 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.808 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.808 * [taylor]: Taking taylor expansion of 1/2 in J 6.808 * [backup-simplify]: Simplify 1/2 into 1/2 6.808 * [taylor]: Taking taylor expansion of K in J 6.808 * [backup-simplify]: Simplify K into K 6.808 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.808 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.808 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.809 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.809 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.809 * [backup-simplify]: Simplify (- 0) into 0 6.809 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.809 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.809 * [taylor]: Taking taylor expansion of J in J 6.809 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify 1 into 1 6.809 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.809 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.810 * [backup-simplify]: Simplify (* 1 1) into 1 6.810 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.810 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.810 * [taylor]: Taking taylor expansion of 1 in J 6.810 * [backup-simplify]: Simplify 1 into 1 6.810 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.811 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.811 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.811 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.812 * [backup-simplify]: Simplify (+ 0) into 0 6.813 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.814 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.815 * [backup-simplify]: Simplify (- 0) into 0 6.815 * [backup-simplify]: Simplify (+ 0 0) into 0 6.815 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.816 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.816 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.817 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.818 * [backup-simplify]: Simplify (+ 0 0) into 0 6.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.818 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.818 * [taylor]: Taking taylor expansion of -2 in J 6.818 * [backup-simplify]: Simplify -2 into -2 6.818 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.818 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.818 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.818 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.818 * [taylor]: Taking taylor expansion of 1/2 in J 6.818 * [backup-simplify]: Simplify 1/2 into 1/2 6.818 * [taylor]: Taking taylor expansion of K in J 6.818 * [backup-simplify]: Simplify K into K 6.818 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.819 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.819 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.819 * [taylor]: Taking taylor expansion of J in J 6.819 * [backup-simplify]: Simplify 0 into 0 6.819 * [backup-simplify]: Simplify 1 into 1 6.819 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.819 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.819 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.819 * [taylor]: Taking taylor expansion of 1/4 in J 6.819 * [backup-simplify]: Simplify 1/4 into 1/4 6.819 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.819 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.819 * [taylor]: Taking taylor expansion of U in J 6.819 * [backup-simplify]: Simplify U into U 6.819 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.819 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.819 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.819 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.819 * [taylor]: Taking taylor expansion of 1/2 in J 6.819 * [backup-simplify]: Simplify 1/2 into 1/2 6.819 * [taylor]: Taking taylor expansion of K in J 6.819 * [backup-simplify]: Simplify K into K 6.819 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.819 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.819 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.820 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.820 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.820 * [backup-simplify]: Simplify (- 0) into 0 6.820 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.820 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.820 * [taylor]: Taking taylor expansion of J in J 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 1 into 1 6.821 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.821 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.821 * [backup-simplify]: Simplify (* 1 1) into 1 6.821 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.821 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.821 * [taylor]: Taking taylor expansion of 1 in J 6.821 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.822 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.822 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.822 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.823 * [backup-simplify]: Simplify (+ 0) into 0 6.824 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.825 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.826 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.826 * [backup-simplify]: Simplify (- 0) into 0 6.827 * [backup-simplify]: Simplify (+ 0 0) into 0 6.827 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.827 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.828 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.828 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.829 * [backup-simplify]: Simplify (+ 0 0) into 0 6.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.829 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.829 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.830 * [backup-simplify]: Simplify (- 0) into 0 6.830 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.830 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 6.830 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 6.831 * [backup-simplify]: Simplify (* -2 0) into 0 6.831 * [taylor]: Taking taylor expansion of 0 in U 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [taylor]: Taking taylor expansion of 0 in K 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify (+ 0) into 0 6.832 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.833 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.833 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.834 * [backup-simplify]: Simplify (- 0) into 0 6.834 * [backup-simplify]: Simplify (+ 0 0) into 0 6.835 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.835 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 6.836 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 6.836 * [taylor]: Taking taylor expansion of (- U) in U 6.836 * [taylor]: Taking taylor expansion of U in U 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify 1 into 1 6.836 * [backup-simplify]: Simplify (- 0) into 0 6.836 * [taylor]: Taking taylor expansion of 0 in K 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [taylor]: Taking taylor expansion of 0 in K 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify 0 into 0 6.837 * [backup-simplify]: Simplify 0 into 0 6.837 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 6.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.839 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.840 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.841 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.842 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.842 * [backup-simplify]: Simplify (- 0) into 0 6.843 * [backup-simplify]: Simplify (+ 0 0) into 0 6.843 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.844 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.845 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.846 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 6.846 * [backup-simplify]: Simplify (+ 0 1) into 1 6.847 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 6.848 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.848 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.850 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.851 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.851 * [backup-simplify]: Simplify (- 0) into 0 6.851 * [backup-simplify]: Simplify (+ 0 0) into 0 6.852 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.852 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 6.853 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 6.853 * [taylor]: Taking taylor expansion of 0 in U 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [taylor]: Taking taylor expansion of 0 in K 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify (- 1) into -1 6.854 * [taylor]: Taking taylor expansion of -1 in K 6.854 * [backup-simplify]: Simplify -1 into -1 6.854 * [backup-simplify]: Simplify -1 into -1 6.854 * [taylor]: Taking taylor expansion of 0 in K 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0 6.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.857 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.858 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.861 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.862 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.862 * [backup-simplify]: Simplify (- 0) into 0 6.863 * [backup-simplify]: Simplify (+ 0 0) into 0 6.864 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 6.864 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.865 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.866 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.867 * [backup-simplify]: Simplify (+ 0 0) into 0 6.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (* 1/2 K)) U))))) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 6.868 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.869 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.873 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.873 * [backup-simplify]: Simplify (- 0) into 0 6.874 * [backup-simplify]: Simplify (+ 0 0) into 0 6.874 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (cos (* 1/2 K)) (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))))) into (/ (pow (cos (* 1/2 K)) 2) U) 6.876 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (+ (* 0 0) (+ (* 0 (* 1/2 U)) (* 0 0)))) into (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U))) 6.876 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U))) in U 6.876 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) in U 6.876 * [taylor]: Taking taylor expansion of 2 in U 6.876 * [backup-simplify]: Simplify 2 into 2 6.876 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 K)) 2) U) in U 6.876 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.876 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.876 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.876 * [taylor]: Taking taylor expansion of 1/2 in U 6.876 * [backup-simplify]: Simplify 1/2 into 1/2 6.876 * [taylor]: Taking taylor expansion of K in U 6.876 * [backup-simplify]: Simplify K into K 6.876 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.876 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.876 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.876 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.876 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.876 * [backup-simplify]: Simplify (- 0) into 0 6.876 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.876 * [taylor]: Taking taylor expansion of U in U 6.876 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify 1 into 1 6.876 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.877 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.877 * [backup-simplify]: Simplify (+ 0) into 0 6.877 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.878 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.878 * [backup-simplify]: Simplify (- 0) into 0 6.879 * [backup-simplify]: Simplify (+ 0 0) into 0 6.879 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 K)) 2) (/ 0 1)))) into 0 6.880 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0 6.880 * [backup-simplify]: Simplify (- 0) into 0 6.880 * [taylor]: Taking taylor expansion of 0 in K 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [taylor]: Taking taylor expansion of 0 in K 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify (* -1 (* 1 (* U 1))) into (* -1 U) 6.880 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (* (sqrt (+ (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) 2) (/ 1 J))) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) 2) (/ 1 J)))) 1)) (cos (/ (/ 1 K) 2)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 6.881 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (J U K) around 0 6.881 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 6.881 * [taylor]: Taking taylor expansion of -2 in K 6.881 * [backup-simplify]: Simplify -2 into -2 6.881 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 6.881 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.881 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.881 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.881 * [taylor]: Taking taylor expansion of 1/4 in K 6.881 * [backup-simplify]: Simplify 1/4 into 1/4 6.881 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.881 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.881 * [taylor]: Taking taylor expansion of J in K 6.881 * [backup-simplify]: Simplify J into J 6.881 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.881 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.881 * [taylor]: Taking taylor expansion of U in K 6.881 * [backup-simplify]: Simplify U into U 6.881 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.881 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.881 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.881 * [taylor]: Taking taylor expansion of 1/2 in K 6.881 * [backup-simplify]: Simplify 1/2 into 1/2 6.881 * [taylor]: Taking taylor expansion of K in K 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 1 into 1 6.881 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.881 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.881 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.881 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.882 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.882 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.882 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.882 * [taylor]: Taking taylor expansion of 1 in K 6.882 * [backup-simplify]: Simplify 1 into 1 6.882 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.882 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 6.882 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.882 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.883 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.883 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.883 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.884 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.884 * [backup-simplify]: Simplify (+ 0 0) into 0 6.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.884 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.884 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.884 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.884 * [taylor]: Taking taylor expansion of 1/2 in K 6.884 * [backup-simplify]: Simplify 1/2 into 1/2 6.884 * [taylor]: Taking taylor expansion of K in K 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 1 into 1 6.884 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.885 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.885 * [taylor]: Taking taylor expansion of J in K 6.885 * [backup-simplify]: Simplify J into J 6.885 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.885 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 6.885 * [taylor]: Taking taylor expansion of -2 in U 6.885 * [backup-simplify]: Simplify -2 into -2 6.885 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 6.885 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.885 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.885 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.885 * [taylor]: Taking taylor expansion of 1/4 in U 6.885 * [backup-simplify]: Simplify 1/4 into 1/4 6.885 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.885 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.885 * [taylor]: Taking taylor expansion of J in U 6.885 * [backup-simplify]: Simplify J into J 6.885 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.885 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.885 * [taylor]: Taking taylor expansion of U in U 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 1 into 1 6.885 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.885 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.885 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.885 * [taylor]: Taking taylor expansion of 1/2 in U 6.885 * [backup-simplify]: Simplify 1/2 into 1/2 6.885 * [taylor]: Taking taylor expansion of K in U 6.885 * [backup-simplify]: Simplify K into K 6.885 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.885 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.885 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.885 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.885 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.885 * [backup-simplify]: Simplify (- 0) into 0 6.886 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.886 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.886 * [backup-simplify]: Simplify (* 1 1) into 1 6.886 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.886 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.886 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.886 * [taylor]: Taking taylor expansion of 1 in U 6.886 * [backup-simplify]: Simplify 1 into 1 6.886 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.886 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.887 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.887 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.887 * [backup-simplify]: Simplify (+ 0) into 0 6.887 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.887 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.888 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.888 * [backup-simplify]: Simplify (- 0) into 0 6.888 * [backup-simplify]: Simplify (+ 0 0) into 0 6.889 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.889 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.890 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.890 * [backup-simplify]: Simplify (+ 0 0) into 0 6.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.890 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 6.890 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.890 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.890 * [taylor]: Taking taylor expansion of 1/2 in U 6.890 * [backup-simplify]: Simplify 1/2 into 1/2 6.890 * [taylor]: Taking taylor expansion of K in U 6.890 * [backup-simplify]: Simplify K into K 6.890 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.890 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.890 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.890 * [taylor]: Taking taylor expansion of J in U 6.890 * [backup-simplify]: Simplify J into J 6.891 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.891 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.891 * [backup-simplify]: Simplify (- 0) into 0 6.891 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.891 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.891 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 6.891 * [taylor]: Taking taylor expansion of -2 in J 6.891 * [backup-simplify]: Simplify -2 into -2 6.891 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 6.891 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.891 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.891 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.891 * [taylor]: Taking taylor expansion of 1/4 in J 6.891 * [backup-simplify]: Simplify 1/4 into 1/4 6.891 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.891 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.891 * [taylor]: Taking taylor expansion of J in J 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify 1 into 1 6.891 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.891 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.891 * [taylor]: Taking taylor expansion of U in J 6.891 * [backup-simplify]: Simplify U into U 6.891 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.891 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.891 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.891 * [taylor]: Taking taylor expansion of 1/2 in J 6.891 * [backup-simplify]: Simplify 1/2 into 1/2 6.891 * [taylor]: Taking taylor expansion of K in J 6.891 * [backup-simplify]: Simplify K into K 6.891 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.891 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.891 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.892 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.892 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.892 * [backup-simplify]: Simplify (- 0) into 0 6.892 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.892 * [backup-simplify]: Simplify (* 1 1) into 1 6.892 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.892 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.892 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.892 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.892 * [taylor]: Taking taylor expansion of 1 in J 6.892 * [backup-simplify]: Simplify 1 into 1 6.893 * [backup-simplify]: Simplify (+ 0 1) into 1 6.893 * [backup-simplify]: Simplify (sqrt 1) into 1 6.893 * [backup-simplify]: Simplify (+ 0 0) into 0 6.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.894 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.894 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.894 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.894 * [taylor]: Taking taylor expansion of 1/2 in J 6.894 * [backup-simplify]: Simplify 1/2 into 1/2 6.894 * [taylor]: Taking taylor expansion of K in J 6.894 * [backup-simplify]: Simplify K into K 6.894 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.894 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.894 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.894 * [taylor]: Taking taylor expansion of J in J 6.894 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify 1 into 1 6.894 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.894 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.894 * [backup-simplify]: Simplify (- 0) into 0 6.894 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.894 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.894 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 6.894 * [taylor]: Taking taylor expansion of -2 in J 6.894 * [backup-simplify]: Simplify -2 into -2 6.894 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 6.895 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.895 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.895 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.895 * [taylor]: Taking taylor expansion of 1/4 in J 6.895 * [backup-simplify]: Simplify 1/4 into 1/4 6.895 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.895 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.895 * [taylor]: Taking taylor expansion of J in J 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.895 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.895 * [taylor]: Taking taylor expansion of U in J 6.895 * [backup-simplify]: Simplify U into U 6.895 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.895 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.895 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.895 * [taylor]: Taking taylor expansion of 1/2 in J 6.895 * [backup-simplify]: Simplify 1/2 into 1/2 6.895 * [taylor]: Taking taylor expansion of K in J 6.895 * [backup-simplify]: Simplify K into K 6.895 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.895 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.895 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.895 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.895 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.895 * [backup-simplify]: Simplify (- 0) into 0 6.895 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.896 * [backup-simplify]: Simplify (* 1 1) into 1 6.896 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.896 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.896 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.896 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.896 * [taylor]: Taking taylor expansion of 1 in J 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [backup-simplify]: Simplify (+ 0 1) into 1 6.896 * [backup-simplify]: Simplify (sqrt 1) into 1 6.897 * [backup-simplify]: Simplify (+ 0 0) into 0 6.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.897 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.897 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.897 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.897 * [taylor]: Taking taylor expansion of 1/2 in J 6.897 * [backup-simplify]: Simplify 1/2 into 1/2 6.897 * [taylor]: Taking taylor expansion of K in J 6.897 * [backup-simplify]: Simplify K into K 6.897 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.897 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.897 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.897 * [taylor]: Taking taylor expansion of J in J 6.898 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify 1 into 1 6.898 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.898 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.898 * [backup-simplify]: Simplify (- 0) into 0 6.898 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.898 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.898 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 6.898 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.898 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 6.898 * [taylor]: Taking taylor expansion of -2 in U 6.898 * [backup-simplify]: Simplify -2 into -2 6.898 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.898 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.898 * [taylor]: Taking taylor expansion of 1/2 in U 6.898 * [backup-simplify]: Simplify 1/2 into 1/2 6.898 * [taylor]: Taking taylor expansion of K in U 6.898 * [backup-simplify]: Simplify K into K 6.898 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.898 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.898 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.899 * [backup-simplify]: Simplify (+ 0) into 0 6.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.900 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.900 * [backup-simplify]: Simplify (- 0) into 0 6.900 * [backup-simplify]: Simplify (+ 0 0) into 0 6.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 6.901 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.901 * [taylor]: Taking taylor expansion of 0 in U 6.901 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.902 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.902 * [backup-simplify]: Simplify (- 0) into 0 6.902 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.902 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.902 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 6.902 * [taylor]: Taking taylor expansion of -2 in K 6.902 * [backup-simplify]: Simplify -2 into -2 6.902 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.902 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.902 * [taylor]: Taking taylor expansion of 1/2 in K 6.902 * [backup-simplify]: Simplify 1/2 into 1/2 6.902 * [taylor]: Taking taylor expansion of K in K 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.903 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.903 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.903 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.903 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.903 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.904 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.904 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.904 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.905 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.905 * [backup-simplify]: Simplify (- 0) into 0 6.905 * [backup-simplify]: Simplify (+ 0 0) into 0 6.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.906 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.907 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 6.908 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 6.908 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 6.908 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 6.908 * [taylor]: Taking taylor expansion of 1/4 in U 6.908 * [backup-simplify]: Simplify 1/4 into 1/4 6.908 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 6.908 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 6.908 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.908 * [taylor]: Taking taylor expansion of U in U 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.908 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.908 * [taylor]: Taking taylor expansion of 1/2 in U 6.908 * [backup-simplify]: Simplify 1/2 into 1/2 6.908 * [taylor]: Taking taylor expansion of K in U 6.908 * [backup-simplify]: Simplify K into K 6.908 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.909 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.909 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.909 * [backup-simplify]: Simplify (* 1 1) into 1 6.909 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.909 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.915 * [backup-simplify]: Simplify (- 0) into 0 6.915 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.915 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 6.915 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.916 * [backup-simplify]: Simplify (+ 0) into 0 6.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.918 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.918 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.919 * [backup-simplify]: Simplify (- 0) into 0 6.919 * [backup-simplify]: Simplify (+ 0 0) into 0 6.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 6.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.921 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.922 * [backup-simplify]: Simplify (- 0) into 0 6.922 * [taylor]: Taking taylor expansion of 0 in K 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [taylor]: Taking taylor expansion of 0 in K 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify (+ 0) into 0 6.923 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.925 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.925 * [backup-simplify]: Simplify (- 0) into 0 6.925 * [backup-simplify]: Simplify (+ 0 0) into 0 6.926 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.926 * [taylor]: Taking taylor expansion of 0 in K 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.926 * [backup-simplify]: Simplify 0 into 0 6.927 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.928 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.931 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.931 * [backup-simplify]: Simplify (- 0) into 0 6.931 * [backup-simplify]: Simplify (+ 0 0) into 0 6.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.934 * [backup-simplify]: Simplify (+ 0) into 0 6.935 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.935 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.936 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.936 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.937 * [backup-simplify]: Simplify (- 0) into 0 6.937 * [backup-simplify]: Simplify (+ 0 0) into 0 6.937 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.937 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.938 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.938 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.939 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.939 * [backup-simplify]: Simplify (+ 0 0) into 0 6.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 6.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.942 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.942 * [taylor]: Taking taylor expansion of 0 in U 6.942 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.944 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.945 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.946 * [backup-simplify]: Simplify (- 0) into 0 6.946 * [backup-simplify]: Simplify (+ 0 0) into 0 6.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 6.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 6.949 * [backup-simplify]: Simplify (- 0) into 0 6.949 * [taylor]: Taking taylor expansion of 0 in K 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [taylor]: Taking taylor expansion of 0 in K 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 6.950 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) 2) (/ 1 (- J)))) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) 2) (/ 1 (- J))))) 1)) (cos (/ (/ 1 (- K)) 2)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 6.950 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J U K) around 0 6.950 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 6.950 * [taylor]: Taking taylor expansion of 2 in K 6.950 * [backup-simplify]: Simplify 2 into 2 6.951 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 6.951 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.951 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.951 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.951 * [taylor]: Taking taylor expansion of -1/2 in K 6.951 * [backup-simplify]: Simplify -1/2 into -1/2 6.951 * [taylor]: Taking taylor expansion of K in K 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 1 into 1 6.951 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.951 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.951 * [taylor]: Taking taylor expansion of J in K 6.951 * [backup-simplify]: Simplify J into J 6.952 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.952 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.952 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.952 * [taylor]: Taking taylor expansion of 1 in K 6.952 * [backup-simplify]: Simplify 1 into 1 6.952 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.952 * [taylor]: Taking taylor expansion of 1/4 in K 6.952 * [backup-simplify]: Simplify 1/4 into 1/4 6.952 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.952 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.952 * [taylor]: Taking taylor expansion of J in K 6.952 * [backup-simplify]: Simplify J into J 6.952 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.952 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.952 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.952 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.952 * [taylor]: Taking taylor expansion of -1/2 in K 6.952 * [backup-simplify]: Simplify -1/2 into -1/2 6.952 * [taylor]: Taking taylor expansion of K in K 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.953 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.953 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.953 * [taylor]: Taking taylor expansion of U in K 6.953 * [backup-simplify]: Simplify U into U 6.953 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.954 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.954 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.954 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.954 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.954 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.954 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 6.955 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.955 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.955 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.955 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.955 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.955 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 6.956 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.956 * [backup-simplify]: Simplify (+ 0 0) into 0 6.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.956 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.956 * [taylor]: Taking taylor expansion of 2 in U 6.956 * [backup-simplify]: Simplify 2 into 2 6.957 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.957 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 6.957 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.957 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.957 * [taylor]: Taking taylor expansion of -1/2 in U 6.957 * [backup-simplify]: Simplify -1/2 into -1/2 6.957 * [taylor]: Taking taylor expansion of K in U 6.957 * [backup-simplify]: Simplify K into K 6.957 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.957 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.957 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.957 * [taylor]: Taking taylor expansion of J in U 6.957 * [backup-simplify]: Simplify J into J 6.957 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.957 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.957 * [backup-simplify]: Simplify (- 0) into 0 6.957 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.957 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.957 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.957 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.957 * [taylor]: Taking taylor expansion of 1 in U 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.957 * [taylor]: Taking taylor expansion of 1/4 in U 6.957 * [backup-simplify]: Simplify 1/4 into 1/4 6.957 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.957 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.957 * [taylor]: Taking taylor expansion of J in U 6.957 * [backup-simplify]: Simplify J into J 6.957 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.957 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.957 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.958 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.958 * [taylor]: Taking taylor expansion of -1/2 in U 6.958 * [backup-simplify]: Simplify -1/2 into -1/2 6.958 * [taylor]: Taking taylor expansion of K in U 6.958 * [backup-simplify]: Simplify K into K 6.958 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.958 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.958 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.958 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.958 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.958 * [backup-simplify]: Simplify (- 0) into 0 6.958 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.958 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.958 * [taylor]: Taking taylor expansion of U in U 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 1 into 1 6.958 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.958 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.959 * [backup-simplify]: Simplify (* 1 1) into 1 6.959 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.959 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.959 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.959 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.959 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.959 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.960 * [backup-simplify]: Simplify (+ 0) into 0 6.960 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.960 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.961 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.961 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.961 * [backup-simplify]: Simplify (- 0) into 0 6.962 * [backup-simplify]: Simplify (+ 0 0) into 0 6.962 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.962 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.962 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.963 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.963 * [backup-simplify]: Simplify (+ 0 0) into 0 6.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.963 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.963 * [taylor]: Taking taylor expansion of 2 in J 6.963 * [backup-simplify]: Simplify 2 into 2 6.963 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.963 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.963 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.963 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.963 * [taylor]: Taking taylor expansion of -1/2 in J 6.963 * [backup-simplify]: Simplify -1/2 into -1/2 6.963 * [taylor]: Taking taylor expansion of K in J 6.963 * [backup-simplify]: Simplify K into K 6.963 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.963 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.963 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.963 * [taylor]: Taking taylor expansion of J in J 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.964 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.964 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.964 * [backup-simplify]: Simplify (- 0) into 0 6.964 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.964 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.964 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.964 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.964 * [taylor]: Taking taylor expansion of 1 in J 6.964 * [backup-simplify]: Simplify 1 into 1 6.964 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.964 * [taylor]: Taking taylor expansion of 1/4 in J 6.964 * [backup-simplify]: Simplify 1/4 into 1/4 6.964 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.964 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.964 * [taylor]: Taking taylor expansion of J in J 6.964 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify 1 into 1 6.964 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.964 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.964 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.964 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.964 * [taylor]: Taking taylor expansion of -1/2 in J 6.964 * [backup-simplify]: Simplify -1/2 into -1/2 6.964 * [taylor]: Taking taylor expansion of K in J 6.964 * [backup-simplify]: Simplify K into K 6.964 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.964 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.964 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.964 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.964 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.965 * [backup-simplify]: Simplify (- 0) into 0 6.965 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.965 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.965 * [taylor]: Taking taylor expansion of U in J 6.965 * [backup-simplify]: Simplify U into U 6.965 * [backup-simplify]: Simplify (* 1 1) into 1 6.965 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.965 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.965 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.965 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.966 * [backup-simplify]: Simplify (+ 1 0) into 1 6.966 * [backup-simplify]: Simplify (sqrt 1) into 1 6.966 * [backup-simplify]: Simplify (+ 0 0) into 0 6.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.967 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.967 * [taylor]: Taking taylor expansion of 2 in J 6.967 * [backup-simplify]: Simplify 2 into 2 6.967 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.967 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.967 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.967 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.967 * [taylor]: Taking taylor expansion of -1/2 in J 6.967 * [backup-simplify]: Simplify -1/2 into -1/2 6.967 * [taylor]: Taking taylor expansion of K in J 6.967 * [backup-simplify]: Simplify K into K 6.967 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.967 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.967 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.967 * [taylor]: Taking taylor expansion of J in J 6.967 * [backup-simplify]: Simplify 0 into 0 6.967 * [backup-simplify]: Simplify 1 into 1 6.967 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.967 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.967 * [backup-simplify]: Simplify (- 0) into 0 6.967 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.968 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.968 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.968 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.968 * [taylor]: Taking taylor expansion of 1 in J 6.968 * [backup-simplify]: Simplify 1 into 1 6.968 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.968 * [taylor]: Taking taylor expansion of 1/4 in J 6.968 * [backup-simplify]: Simplify 1/4 into 1/4 6.968 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.968 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.968 * [taylor]: Taking taylor expansion of J in J 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 1 into 1 6.968 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.968 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.968 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.968 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.968 * [taylor]: Taking taylor expansion of -1/2 in J 6.968 * [backup-simplify]: Simplify -1/2 into -1/2 6.968 * [taylor]: Taking taylor expansion of K in J 6.968 * [backup-simplify]: Simplify K into K 6.968 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.968 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.968 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.968 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.968 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.969 * [backup-simplify]: Simplify (- 0) into 0 6.969 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.969 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.969 * [taylor]: Taking taylor expansion of U in J 6.969 * [backup-simplify]: Simplify U into U 6.969 * [backup-simplify]: Simplify (* 1 1) into 1 6.969 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.969 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.969 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.969 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.970 * [backup-simplify]: Simplify (+ 1 0) into 1 6.970 * [backup-simplify]: Simplify (sqrt 1) into 1 6.970 * [backup-simplify]: Simplify (+ 0 0) into 0 6.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.971 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.971 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.971 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 6.971 * [taylor]: Taking taylor expansion of 2 in U 6.971 * [backup-simplify]: Simplify 2 into 2 6.971 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.971 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.971 * [taylor]: Taking taylor expansion of -1/2 in U 6.971 * [backup-simplify]: Simplify -1/2 into -1/2 6.971 * [taylor]: Taking taylor expansion of K in U 6.971 * [backup-simplify]: Simplify K into K 6.971 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.971 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.971 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.972 * [backup-simplify]: Simplify (+ 0) into 0 6.972 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.972 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.973 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.973 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.973 * [backup-simplify]: Simplify (- 0) into 0 6.973 * [backup-simplify]: Simplify (+ 0 0) into 0 6.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.975 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.975 * [taylor]: Taking taylor expansion of 0 in U 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.975 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.975 * [backup-simplify]: Simplify (- 0) into 0 6.975 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.975 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.975 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 6.975 * [taylor]: Taking taylor expansion of 2 in K 6.975 * [backup-simplify]: Simplify 2 into 2 6.975 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.975 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.975 * [taylor]: Taking taylor expansion of -1/2 in K 6.975 * [backup-simplify]: Simplify -1/2 into -1/2 6.975 * [taylor]: Taking taylor expansion of K in K 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 1 into 1 6.975 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.976 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.976 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.976 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.976 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.976 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.977 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.978 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.979 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.979 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.979 * [backup-simplify]: Simplify (- 0) into 0 6.979 * [backup-simplify]: Simplify (+ 0 0) into 0 6.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.981 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 6.981 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 6.981 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in U 6.981 * [taylor]: Taking taylor expansion of 1/4 in U 6.981 * [backup-simplify]: Simplify 1/4 into 1/4 6.981 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in U 6.981 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 6.981 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.981 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.981 * [taylor]: Taking taylor expansion of -1/2 in U 6.981 * [backup-simplify]: Simplify -1/2 into -1/2 6.981 * [taylor]: Taking taylor expansion of K in U 6.981 * [backup-simplify]: Simplify K into K 6.982 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.982 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.982 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.982 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.982 * [taylor]: Taking taylor expansion of U in U 6.982 * [backup-simplify]: Simplify 0 into 0 6.982 * [backup-simplify]: Simplify 1 into 1 6.982 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.982 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.982 * [backup-simplify]: Simplify (- 0) into 0 6.982 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.982 * [backup-simplify]: Simplify (* 1 1) into 1 6.982 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.982 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.983 * [backup-simplify]: Simplify (+ 0) into 0 6.983 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.983 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.984 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.984 * [backup-simplify]: Simplify (- 0) into 0 6.985 * [backup-simplify]: Simplify (+ 0 0) into 0 6.985 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.985 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.985 * [taylor]: Taking taylor expansion of 0 in K 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [taylor]: Taking taylor expansion of 0 in K 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify (+ 0) into 0 6.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.986 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.987 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.988 * [backup-simplify]: Simplify (- 0) into 0 6.988 * [backup-simplify]: Simplify (+ 0 0) into 0 6.989 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.989 * [taylor]: Taking taylor expansion of 0 in K 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 0 into 0 6.990 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.990 * [backup-simplify]: Simplify 0 into 0 6.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.991 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.991 * [backup-simplify]: Simplify (+ 0) into 0 6.992 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.992 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.993 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.993 * [backup-simplify]: Simplify (- 0) into 0 6.994 * [backup-simplify]: Simplify (+ 0 0) into 0 6.994 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.994 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.995 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 6.996 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.996 * [backup-simplify]: Simplify (+ 0 0) into 0 6.997 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 6.998 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.999 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.001 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.002 * [backup-simplify]: Simplify (- 0) into 0 7.002 * [backup-simplify]: Simplify (+ 0 0) into 0 7.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 7.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 7.006 * [taylor]: Taking taylor expansion of 0 in U 7.007 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.008 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.009 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.010 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.011 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.011 * [backup-simplify]: Simplify (- 0) into 0 7.012 * [backup-simplify]: Simplify (+ 0 0) into 0 7.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 7.014 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 7.014 * [taylor]: Taking taylor expansion of 0 in K 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [taylor]: Taking taylor expansion of 0 in K 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 7.014 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 7.015 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 7.015 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 7.015 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 7.015 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 7.015 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 7.015 * [taylor]: Taking taylor expansion of 1/4 in J 7.015 * [backup-simplify]: Simplify 1/4 into 1/4 7.015 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.015 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.015 * [taylor]: Taking taylor expansion of U in J 7.015 * [backup-simplify]: Simplify U into U 7.015 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.015 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.015 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.015 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.015 * [taylor]: Taking taylor expansion of 1/2 in J 7.015 * [backup-simplify]: Simplify 1/2 into 1/2 7.015 * [taylor]: Taking taylor expansion of K in J 7.015 * [backup-simplify]: Simplify K into K 7.015 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.016 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.016 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.016 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.016 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.016 * [backup-simplify]: Simplify (- 0) into 0 7.016 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.016 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.016 * [taylor]: Taking taylor expansion of J in J 7.016 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify 1 into 1 7.017 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.017 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.017 * [backup-simplify]: Simplify (* 1 1) into 1 7.017 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.017 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 7.017 * [taylor]: Taking taylor expansion of 1 in J 7.017 * [backup-simplify]: Simplify 1 into 1 7.018 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 7.018 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 7.018 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.018 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.019 * [backup-simplify]: Simplify (+ 0) into 0 7.020 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.022 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.022 * [backup-simplify]: Simplify (- 0) into 0 7.022 * [backup-simplify]: Simplify (+ 0 0) into 0 7.023 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.023 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 7.023 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 7.024 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 7.025 * [backup-simplify]: Simplify (+ 0 0) into 0 7.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 7.025 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 7.025 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 7.025 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 7.025 * [taylor]: Taking taylor expansion of 1/4 in K 7.025 * [backup-simplify]: Simplify 1/4 into 1/4 7.025 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.025 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.025 * [taylor]: Taking taylor expansion of U in K 7.025 * [backup-simplify]: Simplify U into U 7.025 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.025 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.025 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.025 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.025 * [taylor]: Taking taylor expansion of 1/2 in K 7.025 * [backup-simplify]: Simplify 1/2 into 1/2 7.025 * [taylor]: Taking taylor expansion of K in K 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [backup-simplify]: Simplify 1 into 1 7.026 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.027 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.027 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.027 * [taylor]: Taking taylor expansion of J in K 7.027 * [backup-simplify]: Simplify J into J 7.027 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.027 * [backup-simplify]: Simplify (* 1 1) into 1 7.027 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.027 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.028 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 7.028 * [taylor]: Taking taylor expansion of 1 in K 7.028 * [backup-simplify]: Simplify 1 into 1 7.028 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 7.028 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 7.028 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 7.028 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.029 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.029 * [backup-simplify]: Simplify (+ 0) into 0 7.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 7.030 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 7.031 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 7.031 * [backup-simplify]: Simplify (+ 0 0) into 0 7.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 7.031 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.031 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.031 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.031 * [taylor]: Taking taylor expansion of 1/4 in U 7.031 * [backup-simplify]: Simplify 1/4 into 1/4 7.031 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.031 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.031 * [taylor]: Taking taylor expansion of U in U 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 1 into 1 7.031 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.031 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.031 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.031 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.032 * [taylor]: Taking taylor expansion of 1/2 in U 7.032 * [backup-simplify]: Simplify 1/2 into 1/2 7.032 * [taylor]: Taking taylor expansion of K in U 7.032 * [backup-simplify]: Simplify K into K 7.032 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.032 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.032 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.032 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.032 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.032 * [backup-simplify]: Simplify (- 0) into 0 7.032 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.032 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.032 * [taylor]: Taking taylor expansion of J in U 7.032 * [backup-simplify]: Simplify J into J 7.032 * [backup-simplify]: Simplify (* 1 1) into 1 7.032 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.033 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.033 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.033 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.033 * [taylor]: Taking taylor expansion of 1 in U 7.033 * [backup-simplify]: Simplify 1 into 1 7.033 * [backup-simplify]: Simplify (+ 0 1) into 1 7.033 * [backup-simplify]: Simplify (sqrt 1) into 1 7.034 * [backup-simplify]: Simplify (+ 0 0) into 0 7.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.034 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.034 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.034 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.034 * [taylor]: Taking taylor expansion of 1/4 in U 7.034 * [backup-simplify]: Simplify 1/4 into 1/4 7.034 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.034 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.034 * [taylor]: Taking taylor expansion of U in U 7.034 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify 1 into 1 7.034 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.034 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.034 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.034 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.034 * [taylor]: Taking taylor expansion of 1/2 in U 7.034 * [backup-simplify]: Simplify 1/2 into 1/2 7.034 * [taylor]: Taking taylor expansion of K in U 7.034 * [backup-simplify]: Simplify K into K 7.034 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.034 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.034 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.035 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.035 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.035 * [backup-simplify]: Simplify (- 0) into 0 7.035 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.035 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.035 * [taylor]: Taking taylor expansion of J in U 7.035 * [backup-simplify]: Simplify J into J 7.035 * [backup-simplify]: Simplify (* 1 1) into 1 7.035 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.035 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.035 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.036 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.036 * [taylor]: Taking taylor expansion of 1 in U 7.036 * [backup-simplify]: Simplify 1 into 1 7.036 * [backup-simplify]: Simplify (+ 0 1) into 1 7.036 * [backup-simplify]: Simplify (sqrt 1) into 1 7.037 * [backup-simplify]: Simplify (+ 0 0) into 0 7.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.037 * [taylor]: Taking taylor expansion of 1 in K 7.037 * [backup-simplify]: Simplify 1 into 1 7.037 * [taylor]: Taking taylor expansion of 1 in J 7.037 * [backup-simplify]: Simplify 1 into 1 7.037 * [taylor]: Taking taylor expansion of 0 in K 7.037 * [backup-simplify]: Simplify 0 into 0 7.037 * [taylor]: Taking taylor expansion of 0 in J 7.037 * [backup-simplify]: Simplify 0 into 0 7.037 * [taylor]: Taking taylor expansion of 0 in J 7.037 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify 1 into 1 7.038 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.038 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 7.039 * [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))) 7.039 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.039 * [taylor]: Taking taylor expansion of 1/8 in K 7.039 * [backup-simplify]: Simplify 1/8 into 1/8 7.039 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.039 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.039 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.039 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.039 * [taylor]: Taking taylor expansion of 1/2 in K 7.039 * [backup-simplify]: Simplify 1/2 into 1/2 7.039 * [taylor]: Taking taylor expansion of K in K 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.040 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.040 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.040 * [taylor]: Taking taylor expansion of J in K 7.040 * [backup-simplify]: Simplify J into J 7.040 * [backup-simplify]: Simplify (* 1 1) into 1 7.040 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.040 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.040 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 7.040 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 7.040 * [taylor]: Taking taylor expansion of 1/8 in J 7.040 * [backup-simplify]: Simplify 1/8 into 1/8 7.040 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.040 * [taylor]: Taking taylor expansion of J in J 7.040 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify 1 into 1 7.040 * [backup-simplify]: Simplify (* 1 1) into 1 7.041 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [taylor]: Taking taylor expansion of 0 in J 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [taylor]: Taking taylor expansion of 0 in J 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.046 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.046 * [backup-simplify]: Simplify (+ 0) into 0 7.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.049 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.049 * [backup-simplify]: Simplify (- 0) into 0 7.049 * [backup-simplify]: Simplify (+ 0 0) into 0 7.050 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.050 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 7.050 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 7.051 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 7.051 * [backup-simplify]: Simplify (+ 0 0) into 0 7.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 7.052 * [taylor]: Taking taylor expansion of 0 in K 7.052 * [backup-simplify]: Simplify 0 into 0 7.052 * [taylor]: Taking taylor expansion of 0 in J 7.052 * [backup-simplify]: Simplify 0 into 0 7.052 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.053 * [backup-simplify]: Simplify (+ 0) into 0 7.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 7.054 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 7.054 * [taylor]: Taking taylor expansion of 0 in J 7.054 * [backup-simplify]: Simplify 0 into 0 7.054 * [taylor]: Taking taylor expansion of 0 in J 7.054 * [backup-simplify]: Simplify 0 into 0 7.054 * [taylor]: Taking taylor expansion of 0 in J 7.054 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.057 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) 2) (/ 1 J))) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) 2) (/ 1 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 7.057 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 7.057 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 7.057 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 7.057 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.057 * [taylor]: Taking taylor expansion of 1/4 in J 7.057 * [backup-simplify]: Simplify 1/4 into 1/4 7.057 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 7.057 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.057 * [taylor]: Taking taylor expansion of J in J 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 7.057 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.057 * [taylor]: Taking taylor expansion of U in J 7.057 * [backup-simplify]: Simplify U into U 7.057 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.057 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.057 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.057 * [taylor]: Taking taylor expansion of 1/2 in J 7.057 * [backup-simplify]: Simplify 1/2 into 1/2 7.057 * [taylor]: Taking taylor expansion of K in J 7.057 * [backup-simplify]: Simplify K into K 7.058 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.058 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.058 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.058 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.058 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.058 * [backup-simplify]: Simplify (- 0) into 0 7.058 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.058 * [backup-simplify]: Simplify (* 1 1) into 1 7.059 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.059 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.059 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.059 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 7.059 * [taylor]: Taking taylor expansion of 1 in J 7.059 * [backup-simplify]: Simplify 1 into 1 7.059 * [backup-simplify]: Simplify (+ 0 1) into 1 7.059 * [backup-simplify]: Simplify (sqrt 1) into 1 7.060 * [backup-simplify]: Simplify (+ 0 0) into 0 7.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.060 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 7.060 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 7.060 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 7.060 * [taylor]: Taking taylor expansion of 1/4 in K 7.060 * [backup-simplify]: Simplify 1/4 into 1/4 7.060 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 7.060 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.060 * [taylor]: Taking taylor expansion of J in K 7.060 * [backup-simplify]: Simplify J into J 7.060 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 7.060 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.060 * [taylor]: Taking taylor expansion of U in K 7.060 * [backup-simplify]: Simplify U into U 7.060 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 7.060 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.060 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.060 * [taylor]: Taking taylor expansion of 1/2 in K 7.060 * [backup-simplify]: Simplify 1/2 into 1/2 7.060 * [taylor]: Taking taylor expansion of K in K 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 1 into 1 7.061 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.061 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.061 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.061 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.061 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.061 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.061 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 7.061 * [taylor]: Taking taylor expansion of 1 in K 7.061 * [backup-simplify]: Simplify 1 into 1 7.061 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 7.061 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 7.062 * [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)) 7.062 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.062 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.062 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.062 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.062 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.063 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.063 * [backup-simplify]: Simplify (+ 0 0) into 0 7.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 7.064 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.064 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.064 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.064 * [taylor]: Taking taylor expansion of 1/4 in U 7.064 * [backup-simplify]: Simplify 1/4 into 1/4 7.064 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.064 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.064 * [taylor]: Taking taylor expansion of J in U 7.064 * [backup-simplify]: Simplify J into J 7.064 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.064 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.064 * [taylor]: Taking taylor expansion of U in U 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 1 into 1 7.064 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.064 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.064 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.064 * [taylor]: Taking taylor expansion of 1/2 in U 7.064 * [backup-simplify]: Simplify 1/2 into 1/2 7.064 * [taylor]: Taking taylor expansion of K in U 7.064 * [backup-simplify]: Simplify K into K 7.064 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.064 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.064 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.064 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.064 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.064 * [backup-simplify]: Simplify (- 0) into 0 7.065 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.065 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.065 * [backup-simplify]: Simplify (* 1 1) into 1 7.065 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.065 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.065 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.065 * [taylor]: Taking taylor expansion of 1 in U 7.065 * [backup-simplify]: Simplify 1 into 1 7.065 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.065 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.066 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.066 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.066 * [backup-simplify]: Simplify (+ 0) into 0 7.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.066 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.067 * [backup-simplify]: Simplify (- 0) into 0 7.068 * [backup-simplify]: Simplify (+ 0 0) into 0 7.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.069 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.069 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.069 * [backup-simplify]: Simplify (+ 0 0) into 0 7.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.069 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.069 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.069 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.069 * [taylor]: Taking taylor expansion of 1/4 in U 7.069 * [backup-simplify]: Simplify 1/4 into 1/4 7.070 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.070 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.070 * [taylor]: Taking taylor expansion of J in U 7.070 * [backup-simplify]: Simplify J into J 7.070 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.070 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.070 * [taylor]: Taking taylor expansion of U in U 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.070 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.070 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.070 * [taylor]: Taking taylor expansion of 1/2 in U 7.070 * [backup-simplify]: Simplify 1/2 into 1/2 7.070 * [taylor]: Taking taylor expansion of K in U 7.070 * [backup-simplify]: Simplify K into K 7.070 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.070 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.070 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.070 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.070 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.070 * [backup-simplify]: Simplify (- 0) into 0 7.070 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.070 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.071 * [backup-simplify]: Simplify (* 1 1) into 1 7.071 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.071 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.071 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.071 * [taylor]: Taking taylor expansion of 1 in U 7.071 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.071 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.071 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.071 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.072 * [backup-simplify]: Simplify (+ 0) into 0 7.072 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.072 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.073 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.073 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.073 * [backup-simplify]: Simplify (- 0) into 0 7.074 * [backup-simplify]: Simplify (+ 0 0) into 0 7.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.075 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.075 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.076 * [backup-simplify]: Simplify (+ 0 0) into 0 7.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 7.076 * [taylor]: Taking taylor expansion of 1/2 in K 7.076 * [backup-simplify]: Simplify 1/2 into 1/2 7.076 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 7.076 * [taylor]: Taking taylor expansion of J in K 7.076 * [backup-simplify]: Simplify J into J 7.076 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.076 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.076 * [taylor]: Taking taylor expansion of 1/2 in K 7.076 * [backup-simplify]: Simplify 1/2 into 1/2 7.076 * [taylor]: Taking taylor expansion of K in K 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify 1 into 1 7.076 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.076 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.076 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.076 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 7.076 * [taylor]: Taking taylor expansion of 1/2 in J 7.077 * [backup-simplify]: Simplify 1/2 into 1/2 7.077 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 7.077 * [taylor]: Taking taylor expansion of J in J 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 1 into 1 7.077 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.077 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.077 * [taylor]: Taking taylor expansion of 1/2 in J 7.077 * [backup-simplify]: Simplify 1/2 into 1/2 7.077 * [taylor]: Taking taylor expansion of K in J 7.077 * [backup-simplify]: Simplify K into K 7.077 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.077 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.077 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.077 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.077 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.077 * [backup-simplify]: Simplify (- 0) into 0 7.077 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.077 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 7.077 * [taylor]: Taking taylor expansion of 0 in K 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [taylor]: Taking taylor expansion of 0 in J 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.078 * [taylor]: Taking taylor expansion of 0 in J 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 7.078 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 7.078 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.079 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.079 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.080 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.080 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.080 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.081 * [backup-simplify]: Simplify (- 0) into 0 7.081 * [backup-simplify]: Simplify (+ 0 0) into 0 7.081 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.083 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.083 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.084 * [backup-simplify]: Simplify (+ 0 1) into 1 7.084 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 7.084 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 7.084 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.084 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.084 * [taylor]: Taking taylor expansion of 1/2 in K 7.084 * [backup-simplify]: Simplify 1/2 into 1/2 7.084 * [taylor]: Taking taylor expansion of K in K 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify 1 into 1 7.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.085 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.085 * [taylor]: Taking taylor expansion of J in K 7.085 * [backup-simplify]: Simplify J into J 7.085 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.085 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 7.085 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.085 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.085 * [taylor]: Taking taylor expansion of 1/2 in J 7.085 * [backup-simplify]: Simplify 1/2 into 1/2 7.085 * [taylor]: Taking taylor expansion of K in J 7.085 * [backup-simplify]: Simplify K into K 7.085 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.085 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.085 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.085 * [taylor]: Taking taylor expansion of J in J 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.085 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.085 * [backup-simplify]: Simplify (- 0) into 0 7.086 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.086 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.086 * [backup-simplify]: Simplify (+ 0) into 0 7.086 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.086 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.087 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.087 * [backup-simplify]: Simplify (- 0) into 0 7.088 * [backup-simplify]: Simplify (+ 0 0) into 0 7.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [taylor]: Taking taylor expansion of 0 in J 7.088 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [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 7.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 7.089 * [taylor]: Taking taylor expansion of 0 in J 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify (+ 0) into 0 7.090 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.090 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.091 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.091 * [backup-simplify]: Simplify (- 0) into 0 7.092 * [backup-simplify]: Simplify (+ 0 0) into 0 7.092 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 7.093 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) 2) (/ 1 (- J)))) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) 2) (/ 1 (- J))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 7.093 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 7.093 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 7.093 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 7.093 * [taylor]: Taking taylor expansion of 1 in J 7.093 * [backup-simplify]: Simplify 1 into 1 7.093 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 7.093 * [taylor]: Taking taylor expansion of 1/4 in J 7.093 * [backup-simplify]: Simplify 1/4 into 1/4 7.093 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 7.093 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.093 * [taylor]: Taking taylor expansion of J in J 7.093 * [backup-simplify]: Simplify 0 into 0 7.093 * [backup-simplify]: Simplify 1 into 1 7.093 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 7.093 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.093 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.093 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.093 * [taylor]: Taking taylor expansion of -1/2 in J 7.093 * [backup-simplify]: Simplify -1/2 into -1/2 7.093 * [taylor]: Taking taylor expansion of K in J 7.093 * [backup-simplify]: Simplify K into K 7.093 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.093 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.093 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.093 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.093 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.094 * [backup-simplify]: Simplify (- 0) into 0 7.094 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.094 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.094 * [taylor]: Taking taylor expansion of U in J 7.094 * [backup-simplify]: Simplify U into U 7.094 * [backup-simplify]: Simplify (* 1 1) into 1 7.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.094 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.094 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.094 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.095 * [backup-simplify]: Simplify (+ 1 0) into 1 7.095 * [backup-simplify]: Simplify (sqrt 1) into 1 7.095 * [backup-simplify]: Simplify (+ 0 0) into 0 7.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.095 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 7.096 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 7.096 * [taylor]: Taking taylor expansion of 1 in K 7.096 * [backup-simplify]: Simplify 1 into 1 7.096 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 7.096 * [taylor]: Taking taylor expansion of 1/4 in K 7.096 * [backup-simplify]: Simplify 1/4 into 1/4 7.096 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 7.096 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.096 * [taylor]: Taking taylor expansion of J in K 7.096 * [backup-simplify]: Simplify J into J 7.096 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 7.096 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.096 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.096 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.096 * [taylor]: Taking taylor expansion of -1/2 in K 7.096 * [backup-simplify]: Simplify -1/2 into -1/2 7.096 * [taylor]: Taking taylor expansion of K in K 7.096 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify 1 into 1 7.096 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.096 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.096 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.096 * [taylor]: Taking taylor expansion of U in K 7.096 * [backup-simplify]: Simplify U into U 7.096 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.096 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.096 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.096 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.097 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.097 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 7.097 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 7.097 * [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)))))) 7.097 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.097 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.097 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.097 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 7.098 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 7.098 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 7.099 * [backup-simplify]: Simplify (+ 0 0) into 0 7.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 7.099 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.099 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.099 * [taylor]: Taking taylor expansion of 1 in U 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.099 * [taylor]: Taking taylor expansion of 1/4 in U 7.099 * [backup-simplify]: Simplify 1/4 into 1/4 7.099 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.099 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.099 * [taylor]: Taking taylor expansion of J in U 7.099 * [backup-simplify]: Simplify J into J 7.099 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.099 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.099 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.099 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.099 * [taylor]: Taking taylor expansion of -1/2 in U 7.099 * [backup-simplify]: Simplify -1/2 into -1/2 7.099 * [taylor]: Taking taylor expansion of K in U 7.099 * [backup-simplify]: Simplify K into K 7.099 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.099 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.099 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.099 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.099 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.100 * [backup-simplify]: Simplify (- 0) into 0 7.100 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.100 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.100 * [taylor]: Taking taylor expansion of U in U 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify 1 into 1 7.100 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.100 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.100 * [backup-simplify]: Simplify (* 1 1) into 1 7.100 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.100 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.100 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.101 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.101 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.101 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.101 * [backup-simplify]: Simplify (+ 0) into 0 7.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.103 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.103 * [backup-simplify]: Simplify (- 0) into 0 7.104 * [backup-simplify]: Simplify (+ 0 0) into 0 7.104 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.104 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.105 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.105 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.106 * [backup-simplify]: Simplify (+ 0 0) into 0 7.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.106 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.106 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.106 * [taylor]: Taking taylor expansion of 1 in U 7.106 * [backup-simplify]: Simplify 1 into 1 7.106 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.106 * [taylor]: Taking taylor expansion of 1/4 in U 7.106 * [backup-simplify]: Simplify 1/4 into 1/4 7.106 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.106 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.106 * [taylor]: Taking taylor expansion of J in U 7.106 * [backup-simplify]: Simplify J into J 7.106 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.106 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.106 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.106 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.107 * [taylor]: Taking taylor expansion of -1/2 in U 7.107 * [backup-simplify]: Simplify -1/2 into -1/2 7.107 * [taylor]: Taking taylor expansion of K in U 7.107 * [backup-simplify]: Simplify K into K 7.107 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.107 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.107 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.107 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.107 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.107 * [backup-simplify]: Simplify (- 0) into 0 7.108 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.108 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.108 * [taylor]: Taking taylor expansion of U in U 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 1 into 1 7.108 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.108 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.108 * [backup-simplify]: Simplify (* 1 1) into 1 7.108 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.109 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.109 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.109 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.109 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.109 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.110 * [backup-simplify]: Simplify (+ 0) into 0 7.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.112 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.113 * [backup-simplify]: Simplify (- 0) into 0 7.113 * [backup-simplify]: Simplify (+ 0 0) into 0 7.114 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.114 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.114 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.115 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.116 * [backup-simplify]: Simplify (+ 0 0) into 0 7.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 7.116 * [taylor]: Taking taylor expansion of 1/2 in K 7.116 * [backup-simplify]: Simplify 1/2 into 1/2 7.116 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 7.116 * [taylor]: Taking taylor expansion of J in K 7.116 * [backup-simplify]: Simplify J into J 7.116 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.116 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.116 * [taylor]: Taking taylor expansion of -1/2 in K 7.116 * [backup-simplify]: Simplify -1/2 into -1/2 7.116 * [taylor]: Taking taylor expansion of K in K 7.116 * [backup-simplify]: Simplify 0 into 0 7.116 * [backup-simplify]: Simplify 1 into 1 7.117 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.117 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.117 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.117 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 7.117 * [taylor]: Taking taylor expansion of 1/2 in J 7.117 * [backup-simplify]: Simplify 1/2 into 1/2 7.117 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 7.117 * [taylor]: Taking taylor expansion of J in J 7.117 * [backup-simplify]: Simplify 0 into 0 7.117 * [backup-simplify]: Simplify 1 into 1 7.117 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.117 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.117 * [taylor]: Taking taylor expansion of -1/2 in J 7.117 * [backup-simplify]: Simplify -1/2 into -1/2 7.117 * [taylor]: Taking taylor expansion of K in J 7.117 * [backup-simplify]: Simplify K into K 7.117 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.117 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.118 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.118 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.118 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.118 * [backup-simplify]: Simplify (- 0) into 0 7.118 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.118 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 7.118 * [taylor]: Taking taylor expansion of 0 in K 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [taylor]: Taking taylor expansion of 0 in J 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.119 * [taylor]: Taking taylor expansion of 0 in J 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 7.120 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 7.120 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.122 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.123 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.124 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.124 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.125 * [backup-simplify]: Simplify (- 0) into 0 7.125 * [backup-simplify]: Simplify (+ 0 0) into 0 7.125 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.126 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.127 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.128 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 7.128 * [backup-simplify]: Simplify (+ 1 0) into 1 7.129 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 7.129 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 7.129 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.129 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.129 * [taylor]: Taking taylor expansion of -1/2 in K 7.129 * [backup-simplify]: Simplify -1/2 into -1/2 7.129 * [taylor]: Taking taylor expansion of K in K 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify 1 into 1 7.129 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.130 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.130 * [taylor]: Taking taylor expansion of J in K 7.130 * [backup-simplify]: Simplify J into J 7.130 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 7.130 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 7.130 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.130 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.130 * [taylor]: Taking taylor expansion of -1/2 in J 7.130 * [backup-simplify]: Simplify -1/2 into -1/2 7.130 * [taylor]: Taking taylor expansion of K in J 7.130 * [backup-simplify]: Simplify K into K 7.130 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.130 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.130 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.130 * [taylor]: Taking taylor expansion of J in J 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify 1 into 1 7.130 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.130 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.131 * [backup-simplify]: Simplify (- 0) into 0 7.131 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.131 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.131 * [backup-simplify]: Simplify (+ 0) into 0 7.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.132 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.133 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.133 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.134 * [backup-simplify]: Simplify (- 0) into 0 7.134 * [backup-simplify]: Simplify (+ 0 0) into 0 7.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [taylor]: Taking taylor expansion of 0 in J 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [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 7.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 7.136 * [taylor]: Taking taylor expansion of 0 in J 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify (+ 0) into 0 7.136 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.137 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.137 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.137 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.138 * [backup-simplify]: Simplify (- 0) into 0 7.138 * [backup-simplify]: Simplify (+ 0 0) into 0 7.138 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 7.138 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 7.139 * [backup-simplify]: Simplify (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 7.139 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 7.139 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 7.139 * [taylor]: Taking taylor expansion of 1/4 in J 7.139 * [backup-simplify]: Simplify 1/4 into 1/4 7.139 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.139 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.139 * [taylor]: Taking taylor expansion of U in J 7.139 * [backup-simplify]: Simplify U into U 7.139 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.139 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.139 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.139 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.139 * [taylor]: Taking taylor expansion of 1/2 in J 7.139 * [backup-simplify]: Simplify 1/2 into 1/2 7.139 * [taylor]: Taking taylor expansion of K in J 7.139 * [backup-simplify]: Simplify K into K 7.139 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.139 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.139 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.139 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.139 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.139 * [backup-simplify]: Simplify (- 0) into 0 7.139 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.139 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.140 * [taylor]: Taking taylor expansion of J in J 7.140 * [backup-simplify]: Simplify 0 into 0 7.140 * [backup-simplify]: Simplify 1 into 1 7.140 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.140 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.140 * [backup-simplify]: Simplify (* 1 1) into 1 7.140 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.140 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 7.140 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 7.140 * [taylor]: Taking taylor expansion of 1/4 in K 7.140 * [backup-simplify]: Simplify 1/4 into 1/4 7.140 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.140 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.140 * [taylor]: Taking taylor expansion of U in K 7.140 * [backup-simplify]: Simplify U into U 7.140 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.140 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.140 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.140 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.140 * [taylor]: Taking taylor expansion of 1/2 in K 7.140 * [backup-simplify]: Simplify 1/2 into 1/2 7.140 * [taylor]: Taking taylor expansion of K in K 7.140 * [backup-simplify]: Simplify 0 into 0 7.140 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.141 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.141 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.141 * [taylor]: Taking taylor expansion of J in K 7.141 * [backup-simplify]: Simplify J into J 7.141 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.141 * [backup-simplify]: Simplify (* 1 1) into 1 7.141 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.141 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.142 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 7.142 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.142 * [taylor]: Taking taylor expansion of 1/4 in U 7.142 * [backup-simplify]: Simplify 1/4 into 1/4 7.142 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.142 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.142 * [taylor]: Taking taylor expansion of U in U 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify 1 into 1 7.142 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.142 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.142 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.142 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.142 * [taylor]: Taking taylor expansion of 1/2 in U 7.142 * [backup-simplify]: Simplify 1/2 into 1/2 7.142 * [taylor]: Taking taylor expansion of K in U 7.142 * [backup-simplify]: Simplify K into K 7.142 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.142 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.142 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.142 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.142 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.142 * [backup-simplify]: Simplify (- 0) into 0 7.142 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.142 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.142 * [taylor]: Taking taylor expansion of J in U 7.142 * [backup-simplify]: Simplify J into J 7.143 * [backup-simplify]: Simplify (* 1 1) into 1 7.143 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.143 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.143 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.143 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.143 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.143 * [taylor]: Taking taylor expansion of 1/4 in U 7.143 * [backup-simplify]: Simplify 1/4 into 1/4 7.143 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.143 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.143 * [taylor]: Taking taylor expansion of U in U 7.143 * [backup-simplify]: Simplify 0 into 0 7.143 * [backup-simplify]: Simplify 1 into 1 7.143 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.143 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.143 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.143 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.143 * [taylor]: Taking taylor expansion of 1/2 in U 7.143 * [backup-simplify]: Simplify 1/2 into 1/2 7.143 * [taylor]: Taking taylor expansion of K in U 7.143 * [backup-simplify]: Simplify K into K 7.143 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.143 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.143 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.143 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.143 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.144 * [backup-simplify]: Simplify (- 0) into 0 7.144 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.144 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.144 * [taylor]: Taking taylor expansion of J in U 7.144 * [backup-simplify]: Simplify J into J 7.144 * [backup-simplify]: Simplify (* 1 1) into 1 7.144 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.144 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.144 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.144 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.145 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.145 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.145 * [taylor]: Taking taylor expansion of 1/4 in K 7.145 * [backup-simplify]: Simplify 1/4 into 1/4 7.145 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.145 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.145 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.145 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.145 * [taylor]: Taking taylor expansion of 1/2 in K 7.145 * [backup-simplify]: Simplify 1/2 into 1/2 7.145 * [taylor]: Taking taylor expansion of K in K 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify 1 into 1 7.145 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.145 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.145 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.145 * [taylor]: Taking taylor expansion of J in K 7.146 * [backup-simplify]: Simplify J into J 7.146 * [backup-simplify]: Simplify (* 1 1) into 1 7.146 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.146 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.146 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 7.146 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 7.146 * [taylor]: Taking taylor expansion of 1/4 in J 7.146 * [backup-simplify]: Simplify 1/4 into 1/4 7.146 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.146 * [taylor]: Taking taylor expansion of J in J 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify 1 into 1 7.146 * [backup-simplify]: Simplify (* 1 1) into 1 7.147 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 7.147 * [backup-simplify]: Simplify 1/4 into 1/4 7.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.147 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.147 * [backup-simplify]: Simplify (+ 0) into 0 7.148 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.148 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.149 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.149 * [backup-simplify]: Simplify (- 0) into 0 7.149 * [backup-simplify]: Simplify (+ 0 0) into 0 7.149 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.149 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 7.150 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 7.150 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 7.150 * [taylor]: Taking taylor expansion of 0 in K 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [taylor]: Taking taylor expansion of 0 in J 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.150 * [backup-simplify]: Simplify (+ 0) into 0 7.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 7.151 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 7.151 * [taylor]: Taking taylor expansion of 0 in J 7.151 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 7.152 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.153 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.154 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.154 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.155 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.155 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.156 * [backup-simplify]: Simplify (- 0) into 0 7.156 * [backup-simplify]: Simplify (+ 0 0) into 0 7.156 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 7.157 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 7.157 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 7.161 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 7.161 * [taylor]: Taking taylor expansion of 0 in K 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [taylor]: Taking taylor expansion of 0 in J 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [taylor]: Taking taylor expansion of 0 in J 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.163 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 7.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 7.164 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 7.164 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 7.164 * [taylor]: Taking taylor expansion of 1/16 in J 7.164 * [backup-simplify]: Simplify 1/16 into 1/16 7.164 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 7.164 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.164 * [taylor]: Taking taylor expansion of J in J 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [backup-simplify]: Simplify 1 into 1 7.165 * [backup-simplify]: Simplify (* 1 1) into 1 7.165 * [backup-simplify]: Simplify (/ 1 1) into 1 7.165 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 7.165 * [backup-simplify]: Simplify 1/16 into 1/16 7.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.167 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.169 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 7.170 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.170 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 7.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.174 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.175 * [backup-simplify]: Simplify (- 0) into 0 7.175 * [backup-simplify]: Simplify (+ 0 0) into 0 7.176 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 7.177 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 7.178 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 7.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 7.179 * [taylor]: Taking taylor expansion of 0 in K 7.179 * [backup-simplify]: Simplify 0 into 0 7.179 * [taylor]: Taking taylor expansion of 0 in J 7.179 * [backup-simplify]: Simplify 0 into 0 7.179 * [taylor]: Taking taylor expansion of 0 in J 7.179 * [backup-simplify]: Simplify 0 into 0 7.179 * [taylor]: Taking taylor expansion of 0 in J 7.180 * [backup-simplify]: Simplify 0 into 0 7.180 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 7.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.182 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 7.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 7.185 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 7.185 * [taylor]: Taking taylor expansion of 0 in J 7.185 * [backup-simplify]: Simplify 0 into 0 7.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.187 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.189 * [backup-simplify]: Simplify 0 into 0 7.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.191 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 7.194 * [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 7.195 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 7.198 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.199 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 7.199 * [backup-simplify]: Simplify (- 0) into 0 7.200 * [backup-simplify]: Simplify (+ 0 0) into 0 7.201 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 7.202 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 7.203 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 7.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0 7.205 * [taylor]: Taking taylor expansion of 0 in K 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [taylor]: Taking taylor expansion of 0 in J 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [taylor]: Taking taylor expansion of 0 in J 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [taylor]: Taking taylor expansion of 0 in J 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [taylor]: Taking taylor expansion of 0 in J 7.206 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 7.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.211 * [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 7.212 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 7.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 7.215 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 7.215 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 7.215 * [taylor]: Taking taylor expansion of 1/96 in J 7.215 * [backup-simplify]: Simplify 1/96 into 1/96 7.215 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 7.215 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.215 * [taylor]: Taking taylor expansion of J in J 7.215 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify 1 into 1 7.216 * [backup-simplify]: Simplify (* 1 1) into 1 7.216 * [backup-simplify]: Simplify (/ 1 1) into 1 7.216 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 7.216 * [backup-simplify]: Simplify 1/96 into 1/96 7.218 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 7.218 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) 2) (/ 1 J))) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) 2) (/ 1 J)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 7.218 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 7.218 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.218 * [taylor]: Taking taylor expansion of 1/4 in J 7.218 * [backup-simplify]: Simplify 1/4 into 1/4 7.218 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 7.218 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.218 * [taylor]: Taking taylor expansion of J in J 7.218 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify 1 into 1 7.218 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 7.218 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.218 * [taylor]: Taking taylor expansion of U in J 7.219 * [backup-simplify]: Simplify U into U 7.219 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.219 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.219 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.219 * [taylor]: Taking taylor expansion of 1/2 in J 7.219 * [backup-simplify]: Simplify 1/2 into 1/2 7.219 * [taylor]: Taking taylor expansion of K in J 7.219 * [backup-simplify]: Simplify K into K 7.219 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.219 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.219 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.219 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.219 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.220 * [backup-simplify]: Simplify (- 0) into 0 7.220 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.220 * [backup-simplify]: Simplify (* 1 1) into 1 7.220 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.220 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.221 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.221 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 7.221 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 7.221 * [taylor]: Taking taylor expansion of 1/4 in K 7.221 * [backup-simplify]: Simplify 1/4 into 1/4 7.221 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 7.221 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.221 * [taylor]: Taking taylor expansion of J in K 7.221 * [backup-simplify]: Simplify J into J 7.221 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 7.221 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.221 * [taylor]: Taking taylor expansion of U in K 7.221 * [backup-simplify]: Simplify U into U 7.221 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 7.221 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.221 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.221 * [taylor]: Taking taylor expansion of 1/2 in K 7.221 * [backup-simplify]: Simplify 1/2 into 1/2 7.221 * [taylor]: Taking taylor expansion of K in K 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.222 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.222 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.222 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.222 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.222 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.222 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.223 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 7.223 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.223 * [taylor]: Taking taylor expansion of 1/4 in U 7.223 * [backup-simplify]: Simplify 1/4 into 1/4 7.223 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.223 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.223 * [taylor]: Taking taylor expansion of J in U 7.223 * [backup-simplify]: Simplify J into J 7.223 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.223 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.223 * [taylor]: Taking taylor expansion of U in U 7.223 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify 1 into 1 7.223 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.223 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.223 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.223 * [taylor]: Taking taylor expansion of 1/2 in U 7.223 * [backup-simplify]: Simplify 1/2 into 1/2 7.223 * [taylor]: Taking taylor expansion of K in U 7.223 * [backup-simplify]: Simplify K into K 7.223 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.223 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.223 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.223 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.224 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.224 * [backup-simplify]: Simplify (- 0) into 0 7.224 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.225 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.225 * [backup-simplify]: Simplify (* 1 1) into 1 7.225 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.225 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.225 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.225 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.225 * [taylor]: Taking taylor expansion of 1/4 in U 7.225 * [backup-simplify]: Simplify 1/4 into 1/4 7.226 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.226 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.226 * [taylor]: Taking taylor expansion of J in U 7.226 * [backup-simplify]: Simplify J into J 7.226 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.226 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.226 * [taylor]: Taking taylor expansion of U in U 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 1 into 1 7.226 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.226 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.226 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.226 * [taylor]: Taking taylor expansion of 1/2 in U 7.226 * [backup-simplify]: Simplify 1/2 into 1/2 7.226 * [taylor]: Taking taylor expansion of K in U 7.226 * [backup-simplify]: Simplify K into K 7.226 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.226 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.226 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.226 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.226 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.227 * [backup-simplify]: Simplify (- 0) into 0 7.227 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.227 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.227 * [backup-simplify]: Simplify (* 1 1) into 1 7.228 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.228 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.228 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.228 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.228 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 7.228 * [taylor]: Taking taylor expansion of 1/4 in K 7.228 * [backup-simplify]: Simplify 1/4 into 1/4 7.228 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 7.228 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.228 * [taylor]: Taking taylor expansion of J in K 7.228 * [backup-simplify]: Simplify J into J 7.228 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 7.228 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.228 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.228 * [taylor]: Taking taylor expansion of 1/2 in K 7.228 * [backup-simplify]: Simplify 1/2 into 1/2 7.229 * [taylor]: Taking taylor expansion of K in K 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 1 into 1 7.229 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.229 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.229 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.229 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.230 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.230 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.230 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 7.230 * [taylor]: Taking taylor expansion of 1/4 in J 7.230 * [backup-simplify]: Simplify 1/4 into 1/4 7.230 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 7.230 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.230 * [taylor]: Taking taylor expansion of J in J 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 1 into 1 7.230 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.230 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.230 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.230 * [taylor]: Taking taylor expansion of 1/2 in J 7.230 * [backup-simplify]: Simplify 1/2 into 1/2 7.230 * [taylor]: Taking taylor expansion of K in J 7.230 * [backup-simplify]: Simplify K into K 7.230 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.230 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.230 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.231 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.231 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.231 * [backup-simplify]: Simplify (- 0) into 0 7.231 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.232 * [backup-simplify]: Simplify (* 1 1) into 1 7.232 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.232 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 7.232 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 7.232 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 7.232 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.233 * [backup-simplify]: Simplify (+ 0) into 0 7.233 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.233 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.235 * [backup-simplify]: Simplify (- 0) into 0 7.236 * [backup-simplify]: Simplify (+ 0 0) into 0 7.236 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.238 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.238 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.238 * [taylor]: Taking taylor expansion of 0 in K 7.238 * [backup-simplify]: Simplify 0 into 0 7.238 * [taylor]: Taking taylor expansion of 0 in J 7.238 * [backup-simplify]: Simplify 0 into 0 7.238 * [backup-simplify]: Simplify 0 into 0 7.238 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.239 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.240 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.240 * [taylor]: Taking taylor expansion of 0 in J 7.240 * [backup-simplify]: Simplify 0 into 0 7.240 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.241 * [backup-simplify]: Simplify (+ 0) into 0 7.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.242 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.243 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.243 * [backup-simplify]: Simplify (- 0) into 0 7.244 * [backup-simplify]: Simplify (+ 0 0) into 0 7.244 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.244 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.245 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 7.245 * [backup-simplify]: Simplify 0 into 0 7.245 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.247 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.247 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.248 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.249 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.249 * [backup-simplify]: Simplify (- 0) into 0 7.249 * [backup-simplify]: Simplify (+ 0 0) into 0 7.250 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.252 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.254 * [taylor]: Taking taylor expansion of 0 in K 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [taylor]: Taking taylor expansion of 0 in J 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [taylor]: Taking taylor expansion of 0 in J 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.255 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.256 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.257 * [taylor]: Taking taylor expansion of 0 in J 7.257 * [backup-simplify]: Simplify 0 into 0 7.257 * [backup-simplify]: Simplify 0 into 0 7.257 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 7.257 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) 2) (/ 1 (- J)))) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) 2) (/ 1 (- J))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 7.258 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 7.258 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 7.258 * [taylor]: Taking taylor expansion of 1/4 in J 7.258 * [backup-simplify]: Simplify 1/4 into 1/4 7.258 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 7.258 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.258 * [taylor]: Taking taylor expansion of J in J 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify 1 into 1 7.258 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 7.258 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.258 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.258 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.258 * [taylor]: Taking taylor expansion of -1/2 in J 7.258 * [backup-simplify]: Simplify -1/2 into -1/2 7.258 * [taylor]: Taking taylor expansion of K in J 7.258 * [backup-simplify]: Simplify K into K 7.258 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.258 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.258 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.258 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.258 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.259 * [backup-simplify]: Simplify (- 0) into 0 7.259 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.259 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.259 * [taylor]: Taking taylor expansion of U in J 7.259 * [backup-simplify]: Simplify U into U 7.260 * [backup-simplify]: Simplify (* 1 1) into 1 7.260 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.260 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.260 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.260 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.260 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 7.260 * [taylor]: Taking taylor expansion of 1/4 in K 7.260 * [backup-simplify]: Simplify 1/4 into 1/4 7.260 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 7.260 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.260 * [taylor]: Taking taylor expansion of J in K 7.261 * [backup-simplify]: Simplify J into J 7.261 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 7.261 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.261 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.261 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.261 * [taylor]: Taking taylor expansion of -1/2 in K 7.261 * [backup-simplify]: Simplify -1/2 into -1/2 7.261 * [taylor]: Taking taylor expansion of K in K 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.261 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.261 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.261 * [taylor]: Taking taylor expansion of U in K 7.261 * [backup-simplify]: Simplify U into U 7.262 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.262 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.262 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.262 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.262 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.262 * [taylor]: Taking taylor expansion of 1/4 in U 7.262 * [backup-simplify]: Simplify 1/4 into 1/4 7.262 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.262 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.262 * [taylor]: Taking taylor expansion of J in U 7.262 * [backup-simplify]: Simplify J into J 7.262 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.263 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.263 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.263 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.263 * [taylor]: Taking taylor expansion of -1/2 in U 7.263 * [backup-simplify]: Simplify -1/2 into -1/2 7.263 * [taylor]: Taking taylor expansion of K in U 7.263 * [backup-simplify]: Simplify K into K 7.263 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.263 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.263 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.263 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.263 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.264 * [backup-simplify]: Simplify (- 0) into 0 7.264 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.264 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.264 * [taylor]: Taking taylor expansion of U in U 7.264 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify 1 into 1 7.264 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.264 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.265 * [backup-simplify]: Simplify (* 1 1) into 1 7.265 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.265 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.265 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.265 * [taylor]: Taking taylor expansion of 1/4 in U 7.265 * [backup-simplify]: Simplify 1/4 into 1/4 7.265 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.265 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.265 * [taylor]: Taking taylor expansion of J in U 7.265 * [backup-simplify]: Simplify J into J 7.265 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.265 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.265 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.265 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.266 * [taylor]: Taking taylor expansion of -1/2 in U 7.266 * [backup-simplify]: Simplify -1/2 into -1/2 7.266 * [taylor]: Taking taylor expansion of K in U 7.266 * [backup-simplify]: Simplify K into K 7.266 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.266 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.266 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.266 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.266 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.267 * [backup-simplify]: Simplify (- 0) into 0 7.267 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.267 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.267 * [taylor]: Taking taylor expansion of U in U 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.267 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.267 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.268 * [backup-simplify]: Simplify (* 1 1) into 1 7.268 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.268 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.269 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.269 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 7.269 * [taylor]: Taking taylor expansion of 1/4 in K 7.269 * [backup-simplify]: Simplify 1/4 into 1/4 7.269 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 7.269 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.269 * [taylor]: Taking taylor expansion of J in K 7.269 * [backup-simplify]: Simplify J into J 7.269 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.269 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.269 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.269 * [taylor]: Taking taylor expansion of -1/2 in K 7.269 * [backup-simplify]: Simplify -1/2 into -1/2 7.269 * [taylor]: Taking taylor expansion of K in K 7.269 * [backup-simplify]: Simplify 0 into 0 7.269 * [backup-simplify]: Simplify 1 into 1 7.270 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.270 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.270 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.270 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.270 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.270 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.271 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 7.271 * [taylor]: Taking taylor expansion of 1/4 in J 7.271 * [backup-simplify]: Simplify 1/4 into 1/4 7.271 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 7.271 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.271 * [taylor]: Taking taylor expansion of J in J 7.271 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify 1 into 1 7.271 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.271 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.271 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.271 * [taylor]: Taking taylor expansion of -1/2 in J 7.271 * [backup-simplify]: Simplify -1/2 into -1/2 7.271 * [taylor]: Taking taylor expansion of K in J 7.271 * [backup-simplify]: Simplify K into K 7.271 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.271 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.271 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.271 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.271 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.272 * [backup-simplify]: Simplify (- 0) into 0 7.272 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.272 * [backup-simplify]: Simplify (* 1 1) into 1 7.272 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.273 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 7.273 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.273 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.273 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.274 * [backup-simplify]: Simplify (+ 0) into 0 7.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.275 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.276 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.277 * [backup-simplify]: Simplify (- 0) into 0 7.277 * [backup-simplify]: Simplify (+ 0 0) into 0 7.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.278 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.278 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.279 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.279 * [taylor]: Taking taylor expansion of 0 in K 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [taylor]: Taking taylor expansion of 0 in J 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.280 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.281 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.281 * [taylor]: Taking taylor expansion of 0 in J 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.282 * [backup-simplify]: Simplify (+ 0) into 0 7.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.282 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.284 * [backup-simplify]: Simplify (- 0) into 0 7.284 * [backup-simplify]: Simplify (+ 0 0) into 0 7.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.285 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.286 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.288 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.289 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.290 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.291 * [backup-simplify]: Simplify (- 0) into 0 7.291 * [backup-simplify]: Simplify (+ 0 0) into 0 7.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.293 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.293 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 7.294 * [taylor]: Taking taylor expansion of 0 in K 7.294 * [backup-simplify]: Simplify 0 into 0 7.294 * [taylor]: Taking taylor expansion of 0 in J 7.294 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify 0 into 0 7.294 * [taylor]: Taking taylor expansion of 0 in J 7.294 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.296 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.297 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 7.297 * [taylor]: Taking taylor expansion of 0 in J 7.297 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 7.298 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 2) 7.298 * [backup-simplify]: Simplify (* (* (cos (/ K 2)) 2) J) into (* 2 (* (cos (* 1/2 K)) J)) 7.298 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (K J) around 0 7.298 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 7.298 * [taylor]: Taking taylor expansion of 2 in J 7.298 * [backup-simplify]: Simplify 2 into 2 7.298 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.298 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.298 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.298 * [taylor]: Taking taylor expansion of 1/2 in J 7.298 * [backup-simplify]: Simplify 1/2 into 1/2 7.298 * [taylor]: Taking taylor expansion of K in J 7.298 * [backup-simplify]: Simplify K into K 7.298 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.298 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.298 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.298 * [taylor]: Taking taylor expansion of J in J 7.298 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify 1 into 1 7.298 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 7.298 * [taylor]: Taking taylor expansion of 2 in K 7.299 * [backup-simplify]: Simplify 2 into 2 7.299 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.299 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.299 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.299 * [taylor]: Taking taylor expansion of 1/2 in K 7.299 * [backup-simplify]: Simplify 1/2 into 1/2 7.299 * [taylor]: Taking taylor expansion of K in K 7.299 * [backup-simplify]: Simplify 0 into 0 7.299 * [backup-simplify]: Simplify 1 into 1 7.299 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.300 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.300 * [taylor]: Taking taylor expansion of J in K 7.300 * [backup-simplify]: Simplify J into J 7.300 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 7.300 * [taylor]: Taking taylor expansion of 2 in K 7.300 * [backup-simplify]: Simplify 2 into 2 7.300 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.300 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.300 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.300 * [taylor]: Taking taylor expansion of 1/2 in K 7.300 * [backup-simplify]: Simplify 1/2 into 1/2 7.300 * [taylor]: Taking taylor expansion of K in K 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify 1 into 1 7.301 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.302 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.302 * [taylor]: Taking taylor expansion of J in K 7.302 * [backup-simplify]: Simplify J into J 7.302 * [backup-simplify]: Simplify (* 1 J) into J 7.302 * [backup-simplify]: Simplify (* 2 J) into (* 2 J) 7.302 * [taylor]: Taking taylor expansion of (* 2 J) in J 7.302 * [taylor]: Taking taylor expansion of 2 in J 7.302 * [backup-simplify]: Simplify 2 into 2 7.302 * [taylor]: Taking taylor expansion of J in J 7.302 * [backup-simplify]: Simplify 0 into 0 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [backup-simplify]: Simplify (* 2 0) into 0 7.302 * [backup-simplify]: Simplify 0 into 0 7.303 * [backup-simplify]: Simplify (+ 0) into 0 7.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 7.304 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 J)) into 0 7.304 * [taylor]: Taking taylor expansion of 0 in J 7.304 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 7.305 * [backup-simplify]: Simplify 2 into 2 7.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 7.307 * [backup-simplify]: Simplify (+ (* 2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (- (* 1/4 J)) 7.307 * [taylor]: Taking taylor expansion of (- (* 1/4 J)) in J 7.307 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 7.307 * [taylor]: Taking taylor expansion of 1/4 in J 7.307 * [backup-simplify]: Simplify 1/4 into 1/4 7.307 * [taylor]: Taking taylor expansion of J in J 7.307 * [backup-simplify]: Simplify 0 into 0 7.307 * [backup-simplify]: Simplify 1 into 1 7.308 * [backup-simplify]: Simplify (* 1/4 0) into 0 7.308 * [backup-simplify]: Simplify (- 0) into 0 7.308 * [backup-simplify]: Simplify 0 into 0 7.308 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 7.309 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.316 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 7.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 7.319 * [taylor]: Taking taylor expansion of 0 in J 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 7.320 * [backup-simplify]: Simplify (- 1/4) into -1/4 7.320 * [backup-simplify]: Simplify -1/4 into -1/4 7.320 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.326 * [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 7.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 7.329 * [backup-simplify]: Simplify (+ (* 2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (* 1/192 J) 7.329 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 7.329 * [taylor]: Taking taylor expansion of 1/192 in J 7.329 * [backup-simplify]: Simplify 1/192 into 1/192 7.329 * [taylor]: Taking taylor expansion of J in J 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify 1 into 1 7.330 * [backup-simplify]: Simplify (* 1/192 0) into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 7.331 * [backup-simplify]: Simplify (- 0) into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify (+ (* -1/4 (* J (pow K 2))) (* 2 (* J 1))) into (- (* 2 J) (* 1/4 (* (pow K 2) J))) 7.332 * [backup-simplify]: Simplify (* (* (cos (/ (/ 1 K) 2)) 2) (/ 1 J)) into (* 2 (/ (cos (/ 1/2 K)) J)) 7.332 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 7.332 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 7.332 * [taylor]: Taking taylor expansion of 2 in J 7.332 * [backup-simplify]: Simplify 2 into 2 7.332 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 7.332 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.332 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.332 * [taylor]: Taking taylor expansion of 1/2 in J 7.332 * [backup-simplify]: Simplify 1/2 into 1/2 7.332 * [taylor]: Taking taylor expansion of K in J 7.332 * [backup-simplify]: Simplify K into K 7.332 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.332 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.332 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.332 * [taylor]: Taking taylor expansion of J in J 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 1 into 1 7.333 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.333 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.333 * [backup-simplify]: Simplify (- 0) into 0 7.333 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.333 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.333 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 7.333 * [taylor]: Taking taylor expansion of 2 in K 7.333 * [backup-simplify]: Simplify 2 into 2 7.333 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 7.334 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.334 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.334 * [taylor]: Taking taylor expansion of 1/2 in K 7.334 * [backup-simplify]: Simplify 1/2 into 1/2 7.334 * [taylor]: Taking taylor expansion of K in K 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 1 into 1 7.334 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.334 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.334 * [taylor]: Taking taylor expansion of J in K 7.334 * [backup-simplify]: Simplify J into J 7.334 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.334 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 7.334 * [taylor]: Taking taylor expansion of 2 in K 7.335 * [backup-simplify]: Simplify 2 into 2 7.335 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 7.335 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.335 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.335 * [taylor]: Taking taylor expansion of 1/2 in K 7.335 * [backup-simplify]: Simplify 1/2 into 1/2 7.335 * [taylor]: Taking taylor expansion of K in K 7.335 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify 1 into 1 7.335 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.335 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.335 * [taylor]: Taking taylor expansion of J in K 7.335 * [backup-simplify]: Simplify J into J 7.335 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.336 * [backup-simplify]: Simplify (* 2 (/ (cos (/ 1/2 K)) J)) into (* 2 (/ (cos (/ 1/2 K)) J)) 7.336 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 7.336 * [taylor]: Taking taylor expansion of 2 in J 7.336 * [backup-simplify]: Simplify 2 into 2 7.336 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 7.336 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.336 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.336 * [taylor]: Taking taylor expansion of 1/2 in J 7.336 * [backup-simplify]: Simplify 1/2 into 1/2 7.336 * [taylor]: Taking taylor expansion of K in J 7.336 * [backup-simplify]: Simplify K into K 7.336 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.336 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.336 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.336 * [taylor]: Taking taylor expansion of J in J 7.336 * [backup-simplify]: Simplify 0 into 0 7.336 * [backup-simplify]: Simplify 1 into 1 7.336 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.336 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.337 * [backup-simplify]: Simplify (- 0) into 0 7.337 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.337 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.337 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 7.337 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 7.338 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 7.338 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 7.338 * [taylor]: Taking taylor expansion of 0 in J 7.338 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify (+ 0) into 0 7.339 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.341 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.342 * [backup-simplify]: Simplify (- 0) into 0 7.342 * [backup-simplify]: Simplify (+ 0 0) into 0 7.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 7.344 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 7.344 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 7.345 * [taylor]: Taking taylor expansion of 0 in J 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.347 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.347 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.348 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.348 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.349 * [backup-simplify]: Simplify (- 0) into 0 7.349 * [backup-simplify]: Simplify (+ 0 0) into 0 7.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.352 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.352 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 7.353 * [taylor]: Taking taylor expansion of 0 in J 7.353 * [backup-simplify]: Simplify 0 into 0 7.353 * [backup-simplify]: Simplify 0 into 0 7.353 * [backup-simplify]: Simplify 0 into 0 7.355 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.355 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.356 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.357 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.358 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.359 * [backup-simplify]: Simplify (- 0) into 0 7.359 * [backup-simplify]: Simplify (+ 0 0) into 0 7.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.362 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 7.362 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 7.363 * [backup-simplify]: Simplify (* (* (cos (/ (/ 1 (- K)) 2)) 2) (/ 1 (- J))) into (* -2 (/ (cos (/ -1/2 K)) J)) 7.363 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 7.363 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 7.363 * [taylor]: Taking taylor expansion of -2 in J 7.363 * [backup-simplify]: Simplify -2 into -2 7.363 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 7.363 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.363 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.363 * [taylor]: Taking taylor expansion of -1/2 in J 7.363 * [backup-simplify]: Simplify -1/2 into -1/2 7.363 * [taylor]: Taking taylor expansion of K in J 7.363 * [backup-simplify]: Simplify K into K 7.363 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.363 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.363 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.363 * [taylor]: Taking taylor expansion of J in J 7.363 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify 1 into 1 7.363 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.364 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.364 * [backup-simplify]: Simplify (- 0) into 0 7.364 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.364 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.364 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 7.364 * [taylor]: Taking taylor expansion of -2 in K 7.364 * [backup-simplify]: Simplify -2 into -2 7.364 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 7.364 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.364 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.364 * [taylor]: Taking taylor expansion of -1/2 in K 7.365 * [backup-simplify]: Simplify -1/2 into -1/2 7.365 * [taylor]: Taking taylor expansion of K in K 7.365 * [backup-simplify]: Simplify 0 into 0 7.365 * [backup-simplify]: Simplify 1 into 1 7.365 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.365 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.365 * [taylor]: Taking taylor expansion of J in K 7.365 * [backup-simplify]: Simplify J into J 7.365 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 7.365 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 7.365 * [taylor]: Taking taylor expansion of -2 in K 7.365 * [backup-simplify]: Simplify -2 into -2 7.365 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 7.365 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.365 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.366 * [taylor]: Taking taylor expansion of -1/2 in K 7.366 * [backup-simplify]: Simplify -1/2 into -1/2 7.366 * [taylor]: Taking taylor expansion of K in K 7.366 * [backup-simplify]: Simplify 0 into 0 7.366 * [backup-simplify]: Simplify 1 into 1 7.366 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.366 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.366 * [taylor]: Taking taylor expansion of J in K 7.366 * [backup-simplify]: Simplify J into J 7.366 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 7.367 * [backup-simplify]: Simplify (* -2 (/ (cos (/ -1/2 K)) J)) into (* -2 (/ (cos (/ -1/2 K)) J)) 7.367 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 7.367 * [taylor]: Taking taylor expansion of -2 in J 7.367 * [backup-simplify]: Simplify -2 into -2 7.367 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 7.367 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.367 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.367 * [taylor]: Taking taylor expansion of -1/2 in J 7.367 * [backup-simplify]: Simplify -1/2 into -1/2 7.367 * [taylor]: Taking taylor expansion of K in J 7.367 * [backup-simplify]: Simplify K into K 7.367 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.367 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.367 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.367 * [taylor]: Taking taylor expansion of J in J 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 1 into 1 7.367 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.367 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.368 * [backup-simplify]: Simplify (- 0) into 0 7.368 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.368 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.368 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 7.368 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 7.368 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 7.369 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 7.369 * [taylor]: Taking taylor expansion of 0 in J 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify (+ 0) into 0 7.370 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.370 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.371 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.372 * [backup-simplify]: Simplify (- 0) into 0 7.372 * [backup-simplify]: Simplify (+ 0 0) into 0 7.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 7.374 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.375 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 7.375 * [taylor]: Taking taylor expansion of 0 in J 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify 0 into 0 7.376 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.377 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.378 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.378 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.379 * [backup-simplify]: Simplify (- 0) into 0 7.379 * [backup-simplify]: Simplify (+ 0 0) into 0 7.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.382 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.382 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.383 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 7.383 * [taylor]: Taking taylor expansion of 0 in J 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.386 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.387 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.388 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.389 * [backup-simplify]: Simplify (- 0) into 0 7.389 * [backup-simplify]: Simplify (+ 0 0) into 0 7.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.392 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 7.392 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 7.393 * * * [progress]: simplifying candidates 7.393 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 7.393 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 7.393 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 7.393 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 7.393 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 7.393 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 7.393 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 7.393 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 7.394 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 7.394 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 7.394 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 7.394 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 7.394 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 7.394 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 7.394 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 7.394 * * * * [progress]: [ 16 / 143 ] simplifiying candidate # 7.394 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 7.394 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 7.394 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 7.395 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 7.395 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 7.395 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 7.395 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 7.395 * * * * [progress]: [ 24 / 143 ] simplifiying candidate #real (real->posit16 (* (* -2 J) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (cos (/ K 2)))))))> 7.395 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 7.395 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 7.395 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 7.395 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 7.395 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 7.395 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 7.395 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 7.396 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 7.396 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 7.396 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 7.396 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 7.396 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 7.396 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 7.396 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 7.396 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 7.396 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 7.396 * * * * [progress]: [ 41 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (cos (/ K 2)))))> 7.396 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 7.396 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 7.397 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 7.397 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 7.397 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 7.397 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 7.398 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 7.398 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 7.398 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 7.398 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 7.398 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 7.398 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 7.398 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 7.398 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 7.398 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 7.398 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 7.399 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 7.399 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 7.399 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 7.399 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 7.399 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 7.399 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 7.399 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 7.399 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 7.399 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 7.399 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 7.399 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 7.400 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 7.400 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 7.400 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 7.401 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 7.401 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 7.401 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 7.401 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 7.401 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 7.401 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 7.401 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 7.401 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 7.401 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 7.402 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 7.403 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 7.404 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 7.404 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 7.404 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 7.404 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 7.404 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 7.404 * * * * [progress]: [ 111 / 143 ] simplifiying candidate #real (real->posit16 (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> 7.404 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 7.404 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 7.404 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 7.405 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 7.405 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 7.405 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 7.405 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 7.405 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 7.405 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> 7.406 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 7.406 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 7.407 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 7.407 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 7.407 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 7.407 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 7.407 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 7.408 * [simplify]: Simplifying: (* (* -2 J) (* (sqrt (+ (* (/ U (* (* (cos (/ K 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(* (cos (* 1/2 K)) J)) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (- (* 2 J) (* 1/4 (* (pow K 2) J))) (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J)) 7.412 * * [simplify]: iteration 0: 237 enodes 7.507 * * [simplify]: iteration 1: 712 enodes 8.184 * * [simplify]: iteration 2: 3237 enodes 9.304 * * [simplify]: iteration complete: 5003 enodes 9.304 * * [simplify]: Extracting #0: cost 79 inf + 0 9.306 * * [simplify]: Extracting #1: cost 862 inf + 3 9.316 * * [simplify]: Extracting #2: cost 1894 inf + 1344 9.330 * * [simplify]: Extracting #3: cost 1794 inf + 22714 9.342 * * [simplify]: Extracting #4: cost 1602 inf + 51305 9.398 * * [simplify]: Extracting #5: cost 972 inf + 233637 9.504 * * [simplify]: Extracting #6: cost 266 inf + 479766 9.656 * * [simplify]: Extracting #7: cost 28 inf + 574170 9.844 * * [simplify]: Extracting #8: cost 0 inf + 575699 9.993 * * [simplify]: Extracting #9: cost 0 inf + 571566 10.151 * * [simplify]: Extracting #10: cost 0 inf + 571485 10.325 * [simplify]: Simplified to: (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2))) (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2))) (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2))) (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2))) (log (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2)))) (log (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2)))) (log (* (* 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(cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) -1)) 1/2 (sqrt (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (sqrt (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (real->posit16 (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 2 (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 2 (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* 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2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (cbrt (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J))) (cbrt (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (cbrt (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (fabs (/ (/ U (* (cos (/ K 2)) 2)) J)) (fabs (/ (/ U (* (cos (/ K 2)) 2)) J)) (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (cbrt (/ (/ U (* (cos (/ K 2)) 2)) J)) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (cbrt (/ (/ U (* (cos (/ K 2)) 2)) J)) (cbrt (/ (/ U (* (cos (/ K 2)) 2)) J))) (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J) (* (/ (* (cbrt U) (cbrt U)) (* 2 (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* 2 (cos (/ K 2))))) (* (/ (cbrt U) J) (/ (cbrt U) J)) (/ (/ U (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2)) (/ (/ U J) J) (* (/ 1 (* 2 (cos (/ K 2)))) (/ 1 (* 2 (cos (/ K 2))))) (* (/ U J) (/ U J)) 1 (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* U U) (/ (/ 1 (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J) 2 (* (* (cbrt (/ (/ U (* (cos (/ K 2)) 2)) J)) (cbrt (/ (/ U (* (cos (/ K 2)) 2)) J))) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (sqrt (/ (/ U (* (cos (/ K 2)) 2)) J))) (/ (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (* (cos (/ K 2)) 2) (* (cbrt U) (cbrt U)))) (/ (/ (* U (sqrt U)) (* (cos (/ K 2)) 2)) (* (* (cos (/ K 2)) 2) J)) (/ (/ (/ U (* (cos (/ K 2)) 2)) J) (* (cos (/ K 2)) 2)) (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (* (cbrt (/ (/ U (* (cos (/ K 2)) 2)) J)) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (sqrt (/ (/ U (* (cos (/ K 2)) 2)) J))) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ U (* 2 J))) (* (/ (sqrt U) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ U J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (/ (/ (/ U (* (cos (/ K 2)) 2)) J) (* (* (cos (/ K 2)) 2) J)) (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (real->posit16 (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J))) (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J) (log (* (* (cos (/ K 2)) 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)) (* 2 (* (cbrt J) (cbrt J)))) (* (* (cos (/ K 2)) 2) (sqrt J)) (* (cos (/ K 2)) 2) (* J 2) (real->posit16 (* (* (cos (/ K 2)) 2) J)) (- U) (* (* -2 J) (cos (* 1/2 K))) (* (* -2 J) (cos (* 1/2 K))) 1 (/ (/ (* U 1/2) J) (cos (* 1/2 K))) (/ (/ (* U 1/2) J) (cos (* 1/2 K))) (+ (/ (* (* 1/96 (* U U)) (* (* K K) (* K K))) (* J J)) (+ (* 1/4 (* (/ U J) (/ U J))) (/ (* 1/16 (* K K)) (/ (* J J) (* U U))))) (/ (* 1/4 (* (/ U J) (/ U J))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) (/ (* 1/4 (* (/ U J) (/ U J))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) (* J (- 2 (* (* K K) 1/4))) (* (cos (* 1/2 K)) (* J 2)) (* (cos (* 1/2 K)) (* J 2)) 10.356 * * * [progress]: adding candidates to table 10.992 * * [progress]: iteration 3 / 4 10.992 * * * [progress]: picking best candidate 11.048 * * * * [pick]: Picked # 11.048 * * * [progress]: localizing error 11.113 * * * [progress]: generating rewritten candidates 11.113 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 11.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 11.335 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 11.415 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 11.487 * * * [progress]: generating series expansions 11.487 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.487 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 11.487 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 11.487 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 11.487 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 11.487 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 11.487 * [taylor]: Taking taylor expansion of 1/4 in K 11.487 * [backup-simplify]: Simplify 1/4 into 1/4 11.487 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.487 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.487 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.487 * [taylor]: Taking taylor expansion of 1/4 in K 11.487 * [backup-simplify]: Simplify 1/4 into 1/4 11.487 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.487 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.487 * [taylor]: Taking taylor expansion of U in K 11.487 * [backup-simplify]: Simplify U into U 11.487 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.488 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.488 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.488 * [taylor]: Taking taylor expansion of 1/2 in K 11.488 * [backup-simplify]: Simplify 1/2 into 1/2 11.488 * [taylor]: Taking taylor expansion of K in K 11.488 * [backup-simplify]: Simplify 0 into 0 11.488 * [backup-simplify]: Simplify 1 into 1 11.488 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.489 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.489 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.489 * [taylor]: Taking taylor expansion of J in K 11.489 * [backup-simplify]: Simplify J into J 11.489 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.489 * [backup-simplify]: Simplify (* 1 1) into 1 11.489 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.489 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.489 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.489 * [taylor]: Taking taylor expansion of 1 in K 11.489 * [backup-simplify]: Simplify 1 into 1 11.489 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.489 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.490 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.490 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 11.490 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 11.490 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 11.490 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 11.490 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 11.490 * [taylor]: Taking taylor expansion of 1/4 in J 11.490 * [backup-simplify]: Simplify 1/4 into 1/4 11.490 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.490 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.490 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.490 * [taylor]: Taking taylor expansion of 1/4 in J 11.490 * [backup-simplify]: Simplify 1/4 into 1/4 11.490 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.490 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.490 * [taylor]: Taking taylor expansion of U in J 11.490 * [backup-simplify]: Simplify U into U 11.490 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.490 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.490 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.490 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.490 * [taylor]: Taking taylor expansion of 1/2 in J 11.490 * [backup-simplify]: Simplify 1/2 into 1/2 11.490 * [taylor]: Taking taylor expansion of K in J 11.490 * [backup-simplify]: Simplify K into K 11.490 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.491 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.491 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.491 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.491 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.491 * [backup-simplify]: Simplify (- 0) into 0 11.491 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.491 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.491 * [taylor]: Taking taylor expansion of J in J 11.491 * [backup-simplify]: Simplify 0 into 0 11.491 * [backup-simplify]: Simplify 1 into 1 11.491 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.491 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.491 * [backup-simplify]: Simplify (* 1 1) into 1 11.491 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.492 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.492 * [taylor]: Taking taylor expansion of 1 in J 11.492 * [backup-simplify]: Simplify 1 into 1 11.492 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.492 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.492 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 11.492 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 11.493 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 11.493 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 11.493 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 11.493 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.493 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.493 * [taylor]: Taking taylor expansion of 1/4 in U 11.493 * [backup-simplify]: Simplify 1/4 into 1/4 11.493 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.493 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.493 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.493 * [taylor]: Taking taylor expansion of 1/4 in U 11.493 * [backup-simplify]: Simplify 1/4 into 1/4 11.493 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.493 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.493 * [taylor]: Taking taylor expansion of U in U 11.493 * [backup-simplify]: Simplify 0 into 0 11.493 * [backup-simplify]: Simplify 1 into 1 11.493 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.493 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.493 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.493 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.493 * [taylor]: Taking taylor expansion of 1/2 in U 11.493 * [backup-simplify]: Simplify 1/2 into 1/2 11.493 * [taylor]: Taking taylor expansion of K in U 11.493 * [backup-simplify]: Simplify K into K 11.493 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.493 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.493 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.493 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.493 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.494 * [backup-simplify]: Simplify (- 0) into 0 11.494 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.494 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.494 * [taylor]: Taking taylor expansion of J in U 11.494 * [backup-simplify]: Simplify J into J 11.494 * [backup-simplify]: Simplify (* 1 1) into 1 11.494 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.494 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.494 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.494 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.494 * [taylor]: Taking taylor expansion of 1 in U 11.494 * [backup-simplify]: Simplify 1 into 1 11.495 * [backup-simplify]: Simplify (+ 0 1) into 1 11.495 * [backup-simplify]: Simplify (log 1) into 0 11.495 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.496 * [backup-simplify]: Simplify (+ 0 0) into 0 11.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.497 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.498 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.498 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.499 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.499 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.499 * [backup-simplify]: Simplify (exp 0) into 1 11.499 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 11.500 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.500 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.500 * [taylor]: Taking taylor expansion of 1/4 in U 11.500 * [backup-simplify]: Simplify 1/4 into 1/4 11.500 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.500 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.500 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.500 * [taylor]: Taking taylor expansion of 1/4 in U 11.500 * [backup-simplify]: Simplify 1/4 into 1/4 11.500 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.500 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.500 * [taylor]: Taking taylor expansion of U in U 11.500 * [backup-simplify]: Simplify 0 into 0 11.500 * [backup-simplify]: Simplify 1 into 1 11.500 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.500 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.500 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.500 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.500 * [taylor]: Taking taylor expansion of 1/2 in U 11.500 * [backup-simplify]: Simplify 1/2 into 1/2 11.500 * [taylor]: Taking taylor expansion of K in U 11.500 * [backup-simplify]: Simplify K into K 11.500 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.500 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.500 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.500 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.500 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.500 * [backup-simplify]: Simplify (- 0) into 0 11.500 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.500 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.500 * [taylor]: Taking taylor expansion of J in U 11.500 * [backup-simplify]: Simplify J into J 11.501 * [backup-simplify]: Simplify (* 1 1) into 1 11.501 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.501 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.501 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.501 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.501 * [taylor]: Taking taylor expansion of 1 in U 11.501 * [backup-simplify]: Simplify 1 into 1 11.501 * [backup-simplify]: Simplify (+ 0 1) into 1 11.502 * [backup-simplify]: Simplify (log 1) into 0 11.502 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.502 * [backup-simplify]: Simplify (+ 0 0) into 0 11.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.503 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.503 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.505 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.505 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.505 * [backup-simplify]: Simplify (exp 0) into 1 11.505 * [taylor]: Taking taylor expansion of 1 in J 11.505 * [backup-simplify]: Simplify 1 into 1 11.505 * [taylor]: Taking taylor expansion of 1 in K 11.505 * [backup-simplify]: Simplify 1 into 1 11.505 * [backup-simplify]: Simplify 1 into 1 11.506 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 11.506 * [taylor]: Taking taylor expansion of 0 in J 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [taylor]: Taking taylor expansion of 0 in K 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [taylor]: Taking taylor expansion of 0 in K 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [backup-simplify]: Simplify 0 into 0 11.507 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.507 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.507 * [taylor]: Taking taylor expansion of 1/16 in J 11.507 * [backup-simplify]: Simplify 1/16 into 1/16 11.507 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.507 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.507 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.507 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.507 * [taylor]: Taking taylor expansion of 1/2 in J 11.507 * [backup-simplify]: Simplify 1/2 into 1/2 11.507 * [taylor]: Taking taylor expansion of K in J 11.507 * [backup-simplify]: Simplify K into K 11.507 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.507 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.507 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.507 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.507 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.508 * [backup-simplify]: Simplify (- 0) into 0 11.508 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.508 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.508 * [taylor]: Taking taylor expansion of J in J 11.508 * [backup-simplify]: Simplify 0 into 0 11.508 * [backup-simplify]: Simplify 1 into 1 11.508 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.508 * [backup-simplify]: Simplify (* 1 1) into 1 11.508 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.508 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 11.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.509 * [backup-simplify]: Simplify (+ 0) into 0 11.509 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.511 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.511 * [backup-simplify]: Simplify (- 0) into 0 11.511 * [backup-simplify]: Simplify (+ 0 0) into 0 11.511 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.512 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.513 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.514 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.514 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.514 * [backup-simplify]: Simplify (- 0) into 0 11.515 * [backup-simplify]: Simplify (+ 0 0) into 0 11.515 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.516 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.517 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.517 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.517 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.517 * [taylor]: Taking taylor expansion of 0 in K 11.517 * [backup-simplify]: Simplify 0 into 0 11.517 * [backup-simplify]: Simplify 0 into 0 11.517 * [taylor]: Taking taylor expansion of 0 in K 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [taylor]: Taking taylor expansion of 0 in K 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify 1 into 1 11.518 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 11.518 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 11.518 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 11.518 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 11.518 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 11.518 * [taylor]: Taking taylor expansion of 1/4 in K 11.518 * [backup-simplify]: Simplify 1/4 into 1/4 11.518 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.518 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.518 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.519 * [taylor]: Taking taylor expansion of 1/4 in K 11.519 * [backup-simplify]: Simplify 1/4 into 1/4 11.519 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.519 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.519 * [taylor]: Taking taylor expansion of J in K 11.519 * [backup-simplify]: Simplify J into J 11.519 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.519 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.519 * [taylor]: Taking taylor expansion of U in K 11.519 * [backup-simplify]: Simplify U into U 11.519 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.519 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.519 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.519 * [taylor]: Taking taylor expansion of 1/2 in K 11.519 * [backup-simplify]: Simplify 1/2 into 1/2 11.519 * [taylor]: Taking taylor expansion of K in K 11.519 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify 1 into 1 11.519 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.520 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.520 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.520 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.520 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.520 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.520 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.520 * [taylor]: Taking taylor expansion of 1 in K 11.520 * [backup-simplify]: Simplify 1 into 1 11.521 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.521 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 11.521 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.522 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 11.522 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 11.522 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 11.522 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 11.522 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 11.522 * [taylor]: Taking taylor expansion of 1/4 in J 11.522 * [backup-simplify]: Simplify 1/4 into 1/4 11.522 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.522 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.523 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.523 * [taylor]: Taking taylor expansion of 1/4 in J 11.523 * [backup-simplify]: Simplify 1/4 into 1/4 11.523 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.523 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.523 * [taylor]: Taking taylor expansion of J in J 11.523 * [backup-simplify]: Simplify 0 into 0 11.523 * [backup-simplify]: Simplify 1 into 1 11.523 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.523 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.523 * [taylor]: Taking taylor expansion of U in J 11.523 * [backup-simplify]: Simplify U into U 11.523 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.523 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.523 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.523 * [taylor]: Taking taylor expansion of 1/2 in J 11.523 * [backup-simplify]: Simplify 1/2 into 1/2 11.523 * [taylor]: Taking taylor expansion of K in J 11.523 * [backup-simplify]: Simplify K into K 11.523 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.523 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.523 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.523 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.523 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.524 * [backup-simplify]: Simplify (- 0) into 0 11.524 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.524 * [backup-simplify]: Simplify (* 1 1) into 1 11.524 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.524 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.525 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.525 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.525 * [taylor]: Taking taylor expansion of 1 in J 11.525 * [backup-simplify]: Simplify 1 into 1 11.525 * [backup-simplify]: Simplify (+ 0 1) into 1 11.526 * [backup-simplify]: Simplify (log 1) into 0 11.526 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.526 * [backup-simplify]: Simplify (+ 0 0) into 0 11.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.528 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.529 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.529 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.532 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.532 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.532 * [backup-simplify]: Simplify (exp 0) into 1 11.532 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 11.532 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.533 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.533 * [taylor]: Taking taylor expansion of 1/4 in U 11.533 * [backup-simplify]: Simplify 1/4 into 1/4 11.533 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.533 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.533 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.533 * [taylor]: Taking taylor expansion of 1/4 in U 11.533 * [backup-simplify]: Simplify 1/4 into 1/4 11.533 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.533 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.533 * [taylor]: Taking taylor expansion of J in U 11.533 * [backup-simplify]: Simplify J into J 11.533 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.533 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.533 * [taylor]: Taking taylor expansion of U in U 11.533 * [backup-simplify]: Simplify 0 into 0 11.533 * [backup-simplify]: Simplify 1 into 1 11.533 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.533 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.533 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.533 * [taylor]: Taking taylor expansion of 1/2 in U 11.533 * [backup-simplify]: Simplify 1/2 into 1/2 11.533 * [taylor]: Taking taylor expansion of K in U 11.533 * [backup-simplify]: Simplify K into K 11.533 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.533 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.533 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.533 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.534 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.534 * [backup-simplify]: Simplify (- 0) into 0 11.534 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.534 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.534 * [backup-simplify]: Simplify (* 1 1) into 1 11.535 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.535 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.535 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.535 * [taylor]: Taking taylor expansion of 1 in U 11.535 * [backup-simplify]: Simplify 1 into 1 11.535 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.536 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.536 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.537 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.537 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.537 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.537 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 11.537 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.537 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.537 * [taylor]: Taking taylor expansion of 1/4 in U 11.537 * [backup-simplify]: Simplify 1/4 into 1/4 11.537 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.537 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.537 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.538 * [taylor]: Taking taylor expansion of 1/4 in U 11.538 * [backup-simplify]: Simplify 1/4 into 1/4 11.538 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.538 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.538 * [taylor]: Taking taylor expansion of J in U 11.538 * [backup-simplify]: Simplify J into J 11.538 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.538 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.538 * [taylor]: Taking taylor expansion of U in U 11.538 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify 1 into 1 11.538 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.538 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.538 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.538 * [taylor]: Taking taylor expansion of 1/2 in U 11.538 * [backup-simplify]: Simplify 1/2 into 1/2 11.538 * [taylor]: Taking taylor expansion of K in U 11.538 * [backup-simplify]: Simplify K into K 11.538 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.538 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.538 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.538 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.538 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.539 * [backup-simplify]: Simplify (- 0) into 0 11.539 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.539 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.539 * [backup-simplify]: Simplify (* 1 1) into 1 11.539 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.540 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.540 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.540 * [taylor]: Taking taylor expansion of 1 in U 11.540 * [backup-simplify]: Simplify 1 into 1 11.540 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.540 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.540 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.541 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.541 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.541 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.542 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.542 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.542 * [taylor]: Taking taylor expansion of 1/4 in J 11.542 * [backup-simplify]: Simplify 1/4 into 1/4 11.542 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.542 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.542 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.542 * [taylor]: Taking taylor expansion of 1/4 in J 11.542 * [backup-simplify]: Simplify 1/4 into 1/4 11.542 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.542 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.542 * [taylor]: Taking taylor expansion of J in J 11.542 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify 1 into 1 11.542 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.542 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.542 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.542 * [taylor]: Taking taylor expansion of 1/2 in J 11.542 * [backup-simplify]: Simplify 1/2 into 1/2 11.542 * [taylor]: Taking taylor expansion of K in J 11.542 * [backup-simplify]: Simplify K into K 11.542 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.542 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.542 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.542 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.542 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.543 * [backup-simplify]: Simplify (- 0) into 0 11.543 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.543 * [backup-simplify]: Simplify (* 1 1) into 1 11.543 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.543 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.544 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.544 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.544 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.544 * [taylor]: Taking taylor expansion of 2 in J 11.544 * [backup-simplify]: Simplify 2 into 2 11.544 * [taylor]: Taking taylor expansion of (log U) in J 11.544 * [taylor]: Taking taylor expansion of U in J 11.544 * [backup-simplify]: Simplify U into U 11.544 * [backup-simplify]: Simplify (log U) into (log U) 11.544 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.544 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.545 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.545 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.545 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.545 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.545 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.545 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.545 * [taylor]: Taking taylor expansion of 1/4 in K 11.545 * [backup-simplify]: Simplify 1/4 into 1/4 11.545 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.546 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 11.546 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.546 * [taylor]: Taking taylor expansion of 2 in K 11.546 * [backup-simplify]: Simplify 2 into 2 11.546 * [taylor]: Taking taylor expansion of (log J) in K 11.546 * [taylor]: Taking taylor expansion of J in K 11.546 * [backup-simplify]: Simplify J into J 11.546 * [backup-simplify]: Simplify (log J) into (log J) 11.546 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 11.546 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 11.546 * [taylor]: Taking taylor expansion of 1/4 in K 11.546 * [backup-simplify]: Simplify 1/4 into 1/4 11.546 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.546 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.546 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.546 * [taylor]: Taking taylor expansion of 1/2 in K 11.546 * [backup-simplify]: Simplify 1/2 into 1/2 11.546 * [taylor]: Taking taylor expansion of K in K 11.546 * [backup-simplify]: Simplify 0 into 0 11.546 * [backup-simplify]: Simplify 1 into 1 11.546 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.546 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.547 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.547 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.547 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.547 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.547 * [taylor]: Taking taylor expansion of 2 in K 11.547 * [backup-simplify]: Simplify 2 into 2 11.547 * [taylor]: Taking taylor expansion of (log U) in K 11.547 * [taylor]: Taking taylor expansion of U in K 11.547 * [backup-simplify]: Simplify U into U 11.547 * [backup-simplify]: Simplify (log U) into (log U) 11.547 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.547 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.547 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.547 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.548 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.548 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.548 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.548 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.549 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.549 * [backup-simplify]: Simplify (+ 0) into 0 11.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.550 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.551 * [backup-simplify]: Simplify (- 0) into 0 11.552 * [backup-simplify]: Simplify (+ 0 0) into 0 11.552 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.553 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.558 * [backup-simplify]: Simplify (+ 0 0) into 0 11.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.559 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.560 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.561 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.561 * [taylor]: Taking taylor expansion of 0 in J 11.561 * [backup-simplify]: Simplify 0 into 0 11.561 * [taylor]: Taking taylor expansion of 0 in K 11.561 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.562 * [backup-simplify]: Simplify (+ 0) into 0 11.563 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.563 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.564 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.564 * [backup-simplify]: Simplify (- 0) into 0 11.565 * [backup-simplify]: Simplify (+ 0 0) into 0 11.565 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.565 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.566 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.567 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.568 * [backup-simplify]: Simplify (- 0) into 0 11.568 * [backup-simplify]: Simplify (+ 0 0) into 0 11.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.570 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.570 * [taylor]: Taking taylor expansion of 0 in K 11.570 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.571 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.571 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.571 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.572 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.572 * [backup-simplify]: Simplify (+ 0 0) into 0 11.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.574 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.574 * [backup-simplify]: Simplify (- 0) into 0 11.574 * [backup-simplify]: Simplify (+ 0 0) into 0 11.575 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.576 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.576 * [backup-simplify]: Simplify 0 into 0 11.576 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.577 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.578 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.578 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.579 * [backup-simplify]: Simplify (- 0) into 0 11.580 * [backup-simplify]: Simplify (+ 0 0) into 0 11.580 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.582 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.583 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.583 * [backup-simplify]: Simplify (+ 0 1) into 1 11.585 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.586 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.586 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 11.588 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 11.588 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 11.588 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 11.588 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.588 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.588 * [taylor]: Taking taylor expansion of 1/4 in J 11.588 * [backup-simplify]: Simplify 1/4 into 1/4 11.588 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.588 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.588 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.588 * [taylor]: Taking taylor expansion of 1/4 in J 11.588 * [backup-simplify]: Simplify 1/4 into 1/4 11.588 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.588 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.588 * [taylor]: Taking taylor expansion of J in J 11.588 * [backup-simplify]: Simplify 0 into 0 11.588 * [backup-simplify]: Simplify 1 into 1 11.588 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.588 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.588 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.588 * [taylor]: Taking taylor expansion of 1/2 in J 11.588 * [backup-simplify]: Simplify 1/2 into 1/2 11.588 * [taylor]: Taking taylor expansion of K in J 11.588 * [backup-simplify]: Simplify K into K 11.588 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.588 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.588 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.588 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.588 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.589 * [backup-simplify]: Simplify (- 0) into 0 11.589 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.589 * [backup-simplify]: Simplify (* 1 1) into 1 11.589 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.589 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.590 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.590 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.590 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.590 * [taylor]: Taking taylor expansion of 2 in J 11.590 * [backup-simplify]: Simplify 2 into 2 11.590 * [taylor]: Taking taylor expansion of (log U) in J 11.590 * [taylor]: Taking taylor expansion of U in J 11.590 * [backup-simplify]: Simplify U into U 11.590 * [backup-simplify]: Simplify (log U) into (log U) 11.590 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.591 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.591 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.591 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.591 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.591 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.591 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.591 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.591 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.592 * [taylor]: Taking taylor expansion of 1/2 in J 11.592 * [backup-simplify]: Simplify 1/2 into 1/2 11.592 * [taylor]: Taking taylor expansion of K in J 11.592 * [backup-simplify]: Simplify K into K 11.592 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.592 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.592 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.592 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.592 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.592 * [backup-simplify]: Simplify (- 0) into 0 11.592 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.592 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.592 * [taylor]: Taking taylor expansion of J in J 11.592 * [backup-simplify]: Simplify 0 into 0 11.593 * [backup-simplify]: Simplify 1 into 1 11.593 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.593 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.593 * [backup-simplify]: Simplify (* 1 1) into 1 11.594 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.594 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.595 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.595 * [backup-simplify]: Simplify (+ 0) into 0 11.596 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.596 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.597 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.598 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.598 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.598 * [backup-simplify]: Simplify (- 0) into 0 11.599 * [backup-simplify]: Simplify (+ 0 0) into 0 11.599 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.600 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.600 * [backup-simplify]: Simplify (- 0) into 0 11.600 * [backup-simplify]: Simplify (+ 0 0) into 0 11.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.602 * [backup-simplify]: Simplify (+ 0) into 0 11.602 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.602 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.603 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.604 * [backup-simplify]: Simplify (- 0) into 0 11.604 * [backup-simplify]: Simplify (+ 0 0) into 0 11.604 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.604 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.605 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.607 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.607 * [backup-simplify]: Simplify (- 0) into 0 11.607 * [backup-simplify]: Simplify (+ 0 0) into 0 11.608 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.609 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.611 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.611 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.612 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.612 * [backup-simplify]: Simplify (- 0) into 0 11.612 * [backup-simplify]: Simplify (+ 0 0) into 0 11.613 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.613 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.613 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.615 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.616 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.616 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.616 * [backup-simplify]: Simplify (- 0) into 0 11.617 * [backup-simplify]: Simplify (+ 0 0) into 0 11.617 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.618 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.619 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.619 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 11.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.622 * [taylor]: Taking taylor expansion of 0 in K 11.622 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify 0 into 0 11.622 * [taylor]: Taking taylor expansion of 0 in K 11.622 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify 0 into 0 11.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.623 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.624 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.624 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.624 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.625 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.625 * [backup-simplify]: Simplify (- 0) into 0 11.625 * [backup-simplify]: Simplify (+ 0 0) into 0 11.625 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.626 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.628 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.629 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.629 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.629 * [backup-simplify]: Simplify (- 0) into 0 11.630 * [backup-simplify]: Simplify (+ 0 0) into 0 11.630 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.631 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.631 * [taylor]: Taking taylor expansion of 0 in K 11.631 * [backup-simplify]: Simplify 0 into 0 11.631 * [backup-simplify]: Simplify 0 into 0 11.631 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 11.632 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 11.632 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0 11.632 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 11.632 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 11.632 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 11.632 * [taylor]: Taking taylor expansion of 1/4 in K 11.632 * [backup-simplify]: Simplify 1/4 into 1/4 11.632 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.632 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.632 * [taylor]: Taking taylor expansion of 1 in K 11.632 * [backup-simplify]: Simplify 1 into 1 11.632 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.632 * [taylor]: Taking taylor expansion of 1/4 in K 11.632 * [backup-simplify]: Simplify 1/4 into 1/4 11.632 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.632 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.632 * [taylor]: Taking taylor expansion of J in K 11.632 * [backup-simplify]: Simplify J into J 11.632 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.632 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.632 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.632 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.632 * [taylor]: Taking taylor expansion of -1/2 in K 11.632 * [backup-simplify]: Simplify -1/2 into -1/2 11.632 * [taylor]: Taking taylor expansion of K in K 11.632 * [backup-simplify]: Simplify 0 into 0 11.632 * [backup-simplify]: Simplify 1 into 1 11.632 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.633 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.633 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.633 * [taylor]: Taking taylor expansion of U in K 11.633 * [backup-simplify]: Simplify U into U 11.633 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.633 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.633 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.633 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.633 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.633 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.633 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 11.634 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.634 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 11.634 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 11.634 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 11.634 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 11.634 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 11.634 * [taylor]: Taking taylor expansion of 1/4 in J 11.634 * [backup-simplify]: Simplify 1/4 into 1/4 11.634 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.634 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.634 * [taylor]: Taking taylor expansion of 1 in J 11.634 * [backup-simplify]: Simplify 1 into 1 11.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.634 * [taylor]: Taking taylor expansion of 1/4 in J 11.634 * [backup-simplify]: Simplify 1/4 into 1/4 11.634 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.634 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.634 * [taylor]: Taking taylor expansion of J in J 11.634 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify 1 into 1 11.634 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.634 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.634 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.634 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.634 * [taylor]: Taking taylor expansion of -1/2 in J 11.634 * [backup-simplify]: Simplify -1/2 into -1/2 11.634 * [taylor]: Taking taylor expansion of K in J 11.634 * [backup-simplify]: Simplify K into K 11.635 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.635 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.635 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.635 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.635 * [backup-simplify]: Simplify (- 0) into 0 11.635 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.635 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.635 * [taylor]: Taking taylor expansion of U in J 11.635 * [backup-simplify]: Simplify U into U 11.635 * [backup-simplify]: Simplify (* 1 1) into 1 11.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.636 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.636 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.636 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.636 * [backup-simplify]: Simplify (+ 1 0) into 1 11.636 * [backup-simplify]: Simplify (log 1) into 0 11.636 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.637 * [backup-simplify]: Simplify (+ 0 0) into 0 11.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.638 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.638 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.638 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.639 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.640 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.640 * [backup-simplify]: Simplify (exp 0) into 1 11.640 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 11.640 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.640 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.640 * [taylor]: Taking taylor expansion of 1/4 in U 11.640 * [backup-simplify]: Simplify 1/4 into 1/4 11.640 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.640 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.640 * [taylor]: Taking taylor expansion of 1 in U 11.640 * [backup-simplify]: Simplify 1 into 1 11.640 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.640 * [taylor]: Taking taylor expansion of 1/4 in U 11.640 * [backup-simplify]: Simplify 1/4 into 1/4 11.640 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.640 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.640 * [taylor]: Taking taylor expansion of J in U 11.640 * [backup-simplify]: Simplify J into J 11.640 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.640 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.640 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.640 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.640 * [taylor]: Taking taylor expansion of -1/2 in U 11.640 * [backup-simplify]: Simplify -1/2 into -1/2 11.640 * [taylor]: Taking taylor expansion of K in U 11.640 * [backup-simplify]: Simplify K into K 11.640 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.640 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.640 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.640 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.641 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.641 * [backup-simplify]: Simplify (- 0) into 0 11.641 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.641 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.641 * [taylor]: Taking taylor expansion of U in U 11.641 * [backup-simplify]: Simplify 0 into 0 11.641 * [backup-simplify]: Simplify 1 into 1 11.641 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.641 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.641 * [backup-simplify]: Simplify (* 1 1) into 1 11.641 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.641 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.642 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.642 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.642 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.642 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.642 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.643 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.643 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 11.643 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.643 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.643 * [taylor]: Taking taylor expansion of 1/4 in U 11.643 * [backup-simplify]: Simplify 1/4 into 1/4 11.643 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.643 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.643 * [taylor]: Taking taylor expansion of 1 in U 11.643 * [backup-simplify]: Simplify 1 into 1 11.643 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.643 * [taylor]: Taking taylor expansion of 1/4 in U 11.643 * [backup-simplify]: Simplify 1/4 into 1/4 11.643 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.643 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.643 * [taylor]: Taking taylor expansion of J in U 11.643 * [backup-simplify]: Simplify J into J 11.643 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.643 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.643 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.643 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.643 * [taylor]: Taking taylor expansion of -1/2 in U 11.643 * [backup-simplify]: Simplify -1/2 into -1/2 11.643 * [taylor]: Taking taylor expansion of K in U 11.643 * [backup-simplify]: Simplify K into K 11.643 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.643 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.643 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.643 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.643 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.643 * [backup-simplify]: Simplify (- 0) into 0 11.644 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.644 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.644 * [taylor]: Taking taylor expansion of U in U 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.644 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.644 * [backup-simplify]: Simplify (* 1 1) into 1 11.644 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.644 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.644 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.644 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.645 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.645 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.645 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.645 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.645 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.645 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.645 * [taylor]: Taking taylor expansion of 1/4 in J 11.645 * [backup-simplify]: Simplify 1/4 into 1/4 11.645 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.645 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.646 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.646 * [taylor]: Taking taylor expansion of 1/4 in J 11.646 * [backup-simplify]: Simplify 1/4 into 1/4 11.646 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.646 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.646 * [taylor]: Taking taylor expansion of J in J 11.646 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify 1 into 1 11.646 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.646 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.646 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.646 * [taylor]: Taking taylor expansion of -1/2 in J 11.646 * [backup-simplify]: Simplify -1/2 into -1/2 11.646 * [taylor]: Taking taylor expansion of K in J 11.646 * [backup-simplify]: Simplify K into K 11.646 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.646 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.646 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.646 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.646 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.646 * [backup-simplify]: Simplify (- 0) into 0 11.646 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.647 * [backup-simplify]: Simplify (* 1 1) into 1 11.647 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.647 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.647 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.647 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.647 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.647 * [taylor]: Taking taylor expansion of 2 in J 11.647 * [backup-simplify]: Simplify 2 into 2 11.647 * [taylor]: Taking taylor expansion of (log U) in J 11.647 * [taylor]: Taking taylor expansion of U in J 11.647 * [backup-simplify]: Simplify U into U 11.647 * [backup-simplify]: Simplify (log U) into (log U) 11.647 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.647 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.648 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.648 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.648 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.648 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.648 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.648 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.648 * [taylor]: Taking taylor expansion of 1/4 in K 11.648 * [backup-simplify]: Simplify 1/4 into 1/4 11.648 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.648 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 11.648 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.648 * [taylor]: Taking taylor expansion of 2 in K 11.648 * [backup-simplify]: Simplify 2 into 2 11.648 * [taylor]: Taking taylor expansion of (log J) in K 11.648 * [taylor]: Taking taylor expansion of J in K 11.648 * [backup-simplify]: Simplify J into J 11.648 * [backup-simplify]: Simplify (log J) into (log J) 11.648 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 11.648 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 11.648 * [taylor]: Taking taylor expansion of 1/4 in K 11.648 * [backup-simplify]: Simplify 1/4 into 1/4 11.648 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.648 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.648 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.648 * [taylor]: Taking taylor expansion of -1/2 in K 11.648 * [backup-simplify]: Simplify -1/2 into -1/2 11.648 * [taylor]: Taking taylor expansion of K in K 11.648 * [backup-simplify]: Simplify 0 into 0 11.648 * [backup-simplify]: Simplify 1 into 1 11.649 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.649 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.649 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.649 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.649 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.649 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.649 * [taylor]: Taking taylor expansion of 2 in K 11.649 * [backup-simplify]: Simplify 2 into 2 11.649 * [taylor]: Taking taylor expansion of (log U) in K 11.649 * [taylor]: Taking taylor expansion of U in K 11.649 * [backup-simplify]: Simplify U into U 11.649 * [backup-simplify]: Simplify (log U) into (log U) 11.649 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.649 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.649 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.650 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.650 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.650 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.650 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.650 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.650 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.651 * [backup-simplify]: Simplify (+ 0) into 0 11.651 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.652 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.652 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.653 * [backup-simplify]: Simplify (- 0) into 0 11.653 * [backup-simplify]: Simplify (+ 0 0) into 0 11.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.653 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.653 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.654 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.654 * [backup-simplify]: Simplify (+ 0 0) into 0 11.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.656 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.656 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.657 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.657 * [taylor]: Taking taylor expansion of 0 in J 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [taylor]: Taking taylor expansion of 0 in K 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify 0 into 0 11.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.658 * [backup-simplify]: Simplify (+ 0) into 0 11.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.659 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.660 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.660 * [backup-simplify]: Simplify (- 0) into 0 11.661 * [backup-simplify]: Simplify (+ 0 0) into 0 11.661 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.661 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.663 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.664 * [backup-simplify]: Simplify (- 0) into 0 11.664 * [backup-simplify]: Simplify (+ 0 0) into 0 11.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.666 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.666 * [taylor]: Taking taylor expansion of 0 in K 11.666 * [backup-simplify]: Simplify 0 into 0 11.666 * [backup-simplify]: Simplify 0 into 0 11.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.667 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.667 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.672 * [backup-simplify]: Simplify (+ 0 0) into 0 11.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.674 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.674 * [backup-simplify]: Simplify (- 0) into 0 11.675 * [backup-simplify]: Simplify (+ 0 0) into 0 11.675 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.676 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.676 * [backup-simplify]: Simplify 0 into 0 11.677 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.680 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.680 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.680 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.681 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.681 * [backup-simplify]: Simplify (- 0) into 0 11.682 * [backup-simplify]: Simplify (+ 0 0) into 0 11.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.683 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.683 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.683 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.684 * [backup-simplify]: Simplify (+ 1 0) into 1 11.685 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.685 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.686 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 11.687 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 11.687 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 11.687 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 11.687 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.687 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.687 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.687 * [taylor]: Taking taylor expansion of -1/2 in J 11.687 * [backup-simplify]: Simplify -1/2 into -1/2 11.687 * [taylor]: Taking taylor expansion of K in J 11.687 * [backup-simplify]: Simplify K into K 11.687 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.687 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.687 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.687 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.687 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.687 * [backup-simplify]: Simplify (- 0) into 0 11.687 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.687 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.687 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.687 * [taylor]: Taking taylor expansion of 1/4 in J 11.687 * [backup-simplify]: Simplify 1/4 into 1/4 11.687 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.687 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.687 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.687 * [taylor]: Taking taylor expansion of 1/4 in J 11.687 * [backup-simplify]: Simplify 1/4 into 1/4 11.687 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.687 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.688 * [taylor]: Taking taylor expansion of J in J 11.688 * [backup-simplify]: Simplify 0 into 0 11.688 * [backup-simplify]: Simplify 1 into 1 11.688 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.688 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.688 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.688 * [taylor]: Taking taylor expansion of -1/2 in J 11.688 * [backup-simplify]: Simplify -1/2 into -1/2 11.688 * [taylor]: Taking taylor expansion of K in J 11.688 * [backup-simplify]: Simplify K into K 11.688 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.688 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.688 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.688 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.688 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.688 * [backup-simplify]: Simplify (- 0) into 0 11.688 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.688 * [backup-simplify]: Simplify (* 1 1) into 1 11.688 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.689 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.689 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.689 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.689 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.689 * [taylor]: Taking taylor expansion of 2 in J 11.689 * [backup-simplify]: Simplify 2 into 2 11.689 * [taylor]: Taking taylor expansion of (log U) in J 11.689 * [taylor]: Taking taylor expansion of U in J 11.689 * [backup-simplify]: Simplify U into U 11.689 * [backup-simplify]: Simplify (log U) into (log U) 11.689 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.689 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.689 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.689 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.690 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.690 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.690 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.690 * [taylor]: Taking taylor expansion of J in J 11.690 * [backup-simplify]: Simplify 0 into 0 11.690 * [backup-simplify]: Simplify 1 into 1 11.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.690 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.690 * [backup-simplify]: Simplify (* 1 1) into 1 11.691 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.691 * [backup-simplify]: Simplify (+ 0) into 0 11.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.692 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.693 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.693 * [backup-simplify]: Simplify (- 0) into 0 11.693 * [backup-simplify]: Simplify (+ 0 0) into 0 11.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.693 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.694 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.695 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.695 * [backup-simplify]: Simplify (- 0) into 0 11.695 * [backup-simplify]: Simplify (+ 0 0) into 0 11.696 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.697 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.697 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.698 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.698 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.698 * [backup-simplify]: Simplify (- 0) into 0 11.699 * [backup-simplify]: Simplify (+ 0 0) into 0 11.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.699 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.700 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.701 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 11.702 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.703 * [backup-simplify]: Simplify (- 0) into 0 11.703 * [backup-simplify]: Simplify (+ 0 0) into 0 11.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.704 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.705 * [backup-simplify]: Simplify (+ 0) into 0 11.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.705 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.706 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.706 * [backup-simplify]: Simplify (- 0) into 0 11.706 * [backup-simplify]: Simplify (+ 0 0) into 0 11.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.707 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.707 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.708 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.709 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.709 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.709 * [backup-simplify]: Simplify (- 0) into 0 11.709 * [backup-simplify]: Simplify (+ 0 0) into 0 11.710 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.710 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 11.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.711 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 11.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 11.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.713 * [taylor]: Taking taylor expansion of 0 in K 11.713 * [backup-simplify]: Simplify 0 into 0 11.713 * [backup-simplify]: Simplify 0 into 0 11.713 * [taylor]: Taking taylor expansion of 0 in K 11.713 * [backup-simplify]: Simplify 0 into 0 11.713 * [backup-simplify]: Simplify 0 into 0 11.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.716 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.716 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.717 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.717 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.718 * [backup-simplify]: Simplify (- 0) into 0 11.718 * [backup-simplify]: Simplify (+ 0 0) into 0 11.719 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.719 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.720 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.722 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 11.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.725 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.725 * [backup-simplify]: Simplify (- 0) into 0 11.725 * [backup-simplify]: Simplify (+ 0 0) into 0 11.726 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.728 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.728 * [taylor]: Taking taylor expansion of 0 in K 11.728 * [backup-simplify]: Simplify 0 into 0 11.728 * [backup-simplify]: Simplify 0 into 0 11.729 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 11.729 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 11.729 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 11.729 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 11.729 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 11.729 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 11.729 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 11.729 * [taylor]: Taking taylor expansion of 1/4 in K 11.729 * [backup-simplify]: Simplify 1/4 into 1/4 11.729 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.729 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.729 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.729 * [taylor]: Taking taylor expansion of 1/4 in K 11.729 * [backup-simplify]: Simplify 1/4 into 1/4 11.729 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.730 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.730 * [taylor]: Taking taylor expansion of U in K 11.730 * [backup-simplify]: Simplify U into U 11.730 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.730 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.730 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.730 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.730 * [taylor]: Taking taylor expansion of 1/2 in K 11.730 * [backup-simplify]: Simplify 1/2 into 1/2 11.730 * [taylor]: Taking taylor expansion of K in K 11.730 * [backup-simplify]: Simplify 0 into 0 11.730 * [backup-simplify]: Simplify 1 into 1 11.730 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.731 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.731 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.731 * [taylor]: Taking taylor expansion of J in K 11.731 * [backup-simplify]: Simplify J into J 11.732 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.732 * [backup-simplify]: Simplify (* 1 1) into 1 11.732 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.732 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.732 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.732 * [taylor]: Taking taylor expansion of 1 in K 11.732 * [backup-simplify]: Simplify 1 into 1 11.732 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.733 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.733 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.733 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 11.734 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 11.734 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 11.734 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 11.734 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 11.734 * [taylor]: Taking taylor expansion of 1/4 in J 11.734 * [backup-simplify]: Simplify 1/4 into 1/4 11.734 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.734 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.734 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.734 * [taylor]: Taking taylor expansion of 1/4 in J 11.734 * [backup-simplify]: Simplify 1/4 into 1/4 11.734 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.734 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.734 * [taylor]: Taking taylor expansion of U in J 11.734 * [backup-simplify]: Simplify U into U 11.734 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.734 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.734 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.734 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.734 * [taylor]: Taking taylor expansion of 1/2 in J 11.734 * [backup-simplify]: Simplify 1/2 into 1/2 11.734 * [taylor]: Taking taylor expansion of K in J 11.734 * [backup-simplify]: Simplify K into K 11.734 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.734 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.734 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.735 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.735 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.735 * [backup-simplify]: Simplify (- 0) into 0 11.735 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.735 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.735 * [taylor]: Taking taylor expansion of J in J 11.735 * [backup-simplify]: Simplify 0 into 0 11.735 * [backup-simplify]: Simplify 1 into 1 11.735 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.735 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.736 * [backup-simplify]: Simplify (* 1 1) into 1 11.736 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.736 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.736 * [taylor]: Taking taylor expansion of 1 in J 11.736 * [backup-simplify]: Simplify 1 into 1 11.736 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.737 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.737 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 11.738 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 11.738 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 11.738 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 11.738 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 11.738 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.738 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.738 * [taylor]: Taking taylor expansion of 1/4 in U 11.738 * [backup-simplify]: Simplify 1/4 into 1/4 11.738 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.738 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.739 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.739 * [taylor]: Taking taylor expansion of 1/4 in U 11.739 * [backup-simplify]: Simplify 1/4 into 1/4 11.739 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.739 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.739 * [taylor]: Taking taylor expansion of U in U 11.739 * [backup-simplify]: Simplify 0 into 0 11.739 * [backup-simplify]: Simplify 1 into 1 11.739 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.739 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.739 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.739 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.739 * [taylor]: Taking taylor expansion of 1/2 in U 11.739 * [backup-simplify]: Simplify 1/2 into 1/2 11.739 * [taylor]: Taking taylor expansion of K in U 11.739 * [backup-simplify]: Simplify K into K 11.739 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.739 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.739 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.739 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.739 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.740 * [backup-simplify]: Simplify (- 0) into 0 11.740 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.740 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.740 * [taylor]: Taking taylor expansion of J in U 11.740 * [backup-simplify]: Simplify J into J 11.740 * [backup-simplify]: Simplify (* 1 1) into 1 11.740 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.740 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.740 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.741 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.741 * [taylor]: Taking taylor expansion of 1 in U 11.741 * [backup-simplify]: Simplify 1 into 1 11.741 * [backup-simplify]: Simplify (+ 0 1) into 1 11.742 * [backup-simplify]: Simplify (log 1) into 0 11.742 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.742 * [backup-simplify]: Simplify (+ 0 0) into 0 11.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.744 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.744 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.744 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.746 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.747 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.747 * [backup-simplify]: Simplify (exp 0) into 1 11.747 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 11.747 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.747 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.747 * [taylor]: Taking taylor expansion of 1/4 in U 11.747 * [backup-simplify]: Simplify 1/4 into 1/4 11.747 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.747 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.747 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.747 * [taylor]: Taking taylor expansion of 1/4 in U 11.747 * [backup-simplify]: Simplify 1/4 into 1/4 11.747 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.747 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.747 * [taylor]: Taking taylor expansion of U in U 11.747 * [backup-simplify]: Simplify 0 into 0 11.747 * [backup-simplify]: Simplify 1 into 1 11.747 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.747 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.747 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.747 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.747 * [taylor]: Taking taylor expansion of 1/2 in U 11.747 * [backup-simplify]: Simplify 1/2 into 1/2 11.747 * [taylor]: Taking taylor expansion of K in U 11.748 * [backup-simplify]: Simplify K into K 11.748 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.748 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.748 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.748 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.748 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.748 * [backup-simplify]: Simplify (- 0) into 0 11.748 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.748 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.748 * [taylor]: Taking taylor expansion of J in U 11.748 * [backup-simplify]: Simplify J into J 11.749 * [backup-simplify]: Simplify (* 1 1) into 1 11.749 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.749 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.749 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.749 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.749 * [taylor]: Taking taylor expansion of 1 in U 11.749 * [backup-simplify]: Simplify 1 into 1 11.750 * [backup-simplify]: Simplify (+ 0 1) into 1 11.750 * [backup-simplify]: Simplify (log 1) into 0 11.750 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.751 * [backup-simplify]: Simplify (+ 0 0) into 0 11.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.752 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.753 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.753 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.755 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.755 * [backup-simplify]: Simplify (exp 0) into 1 11.755 * [taylor]: Taking taylor expansion of 1 in J 11.755 * [backup-simplify]: Simplify 1 into 1 11.755 * [taylor]: Taking taylor expansion of 1 in K 11.755 * [backup-simplify]: Simplify 1 into 1 11.755 * [backup-simplify]: Simplify 1 into 1 11.756 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 11.756 * [taylor]: Taking taylor expansion of 0 in J 11.756 * [backup-simplify]: Simplify 0 into 0 11.757 * [taylor]: Taking taylor expansion of 0 in K 11.757 * [backup-simplify]: Simplify 0 into 0 11.757 * [backup-simplify]: Simplify 0 into 0 11.757 * [taylor]: Taking taylor expansion of 0 in K 11.757 * [backup-simplify]: Simplify 0 into 0 11.757 * [backup-simplify]: Simplify 0 into 0 11.757 * [backup-simplify]: Simplify 0 into 0 11.758 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.758 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.758 * [taylor]: Taking taylor expansion of 1/16 in J 11.758 * [backup-simplify]: Simplify 1/16 into 1/16 11.758 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.758 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.758 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.758 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.758 * [taylor]: Taking taylor expansion of 1/2 in J 11.758 * [backup-simplify]: Simplify 1/2 into 1/2 11.758 * [taylor]: Taking taylor expansion of K in J 11.758 * [backup-simplify]: Simplify K into K 11.758 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.758 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.758 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.758 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.758 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.759 * [backup-simplify]: Simplify (- 0) into 0 11.759 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.759 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.759 * [taylor]: Taking taylor expansion of J in J 11.759 * [backup-simplify]: Simplify 0 into 0 11.759 * [backup-simplify]: Simplify 1 into 1 11.759 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.759 * [backup-simplify]: Simplify (* 1 1) into 1 11.759 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.759 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 11.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.761 * [backup-simplify]: Simplify (+ 0) into 0 11.761 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.762 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.763 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.763 * [backup-simplify]: Simplify (- 0) into 0 11.763 * [backup-simplify]: Simplify (+ 0 0) into 0 11.764 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.765 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.766 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.767 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.768 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.768 * [backup-simplify]: Simplify (- 0) into 0 11.769 * [backup-simplify]: Simplify (+ 0 0) into 0 11.769 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.770 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.770 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.770 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.771 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.771 * [taylor]: Taking taylor expansion of 0 in K 11.771 * [backup-simplify]: Simplify 0 into 0 11.771 * [backup-simplify]: Simplify 0 into 0 11.771 * [taylor]: Taking taylor expansion of 0 in K 11.771 * [backup-simplify]: Simplify 0 into 0 11.771 * [backup-simplify]: Simplify 0 into 0 11.771 * [taylor]: Taking taylor expansion of 0 in K 11.771 * [backup-simplify]: Simplify 0 into 0 11.771 * [backup-simplify]: Simplify 0 into 0 11.771 * [backup-simplify]: Simplify 1 into 1 11.771 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 11.771 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 11.771 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 11.771 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 11.771 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 11.771 * [taylor]: Taking taylor expansion of 1/4 in K 11.771 * [backup-simplify]: Simplify 1/4 into 1/4 11.771 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.771 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.771 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.771 * [taylor]: Taking taylor expansion of 1/4 in K 11.771 * [backup-simplify]: Simplify 1/4 into 1/4 11.771 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.772 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.772 * [taylor]: Taking taylor expansion of J in K 11.772 * [backup-simplify]: Simplify J into J 11.772 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.772 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.772 * [taylor]: Taking taylor expansion of U in K 11.772 * [backup-simplify]: Simplify U into U 11.772 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.772 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.772 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.772 * [taylor]: Taking taylor expansion of 1/2 in K 11.772 * [backup-simplify]: Simplify 1/2 into 1/2 11.772 * [taylor]: Taking taylor expansion of K in K 11.772 * [backup-simplify]: Simplify 0 into 0 11.772 * [backup-simplify]: Simplify 1 into 1 11.772 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.772 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.772 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.772 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.772 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.772 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.772 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.772 * [taylor]: Taking taylor expansion of 1 in K 11.773 * [backup-simplify]: Simplify 1 into 1 11.773 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.773 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 11.773 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.773 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 11.774 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 11.774 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 11.774 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 11.774 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 11.774 * [taylor]: Taking taylor expansion of 1/4 in J 11.774 * [backup-simplify]: Simplify 1/4 into 1/4 11.774 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.774 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.774 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.774 * [taylor]: Taking taylor expansion of 1/4 in J 11.774 * [backup-simplify]: Simplify 1/4 into 1/4 11.774 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.774 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.774 * [taylor]: Taking taylor expansion of J in J 11.774 * [backup-simplify]: Simplify 0 into 0 11.774 * [backup-simplify]: Simplify 1 into 1 11.774 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.774 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.774 * [taylor]: Taking taylor expansion of U in J 11.774 * [backup-simplify]: Simplify U into U 11.774 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.774 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.774 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.774 * [taylor]: Taking taylor expansion of 1/2 in J 11.774 * [backup-simplify]: Simplify 1/2 into 1/2 11.774 * [taylor]: Taking taylor expansion of K in J 11.774 * [backup-simplify]: Simplify K into K 11.774 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.774 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.774 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.774 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.774 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.775 * [backup-simplify]: Simplify (- 0) into 0 11.775 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.775 * [backup-simplify]: Simplify (* 1 1) into 1 11.775 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.775 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.775 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.775 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.775 * [taylor]: Taking taylor expansion of 1 in J 11.775 * [backup-simplify]: Simplify 1 into 1 11.776 * [backup-simplify]: Simplify (+ 0 1) into 1 11.776 * [backup-simplify]: Simplify (log 1) into 0 11.776 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.776 * [backup-simplify]: Simplify (+ 0 0) into 0 11.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.777 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.778 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.778 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.779 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.779 * [backup-simplify]: Simplify (exp 0) into 1 11.779 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 11.780 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.780 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.780 * [taylor]: Taking taylor expansion of 1/4 in U 11.780 * [backup-simplify]: Simplify 1/4 into 1/4 11.780 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.780 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.780 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.780 * [taylor]: Taking taylor expansion of 1/4 in U 11.780 * [backup-simplify]: Simplify 1/4 into 1/4 11.780 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.780 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.780 * [taylor]: Taking taylor expansion of J in U 11.780 * [backup-simplify]: Simplify J into J 11.780 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.780 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.780 * [taylor]: Taking taylor expansion of U in U 11.780 * [backup-simplify]: Simplify 0 into 0 11.780 * [backup-simplify]: Simplify 1 into 1 11.780 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.780 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.780 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.780 * [taylor]: Taking taylor expansion of 1/2 in U 11.780 * [backup-simplify]: Simplify 1/2 into 1/2 11.780 * [taylor]: Taking taylor expansion of K in U 11.780 * [backup-simplify]: Simplify K into K 11.780 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.780 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.780 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.780 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.780 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.780 * [backup-simplify]: Simplify (- 0) into 0 11.780 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.780 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.781 * [backup-simplify]: Simplify (* 1 1) into 1 11.781 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.781 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.781 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.781 * [taylor]: Taking taylor expansion of 1 in U 11.781 * [backup-simplify]: Simplify 1 into 1 11.781 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.781 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.781 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.782 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.782 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.782 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.782 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 11.782 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.782 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.782 * [taylor]: Taking taylor expansion of 1/4 in U 11.782 * [backup-simplify]: Simplify 1/4 into 1/4 11.782 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.782 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.782 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.782 * [taylor]: Taking taylor expansion of 1/4 in U 11.782 * [backup-simplify]: Simplify 1/4 into 1/4 11.782 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.782 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.782 * [taylor]: Taking taylor expansion of J in U 11.782 * [backup-simplify]: Simplify J into J 11.782 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.782 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.782 * [taylor]: Taking taylor expansion of U in U 11.783 * [backup-simplify]: Simplify 0 into 0 11.783 * [backup-simplify]: Simplify 1 into 1 11.783 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.783 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.783 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.783 * [taylor]: Taking taylor expansion of 1/2 in U 11.783 * [backup-simplify]: Simplify 1/2 into 1/2 11.783 * [taylor]: Taking taylor expansion of K in U 11.783 * [backup-simplify]: Simplify K into K 11.783 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.783 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.783 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.783 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.783 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.783 * [backup-simplify]: Simplify (- 0) into 0 11.783 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.783 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.783 * [backup-simplify]: Simplify (* 1 1) into 1 11.784 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.784 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.784 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.784 * [taylor]: Taking taylor expansion of 1 in U 11.784 * [backup-simplify]: Simplify 1 into 1 11.784 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.784 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.784 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.785 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.785 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.785 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.785 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.785 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.785 * [taylor]: Taking taylor expansion of 1/4 in J 11.785 * [backup-simplify]: Simplify 1/4 into 1/4 11.785 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.785 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.785 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.785 * [taylor]: Taking taylor expansion of 1/4 in J 11.785 * [backup-simplify]: Simplify 1/4 into 1/4 11.785 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.785 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.785 * [taylor]: Taking taylor expansion of J in J 11.785 * [backup-simplify]: Simplify 0 into 0 11.785 * [backup-simplify]: Simplify 1 into 1 11.785 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.785 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.785 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.785 * [taylor]: Taking taylor expansion of 1/2 in J 11.785 * [backup-simplify]: Simplify 1/2 into 1/2 11.785 * [taylor]: Taking taylor expansion of K in J 11.785 * [backup-simplify]: Simplify K into K 11.785 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.785 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.785 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.785 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.786 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.786 * [backup-simplify]: Simplify (- 0) into 0 11.786 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.786 * [backup-simplify]: Simplify (* 1 1) into 1 11.786 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.786 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.786 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.786 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.786 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.787 * [taylor]: Taking taylor expansion of 2 in J 11.787 * [backup-simplify]: Simplify 2 into 2 11.787 * [taylor]: Taking taylor expansion of (log U) in J 11.787 * [taylor]: Taking taylor expansion of U in J 11.787 * [backup-simplify]: Simplify U into U 11.787 * [backup-simplify]: Simplify (log U) into (log U) 11.787 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.787 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.787 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.787 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.787 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.788 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.788 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.788 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.788 * [taylor]: Taking taylor expansion of 1/4 in K 11.788 * [backup-simplify]: Simplify 1/4 into 1/4 11.788 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.788 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 11.788 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.788 * [taylor]: Taking taylor expansion of 2 in K 11.788 * [backup-simplify]: Simplify 2 into 2 11.788 * [taylor]: Taking taylor expansion of (log J) in K 11.788 * [taylor]: Taking taylor expansion of J in K 11.788 * [backup-simplify]: Simplify J into J 11.788 * [backup-simplify]: Simplify (log J) into (log J) 11.788 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 11.788 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 11.788 * [taylor]: Taking taylor expansion of 1/4 in K 11.788 * [backup-simplify]: Simplify 1/4 into 1/4 11.788 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.788 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.788 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.788 * [taylor]: Taking taylor expansion of 1/2 in K 11.788 * [backup-simplify]: Simplify 1/2 into 1/2 11.788 * [taylor]: Taking taylor expansion of K in K 11.788 * [backup-simplify]: Simplify 0 into 0 11.788 * [backup-simplify]: Simplify 1 into 1 11.792 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.792 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.792 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.792 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.792 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.792 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.792 * [taylor]: Taking taylor expansion of 2 in K 11.792 * [backup-simplify]: Simplify 2 into 2 11.792 * [taylor]: Taking taylor expansion of (log U) in K 11.792 * [taylor]: Taking taylor expansion of U in K 11.792 * [backup-simplify]: Simplify U into U 11.792 * [backup-simplify]: Simplify (log U) into (log U) 11.792 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.793 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.793 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.793 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.793 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.793 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.793 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.793 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.793 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.794 * [backup-simplify]: Simplify (+ 0) into 0 11.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.796 * [backup-simplify]: Simplify (- 0) into 0 11.796 * [backup-simplify]: Simplify (+ 0 0) into 0 11.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.797 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.797 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.798 * [backup-simplify]: Simplify (+ 0 0) into 0 11.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.799 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.799 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.800 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.800 * [taylor]: Taking taylor expansion of 0 in J 11.800 * [backup-simplify]: Simplify 0 into 0 11.800 * [taylor]: Taking taylor expansion of 0 in K 11.800 * [backup-simplify]: Simplify 0 into 0 11.800 * [backup-simplify]: Simplify 0 into 0 11.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.801 * [backup-simplify]: Simplify (+ 0) into 0 11.801 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.801 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.802 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.802 * [backup-simplify]: Simplify (- 0) into 0 11.803 * [backup-simplify]: Simplify (+ 0 0) into 0 11.803 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.803 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.804 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.805 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.805 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.806 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.806 * [backup-simplify]: Simplify (- 0) into 0 11.807 * [backup-simplify]: Simplify (+ 0 0) into 0 11.807 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.808 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.808 * [taylor]: Taking taylor expansion of 0 in K 11.808 * [backup-simplify]: Simplify 0 into 0 11.808 * [backup-simplify]: Simplify 0 into 0 11.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.810 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.810 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.810 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.811 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.811 * [backup-simplify]: Simplify (+ 0 0) into 0 11.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.812 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.813 * [backup-simplify]: Simplify (- 0) into 0 11.813 * [backup-simplify]: Simplify (+ 0 0) into 0 11.814 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.815 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.815 * [backup-simplify]: Simplify 0 into 0 11.816 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.816 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.818 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.819 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.819 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.820 * [backup-simplify]: Simplify (- 0) into 0 11.820 * [backup-simplify]: Simplify (+ 0 0) into 0 11.820 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.823 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.824 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.824 * [backup-simplify]: Simplify (+ 0 1) into 1 11.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.827 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.828 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 11.829 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 11.829 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 11.829 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 11.829 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.829 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.829 * [taylor]: Taking taylor expansion of 1/4 in J 11.829 * [backup-simplify]: Simplify 1/4 into 1/4 11.829 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.829 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.829 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.829 * [taylor]: Taking taylor expansion of 1/4 in J 11.829 * [backup-simplify]: Simplify 1/4 into 1/4 11.829 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.830 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.830 * [taylor]: Taking taylor expansion of J in J 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 1 into 1 11.830 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.830 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.830 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.830 * [taylor]: Taking taylor expansion of 1/2 in J 11.830 * [backup-simplify]: Simplify 1/2 into 1/2 11.830 * [taylor]: Taking taylor expansion of K in J 11.830 * [backup-simplify]: Simplify K into K 11.830 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.830 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.830 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.830 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.830 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.831 * [backup-simplify]: Simplify (- 0) into 0 11.831 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.831 * [backup-simplify]: Simplify (* 1 1) into 1 11.831 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.831 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.831 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.832 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.832 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.832 * [taylor]: Taking taylor expansion of 2 in J 11.832 * [backup-simplify]: Simplify 2 into 2 11.832 * [taylor]: Taking taylor expansion of (log U) in J 11.832 * [taylor]: Taking taylor expansion of U in J 11.832 * [backup-simplify]: Simplify U into U 11.832 * [backup-simplify]: Simplify (log U) into (log U) 11.832 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.832 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.833 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.833 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.833 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.833 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.833 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.833 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.833 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.833 * [taylor]: Taking taylor expansion of 1/2 in J 11.834 * [backup-simplify]: Simplify 1/2 into 1/2 11.834 * [taylor]: Taking taylor expansion of K in J 11.834 * [backup-simplify]: Simplify K into K 11.834 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.834 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.834 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.834 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.834 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.834 * [backup-simplify]: Simplify (- 0) into 0 11.834 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.834 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.834 * [taylor]: Taking taylor expansion of J in J 11.835 * [backup-simplify]: Simplify 0 into 0 11.835 * [backup-simplify]: Simplify 1 into 1 11.835 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.835 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.835 * [backup-simplify]: Simplify (* 1 1) into 1 11.836 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.836 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.837 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.837 * [backup-simplify]: Simplify (+ 0) into 0 11.838 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.838 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.839 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.840 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.841 * [backup-simplify]: Simplify (- 0) into 0 11.841 * [backup-simplify]: Simplify (+ 0 0) into 0 11.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.842 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.842 * [backup-simplify]: Simplify (- 0) into 0 11.843 * [backup-simplify]: Simplify (+ 0 0) into 0 11.843 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.844 * [backup-simplify]: Simplify (+ 0) into 0 11.845 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.845 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.846 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.847 * [backup-simplify]: Simplify (- 0) into 0 11.847 * [backup-simplify]: Simplify (+ 0 0) into 0 11.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.847 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.848 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.850 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.850 * [backup-simplify]: Simplify (- 0) into 0 11.851 * [backup-simplify]: Simplify (+ 0 0) into 0 11.851 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.853 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.853 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.855 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.855 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.856 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.856 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.857 * [backup-simplify]: Simplify (- 0) into 0 11.858 * [backup-simplify]: Simplify (+ 0 0) into 0 11.858 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.859 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.860 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.861 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.864 * [backup-simplify]: Simplify (- 0) into 0 11.864 * [backup-simplify]: Simplify (+ 0 0) into 0 11.865 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.867 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.868 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.869 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 11.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.873 * [taylor]: Taking taylor expansion of 0 in K 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [taylor]: Taking taylor expansion of 0 in K 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 0 into 0 11.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.875 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.876 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.876 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.877 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.878 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.878 * [backup-simplify]: Simplify (- 0) into 0 11.878 * [backup-simplify]: Simplify (+ 0 0) into 0 11.879 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.880 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.880 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.884 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.885 * [backup-simplify]: Simplify (- 0) into 0 11.886 * [backup-simplify]: Simplify (+ 0 0) into 0 11.887 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.888 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.888 * [taylor]: Taking taylor expansion of 0 in K 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [backup-simplify]: Simplify 0 into 0 11.889 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 11.889 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 11.889 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0 11.889 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 11.889 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 11.890 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 11.890 * [taylor]: Taking taylor expansion of 1/4 in K 11.890 * [backup-simplify]: Simplify 1/4 into 1/4 11.890 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.890 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.890 * [taylor]: Taking taylor expansion of 1 in K 11.890 * [backup-simplify]: Simplify 1 into 1 11.890 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.890 * [taylor]: Taking taylor expansion of 1/4 in K 11.890 * [backup-simplify]: Simplify 1/4 into 1/4 11.890 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.890 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.890 * [taylor]: Taking taylor expansion of J in K 11.890 * [backup-simplify]: Simplify J into J 11.890 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.890 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.890 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.890 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.890 * [taylor]: Taking taylor expansion of -1/2 in K 11.890 * [backup-simplify]: Simplify -1/2 into -1/2 11.890 * [taylor]: Taking taylor expansion of K in K 11.890 * [backup-simplify]: Simplify 0 into 0 11.890 * [backup-simplify]: Simplify 1 into 1 11.891 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.891 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.891 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.891 * [taylor]: Taking taylor expansion of U in K 11.891 * [backup-simplify]: Simplify U into U 11.891 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.891 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.891 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.891 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.891 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.892 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.892 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 11.893 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.893 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 11.893 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 11.893 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 11.894 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 11.894 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 11.894 * [taylor]: Taking taylor expansion of 1/4 in J 11.894 * [backup-simplify]: Simplify 1/4 into 1/4 11.894 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.894 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.894 * [taylor]: Taking taylor expansion of 1 in J 11.894 * [backup-simplify]: Simplify 1 into 1 11.894 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.894 * [taylor]: Taking taylor expansion of 1/4 in J 11.894 * [backup-simplify]: Simplify 1/4 into 1/4 11.894 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.894 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.894 * [taylor]: Taking taylor expansion of J in J 11.894 * [backup-simplify]: Simplify 0 into 0 11.894 * [backup-simplify]: Simplify 1 into 1 11.894 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.894 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.894 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.894 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.894 * [taylor]: Taking taylor expansion of -1/2 in J 11.894 * [backup-simplify]: Simplify -1/2 into -1/2 11.894 * [taylor]: Taking taylor expansion of K in J 11.894 * [backup-simplify]: Simplify K into K 11.894 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.894 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.894 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.894 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.895 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.895 * [backup-simplify]: Simplify (- 0) into 0 11.895 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.895 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.895 * [taylor]: Taking taylor expansion of U in J 11.895 * [backup-simplify]: Simplify U into U 11.896 * [backup-simplify]: Simplify (* 1 1) into 1 11.896 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.896 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.896 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.896 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.897 * [backup-simplify]: Simplify (+ 1 0) into 1 11.897 * [backup-simplify]: Simplify (log 1) into 0 11.897 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.898 * [backup-simplify]: Simplify (+ 0 0) into 0 11.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.900 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.900 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.903 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.904 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.904 * [backup-simplify]: Simplify (exp 0) into 1 11.904 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 11.904 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.904 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.904 * [taylor]: Taking taylor expansion of 1/4 in U 11.904 * [backup-simplify]: Simplify 1/4 into 1/4 11.904 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.904 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.904 * [taylor]: Taking taylor expansion of 1 in U 11.904 * [backup-simplify]: Simplify 1 into 1 11.904 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.904 * [taylor]: Taking taylor expansion of 1/4 in U 11.904 * [backup-simplify]: Simplify 1/4 into 1/4 11.904 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.904 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.904 * [taylor]: Taking taylor expansion of J in U 11.904 * [backup-simplify]: Simplify J into J 11.904 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.904 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.904 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.904 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.904 * [taylor]: Taking taylor expansion of -1/2 in U 11.904 * [backup-simplify]: Simplify -1/2 into -1/2 11.904 * [taylor]: Taking taylor expansion of K in U 11.904 * [backup-simplify]: Simplify K into K 11.904 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.904 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.905 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.905 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.905 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.905 * [backup-simplify]: Simplify (- 0) into 0 11.905 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.905 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.905 * [taylor]: Taking taylor expansion of U in U 11.905 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify 1 into 1 11.906 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.906 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.906 * [backup-simplify]: Simplify (* 1 1) into 1 11.906 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.906 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.907 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.907 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.907 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.908 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.908 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.908 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.908 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 11.909 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.909 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.909 * [taylor]: Taking taylor expansion of 1/4 in U 11.909 * [backup-simplify]: Simplify 1/4 into 1/4 11.909 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.909 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.909 * [taylor]: Taking taylor expansion of 1 in U 11.909 * [backup-simplify]: Simplify 1 into 1 11.909 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.909 * [taylor]: Taking taylor expansion of 1/4 in U 11.909 * [backup-simplify]: Simplify 1/4 into 1/4 11.909 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.909 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.909 * [taylor]: Taking taylor expansion of J in U 11.909 * [backup-simplify]: Simplify J into J 11.909 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.909 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.909 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.909 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.909 * [taylor]: Taking taylor expansion of -1/2 in U 11.909 * [backup-simplify]: Simplify -1/2 into -1/2 11.909 * [taylor]: Taking taylor expansion of K in U 11.909 * [backup-simplify]: Simplify K into K 11.909 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.909 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.909 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.909 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.910 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.910 * [backup-simplify]: Simplify (- 0) into 0 11.910 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.910 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.910 * [taylor]: Taking taylor expansion of U in U 11.910 * [backup-simplify]: Simplify 0 into 0 11.910 * [backup-simplify]: Simplify 1 into 1 11.910 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.911 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.911 * [backup-simplify]: Simplify (* 1 1) into 1 11.911 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.911 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.911 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.912 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.912 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.913 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.913 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.913 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.914 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.914 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.914 * [taylor]: Taking taylor expansion of 1/4 in J 11.914 * [backup-simplify]: Simplify 1/4 into 1/4 11.914 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.914 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.914 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.914 * [taylor]: Taking taylor expansion of 1/4 in J 11.914 * [backup-simplify]: Simplify 1/4 into 1/4 11.914 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.914 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.914 * [taylor]: Taking taylor expansion of J in J 11.914 * [backup-simplify]: Simplify 0 into 0 11.914 * [backup-simplify]: Simplify 1 into 1 11.914 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.914 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.914 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.914 * [taylor]: Taking taylor expansion of -1/2 in J 11.914 * [backup-simplify]: Simplify -1/2 into -1/2 11.914 * [taylor]: Taking taylor expansion of K in J 11.914 * [backup-simplify]: Simplify K into K 11.914 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.914 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.914 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.914 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.915 * [backup-simplify]: Simplify (- 0) into 0 11.915 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.915 * [backup-simplify]: Simplify (* 1 1) into 1 11.916 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.916 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.916 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.916 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.916 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.916 * [taylor]: Taking taylor expansion of 2 in J 11.916 * [backup-simplify]: Simplify 2 into 2 11.916 * [taylor]: Taking taylor expansion of (log U) in J 11.916 * [taylor]: Taking taylor expansion of U in J 11.916 * [backup-simplify]: Simplify U into U 11.916 * [backup-simplify]: Simplify (log U) into (log U) 11.917 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.917 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.917 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.917 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.918 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.918 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.918 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.918 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.918 * [taylor]: Taking taylor expansion of 1/4 in K 11.918 * [backup-simplify]: Simplify 1/4 into 1/4 11.918 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.918 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 11.918 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.918 * [taylor]: Taking taylor expansion of 2 in K 11.918 * [backup-simplify]: Simplify 2 into 2 11.918 * [taylor]: Taking taylor expansion of (log J) in K 11.918 * [taylor]: Taking taylor expansion of J in K 11.918 * [backup-simplify]: Simplify J into J 11.918 * [backup-simplify]: Simplify (log J) into (log J) 11.918 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 11.918 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 11.918 * [taylor]: Taking taylor expansion of 1/4 in K 11.918 * [backup-simplify]: Simplify 1/4 into 1/4 11.918 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.918 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.918 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.918 * [taylor]: Taking taylor expansion of -1/2 in K 11.918 * [backup-simplify]: Simplify -1/2 into -1/2 11.918 * [taylor]: Taking taylor expansion of K in K 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [backup-simplify]: Simplify 1 into 1 11.919 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.919 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.919 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.919 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.919 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.919 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.919 * [taylor]: Taking taylor expansion of 2 in K 11.919 * [backup-simplify]: Simplify 2 into 2 11.919 * [taylor]: Taking taylor expansion of (log U) in K 11.919 * [taylor]: Taking taylor expansion of U in K 11.919 * [backup-simplify]: Simplify U into U 11.919 * [backup-simplify]: Simplify (log U) into (log U) 11.919 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.919 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.919 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.920 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.920 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.920 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.920 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.920 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.920 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.921 * [backup-simplify]: Simplify (+ 0) into 0 11.921 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.921 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.922 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.923 * [backup-simplify]: Simplify (- 0) into 0 11.923 * [backup-simplify]: Simplify (+ 0 0) into 0 11.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.923 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.923 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.924 * [backup-simplify]: Simplify (+ 0 0) into 0 11.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.925 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.926 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.926 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.927 * [taylor]: Taking taylor expansion of 0 in J 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [taylor]: Taking taylor expansion of 0 in K 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.927 * [backup-simplify]: Simplify (+ 0) into 0 11.928 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.929 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.929 * [backup-simplify]: Simplify (- 0) into 0 11.930 * [backup-simplify]: Simplify (+ 0 0) into 0 11.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.930 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.930 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.937 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.937 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.938 * [backup-simplify]: Simplify (- 0) into 0 11.938 * [backup-simplify]: Simplify (+ 0 0) into 0 11.939 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.939 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.939 * [taylor]: Taking taylor expansion of 0 in K 11.939 * [backup-simplify]: Simplify 0 into 0 11.939 * [backup-simplify]: Simplify 0 into 0 11.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.940 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.940 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.941 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.941 * [backup-simplify]: Simplify (+ 0 0) into 0 11.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.942 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.943 * [backup-simplify]: Simplify (- 0) into 0 11.943 * [backup-simplify]: Simplify (+ 0 0) into 0 11.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.944 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.944 * [backup-simplify]: Simplify 0 into 0 11.944 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.945 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.946 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.946 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.946 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.947 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.947 * [backup-simplify]: Simplify (- 0) into 0 11.947 * [backup-simplify]: Simplify (+ 0 0) into 0 11.947 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.948 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.948 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.949 * [backup-simplify]: Simplify (+ 1 0) into 1 11.950 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.951 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.951 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 11.952 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 11.952 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 11.952 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 11.952 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.952 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.952 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.952 * [taylor]: Taking taylor expansion of -1/2 in J 11.952 * [backup-simplify]: Simplify -1/2 into -1/2 11.952 * [taylor]: Taking taylor expansion of K in J 11.952 * [backup-simplify]: Simplify K into K 11.952 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.952 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.952 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.952 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.952 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.953 * [backup-simplify]: Simplify (- 0) into 0 11.953 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.953 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.953 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.953 * [taylor]: Taking taylor expansion of 1/4 in J 11.953 * [backup-simplify]: Simplify 1/4 into 1/4 11.953 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.953 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.953 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.953 * [taylor]: Taking taylor expansion of 1/4 in J 11.953 * [backup-simplify]: Simplify 1/4 into 1/4 11.953 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.953 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.953 * [taylor]: Taking taylor expansion of J in J 11.953 * [backup-simplify]: Simplify 0 into 0 11.953 * [backup-simplify]: Simplify 1 into 1 11.953 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.953 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.953 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.953 * [taylor]: Taking taylor expansion of -1/2 in J 11.953 * [backup-simplify]: Simplify -1/2 into -1/2 11.953 * [taylor]: Taking taylor expansion of K in J 11.953 * [backup-simplify]: Simplify K into K 11.953 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.953 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.953 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.953 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.953 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.954 * [backup-simplify]: Simplify (- 0) into 0 11.954 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.954 * [backup-simplify]: Simplify (* 1 1) into 1 11.954 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.954 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.954 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.954 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.954 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.954 * [taylor]: Taking taylor expansion of 2 in J 11.954 * [backup-simplify]: Simplify 2 into 2 11.954 * [taylor]: Taking taylor expansion of (log U) in J 11.954 * [taylor]: Taking taylor expansion of U in J 11.954 * [backup-simplify]: Simplify U into U 11.954 * [backup-simplify]: Simplify (log U) into (log U) 11.955 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.955 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.955 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.955 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.955 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.955 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.955 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.955 * [taylor]: Taking taylor expansion of J in J 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 1 into 1 11.955 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.956 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.956 * [backup-simplify]: Simplify (* 1 1) into 1 11.956 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.957 * [backup-simplify]: Simplify (+ 0) into 0 11.957 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.957 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.958 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.958 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.958 * [backup-simplify]: Simplify (- 0) into 0 11.959 * [backup-simplify]: Simplify (+ 0 0) into 0 11.959 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.959 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.959 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.960 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.961 * [backup-simplify]: Simplify (- 0) into 0 11.961 * [backup-simplify]: Simplify (+ 0 0) into 0 11.961 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.963 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.964 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.964 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.965 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.966 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.966 * [backup-simplify]: Simplify (- 0) into 0 11.966 * [backup-simplify]: Simplify (+ 0 0) into 0 11.967 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.967 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.968 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.970 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 11.972 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.973 * [backup-simplify]: Simplify (- 0) into 0 11.973 * [backup-simplify]: Simplify (+ 0 0) into 0 11.974 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.976 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.977 * [backup-simplify]: Simplify (+ 0) into 0 11.977 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.977 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.978 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.978 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.979 * [backup-simplify]: Simplify (- 0) into 0 11.979 * [backup-simplify]: Simplify (+ 0 0) into 0 11.979 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.980 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.982 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.982 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.983 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.984 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.984 * [backup-simplify]: Simplify (- 0) into 0 11.984 * [backup-simplify]: Simplify (+ 0 0) into 0 11.985 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.986 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 11.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.987 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 11.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 11.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.991 * [taylor]: Taking taylor expansion of 0 in K 11.991 * [backup-simplify]: Simplify 0 into 0 11.991 * [backup-simplify]: Simplify 0 into 0 11.991 * [taylor]: Taking taylor expansion of 0 in K 11.991 * [backup-simplify]: Simplify 0 into 0 11.991 * [backup-simplify]: Simplify 0 into 0 11.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.993 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.994 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.994 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.995 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.996 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.996 * [backup-simplify]: Simplify (- 0) into 0 11.996 * [backup-simplify]: Simplify (+ 0 0) into 0 11.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.997 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.998 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 12.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 12.002 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.003 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.003 * [backup-simplify]: Simplify (- 0) into 0 12.003 * [backup-simplify]: Simplify (+ 0 0) into 0 12.004 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.006 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.006 * [taylor]: Taking taylor expansion of 0 in K 12.006 * [backup-simplify]: Simplify 0 into 0 12.006 * [backup-simplify]: Simplify 0 into 0 12.007 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 12.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 12.007 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 12.007 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 12.007 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.007 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.007 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.007 * [taylor]: Taking taylor expansion of 1/4 in K 12.007 * [backup-simplify]: Simplify 1/4 into 1/4 12.007 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.007 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.007 * [taylor]: Taking taylor expansion of U in K 12.008 * [backup-simplify]: Simplify U into U 12.008 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.008 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.008 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.008 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.008 * [taylor]: Taking taylor expansion of 1/2 in K 12.008 * [backup-simplify]: Simplify 1/2 into 1/2 12.008 * [taylor]: Taking taylor expansion of K in K 12.008 * [backup-simplify]: Simplify 0 into 0 12.008 * [backup-simplify]: Simplify 1 into 1 12.008 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.009 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.009 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.009 * [taylor]: Taking taylor expansion of J in K 12.009 * [backup-simplify]: Simplify J into J 12.009 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.010 * [backup-simplify]: Simplify (* 1 1) into 1 12.010 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.010 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.010 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.010 * [taylor]: Taking taylor expansion of 1 in K 12.010 * [backup-simplify]: Simplify 1 into 1 12.010 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.010 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.011 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.011 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.011 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.011 * [backup-simplify]: Simplify (+ 0) into 0 12.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.013 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.013 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.014 * [backup-simplify]: Simplify (+ 0 0) into 0 12.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.014 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.014 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.014 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.014 * [taylor]: Taking taylor expansion of 1/4 in J 12.014 * [backup-simplify]: Simplify 1/4 into 1/4 12.014 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.014 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.014 * [taylor]: Taking taylor expansion of U in J 12.014 * [backup-simplify]: Simplify U into U 12.014 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.014 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.015 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.015 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.015 * [taylor]: Taking taylor expansion of 1/2 in J 12.015 * [backup-simplify]: Simplify 1/2 into 1/2 12.015 * [taylor]: Taking taylor expansion of K in J 12.015 * [backup-simplify]: Simplify K into K 12.015 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.015 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.015 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.015 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.015 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.015 * [backup-simplify]: Simplify (- 0) into 0 12.016 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.016 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.016 * [taylor]: Taking taylor expansion of J in J 12.016 * [backup-simplify]: Simplify 0 into 0 12.016 * [backup-simplify]: Simplify 1 into 1 12.016 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.016 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.016 * [backup-simplify]: Simplify (* 1 1) into 1 12.016 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.017 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.017 * [taylor]: Taking taylor expansion of 1 in J 12.017 * [backup-simplify]: Simplify 1 into 1 12.017 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.017 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.017 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.017 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.019 * [backup-simplify]: Simplify (+ 0) into 0 12.019 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.021 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.021 * [backup-simplify]: Simplify (- 0) into 0 12.022 * [backup-simplify]: Simplify (+ 0 0) into 0 12.022 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.022 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.023 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.024 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.024 * [backup-simplify]: Simplify (+ 0 0) into 0 12.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.025 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.025 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.025 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.025 * [taylor]: Taking taylor expansion of 1/4 in U 12.025 * [backup-simplify]: Simplify 1/4 into 1/4 12.025 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.025 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.025 * [taylor]: Taking taylor expansion of U in U 12.025 * [backup-simplify]: Simplify 0 into 0 12.025 * [backup-simplify]: Simplify 1 into 1 12.025 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.025 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.025 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.025 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.025 * [taylor]: Taking taylor expansion of 1/2 in U 12.025 * [backup-simplify]: Simplify 1/2 into 1/2 12.025 * [taylor]: Taking taylor expansion of K in U 12.025 * [backup-simplify]: Simplify K into K 12.025 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.025 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.025 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.025 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.025 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.026 * [backup-simplify]: Simplify (- 0) into 0 12.026 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.026 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.026 * [taylor]: Taking taylor expansion of J in U 12.026 * [backup-simplify]: Simplify J into J 12.026 * [backup-simplify]: Simplify (* 1 1) into 1 12.027 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.027 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.027 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.027 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.027 * [taylor]: Taking taylor expansion of 1 in U 12.027 * [backup-simplify]: Simplify 1 into 1 12.028 * [backup-simplify]: Simplify (+ 0 1) into 1 12.028 * [backup-simplify]: Simplify (sqrt 1) into 1 12.028 * [backup-simplify]: Simplify (+ 0 0) into 0 12.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.029 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.029 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.029 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.029 * [taylor]: Taking taylor expansion of 1/4 in U 12.029 * [backup-simplify]: Simplify 1/4 into 1/4 12.029 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.029 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.029 * [taylor]: Taking taylor expansion of U in U 12.029 * [backup-simplify]: Simplify 0 into 0 12.029 * [backup-simplify]: Simplify 1 into 1 12.029 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.029 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.029 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.029 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.029 * [taylor]: Taking taylor expansion of 1/2 in U 12.029 * [backup-simplify]: Simplify 1/2 into 1/2 12.030 * [taylor]: Taking taylor expansion of K in U 12.030 * [backup-simplify]: Simplify K into K 12.030 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.030 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.030 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.030 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.030 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.030 * [backup-simplify]: Simplify (- 0) into 0 12.030 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.030 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.030 * [taylor]: Taking taylor expansion of J in U 12.030 * [backup-simplify]: Simplify J into J 12.031 * [backup-simplify]: Simplify (* 1 1) into 1 12.031 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.031 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.031 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.031 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.031 * [taylor]: Taking taylor expansion of 1 in U 12.031 * [backup-simplify]: Simplify 1 into 1 12.032 * [backup-simplify]: Simplify (+ 0 1) into 1 12.032 * [backup-simplify]: Simplify (sqrt 1) into 1 12.033 * [backup-simplify]: Simplify (+ 0 0) into 0 12.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.033 * [taylor]: Taking taylor expansion of 1 in J 12.033 * [backup-simplify]: Simplify 1 into 1 12.033 * [taylor]: Taking taylor expansion of 0 in J 12.034 * [backup-simplify]: Simplify 0 into 0 12.034 * [taylor]: Taking taylor expansion of 1 in K 12.034 * [backup-simplify]: Simplify 1 into 1 12.034 * [backup-simplify]: Simplify 1 into 1 12.034 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.034 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.036 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.036 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.036 * [taylor]: Taking taylor expansion of 1/8 in J 12.036 * [backup-simplify]: Simplify 1/8 into 1/8 12.036 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.036 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.036 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.036 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.036 * [taylor]: Taking taylor expansion of 1/2 in J 12.036 * [backup-simplify]: Simplify 1/2 into 1/2 12.036 * [taylor]: Taking taylor expansion of K in J 12.036 * [backup-simplify]: Simplify K into K 12.036 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.036 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.036 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.036 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.036 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.037 * [backup-simplify]: Simplify (- 0) into 0 12.037 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.037 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.037 * [taylor]: Taking taylor expansion of J in J 12.037 * [backup-simplify]: Simplify 0 into 0 12.037 * [backup-simplify]: Simplify 1 into 1 12.037 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.037 * [backup-simplify]: Simplify (* 1 1) into 1 12.038 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.038 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 12.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.039 * [backup-simplify]: Simplify (+ 0) into 0 12.039 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.040 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.041 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.041 * [backup-simplify]: Simplify (- 0) into 0 12.042 * [backup-simplify]: Simplify (+ 0 0) into 0 12.042 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.042 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.043 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.043 * [taylor]: Taking taylor expansion of 0 in K 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [taylor]: Taking taylor expansion of 0 in K 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [taylor]: Taking taylor expansion of 0 in K 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify 0 into 0 12.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.044 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.044 * [backup-simplify]: Simplify (+ 0) into 0 12.045 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.046 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.047 * [backup-simplify]: Simplify (- 0) into 0 12.047 * [backup-simplify]: Simplify (+ 0 0) into 0 12.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.047 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.048 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 12.049 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.049 * [backup-simplify]: Simplify (+ 0 0) into 0 12.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 12.050 * [taylor]: Taking taylor expansion of 0 in J 12.050 * [backup-simplify]: Simplify 0 into 0 12.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.052 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.054 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.054 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.055 * [backup-simplify]: Simplify (- 0) into 0 12.055 * [backup-simplify]: Simplify (+ 0 0) into 0 12.056 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.056 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.057 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.057 * [taylor]: Taking taylor expansion of 0 in K 12.057 * [backup-simplify]: Simplify 0 into 0 12.057 * [backup-simplify]: Simplify 0 into 0 12.057 * [taylor]: Taking taylor expansion of 0 in K 12.057 * [backup-simplify]: Simplify 0 into 0 12.057 * [backup-simplify]: Simplify 0 into 0 12.057 * [backup-simplify]: Simplify 1 into 1 12.058 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.058 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 12.058 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.058 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.058 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.058 * [taylor]: Taking taylor expansion of 1/4 in K 12.058 * [backup-simplify]: Simplify 1/4 into 1/4 12.058 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.058 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.058 * [taylor]: Taking taylor expansion of J in K 12.058 * [backup-simplify]: Simplify J into J 12.058 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.058 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.058 * [taylor]: Taking taylor expansion of U in K 12.058 * [backup-simplify]: Simplify U into U 12.058 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.058 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.058 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.058 * [taylor]: Taking taylor expansion of 1/2 in K 12.058 * [backup-simplify]: Simplify 1/2 into 1/2 12.058 * [taylor]: Taking taylor expansion of K in K 12.058 * [backup-simplify]: Simplify 0 into 0 12.058 * [backup-simplify]: Simplify 1 into 1 12.059 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.059 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.059 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.059 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.059 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.059 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.059 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.059 * [taylor]: Taking taylor expansion of 1 in K 12.059 * [backup-simplify]: Simplify 1 into 1 12.060 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.060 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.060 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.061 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.061 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.061 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.061 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.062 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.062 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.062 * [backup-simplify]: Simplify (+ 0 0) into 0 12.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.063 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.063 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.063 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.063 * [taylor]: Taking taylor expansion of 1/4 in J 12.063 * [backup-simplify]: Simplify 1/4 into 1/4 12.063 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.063 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.063 * [taylor]: Taking taylor expansion of J in J 12.063 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 1 into 1 12.063 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.063 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.063 * [taylor]: Taking taylor expansion of U in J 12.063 * [backup-simplify]: Simplify U into U 12.063 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.063 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.063 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.063 * [taylor]: Taking taylor expansion of 1/2 in J 12.063 * [backup-simplify]: Simplify 1/2 into 1/2 12.063 * [taylor]: Taking taylor expansion of K in J 12.063 * [backup-simplify]: Simplify K into K 12.063 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.063 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.063 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.063 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.064 * [backup-simplify]: Simplify (- 0) into 0 12.064 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.064 * [backup-simplify]: Simplify (* 1 1) into 1 12.064 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.064 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.064 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.064 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.064 * [taylor]: Taking taylor expansion of 1 in J 12.064 * [backup-simplify]: Simplify 1 into 1 12.065 * [backup-simplify]: Simplify (+ 0 1) into 1 12.065 * [backup-simplify]: Simplify (sqrt 1) into 1 12.068 * [backup-simplify]: Simplify (+ 0 0) into 0 12.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.069 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.069 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.069 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.069 * [taylor]: Taking taylor expansion of 1/4 in U 12.069 * [backup-simplify]: Simplify 1/4 into 1/4 12.069 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.069 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.069 * [taylor]: Taking taylor expansion of J in U 12.069 * [backup-simplify]: Simplify J into J 12.069 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.069 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.069 * [taylor]: Taking taylor expansion of U in U 12.069 * [backup-simplify]: Simplify 0 into 0 12.069 * [backup-simplify]: Simplify 1 into 1 12.069 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.069 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.069 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.069 * [taylor]: Taking taylor expansion of 1/2 in U 12.069 * [backup-simplify]: Simplify 1/2 into 1/2 12.069 * [taylor]: Taking taylor expansion of K in U 12.069 * [backup-simplify]: Simplify K into K 12.069 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.069 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.069 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.069 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.069 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.070 * [backup-simplify]: Simplify (- 0) into 0 12.070 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.070 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.070 * [backup-simplify]: Simplify (* 1 1) into 1 12.070 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.070 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.070 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.070 * [taylor]: Taking taylor expansion of 1 in U 12.070 * [backup-simplify]: Simplify 1 into 1 12.070 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.071 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.071 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.071 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.071 * [backup-simplify]: Simplify (+ 0) into 0 12.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.072 * [backup-simplify]: Simplify (- 0) into 0 12.073 * [backup-simplify]: Simplify (+ 0 0) into 0 12.073 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.074 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.074 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.074 * [backup-simplify]: Simplify (+ 0 0) into 0 12.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.075 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.075 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.075 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.075 * [taylor]: Taking taylor expansion of 1/4 in U 12.075 * [backup-simplify]: Simplify 1/4 into 1/4 12.075 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.075 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.075 * [taylor]: Taking taylor expansion of J in U 12.075 * [backup-simplify]: Simplify J into J 12.075 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.075 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.075 * [taylor]: Taking taylor expansion of U in U 12.075 * [backup-simplify]: Simplify 0 into 0 12.075 * [backup-simplify]: Simplify 1 into 1 12.075 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.075 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.075 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.075 * [taylor]: Taking taylor expansion of 1/2 in U 12.075 * [backup-simplify]: Simplify 1/2 into 1/2 12.075 * [taylor]: Taking taylor expansion of K in U 12.075 * [backup-simplify]: Simplify K into K 12.075 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.075 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.075 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.075 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.075 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.075 * [backup-simplify]: Simplify (- 0) into 0 12.075 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.075 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.076 * [backup-simplify]: Simplify (* 1 1) into 1 12.076 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.076 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.076 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.076 * [taylor]: Taking taylor expansion of 1 in U 12.076 * [backup-simplify]: Simplify 1 into 1 12.076 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.076 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.076 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.076 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.077 * [backup-simplify]: Simplify (+ 0) into 0 12.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.077 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.078 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.078 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.078 * [backup-simplify]: Simplify (- 0) into 0 12.078 * [backup-simplify]: Simplify (+ 0 0) into 0 12.078 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.079 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.080 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.080 * [backup-simplify]: Simplify (+ 0 0) into 0 12.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.080 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 12.080 * [taylor]: Taking taylor expansion of 1/2 in J 12.080 * [backup-simplify]: Simplify 1/2 into 1/2 12.080 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 12.080 * [taylor]: Taking taylor expansion of J in J 12.080 * [backup-simplify]: Simplify 0 into 0 12.080 * [backup-simplify]: Simplify 1 into 1 12.080 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.080 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.080 * [taylor]: Taking taylor expansion of 1/2 in J 12.080 * [backup-simplify]: Simplify 1/2 into 1/2 12.080 * [taylor]: Taking taylor expansion of K in J 12.080 * [backup-simplify]: Simplify K into K 12.080 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.080 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.081 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.081 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.081 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.081 * [backup-simplify]: Simplify (- 0) into 0 12.081 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.081 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.081 * [taylor]: Taking taylor expansion of 0 in J 12.081 * [backup-simplify]: Simplify 0 into 0 12.081 * [taylor]: Taking taylor expansion of 0 in K 12.081 * [backup-simplify]: Simplify 0 into 0 12.081 * [backup-simplify]: Simplify 0 into 0 12.081 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 12.081 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 12.081 * [taylor]: Taking taylor expansion of 1/2 in K 12.081 * [backup-simplify]: Simplify 1/2 into 1/2 12.081 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.081 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.081 * [taylor]: Taking taylor expansion of 1/2 in K 12.081 * [backup-simplify]: Simplify 1/2 into 1/2 12.081 * [taylor]: Taking taylor expansion of K in K 12.081 * [backup-simplify]: Simplify 0 into 0 12.081 * [backup-simplify]: Simplify 1 into 1 12.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.082 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.082 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.082 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.082 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.083 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.084 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.084 * [backup-simplify]: Simplify (- 0) into 0 12.085 * [backup-simplify]: Simplify (+ 0 0) into 0 12.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.086 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.087 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.087 * [backup-simplify]: Simplify (+ 0 1) into 1 12.088 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 12.088 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.088 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.088 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.088 * [taylor]: Taking taylor expansion of 1/2 in J 12.088 * [backup-simplify]: Simplify 1/2 into 1/2 12.088 * [taylor]: Taking taylor expansion of K in J 12.088 * [backup-simplify]: Simplify K into K 12.088 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.088 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.088 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.088 * [taylor]: Taking taylor expansion of J in J 12.088 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify 1 into 1 12.088 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.088 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.088 * [backup-simplify]: Simplify (- 0) into 0 12.088 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.088 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.089 * [backup-simplify]: Simplify (+ 0) into 0 12.089 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.089 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.090 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.090 * [backup-simplify]: Simplify (- 0) into 0 12.090 * [backup-simplify]: Simplify (+ 0 0) into 0 12.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.091 * [taylor]: Taking taylor expansion of 0 in K 12.091 * [backup-simplify]: Simplify 0 into 0 12.091 * [backup-simplify]: Simplify 0 into 0 12.091 * [taylor]: Taking taylor expansion of 0 in K 12.091 * [backup-simplify]: Simplify 0 into 0 12.091 * [backup-simplify]: Simplify 0 into 0 12.091 * [backup-simplify]: Simplify (+ 0) into 0 12.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.092 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.092 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.092 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.093 * [backup-simplify]: Simplify (- 0) into 0 12.093 * [backup-simplify]: Simplify (+ 0 0) into 0 12.093 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.093 * [taylor]: Taking taylor expansion of 0 in K 12.093 * [backup-simplify]: Simplify 0 into 0 12.093 * [backup-simplify]: Simplify 0 into 0 12.093 * [backup-simplify]: Simplify 0 into 0 12.094 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.094 * [backup-simplify]: Simplify 0 into 0 12.094 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.095 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.096 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.096 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.099 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.099 * [backup-simplify]: Simplify (- 0) into 0 12.100 * [backup-simplify]: Simplify (+ 0 0) into 0 12.100 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.103 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.105 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.105 * [backup-simplify]: Simplify (+ 0 0) into 0 12.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 12.106 * [taylor]: Taking taylor expansion of 0 in J 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [taylor]: Taking taylor expansion of 0 in K 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [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))) 12.107 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.107 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 12.107 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.107 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.107 * [taylor]: Taking taylor expansion of 1 in K 12.107 * [backup-simplify]: Simplify 1 into 1 12.107 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.107 * [taylor]: Taking taylor expansion of 1/4 in K 12.107 * [backup-simplify]: Simplify 1/4 into 1/4 12.107 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.107 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.107 * [taylor]: Taking taylor expansion of J in K 12.107 * [backup-simplify]: Simplify J into J 12.107 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.107 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.107 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.107 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.107 * [taylor]: Taking taylor expansion of -1/2 in K 12.107 * [backup-simplify]: Simplify -1/2 into -1/2 12.107 * [taylor]: Taking taylor expansion of K in K 12.107 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify 1 into 1 12.108 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.108 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.108 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.108 * [taylor]: Taking taylor expansion of U in K 12.108 * [backup-simplify]: Simplify U into U 12.108 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.108 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.108 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.108 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.109 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.109 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.109 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.110 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.110 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.110 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.110 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.110 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.111 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.112 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.112 * [backup-simplify]: Simplify (+ 0 0) into 0 12.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.113 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.113 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.113 * [taylor]: Taking taylor expansion of 1 in J 12.113 * [backup-simplify]: Simplify 1 into 1 12.113 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.113 * [taylor]: Taking taylor expansion of 1/4 in J 12.113 * [backup-simplify]: Simplify 1/4 into 1/4 12.113 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.113 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.113 * [taylor]: Taking taylor expansion of J in J 12.113 * [backup-simplify]: Simplify 0 into 0 12.113 * [backup-simplify]: Simplify 1 into 1 12.113 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.113 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.113 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.113 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.113 * [taylor]: Taking taylor expansion of -1/2 in J 12.113 * [backup-simplify]: Simplify -1/2 into -1/2 12.113 * [taylor]: Taking taylor expansion of K in J 12.113 * [backup-simplify]: Simplify K into K 12.114 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.114 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.114 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.114 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.114 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.115 * [backup-simplify]: Simplify (- 0) into 0 12.115 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.115 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.115 * [taylor]: Taking taylor expansion of U in J 12.115 * [backup-simplify]: Simplify U into U 12.115 * [backup-simplify]: Simplify (* 1 1) into 1 12.115 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.115 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.115 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.116 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.116 * [backup-simplify]: Simplify (+ 1 0) into 1 12.116 * [backup-simplify]: Simplify (sqrt 1) into 1 12.117 * [backup-simplify]: Simplify (+ 0 0) into 0 12.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.118 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.118 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.118 * [taylor]: Taking taylor expansion of 1 in U 12.118 * [backup-simplify]: Simplify 1 into 1 12.118 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.118 * [taylor]: Taking taylor expansion of 1/4 in U 12.118 * [backup-simplify]: Simplify 1/4 into 1/4 12.118 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.118 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.118 * [taylor]: Taking taylor expansion of J in U 12.118 * [backup-simplify]: Simplify J into J 12.118 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.118 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.118 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.118 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.118 * [taylor]: Taking taylor expansion of -1/2 in U 12.118 * [backup-simplify]: Simplify -1/2 into -1/2 12.118 * [taylor]: Taking taylor expansion of K in U 12.118 * [backup-simplify]: Simplify K into K 12.118 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.118 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.118 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.118 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.119 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.119 * [backup-simplify]: Simplify (- 0) into 0 12.119 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.119 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.119 * [taylor]: Taking taylor expansion of U in U 12.119 * [backup-simplify]: Simplify 0 into 0 12.119 * [backup-simplify]: Simplify 1 into 1 12.119 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.119 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.120 * [backup-simplify]: Simplify (* 1 1) into 1 12.120 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.120 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.120 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.121 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.121 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.121 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.122 * [backup-simplify]: Simplify (+ 0) into 0 12.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.123 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.124 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.125 * [backup-simplify]: Simplify (- 0) into 0 12.125 * [backup-simplify]: Simplify (+ 0 0) into 0 12.125 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.126 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.127 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.127 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.128 * [backup-simplify]: Simplify (+ 0 0) into 0 12.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.128 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.128 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.128 * [taylor]: Taking taylor expansion of 1 in U 12.128 * [backup-simplify]: Simplify 1 into 1 12.128 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.128 * [taylor]: Taking taylor expansion of 1/4 in U 12.128 * [backup-simplify]: Simplify 1/4 into 1/4 12.128 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.128 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.128 * [taylor]: Taking taylor expansion of J in U 12.128 * [backup-simplify]: Simplify J into J 12.128 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.128 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.128 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.128 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.129 * [taylor]: Taking taylor expansion of -1/2 in U 12.129 * [backup-simplify]: Simplify -1/2 into -1/2 12.129 * [taylor]: Taking taylor expansion of K in U 12.129 * [backup-simplify]: Simplify K into K 12.129 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.129 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.129 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.129 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.129 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.129 * [backup-simplify]: Simplify (- 0) into 0 12.129 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.130 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.130 * [taylor]: Taking taylor expansion of U in U 12.130 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify 1 into 1 12.130 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.130 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.130 * [backup-simplify]: Simplify (* 1 1) into 1 12.130 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.130 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.131 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.131 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.131 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.131 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.132 * [backup-simplify]: Simplify (+ 0) into 0 12.133 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.133 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.134 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.135 * [backup-simplify]: Simplify (- 0) into 0 12.135 * [backup-simplify]: Simplify (+ 0 0) into 0 12.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.136 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.136 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.137 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.137 * [backup-simplify]: Simplify (+ 0 0) into 0 12.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 12.138 * [taylor]: Taking taylor expansion of 1/2 in J 12.138 * [backup-simplify]: Simplify 1/2 into 1/2 12.138 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 12.138 * [taylor]: Taking taylor expansion of J in J 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.138 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.138 * [taylor]: Taking taylor expansion of -1/2 in J 12.138 * [backup-simplify]: Simplify -1/2 into -1/2 12.138 * [taylor]: Taking taylor expansion of K in J 12.138 * [backup-simplify]: Simplify K into K 12.138 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.138 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.138 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.138 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.138 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.139 * [backup-simplify]: Simplify (- 0) into 0 12.139 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.139 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 12.139 * [taylor]: Taking taylor expansion of 0 in J 12.139 * [backup-simplify]: Simplify 0 into 0 12.139 * [taylor]: Taking taylor expansion of 0 in K 12.139 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 12.139 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 12.139 * [taylor]: Taking taylor expansion of 1/2 in K 12.139 * [backup-simplify]: Simplify 1/2 into 1/2 12.139 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.139 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.139 * [taylor]: Taking taylor expansion of -1/2 in K 12.140 * [backup-simplify]: Simplify -1/2 into -1/2 12.140 * [taylor]: Taking taylor expansion of K in K 12.140 * [backup-simplify]: Simplify 0 into 0 12.140 * [backup-simplify]: Simplify 1 into 1 12.140 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.140 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.140 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.140 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.141 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.143 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.143 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.144 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.144 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.145 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.145 * [backup-simplify]: Simplify (- 0) into 0 12.146 * [backup-simplify]: Simplify (+ 0 0) into 0 12.146 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.147 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.147 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.148 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.149 * [backup-simplify]: Simplify (+ 1 0) into 1 12.150 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 12.150 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 12.150 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.150 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.150 * [taylor]: Taking taylor expansion of -1/2 in J 12.150 * [backup-simplify]: Simplify -1/2 into -1/2 12.150 * [taylor]: Taking taylor expansion of K in J 12.150 * [backup-simplify]: Simplify K into K 12.150 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.150 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.150 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.150 * [taylor]: Taking taylor expansion of J in J 12.150 * [backup-simplify]: Simplify 0 into 0 12.150 * [backup-simplify]: Simplify 1 into 1 12.150 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.150 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.151 * [backup-simplify]: Simplify (- 0) into 0 12.151 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.151 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.151 * [backup-simplify]: Simplify (+ 0) into 0 12.152 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.152 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.153 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.153 * [backup-simplify]: Simplify (- 0) into 0 12.154 * [backup-simplify]: Simplify (+ 0 0) into 0 12.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 12.155 * [taylor]: Taking taylor expansion of 0 in K 12.155 * [backup-simplify]: Simplify 0 into 0 12.155 * [backup-simplify]: Simplify 0 into 0 12.155 * [taylor]: Taking taylor expansion of 0 in K 12.155 * [backup-simplify]: Simplify 0 into 0 12.155 * [backup-simplify]: Simplify 0 into 0 12.155 * [backup-simplify]: Simplify (+ 0) into 0 12.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.157 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.157 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.158 * [backup-simplify]: Simplify (- 0) into 0 12.158 * [backup-simplify]: Simplify (+ 0 0) into 0 12.158 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 12.159 * [taylor]: Taking taylor expansion of 0 in K 12.159 * [backup-simplify]: Simplify 0 into 0 12.159 * [backup-simplify]: Simplify 0 into 0 12.159 * [backup-simplify]: Simplify 0 into 0 12.159 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.159 * [backup-simplify]: Simplify 0 into 0 12.160 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.162 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.162 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.163 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.163 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.164 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.164 * [backup-simplify]: Simplify (- 0) into 0 12.164 * [backup-simplify]: Simplify (+ 0 0) into 0 12.165 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 12.165 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.166 * [backup-simplify]: 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 12.167 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.167 * [backup-simplify]: Simplify (+ 0 0) into 0 12.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 12.167 * [taylor]: Taking taylor expansion of 0 in J 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [taylor]: Taking taylor expansion of 0 in K 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [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))) 12.167 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 12.167 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 12.167 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 12.168 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.168 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.168 * [taylor]: Taking taylor expansion of 1/4 in K 12.168 * [backup-simplify]: Simplify 1/4 into 1/4 12.168 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.168 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.168 * [taylor]: Taking taylor expansion of U in K 12.168 * [backup-simplify]: Simplify U into U 12.168 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.168 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.168 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.168 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.168 * [taylor]: Taking taylor expansion of 1/2 in K 12.168 * [backup-simplify]: Simplify 1/2 into 1/2 12.168 * [taylor]: Taking taylor expansion of K in K 12.168 * [backup-simplify]: Simplify 0 into 0 12.168 * [backup-simplify]: Simplify 1 into 1 12.168 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.168 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.169 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.169 * [taylor]: Taking taylor expansion of J in K 12.169 * [backup-simplify]: Simplify J into J 12.169 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.169 * [backup-simplify]: Simplify (* 1 1) into 1 12.169 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.169 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.169 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.169 * [taylor]: Taking taylor expansion of 1 in K 12.169 * [backup-simplify]: Simplify 1 into 1 12.169 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.169 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.169 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.169 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.169 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.170 * [backup-simplify]: Simplify (+ 0) into 0 12.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.171 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.171 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.171 * [backup-simplify]: Simplify (+ 0 0) into 0 12.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.171 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.171 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.171 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.171 * [taylor]: Taking taylor expansion of 1/4 in J 12.171 * [backup-simplify]: Simplify 1/4 into 1/4 12.171 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.172 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.172 * [taylor]: Taking taylor expansion of U in J 12.172 * [backup-simplify]: Simplify U into U 12.172 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.172 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.172 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.172 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.172 * [taylor]: Taking taylor expansion of 1/2 in J 12.172 * [backup-simplify]: Simplify 1/2 into 1/2 12.172 * [taylor]: Taking taylor expansion of K in J 12.172 * [backup-simplify]: Simplify K into K 12.172 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.172 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.172 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.172 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.172 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.172 * [backup-simplify]: Simplify (- 0) into 0 12.172 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.172 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.172 * [taylor]: Taking taylor expansion of J in J 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 1 into 1 12.172 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.172 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.173 * [backup-simplify]: Simplify (* 1 1) into 1 12.173 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.173 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.173 * [taylor]: Taking taylor expansion of 1 in J 12.173 * [backup-simplify]: Simplify 1 into 1 12.173 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.173 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.173 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.173 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.174 * [backup-simplify]: Simplify (+ 0) into 0 12.174 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.176 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.176 * [backup-simplify]: Simplify (- 0) into 0 12.176 * [backup-simplify]: Simplify (+ 0 0) into 0 12.176 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.176 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.177 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.177 * [backup-simplify]: Simplify (+ 0 0) into 0 12.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.177 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.178 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.178 * [taylor]: Taking taylor expansion of 1/4 in U 12.178 * [backup-simplify]: Simplify 1/4 into 1/4 12.178 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.178 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.178 * [taylor]: Taking taylor expansion of U in U 12.178 * [backup-simplify]: Simplify 0 into 0 12.178 * [backup-simplify]: Simplify 1 into 1 12.178 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.178 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.178 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.178 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.178 * [taylor]: Taking taylor expansion of 1/2 in U 12.178 * [backup-simplify]: Simplify 1/2 into 1/2 12.178 * [taylor]: Taking taylor expansion of K in U 12.178 * [backup-simplify]: Simplify K into K 12.178 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.178 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.178 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.178 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.178 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.178 * [backup-simplify]: Simplify (- 0) into 0 12.178 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.178 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.178 * [taylor]: Taking taylor expansion of J in U 12.178 * [backup-simplify]: Simplify J into J 12.179 * [backup-simplify]: Simplify (* 1 1) into 1 12.179 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.179 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.179 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.179 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.179 * [taylor]: Taking taylor expansion of 1 in U 12.179 * [backup-simplify]: Simplify 1 into 1 12.179 * [backup-simplify]: Simplify (+ 0 1) into 1 12.179 * [backup-simplify]: Simplify (sqrt 1) into 1 12.180 * [backup-simplify]: Simplify (+ 0 0) into 0 12.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.180 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.180 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.180 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.180 * [taylor]: Taking taylor expansion of 1/4 in U 12.180 * [backup-simplify]: Simplify 1/4 into 1/4 12.180 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.180 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.180 * [taylor]: Taking taylor expansion of U in U 12.180 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify 1 into 1 12.180 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.180 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.180 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.180 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.180 * [taylor]: Taking taylor expansion of 1/2 in U 12.180 * [backup-simplify]: Simplify 1/2 into 1/2 12.180 * [taylor]: Taking taylor expansion of K in U 12.180 * [backup-simplify]: Simplify K into K 12.180 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.180 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.181 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.181 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.181 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.181 * [backup-simplify]: Simplify (- 0) into 0 12.181 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.181 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.181 * [taylor]: Taking taylor expansion of J in U 12.181 * [backup-simplify]: Simplify J into J 12.181 * [backup-simplify]: Simplify (* 1 1) into 1 12.181 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.181 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.181 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.182 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.182 * [taylor]: Taking taylor expansion of 1 in U 12.182 * [backup-simplify]: Simplify 1 into 1 12.182 * [backup-simplify]: Simplify (+ 0 1) into 1 12.182 * [backup-simplify]: Simplify (sqrt 1) into 1 12.182 * [backup-simplify]: Simplify (+ 0 0) into 0 12.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.183 * [taylor]: Taking taylor expansion of 1 in J 12.183 * [backup-simplify]: Simplify 1 into 1 12.183 * [taylor]: Taking taylor expansion of 0 in J 12.183 * [backup-simplify]: Simplify 0 into 0 12.183 * [taylor]: Taking taylor expansion of 1 in K 12.183 * [backup-simplify]: Simplify 1 into 1 12.183 * [backup-simplify]: Simplify 1 into 1 12.183 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.183 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.184 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.184 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.185 * [taylor]: Taking taylor expansion of 1/8 in J 12.185 * [backup-simplify]: Simplify 1/8 into 1/8 12.185 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.185 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.185 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.185 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.185 * [taylor]: Taking taylor expansion of 1/2 in J 12.185 * [backup-simplify]: Simplify 1/2 into 1/2 12.185 * [taylor]: Taking taylor expansion of K in J 12.185 * [backup-simplify]: Simplify K into K 12.185 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.185 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.185 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.185 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.185 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.185 * [backup-simplify]: Simplify (- 0) into 0 12.185 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.185 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.185 * [taylor]: Taking taylor expansion of J in J 12.185 * [backup-simplify]: Simplify 0 into 0 12.185 * [backup-simplify]: Simplify 1 into 1 12.185 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.186 * [backup-simplify]: Simplify (* 1 1) into 1 12.186 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.186 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 12.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.186 * [backup-simplify]: Simplify (+ 0) into 0 12.187 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.191 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.192 * [backup-simplify]: Simplify (- 0) into 0 12.192 * [backup-simplify]: Simplify (+ 0 0) into 0 12.192 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.193 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.193 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.193 * [taylor]: Taking taylor expansion of 0 in K 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [taylor]: Taking taylor expansion of 0 in K 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [taylor]: Taking taylor expansion of 0 in K 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 0 into 0 12.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.194 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.195 * [backup-simplify]: Simplify (+ 0) into 0 12.195 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.197 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.197 * [backup-simplify]: Simplify (- 0) into 0 12.198 * [backup-simplify]: Simplify (+ 0 0) into 0 12.198 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.198 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.198 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 12.199 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.200 * [backup-simplify]: Simplify (+ 0 0) into 0 12.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 12.200 * [taylor]: Taking taylor expansion of 0 in J 12.200 * [backup-simplify]: Simplify 0 into 0 12.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.202 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.203 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.204 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.205 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.205 * [backup-simplify]: Simplify (- 0) into 0 12.206 * [backup-simplify]: Simplify (+ 0 0) into 0 12.206 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.207 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.207 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.207 * [taylor]: Taking taylor expansion of 0 in K 12.207 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify 0 into 0 12.208 * [taylor]: Taking taylor expansion of 0 in K 12.208 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify 1 into 1 12.208 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.208 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 12.208 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.208 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.208 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.208 * [taylor]: Taking taylor expansion of 1/4 in K 12.208 * [backup-simplify]: Simplify 1/4 into 1/4 12.208 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.208 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.208 * [taylor]: Taking taylor expansion of J in K 12.208 * [backup-simplify]: Simplify J into J 12.208 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.208 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.209 * [taylor]: Taking taylor expansion of U in K 12.209 * [backup-simplify]: Simplify U into U 12.209 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.209 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.209 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.209 * [taylor]: Taking taylor expansion of 1/2 in K 12.209 * [backup-simplify]: Simplify 1/2 into 1/2 12.209 * [taylor]: Taking taylor expansion of K in K 12.209 * [backup-simplify]: Simplify 0 into 0 12.209 * [backup-simplify]: Simplify 1 into 1 12.209 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.209 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.209 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.209 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.210 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.210 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.210 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.210 * [taylor]: Taking taylor expansion of 1 in K 12.210 * [backup-simplify]: Simplify 1 into 1 12.210 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.211 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.211 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.211 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.211 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.212 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.212 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.213 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.213 * [backup-simplify]: Simplify (+ 0 0) into 0 12.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.214 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.214 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.214 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.214 * [taylor]: Taking taylor expansion of 1/4 in J 12.214 * [backup-simplify]: Simplify 1/4 into 1/4 12.214 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.214 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.214 * [taylor]: Taking taylor expansion of J in J 12.214 * [backup-simplify]: Simplify 0 into 0 12.214 * [backup-simplify]: Simplify 1 into 1 12.214 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.214 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.214 * [taylor]: Taking taylor expansion of U in J 12.214 * [backup-simplify]: Simplify U into U 12.214 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.214 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.214 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.214 * [taylor]: Taking taylor expansion of 1/2 in J 12.215 * [backup-simplify]: Simplify 1/2 into 1/2 12.215 * [taylor]: Taking taylor expansion of K in J 12.215 * [backup-simplify]: Simplify K into K 12.215 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.215 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.215 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.215 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.215 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.215 * [backup-simplify]: Simplify (- 0) into 0 12.215 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.216 * [backup-simplify]: Simplify (* 1 1) into 1 12.216 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.216 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.216 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.216 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.216 * [taylor]: Taking taylor expansion of 1 in J 12.216 * [backup-simplify]: Simplify 1 into 1 12.217 * [backup-simplify]: Simplify (+ 0 1) into 1 12.217 * [backup-simplify]: Simplify (sqrt 1) into 1 12.218 * [backup-simplify]: Simplify (+ 0 0) into 0 12.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.218 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.218 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.218 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.218 * [taylor]: Taking taylor expansion of 1/4 in U 12.218 * [backup-simplify]: Simplify 1/4 into 1/4 12.218 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.219 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.219 * [taylor]: Taking taylor expansion of J in U 12.219 * [backup-simplify]: Simplify J into J 12.219 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.219 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.219 * [taylor]: Taking taylor expansion of U in U 12.219 * [backup-simplify]: Simplify 0 into 0 12.219 * [backup-simplify]: Simplify 1 into 1 12.219 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.219 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.219 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.219 * [taylor]: Taking taylor expansion of 1/2 in U 12.219 * [backup-simplify]: Simplify 1/2 into 1/2 12.219 * [taylor]: Taking taylor expansion of K in U 12.219 * [backup-simplify]: Simplify K into K 12.219 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.219 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.219 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.219 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.219 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.220 * [backup-simplify]: Simplify (- 0) into 0 12.220 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.220 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.220 * [backup-simplify]: Simplify (* 1 1) into 1 12.220 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.220 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.221 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.221 * [taylor]: Taking taylor expansion of 1 in U 12.221 * [backup-simplify]: Simplify 1 into 1 12.221 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.221 * [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))) 12.221 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.221 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.222 * [backup-simplify]: Simplify (+ 0) into 0 12.222 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.224 * [backup-simplify]: Simplify (- 0) into 0 12.224 * [backup-simplify]: Simplify (+ 0 0) into 0 12.225 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.226 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.227 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.227 * [backup-simplify]: Simplify (+ 0 0) into 0 12.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.227 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.228 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.228 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.228 * [taylor]: Taking taylor expansion of 1/4 in U 12.228 * [backup-simplify]: Simplify 1/4 into 1/4 12.228 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.228 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.228 * [taylor]: Taking taylor expansion of J in U 12.228 * [backup-simplify]: Simplify J into J 12.228 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.228 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.228 * [taylor]: Taking taylor expansion of U in U 12.228 * [backup-simplify]: Simplify 0 into 0 12.228 * [backup-simplify]: Simplify 1 into 1 12.228 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.228 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.228 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.228 * [taylor]: Taking taylor expansion of 1/2 in U 12.228 * [backup-simplify]: Simplify 1/2 into 1/2 12.228 * [taylor]: Taking taylor expansion of K in U 12.228 * [backup-simplify]: Simplify K into K 12.228 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.228 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.228 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.228 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.228 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.229 * [backup-simplify]: Simplify (- 0) into 0 12.229 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.229 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.229 * [backup-simplify]: Simplify (* 1 1) into 1 12.230 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.230 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.230 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.230 * [taylor]: Taking taylor expansion of 1 in U 12.230 * [backup-simplify]: Simplify 1 into 1 12.230 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.230 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.231 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.231 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.231 * [backup-simplify]: Simplify (+ 0) into 0 12.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.232 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.233 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.233 * [backup-simplify]: Simplify (- 0) into 0 12.234 * [backup-simplify]: Simplify (+ 0 0) into 0 12.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.236 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.236 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.236 * [backup-simplify]: Simplify (+ 0 0) into 0 12.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 12.237 * [taylor]: Taking taylor expansion of 1/2 in J 12.237 * [backup-simplify]: Simplify 1/2 into 1/2 12.237 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 12.237 * [taylor]: Taking taylor expansion of J in J 12.237 * [backup-simplify]: Simplify 0 into 0 12.237 * [backup-simplify]: Simplify 1 into 1 12.237 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.237 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.237 * [taylor]: Taking taylor expansion of 1/2 in J 12.237 * [backup-simplify]: Simplify 1/2 into 1/2 12.237 * [taylor]: Taking taylor expansion of K in J 12.237 * [backup-simplify]: Simplify K into K 12.237 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.237 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.237 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.238 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.238 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.238 * [backup-simplify]: Simplify (- 0) into 0 12.238 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.238 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.238 * [taylor]: Taking taylor expansion of 0 in J 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [taylor]: Taking taylor expansion of 0 in K 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 12.239 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 12.239 * [taylor]: Taking taylor expansion of 1/2 in K 12.239 * [backup-simplify]: Simplify 1/2 into 1/2 12.239 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.239 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.239 * [taylor]: Taking taylor expansion of 1/2 in K 12.239 * [backup-simplify]: Simplify 1/2 into 1/2 12.239 * [taylor]: Taking taylor expansion of K in K 12.239 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify 1 into 1 12.239 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.239 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.240 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.240 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.240 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.242 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.243 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.243 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.244 * [backup-simplify]: Simplify (- 0) into 0 12.245 * [backup-simplify]: Simplify (+ 0 0) into 0 12.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.248 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.249 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.249 * [backup-simplify]: Simplify (+ 0 1) into 1 12.250 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 12.250 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.250 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.250 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.250 * [taylor]: Taking taylor expansion of 1/2 in J 12.250 * [backup-simplify]: Simplify 1/2 into 1/2 12.250 * [taylor]: Taking taylor expansion of K in J 12.250 * [backup-simplify]: Simplify K into K 12.250 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.250 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.250 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.250 * [taylor]: Taking taylor expansion of J in J 12.250 * [backup-simplify]: Simplify 0 into 0 12.250 * [backup-simplify]: Simplify 1 into 1 12.250 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.250 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.251 * [backup-simplify]: Simplify (- 0) into 0 12.251 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.251 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.251 * [backup-simplify]: Simplify (+ 0) into 0 12.251 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.251 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.252 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.252 * [backup-simplify]: Simplify (- 0) into 0 12.253 * [backup-simplify]: Simplify (+ 0 0) into 0 12.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.253 * [taylor]: Taking taylor expansion of 0 in K 12.253 * [backup-simplify]: Simplify 0 into 0 12.253 * [backup-simplify]: Simplify 0 into 0 12.253 * [taylor]: Taking taylor expansion of 0 in K 12.253 * [backup-simplify]: Simplify 0 into 0 12.253 * [backup-simplify]: Simplify 0 into 0 12.254 * [backup-simplify]: Simplify (+ 0) into 0 12.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.254 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.255 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.255 * [backup-simplify]: Simplify (- 0) into 0 12.255 * [backup-simplify]: Simplify (+ 0 0) into 0 12.255 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.256 * [taylor]: Taking taylor expansion of 0 in K 12.256 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.256 * [backup-simplify]: Simplify 0 into 0 12.257 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.258 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.258 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.258 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.260 * [backup-simplify]: Simplify (- 0) into 0 12.260 * [backup-simplify]: Simplify (+ 0 0) into 0 12.261 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.263 * [backup-simplify]: 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 12.263 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.264 * [backup-simplify]: Simplify (+ 0 0) into 0 12.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 12.264 * [taylor]: Taking taylor expansion of 0 in J 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [taylor]: Taking taylor expansion of 0 in K 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [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))) 12.264 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.264 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 12.264 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.264 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.264 * [taylor]: Taking taylor expansion of 1 in K 12.264 * [backup-simplify]: Simplify 1 into 1 12.264 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.264 * [taylor]: Taking taylor expansion of 1/4 in K 12.264 * [backup-simplify]: Simplify 1/4 into 1/4 12.264 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.264 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.264 * [taylor]: Taking taylor expansion of J in K 12.264 * [backup-simplify]: Simplify J into J 12.264 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.264 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.264 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.265 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.265 * [taylor]: Taking taylor expansion of -1/2 in K 12.265 * [backup-simplify]: Simplify -1/2 into -1/2 12.265 * [taylor]: Taking taylor expansion of K in K 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 1 into 1 12.265 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.265 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.265 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.265 * [taylor]: Taking taylor expansion of U in K 12.265 * [backup-simplify]: Simplify U into U 12.265 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.265 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.265 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.265 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.265 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.265 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.266 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.266 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.266 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.266 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.266 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.267 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.267 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.267 * [backup-simplify]: Simplify (+ 0 0) into 0 12.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.268 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.268 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.268 * [taylor]: Taking taylor expansion of 1 in J 12.268 * [backup-simplify]: Simplify 1 into 1 12.268 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.268 * [taylor]: Taking taylor expansion of 1/4 in J 12.268 * [backup-simplify]: Simplify 1/4 into 1/4 12.268 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.268 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.268 * [taylor]: Taking taylor expansion of J in J 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 1 into 1 12.268 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.268 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.268 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.268 * [taylor]: Taking taylor expansion of -1/2 in J 12.268 * [backup-simplify]: Simplify -1/2 into -1/2 12.268 * [taylor]: Taking taylor expansion of K in J 12.268 * [backup-simplify]: Simplify K into K 12.268 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.268 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.268 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.268 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.268 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.268 * [backup-simplify]: Simplify (- 0) into 0 12.268 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.268 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.268 * [taylor]: Taking taylor expansion of U in J 12.268 * [backup-simplify]: Simplify U into U 12.269 * [backup-simplify]: Simplify (* 1 1) into 1 12.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.269 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.269 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.269 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.269 * [backup-simplify]: Simplify (+ 1 0) into 1 12.270 * [backup-simplify]: Simplify (sqrt 1) into 1 12.270 * [backup-simplify]: Simplify (+ 0 0) into 0 12.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.270 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.270 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.270 * [taylor]: Taking taylor expansion of 1 in U 12.270 * [backup-simplify]: Simplify 1 into 1 12.270 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.270 * [taylor]: Taking taylor expansion of 1/4 in U 12.270 * [backup-simplify]: Simplify 1/4 into 1/4 12.270 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.270 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.270 * [taylor]: Taking taylor expansion of J in U 12.270 * [backup-simplify]: Simplify J into J 12.270 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.270 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.270 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.270 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.270 * [taylor]: Taking taylor expansion of -1/2 in U 12.270 * [backup-simplify]: Simplify -1/2 into -1/2 12.270 * [taylor]: Taking taylor expansion of K in U 12.270 * [backup-simplify]: Simplify K into K 12.271 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.271 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.271 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.271 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.271 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.271 * [backup-simplify]: Simplify (- 0) into 0 12.271 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.271 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.271 * [taylor]: Taking taylor expansion of U in U 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify 1 into 1 12.271 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.271 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.271 * [backup-simplify]: Simplify (* 1 1) into 1 12.272 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.272 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.272 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.272 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.272 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.272 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.273 * [backup-simplify]: Simplify (+ 0) into 0 12.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.273 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.274 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.274 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.274 * [backup-simplify]: Simplify (- 0) into 0 12.274 * [backup-simplify]: Simplify (+ 0 0) into 0 12.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.275 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.275 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.276 * [backup-simplify]: Simplify (+ 0 0) into 0 12.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.276 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.276 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.276 * [taylor]: Taking taylor expansion of 1 in U 12.276 * [backup-simplify]: Simplify 1 into 1 12.276 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.276 * [taylor]: Taking taylor expansion of 1/4 in U 12.276 * [backup-simplify]: Simplify 1/4 into 1/4 12.276 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.276 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.276 * [taylor]: Taking taylor expansion of J in U 12.276 * [backup-simplify]: Simplify J into J 12.276 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.276 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.276 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.276 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.276 * [taylor]: Taking taylor expansion of -1/2 in U 12.276 * [backup-simplify]: Simplify -1/2 into -1/2 12.276 * [taylor]: Taking taylor expansion of K in U 12.276 * [backup-simplify]: Simplify K into K 12.276 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.276 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.276 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.276 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.276 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.277 * [backup-simplify]: Simplify (- 0) into 0 12.277 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.277 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.277 * [taylor]: Taking taylor expansion of U in U 12.277 * [backup-simplify]: Simplify 0 into 0 12.277 * [backup-simplify]: Simplify 1 into 1 12.277 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.277 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.277 * [backup-simplify]: Simplify (* 1 1) into 1 12.277 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.277 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.277 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.278 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.278 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.278 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.278 * [backup-simplify]: Simplify (+ 0) into 0 12.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.279 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.279 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.280 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.280 * [backup-simplify]: Simplify (- 0) into 0 12.280 * [backup-simplify]: Simplify (+ 0 0) into 0 12.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.281 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.281 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.281 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.281 * [backup-simplify]: Simplify (+ 0 0) into 0 12.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 12.282 * [taylor]: Taking taylor expansion of 1/2 in J 12.282 * [backup-simplify]: Simplify 1/2 into 1/2 12.282 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 12.282 * [taylor]: Taking taylor expansion of J in J 12.282 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify 1 into 1 12.282 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.282 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.282 * [taylor]: Taking taylor expansion of -1/2 in J 12.282 * [backup-simplify]: Simplify -1/2 into -1/2 12.282 * [taylor]: Taking taylor expansion of K in J 12.282 * [backup-simplify]: Simplify K into K 12.282 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.282 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.282 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.282 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.282 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.282 * [backup-simplify]: Simplify (- 0) into 0 12.283 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.283 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 12.283 * [taylor]: Taking taylor expansion of 0 in J 12.283 * [backup-simplify]: Simplify 0 into 0 12.283 * [taylor]: Taking taylor expansion of 0 in K 12.283 * [backup-simplify]: Simplify 0 into 0 12.283 * [backup-simplify]: Simplify 0 into 0 12.283 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 12.283 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 12.283 * [taylor]: Taking taylor expansion of 1/2 in K 12.283 * [backup-simplify]: Simplify 1/2 into 1/2 12.283 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.283 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.283 * [taylor]: Taking taylor expansion of -1/2 in K 12.283 * [backup-simplify]: Simplify -1/2 into -1/2 12.283 * [taylor]: Taking taylor expansion of K in K 12.283 * [backup-simplify]: Simplify 0 into 0 12.283 * [backup-simplify]: Simplify 1 into 1 12.284 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.284 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.284 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.284 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.285 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.287 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.289 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.290 * [backup-simplify]: Simplify (- 0) into 0 12.290 * [backup-simplify]: Simplify (+ 0 0) into 0 12.290 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.291 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.292 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.293 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.293 * [backup-simplify]: Simplify (+ 1 0) into 1 12.294 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 12.294 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 12.294 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.294 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.294 * [taylor]: Taking taylor expansion of -1/2 in J 12.294 * [backup-simplify]: Simplify -1/2 into -1/2 12.294 * [taylor]: Taking taylor expansion of K in J 12.294 * [backup-simplify]: Simplify K into K 12.294 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.295 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.295 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.295 * [taylor]: Taking taylor expansion of J in J 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 1 into 1 12.295 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.295 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.295 * [backup-simplify]: Simplify (- 0) into 0 12.295 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.295 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.296 * [backup-simplify]: Simplify (+ 0) into 0 12.296 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.297 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.297 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.298 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.298 * [backup-simplify]: Simplify (- 0) into 0 12.299 * [backup-simplify]: Simplify (+ 0 0) into 0 12.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 12.300 * [taylor]: Taking taylor expansion of 0 in K 12.300 * [backup-simplify]: Simplify 0 into 0 12.300 * [backup-simplify]: Simplify 0 into 0 12.300 * [taylor]: Taking taylor expansion of 0 in K 12.300 * [backup-simplify]: Simplify 0 into 0 12.300 * [backup-simplify]: Simplify 0 into 0 12.300 * [backup-simplify]: Simplify (+ 0) into 0 12.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.303 * [backup-simplify]: Simplify (- 0) into 0 12.303 * [backup-simplify]: Simplify (+ 0 0) into 0 12.303 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 12.304 * [taylor]: Taking taylor expansion of 0 in K 12.304 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.307 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.308 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.309 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.311 * [backup-simplify]: Simplify (- 0) into 0 12.311 * [backup-simplify]: Simplify (+ 0 0) into 0 12.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 12.312 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.312 * [backup-simplify]: 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 12.313 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.314 * [backup-simplify]: Simplify (+ 0 0) into 0 12.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 12.314 * [taylor]: Taking taylor expansion of 0 in J 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [taylor]: Taking taylor expansion of 0 in K 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [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))) 12.314 * * * [progress]: simplifying candidates 12.314 * * * * [progress]: [ 1 / 92 ] simplifiying candidate # 12.314 * * * * [progress]: [ 2 / 92 ] simplifiying candidate # 12.314 * * * * [progress]: [ 3 / 92 ] simplifiying candidate # 12.314 * * * * [progress]: [ 4 / 92 ] simplifiying candidate # 12.314 * * * * [progress]: [ 5 / 92 ] simplifiying candidate # 12.314 * * * * [progress]: [ 6 / 92 ] simplifiying candidate # 12.314 * * * * [progress]: [ 7 / 92 ] simplifiying candidate # 12.314 * * * * [progress]: [ 8 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 9 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 10 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 11 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 12 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 13 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 14 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 15 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 16 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 17 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 18 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 19 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 20 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 21 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 22 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 23 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))> 12.315 * * * * [progress]: [ 24 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 25 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 26 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 27 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 28 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 29 / 92 ] simplifiying candidate # 12.315 * * * * [progress]: [ 30 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 31 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 32 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 33 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 34 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 35 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 36 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 37 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 38 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 39 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 40 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 41 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 42 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 43 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 44 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 45 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 46 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))> 12.316 * * * * [progress]: [ 47 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 48 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 49 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 50 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 51 / 92 ] simplifiying candidate # 12.316 * * * * [progress]: [ 52 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 53 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 54 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 55 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 56 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 57 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 58 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 59 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 60 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 61 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 62 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 63 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))> 12.317 * * * * [progress]: [ 64 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 65 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 66 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 67 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 68 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 69 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 70 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 71 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 72 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 73 / 92 ] simplifiying candidate # 12.317 * * * * [progress]: [ 74 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 75 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 76 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 77 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 78 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 79 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 80 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))> 12.318 * * * * [progress]: [ 81 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 82 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 83 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 84 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 85 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 86 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 87 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 88 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 89 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 90 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 91 / 92 ] simplifiying candidate # 12.318 * * * * [progress]: [ 92 / 92 ] simplifiying candidate # 12.322 * [simplify]: Simplifying: (log (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (exp (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt 1) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (real->posit16 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (exp (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt 1) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (real->posit16 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ 1 2) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1 (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 1 (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.324 * * [simplify]: iteration 0: 92 enodes 12.346 * * [simplify]: iteration 1: 178 enodes 12.427 * * [simplify]: iteration 2: 439 enodes 12.708 * * [simplify]: iteration 3: 1614 enodes 13.421 * * [simplify]: iteration complete: 5004 enodes 13.421 * * [simplify]: Extracting #0: cost 35 inf + 0 13.422 * * [simplify]: Extracting #1: cost 147 inf + 3 13.424 * * [simplify]: Extracting #2: cost 566 inf + 643 13.433 * * [simplify]: Extracting #3: cost 1433 inf + 5253 13.449 * * [simplify]: Extracting #4: cost 1783 inf + 26029 13.481 * * [simplify]: Extracting #5: cost 1331 inf + 101596 13.555 * * [simplify]: Extracting #6: cost 687 inf + 295217 13.726 * * [simplify]: Extracting #7: cost 130 inf + 517816 13.899 * * [simplify]: Extracting #8: cost 10 inf + 556881 14.084 * * [simplify]: Extracting #9: cost 0 inf + 559024 14.213 * * [simplify]: Extracting #10: cost 0 inf + 558864 14.386 * [simplify]: Simplified to: (log (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (exp (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (* (cbrt (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (cbrt (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))))) (cbrt (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (sqrt (sqrt (+ 1 (* (/ U 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J))))))) 1 (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (sqrt (sqrt (+ (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) 1))) (sqrt (sqrt (+ 1 (- (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (sqrt (sqrt (- 1 (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (sqrt (sqrt (- 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (sqrt (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 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(/ (/ 1/4 (cos (* K 1/2))) (cos (* K 1/2))))) (* 1/2 (+ (- (log J)) (log U))))) (exp (+ (* 1/4 (log (/ (/ 1/4 (cos (* K 1/2))) (cos (* K 1/2))))) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (exp (+ (* 1/4 (log (/ (/ 1/4 (cos (* K 1/2))) (cos (* K 1/2))))) (* 1/2 (+ (- (log J)) (log U))))) (exp (+ (* 1/4 (log (/ (/ 1/4 (cos (* K 1/2))) (cos (* K 1/2))))) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)) (* (/ 1/2 (cos (* K 1/2))) (/ U J)) 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)) (* (/ 1/2 (cos (* K 1/2))) (/ U J)) 14.406 * * * [progress]: adding candidates to table 15.166 * * [progress]: iteration 4 / 4 15.166 * * * [progress]: picking best candidate 15.225 * * * * [pick]: Picked # 15.225 * * * [progress]: localizing error 15.302 * * * [progress]: generating rewritten candidates 15.303 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 15.835 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 15.907 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 15.908 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2) 15.909 * * * [progress]: generating series expansions 15.909 * * * * [progress]: [ 1 / 4 ] generating series at (2) 15.910 * [backup-simplify]: Simplify (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 15.910 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (J K U) around 0 15.910 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 15.910 * [taylor]: Taking taylor expansion of -2 in U 15.910 * [backup-simplify]: Simplify -2 into -2 15.910 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 15.910 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.910 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.910 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.910 * [taylor]: Taking taylor expansion of 1/2 in U 15.910 * [backup-simplify]: Simplify 1/2 into 1/2 15.910 * [taylor]: Taking taylor expansion of K in U 15.910 * [backup-simplify]: Simplify K into K 15.910 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.910 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.910 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.910 * [taylor]: Taking taylor expansion of J in U 15.910 * [backup-simplify]: Simplify J into J 15.910 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.910 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.910 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.910 * [taylor]: Taking taylor expansion of 1/4 in U 15.910 * [backup-simplify]: Simplify 1/4 into 1/4 15.910 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.910 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.910 * [taylor]: Taking taylor expansion of U in U 15.910 * [backup-simplify]: Simplify 0 into 0 15.911 * [backup-simplify]: Simplify 1 into 1 15.911 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.911 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.911 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.911 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.911 * [taylor]: Taking taylor expansion of 1/2 in U 15.911 * [backup-simplify]: Simplify 1/2 into 1/2 15.911 * [taylor]: Taking taylor expansion of K in U 15.911 * [backup-simplify]: Simplify K into K 15.911 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.911 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.911 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.911 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.911 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.912 * [backup-simplify]: Simplify (- 0) into 0 15.912 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.912 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.912 * [taylor]: Taking taylor expansion of J in U 15.912 * [backup-simplify]: Simplify J into J 15.912 * [backup-simplify]: Simplify (* 1 1) into 1 15.912 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.912 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.912 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.912 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.912 * [taylor]: Taking taylor expansion of 1 in U 15.912 * [backup-simplify]: Simplify 1 into 1 15.913 * [backup-simplify]: Simplify (+ 0 1) into 1 15.913 * [backup-simplify]: Simplify (sqrt 1) into 1 15.913 * [backup-simplify]: Simplify (+ 0 0) into 0 15.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.914 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 15.914 * [taylor]: Taking taylor expansion of -2 in K 15.914 * [backup-simplify]: Simplify -2 into -2 15.914 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 15.914 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.914 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.914 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.914 * [taylor]: Taking taylor expansion of 1/2 in K 15.914 * [backup-simplify]: Simplify 1/2 into 1/2 15.914 * [taylor]: Taking taylor expansion of K in K 15.914 * [backup-simplify]: Simplify 0 into 0 15.914 * [backup-simplify]: Simplify 1 into 1 15.914 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.915 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.915 * [taylor]: Taking taylor expansion of J in K 15.915 * [backup-simplify]: Simplify J into J 15.915 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.915 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.915 * [taylor]: Taking taylor expansion of 1/4 in K 15.915 * [backup-simplify]: Simplify 1/4 into 1/4 15.915 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.915 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.915 * [taylor]: Taking taylor expansion of U in K 15.915 * [backup-simplify]: Simplify U into U 15.915 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.915 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.915 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.915 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.915 * [taylor]: Taking taylor expansion of 1/2 in K 15.915 * [backup-simplify]: Simplify 1/2 into 1/2 15.915 * [taylor]: Taking taylor expansion of K in K 15.915 * [backup-simplify]: Simplify 0 into 0 15.915 * [backup-simplify]: Simplify 1 into 1 15.915 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.916 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.916 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.916 * [taylor]: Taking taylor expansion of J in K 15.916 * [backup-simplify]: Simplify J into J 15.916 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.916 * [backup-simplify]: Simplify (* 1 1) into 1 15.916 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.916 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.917 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.917 * [taylor]: Taking taylor expansion of 1 in K 15.917 * [backup-simplify]: Simplify 1 into 1 15.917 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.917 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.917 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.917 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.917 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.917 * [backup-simplify]: Simplify (+ 0) into 0 15.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.918 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.919 * [backup-simplify]: Simplify (+ 0 0) into 0 15.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.919 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 15.919 * [taylor]: Taking taylor expansion of -2 in J 15.919 * [backup-simplify]: Simplify -2 into -2 15.919 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 15.919 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.919 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.919 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.919 * [taylor]: Taking taylor expansion of 1/2 in J 15.919 * [backup-simplify]: Simplify 1/2 into 1/2 15.919 * [taylor]: Taking taylor expansion of K in J 15.919 * [backup-simplify]: Simplify K into K 15.919 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.919 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.919 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.919 * [taylor]: Taking taylor expansion of J in J 15.919 * [backup-simplify]: Simplify 0 into 0 15.919 * [backup-simplify]: Simplify 1 into 1 15.919 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.919 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.919 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.919 * [taylor]: Taking taylor expansion of 1/4 in J 15.919 * [backup-simplify]: Simplify 1/4 into 1/4 15.919 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.919 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.919 * [taylor]: Taking taylor expansion of U in J 15.919 * [backup-simplify]: Simplify U into U 15.919 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.920 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.920 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.920 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.920 * [taylor]: Taking taylor expansion of 1/2 in J 15.920 * [backup-simplify]: Simplify 1/2 into 1/2 15.920 * [taylor]: Taking taylor expansion of K in J 15.920 * [backup-simplify]: Simplify K into K 15.920 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.920 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.920 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.920 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.920 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.920 * [backup-simplify]: Simplify (- 0) into 0 15.920 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.920 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.920 * [taylor]: Taking taylor expansion of J in J 15.920 * [backup-simplify]: Simplify 0 into 0 15.920 * [backup-simplify]: Simplify 1 into 1 15.920 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.920 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.921 * [backup-simplify]: Simplify (* 1 1) into 1 15.921 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.921 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.921 * [taylor]: Taking taylor expansion of 1 in J 15.921 * [backup-simplify]: Simplify 1 into 1 15.921 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.921 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.921 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.921 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.922 * [backup-simplify]: Simplify (+ 0) into 0 15.922 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.923 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.923 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.924 * [backup-simplify]: Simplify (- 0) into 0 15.924 * [backup-simplify]: Simplify (+ 0 0) into 0 15.924 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.924 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.925 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.925 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.925 * [backup-simplify]: Simplify (+ 0 0) into 0 15.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.925 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 15.925 * [taylor]: Taking taylor expansion of -2 in J 15.925 * [backup-simplify]: Simplify -2 into -2 15.925 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 15.925 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.925 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.925 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.925 * [taylor]: Taking taylor expansion of 1/2 in J 15.925 * [backup-simplify]: Simplify 1/2 into 1/2 15.925 * [taylor]: Taking taylor expansion of K in J 15.926 * [backup-simplify]: Simplify K into K 15.926 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.926 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.926 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.926 * [taylor]: Taking taylor expansion of J in J 15.926 * [backup-simplify]: Simplify 0 into 0 15.926 * [backup-simplify]: Simplify 1 into 1 15.926 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.926 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.926 * [taylor]: Taking taylor expansion of 1/4 in J 15.926 * [backup-simplify]: Simplify 1/4 into 1/4 15.926 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.926 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.926 * [taylor]: Taking taylor expansion of U in J 15.926 * [backup-simplify]: Simplify U into U 15.926 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.926 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.926 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.926 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.926 * [taylor]: Taking taylor expansion of 1/2 in J 15.926 * [backup-simplify]: Simplify 1/2 into 1/2 15.926 * [taylor]: Taking taylor expansion of K in J 15.926 * [backup-simplify]: Simplify K into K 15.926 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.926 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.926 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.926 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.926 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.926 * [backup-simplify]: Simplify (- 0) into 0 15.926 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.927 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.927 * [taylor]: Taking taylor expansion of J in J 15.927 * [backup-simplify]: Simplify 0 into 0 15.927 * [backup-simplify]: Simplify 1 into 1 15.927 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.927 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.927 * [backup-simplify]: Simplify (* 1 1) into 1 15.927 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.927 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.927 * [taylor]: Taking taylor expansion of 1 in J 15.927 * [backup-simplify]: Simplify 1 into 1 15.927 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.927 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.928 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.928 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.928 * [backup-simplify]: Simplify (+ 0) into 0 15.929 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.930 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.930 * [backup-simplify]: Simplify (- 0) into 0 15.930 * [backup-simplify]: Simplify (+ 0 0) into 0 15.930 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.931 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.931 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.931 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.931 * [backup-simplify]: Simplify (+ 0 0) into 0 15.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.932 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.932 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.932 * [backup-simplify]: Simplify (- 0) into 0 15.932 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.932 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.932 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 15.933 * [backup-simplify]: Simplify (* -2 0) into 0 15.933 * [taylor]: Taking taylor expansion of 0 in K 15.933 * [backup-simplify]: Simplify 0 into 0 15.933 * [taylor]: Taking taylor expansion of 0 in U 15.933 * [backup-simplify]: Simplify 0 into 0 15.933 * [backup-simplify]: Simplify 0 into 0 15.933 * [backup-simplify]: Simplify (+ 0) into 0 15.933 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.934 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.934 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.935 * [backup-simplify]: Simplify (- 0) into 0 15.935 * [backup-simplify]: Simplify (+ 0 0) into 0 15.935 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.935 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 15.936 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 15.936 * [taylor]: Taking taylor expansion of (- U) in K 15.936 * [taylor]: Taking taylor expansion of U in K 15.936 * [backup-simplify]: Simplify U into U 15.936 * [backup-simplify]: Simplify (- U) into (- U) 15.936 * [taylor]: Taking taylor expansion of (- U) in U 15.936 * [taylor]: Taking taylor expansion of U in U 15.936 * [backup-simplify]: Simplify 0 into 0 15.936 * [backup-simplify]: Simplify 1 into 1 15.936 * [backup-simplify]: Simplify (- 0) into 0 15.936 * [backup-simplify]: Simplify 0 into 0 15.936 * [taylor]: Taking taylor expansion of 0 in U 15.936 * [backup-simplify]: Simplify 0 into 0 15.936 * [backup-simplify]: Simplify 0 into 0 15.936 * [backup-simplify]: Simplify 0 into 0 15.937 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 15.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.938 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.938 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.939 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.939 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.940 * [backup-simplify]: Simplify (- 0) into 0 15.940 * [backup-simplify]: Simplify (+ 0 0) into 0 15.940 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 15.941 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.941 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.942 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 15.942 * [backup-simplify]: Simplify (+ 0 1) into 1 15.943 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 15.944 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.944 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.945 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.946 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.946 * [backup-simplify]: Simplify (- 0) into 0 15.946 * [backup-simplify]: Simplify (+ 0 0) into 0 15.947 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.947 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 15.947 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 15.947 * [taylor]: Taking taylor expansion of 0 in K 15.948 * [backup-simplify]: Simplify 0 into 0 15.948 * [taylor]: Taking taylor expansion of 0 in U 15.948 * [backup-simplify]: Simplify 0 into 0 15.948 * [backup-simplify]: Simplify 0 into 0 15.948 * [backup-simplify]: Simplify (- 0) into 0 15.948 * [taylor]: Taking taylor expansion of 0 in U 15.948 * [backup-simplify]: Simplify 0 into 0 15.948 * [backup-simplify]: Simplify 0 into 0 15.948 * [backup-simplify]: Simplify 0 into 0 15.949 * [backup-simplify]: Simplify (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 15.949 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (J K U) around 0 15.949 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 15.949 * [taylor]: Taking taylor expansion of -2 in U 15.949 * [backup-simplify]: Simplify -2 into -2 15.949 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 15.949 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.949 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.949 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.949 * [taylor]: Taking taylor expansion of 1/4 in U 15.949 * [backup-simplify]: Simplify 1/4 into 1/4 15.949 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.949 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.949 * [taylor]: Taking taylor expansion of J in U 15.949 * [backup-simplify]: Simplify J into J 15.949 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.949 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.949 * [taylor]: Taking taylor expansion of U in U 15.949 * [backup-simplify]: Simplify 0 into 0 15.949 * [backup-simplify]: Simplify 1 into 1 15.949 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.949 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.949 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.949 * [taylor]: Taking taylor expansion of 1/2 in U 15.949 * [backup-simplify]: Simplify 1/2 into 1/2 15.949 * [taylor]: Taking taylor expansion of K in U 15.949 * [backup-simplify]: Simplify K into K 15.949 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.949 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.949 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.949 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.949 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.950 * [backup-simplify]: Simplify (- 0) into 0 15.950 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.950 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.950 * [backup-simplify]: Simplify (* 1 1) into 1 15.950 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.950 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.950 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.950 * [taylor]: Taking taylor expansion of 1 in U 15.950 * [backup-simplify]: Simplify 1 into 1 15.950 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.951 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.951 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.951 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.951 * [backup-simplify]: Simplify (+ 0) into 0 15.951 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.952 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.952 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.953 * [backup-simplify]: Simplify (- 0) into 0 15.953 * [backup-simplify]: Simplify (+ 0 0) into 0 15.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.954 * [backup-simplify]: 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 15.954 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.955 * [backup-simplify]: Simplify (+ 0 0) into 0 15.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.955 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 15.955 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.955 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.955 * [taylor]: Taking taylor expansion of 1/2 in U 15.955 * [backup-simplify]: Simplify 1/2 into 1/2 15.955 * [taylor]: Taking taylor expansion of K in U 15.955 * [backup-simplify]: Simplify K into K 15.955 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.955 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.955 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.955 * [taylor]: Taking taylor expansion of J in U 15.955 * [backup-simplify]: Simplify J into J 15.955 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.955 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.956 * [backup-simplify]: Simplify (- 0) into 0 15.956 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.956 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 15.956 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 15.956 * [taylor]: Taking taylor expansion of -2 in K 15.956 * [backup-simplify]: Simplify -2 into -2 15.956 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 15.956 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.956 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.956 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.956 * [taylor]: Taking taylor expansion of 1/4 in K 15.956 * [backup-simplify]: Simplify 1/4 into 1/4 15.956 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.956 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.956 * [taylor]: Taking taylor expansion of J in K 15.956 * [backup-simplify]: Simplify J into J 15.956 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.956 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.956 * [taylor]: Taking taylor expansion of U in K 15.956 * [backup-simplify]: Simplify U into U 15.956 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.956 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.956 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.956 * [taylor]: Taking taylor expansion of 1/2 in K 15.956 * [backup-simplify]: Simplify 1/2 into 1/2 15.956 * [taylor]: Taking taylor expansion of K in K 15.956 * [backup-simplify]: Simplify 0 into 0 15.956 * [backup-simplify]: Simplify 1 into 1 15.957 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.957 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.957 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.957 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.957 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.957 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.957 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.957 * [taylor]: Taking taylor expansion of 1 in K 15.957 * [backup-simplify]: Simplify 1 into 1 15.957 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 15.958 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 15.958 * [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)) 15.958 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.958 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.958 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.958 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.959 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.959 * [backup-simplify]: Simplify (+ 0 0) into 0 15.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.960 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 15.960 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.960 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.960 * [taylor]: Taking taylor expansion of 1/2 in K 15.960 * [backup-simplify]: Simplify 1/2 into 1/2 15.960 * [taylor]: Taking taylor expansion of K in K 15.960 * [backup-simplify]: Simplify 0 into 0 15.960 * [backup-simplify]: Simplify 1 into 1 15.960 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.960 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.960 * [taylor]: Taking taylor expansion of J in K 15.960 * [backup-simplify]: Simplify J into J 15.960 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 15.960 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 15.960 * [taylor]: Taking taylor expansion of -2 in J 15.960 * [backup-simplify]: Simplify -2 into -2 15.960 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 15.960 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.960 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.960 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.960 * [taylor]: Taking taylor expansion of 1/4 in J 15.960 * [backup-simplify]: Simplify 1/4 into 1/4 15.960 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.960 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.960 * [taylor]: Taking taylor expansion of J in J 15.960 * [backup-simplify]: Simplify 0 into 0 15.960 * [backup-simplify]: Simplify 1 into 1 15.960 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.960 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.960 * [taylor]: Taking taylor expansion of U in J 15.960 * [backup-simplify]: Simplify U into U 15.960 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.960 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.960 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.960 * [taylor]: Taking taylor expansion of 1/2 in J 15.960 * [backup-simplify]: Simplify 1/2 into 1/2 15.961 * [taylor]: Taking taylor expansion of K in J 15.961 * [backup-simplify]: Simplify K into K 15.961 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.961 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.961 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.961 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.961 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.961 * [backup-simplify]: Simplify (- 0) into 0 15.961 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.961 * [backup-simplify]: Simplify (* 1 1) into 1 15.961 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.961 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.962 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.962 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.962 * [taylor]: Taking taylor expansion of 1 in J 15.962 * [backup-simplify]: Simplify 1 into 1 15.962 * [backup-simplify]: Simplify (+ 0 1) into 1 15.962 * [backup-simplify]: Simplify (sqrt 1) into 1 15.963 * [backup-simplify]: Simplify (+ 0 0) into 0 15.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.963 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.963 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.963 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.963 * [taylor]: Taking taylor expansion of 1/2 in J 15.963 * [backup-simplify]: Simplify 1/2 into 1/2 15.963 * [taylor]: Taking taylor expansion of K in J 15.963 * [backup-simplify]: Simplify K into K 15.963 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.963 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.963 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.963 * [taylor]: Taking taylor expansion of J in J 15.963 * [backup-simplify]: Simplify 0 into 0 15.963 * [backup-simplify]: Simplify 1 into 1 15.963 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.963 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.964 * [backup-simplify]: Simplify (- 0) into 0 15.964 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.964 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.964 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 15.964 * [taylor]: Taking taylor expansion of -2 in J 15.964 * [backup-simplify]: Simplify -2 into -2 15.964 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 15.964 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.964 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.964 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.964 * [taylor]: Taking taylor expansion of 1/4 in J 15.964 * [backup-simplify]: Simplify 1/4 into 1/4 15.964 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.964 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.964 * [taylor]: Taking taylor expansion of J in J 15.964 * [backup-simplify]: Simplify 0 into 0 15.964 * [backup-simplify]: Simplify 1 into 1 15.964 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.964 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.964 * [taylor]: Taking taylor expansion of U in J 15.964 * [backup-simplify]: Simplify U into U 15.964 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.964 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.964 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.964 * [taylor]: Taking taylor expansion of 1/2 in J 15.964 * [backup-simplify]: Simplify 1/2 into 1/2 15.964 * [taylor]: Taking taylor expansion of K in J 15.964 * [backup-simplify]: Simplify K into K 15.964 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.964 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.964 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.964 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.964 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.965 * [backup-simplify]: Simplify (- 0) into 0 15.965 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.965 * [backup-simplify]: Simplify (* 1 1) into 1 15.965 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.965 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.965 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.966 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.966 * [taylor]: Taking taylor expansion of 1 in J 15.966 * [backup-simplify]: Simplify 1 into 1 15.967 * [backup-simplify]: Simplify (+ 0 1) into 1 15.968 * [backup-simplify]: Simplify (sqrt 1) into 1 15.968 * [backup-simplify]: Simplify (+ 0 0) into 0 15.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.968 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.968 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.968 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.969 * [taylor]: Taking taylor expansion of 1/2 in J 15.969 * [backup-simplify]: Simplify 1/2 into 1/2 15.969 * [taylor]: Taking taylor expansion of K in J 15.969 * [backup-simplify]: Simplify K into K 15.969 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.969 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.969 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.969 * [taylor]: Taking taylor expansion of J in J 15.969 * [backup-simplify]: Simplify 0 into 0 15.969 * [backup-simplify]: Simplify 1 into 1 15.969 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.969 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.969 * [backup-simplify]: Simplify (- 0) into 0 15.969 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.969 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.969 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 15.970 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 15.970 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 15.970 * [taylor]: Taking taylor expansion of -2 in K 15.970 * [backup-simplify]: Simplify -2 into -2 15.970 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.970 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.970 * [taylor]: Taking taylor expansion of 1/2 in K 15.970 * [backup-simplify]: Simplify 1/2 into 1/2 15.970 * [taylor]: Taking taylor expansion of K in K 15.970 * [backup-simplify]: Simplify 0 into 0 15.970 * [backup-simplify]: Simplify 1 into 1 15.970 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.970 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.970 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 15.970 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 15.970 * [taylor]: Taking taylor expansion of -2 in U 15.970 * [backup-simplify]: Simplify -2 into -2 15.970 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.970 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.970 * [taylor]: Taking taylor expansion of 1/2 in U 15.970 * [backup-simplify]: Simplify 1/2 into 1/2 15.970 * [taylor]: Taking taylor expansion of K in U 15.970 * [backup-simplify]: Simplify K into K 15.970 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.970 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.970 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.971 * [backup-simplify]: Simplify (+ 0) into 0 15.971 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.972 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.972 * [backup-simplify]: Simplify (- 0) into 0 15.972 * [backup-simplify]: Simplify (+ 0 0) into 0 15.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 15.974 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 15.974 * [taylor]: Taking taylor expansion of 0 in K 15.974 * [backup-simplify]: Simplify 0 into 0 15.974 * [taylor]: Taking taylor expansion of 0 in U 15.974 * [backup-simplify]: Simplify 0 into 0 15.974 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 15.974 * [taylor]: Taking taylor expansion of 0 in U 15.974 * [backup-simplify]: Simplify 0 into 0 15.974 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.974 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.975 * [backup-simplify]: Simplify (- 0) into 0 15.975 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.975 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 15.975 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 15.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.976 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.976 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.976 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.977 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.977 * [backup-simplify]: Simplify (- 0) into 0 15.977 * [backup-simplify]: Simplify (+ 0 0) into 0 15.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.978 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.979 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 15.979 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 15.980 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 15.981 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 15.981 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 15.981 * [taylor]: Taking taylor expansion of 1/4 in K 15.981 * [backup-simplify]: Simplify 1/4 into 1/4 15.981 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 15.981 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 15.981 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.981 * [taylor]: Taking taylor expansion of U in K 15.981 * [backup-simplify]: Simplify U into U 15.981 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.981 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.981 * [taylor]: Taking taylor expansion of 1/2 in K 15.981 * [backup-simplify]: Simplify 1/2 into 1/2 15.981 * [taylor]: Taking taylor expansion of K in K 15.981 * [backup-simplify]: Simplify 0 into 0 15.981 * [backup-simplify]: Simplify 1 into 1 15.981 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.981 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.981 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.981 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 15.981 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 15.981 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 15.982 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 15.982 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 15.982 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 15.982 * [taylor]: Taking taylor expansion of 1/4 in U 15.982 * [backup-simplify]: Simplify 1/4 into 1/4 15.982 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 15.982 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 15.982 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.982 * [taylor]: Taking taylor expansion of U in U 15.982 * [backup-simplify]: Simplify 0 into 0 15.982 * [backup-simplify]: Simplify 1 into 1 15.982 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.982 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.982 * [taylor]: Taking taylor expansion of 1/2 in U 15.982 * [backup-simplify]: Simplify 1/2 into 1/2 15.982 * [taylor]: Taking taylor expansion of K in U 15.982 * [backup-simplify]: Simplify K into K 15.982 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.982 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.982 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.982 * [backup-simplify]: Simplify (* 1 1) into 1 15.982 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.982 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.983 * [backup-simplify]: Simplify (- 0) into 0 15.983 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.983 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 15.983 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.983 * [backup-simplify]: Simplify (+ 0) into 0 15.984 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.984 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.985 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.986 * [backup-simplify]: Simplify (- 0) into 0 15.986 * [backup-simplify]: Simplify (+ 0 0) into 0 15.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 15.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.987 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.987 * [backup-simplify]: Simplify (- 0) into 0 15.987 * [backup-simplify]: Simplify 0 into 0 15.988 * [taylor]: Taking taylor expansion of 0 in U 15.988 * [backup-simplify]: Simplify 0 into 0 15.988 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.988 * [taylor]: Taking taylor expansion of 0 in U 15.988 * [backup-simplify]: Simplify 0 into 0 15.988 * [backup-simplify]: Simplify 0 into 0 15.988 * [backup-simplify]: Simplify 0 into 0 15.992 * [backup-simplify]: Simplify (+ 0) into 0 15.993 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.993 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.994 * [backup-simplify]: Simplify (- 0) into 0 15.994 * [backup-simplify]: Simplify (+ 0 0) into 0 15.995 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 15.995 * [backup-simplify]: Simplify 0 into 0 15.995 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.996 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.997 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.998 * [backup-simplify]: Simplify (- 0) into 0 15.998 * [backup-simplify]: Simplify (+ 0 0) into 0 15.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.000 * [backup-simplify]: Simplify (+ 0) into 0 16.000 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.000 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.001 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.001 * [backup-simplify]: Simplify (- 0) into 0 16.001 * [backup-simplify]: Simplify (+ 0 0) into 0 16.001 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.002 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.002 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 16.002 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 16.003 * [backup-simplify]: Simplify (+ 0 0) into 0 16.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 16.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.004 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.004 * [taylor]: Taking taylor expansion of 0 in K 16.004 * [backup-simplify]: Simplify 0 into 0 16.004 * [taylor]: Taking taylor expansion of 0 in U 16.005 * [backup-simplify]: Simplify 0 into 0 16.005 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.005 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 16.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 16.005 * [backup-simplify]: Simplify (- 0) into 0 16.006 * [taylor]: Taking taylor expansion of 0 in U 16.006 * [backup-simplify]: Simplify 0 into 0 16.006 * [taylor]: Taking taylor expansion of 0 in U 16.006 * [backup-simplify]: Simplify 0 into 0 16.007 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.007 * [taylor]: Taking taylor expansion of 0 in U 16.007 * [backup-simplify]: Simplify 0 into 0 16.008 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.008 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.009 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.009 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.010 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.010 * [backup-simplify]: Simplify (- 0) into 0 16.011 * [backup-simplify]: Simplify (+ 0 0) into 0 16.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 16.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 16.014 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 16.014 * [backup-simplify]: Simplify (- 0) into 0 16.014 * [backup-simplify]: Simplify 0 into 0 16.014 * [backup-simplify]: Simplify 0 into 0 16.015 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 16.016 * [backup-simplify]: Simplify (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 16.016 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J K U) around 0 16.016 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 16.016 * [taylor]: Taking taylor expansion of 2 in U 16.016 * [backup-simplify]: Simplify 2 into 2 16.016 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 16.016 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 16.016 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.016 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.016 * [taylor]: Taking taylor expansion of -1/2 in U 16.016 * [backup-simplify]: Simplify -1/2 into -1/2 16.016 * [taylor]: Taking taylor expansion of K in U 16.016 * [backup-simplify]: Simplify K into K 16.016 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.016 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.016 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.016 * [taylor]: Taking taylor expansion of J in U 16.016 * [backup-simplify]: Simplify J into J 16.017 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.017 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.017 * [backup-simplify]: Simplify (- 0) into 0 16.017 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.017 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 16.018 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 16.018 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 16.018 * [taylor]: Taking taylor expansion of 1 in U 16.018 * [backup-simplify]: Simplify 1 into 1 16.018 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 16.018 * [taylor]: Taking taylor expansion of 1/4 in U 16.018 * [backup-simplify]: Simplify 1/4 into 1/4 16.018 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 16.018 * [taylor]: Taking taylor expansion of (pow J 2) in U 16.018 * [taylor]: Taking taylor expansion of J in U 16.018 * [backup-simplify]: Simplify J into J 16.018 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 16.018 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 16.018 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.018 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.018 * [taylor]: Taking taylor expansion of -1/2 in U 16.018 * [backup-simplify]: Simplify -1/2 into -1/2 16.018 * [taylor]: Taking taylor expansion of K in U 16.018 * [backup-simplify]: Simplify K into K 16.018 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.018 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.018 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.018 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.019 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.019 * [backup-simplify]: Simplify (- 0) into 0 16.019 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.019 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.019 * [taylor]: Taking taylor expansion of U in U 16.019 * [backup-simplify]: Simplify 0 into 0 16.019 * [backup-simplify]: Simplify 1 into 1 16.019 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.020 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.020 * [backup-simplify]: Simplify (* 1 1) into 1 16.020 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 16.020 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 16.020 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 16.021 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 16.021 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.021 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.022 * [backup-simplify]: Simplify (+ 0) into 0 16.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.023 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.024 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.024 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.025 * [backup-simplify]: Simplify (- 0) into 0 16.025 * [backup-simplify]: Simplify (+ 0 0) into 0 16.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 16.026 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 16.027 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 16.028 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 16.028 * [backup-simplify]: Simplify (+ 0 0) into 0 16.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 16.028 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 16.028 * [taylor]: Taking taylor expansion of 2 in K 16.028 * [backup-simplify]: Simplify 2 into 2 16.028 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 16.028 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 16.028 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.029 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.029 * [taylor]: Taking taylor expansion of -1/2 in K 16.029 * [backup-simplify]: Simplify -1/2 into -1/2 16.029 * [taylor]: Taking taylor expansion of K in K 16.029 * [backup-simplify]: Simplify 0 into 0 16.029 * [backup-simplify]: Simplify 1 into 1 16.029 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.029 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.029 * [taylor]: Taking taylor expansion of J in K 16.029 * [backup-simplify]: Simplify J into J 16.029 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 16.029 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 16.029 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 16.029 * [taylor]: Taking taylor expansion of 1 in K 16.030 * [backup-simplify]: Simplify 1 into 1 16.030 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 16.030 * [taylor]: Taking taylor expansion of 1/4 in K 16.030 * [backup-simplify]: Simplify 1/4 into 1/4 16.030 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 16.030 * [taylor]: Taking taylor expansion of (pow J 2) in K 16.030 * [taylor]: Taking taylor expansion of J in K 16.030 * [backup-simplify]: Simplify J into J 16.030 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 16.030 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 16.030 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.030 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.030 * [taylor]: Taking taylor expansion of -1/2 in K 16.030 * [backup-simplify]: Simplify -1/2 into -1/2 16.030 * [taylor]: Taking taylor expansion of K in K 16.030 * [backup-simplify]: Simplify 0 into 0 16.030 * [backup-simplify]: Simplify 1 into 1 16.031 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.031 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.031 * [taylor]: Taking taylor expansion of (pow U 2) in K 16.031 * [taylor]: Taking taylor expansion of U in K 16.031 * [backup-simplify]: Simplify U into U 16.031 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.031 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.031 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.031 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 16.031 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.032 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 16.032 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 16.033 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 16.033 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.033 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 16.033 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 16.034 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 16.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 16.035 * [backup-simplify]: Simplify (+ 0 0) into 0 16.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 16.036 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 16.036 * [taylor]: Taking taylor expansion of 2 in J 16.036 * [backup-simplify]: Simplify 2 into 2 16.036 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 16.036 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 16.036 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.036 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.036 * [taylor]: Taking taylor expansion of -1/2 in J 16.036 * [backup-simplify]: Simplify -1/2 into -1/2 16.036 * [taylor]: Taking taylor expansion of K in J 16.036 * [backup-simplify]: Simplify K into K 16.036 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.036 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.036 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.036 * [taylor]: Taking taylor expansion of J in J 16.037 * [backup-simplify]: Simplify 0 into 0 16.037 * [backup-simplify]: Simplify 1 into 1 16.037 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.037 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.037 * [backup-simplify]: Simplify (- 0) into 0 16.037 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.038 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.038 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 16.038 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 16.038 * [taylor]: Taking taylor expansion of 1 in J 16.038 * [backup-simplify]: Simplify 1 into 1 16.038 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 16.038 * [taylor]: Taking taylor expansion of 1/4 in J 16.038 * [backup-simplify]: Simplify 1/4 into 1/4 16.038 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 16.038 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.038 * [taylor]: Taking taylor expansion of J in J 16.038 * [backup-simplify]: Simplify 0 into 0 16.038 * [backup-simplify]: Simplify 1 into 1 16.038 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 16.038 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 16.038 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.038 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.038 * [taylor]: Taking taylor expansion of -1/2 in J 16.038 * [backup-simplify]: Simplify -1/2 into -1/2 16.038 * [taylor]: Taking taylor expansion of K in J 16.038 * [backup-simplify]: Simplify K into K 16.038 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.038 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.038 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.038 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.039 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.039 * [backup-simplify]: Simplify (- 0) into 0 16.039 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.039 * [taylor]: Taking taylor expansion of (pow U 2) in J 16.039 * [taylor]: Taking taylor expansion of U in J 16.039 * [backup-simplify]: Simplify U into U 16.041 * [backup-simplify]: Simplify (* 1 1) into 1 16.042 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.042 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.042 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 16.042 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.043 * [backup-simplify]: Simplify (+ 1 0) into 1 16.043 * [backup-simplify]: Simplify (sqrt 1) into 1 16.044 * [backup-simplify]: Simplify (+ 0 0) into 0 16.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.044 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 16.044 * [taylor]: Taking taylor expansion of 2 in J 16.045 * [backup-simplify]: Simplify 2 into 2 16.045 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 16.045 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 16.045 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.045 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.045 * [taylor]: Taking taylor expansion of -1/2 in J 16.045 * [backup-simplify]: Simplify -1/2 into -1/2 16.045 * [taylor]: Taking taylor expansion of K in J 16.045 * [backup-simplify]: Simplify K into K 16.045 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.045 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.045 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.045 * [taylor]: Taking taylor expansion of J in J 16.045 * [backup-simplify]: Simplify 0 into 0 16.045 * [backup-simplify]: Simplify 1 into 1 16.045 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.045 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.046 * [backup-simplify]: Simplify (- 0) into 0 16.046 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.046 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.046 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 16.046 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 16.046 * [taylor]: Taking taylor expansion of 1 in J 16.046 * [backup-simplify]: Simplify 1 into 1 16.046 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 16.046 * [taylor]: Taking taylor expansion of 1/4 in J 16.046 * [backup-simplify]: Simplify 1/4 into 1/4 16.046 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 16.046 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.046 * [taylor]: Taking taylor expansion of J in J 16.046 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify 1 into 1 16.046 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 16.046 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 16.046 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.046 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.046 * [taylor]: Taking taylor expansion of -1/2 in J 16.046 * [backup-simplify]: Simplify -1/2 into -1/2 16.046 * [taylor]: Taking taylor expansion of K in J 16.047 * [backup-simplify]: Simplify K into K 16.047 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.047 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.047 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.047 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.047 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.047 * [backup-simplify]: Simplify (- 0) into 0 16.048 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.048 * [taylor]: Taking taylor expansion of (pow U 2) in J 16.048 * [taylor]: Taking taylor expansion of U in J 16.048 * [backup-simplify]: Simplify U into U 16.048 * [backup-simplify]: Simplify (* 1 1) into 1 16.048 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.048 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.048 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 16.049 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.049 * [backup-simplify]: Simplify (+ 1 0) into 1 16.049 * [backup-simplify]: Simplify (sqrt 1) into 1 16.050 * [backup-simplify]: Simplify (+ 0 0) into 0 16.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.051 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.051 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 16.051 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 16.051 * [taylor]: Taking taylor expansion of 2 in K 16.051 * [backup-simplify]: Simplify 2 into 2 16.051 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.051 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.051 * [taylor]: Taking taylor expansion of -1/2 in K 16.051 * [backup-simplify]: Simplify -1/2 into -1/2 16.051 * [taylor]: Taking taylor expansion of K in K 16.051 * [backup-simplify]: Simplify 0 into 0 16.051 * [backup-simplify]: Simplify 1 into 1 16.052 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.052 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.052 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 16.052 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 16.052 * [taylor]: Taking taylor expansion of 2 in U 16.052 * [backup-simplify]: Simplify 2 into 2 16.052 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.052 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.052 * [taylor]: Taking taylor expansion of -1/2 in U 16.052 * [backup-simplify]: Simplify -1/2 into -1/2 16.052 * [taylor]: Taking taylor expansion of K in U 16.052 * [backup-simplify]: Simplify K into K 16.052 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.052 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.052 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.053 * [backup-simplify]: Simplify (+ 0) into 0 16.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.054 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.055 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.055 * [backup-simplify]: Simplify (- 0) into 0 16.056 * [backup-simplify]: Simplify (+ 0 0) into 0 16.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 16.057 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.058 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 16.058 * [taylor]: Taking taylor expansion of 0 in K 16.058 * [backup-simplify]: Simplify 0 into 0 16.058 * [taylor]: Taking taylor expansion of 0 in U 16.058 * [backup-simplify]: Simplify 0 into 0 16.059 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 16.059 * [taylor]: Taking taylor expansion of 0 in U 16.059 * [backup-simplify]: Simplify 0 into 0 16.059 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.059 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.060 * [backup-simplify]: Simplify (- 0) into 0 16.060 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.060 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 16.060 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 16.060 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.060 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 16.062 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.064 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.064 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.065 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.066 * [backup-simplify]: Simplify (- 0) into 0 16.067 * [backup-simplify]: Simplify (+ 0 0) into 0 16.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 16.070 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 16.070 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 16.070 * [taylor]: Taking taylor expansion of 1/4 in K 16.070 * [backup-simplify]: Simplify 1/4 into 1/4 16.070 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 16.070 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 16.070 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.070 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.070 * [taylor]: Taking taylor expansion of -1/2 in K 16.070 * [backup-simplify]: Simplify -1/2 into -1/2 16.070 * [taylor]: Taking taylor expansion of K in K 16.070 * [backup-simplify]: Simplify 0 into 0 16.070 * [backup-simplify]: Simplify 1 into 1 16.071 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.071 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.071 * [taylor]: Taking taylor expansion of (pow U 2) in K 16.071 * [taylor]: Taking taylor expansion of U in K 16.071 * [backup-simplify]: Simplify U into U 16.071 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.071 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 16.071 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 16.072 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 16.072 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 16.072 * [taylor]: Taking taylor expansion of 1/4 in U 16.072 * [backup-simplify]: Simplify 1/4 into 1/4 16.072 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 16.072 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.072 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.072 * [taylor]: Taking taylor expansion of -1/2 in U 16.072 * [backup-simplify]: Simplify -1/2 into -1/2 16.072 * [taylor]: Taking taylor expansion of K in U 16.072 * [backup-simplify]: Simplify K into K 16.072 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.072 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.072 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.072 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.072 * [taylor]: Taking taylor expansion of U in U 16.072 * [backup-simplify]: Simplify 0 into 0 16.072 * [backup-simplify]: Simplify 1 into 1 16.072 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.072 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.073 * [backup-simplify]: Simplify (- 0) into 0 16.073 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.073 * [backup-simplify]: Simplify (* 1 1) into 1 16.073 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.073 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 16.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.075 * [backup-simplify]: Simplify (+ 0) into 0 16.075 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.075 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.077 * [backup-simplify]: Simplify (- 0) into 0 16.078 * [backup-simplify]: Simplify (+ 0 0) into 0 16.078 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.079 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.079 * [backup-simplify]: Simplify 0 into 0 16.079 * [taylor]: Taking taylor expansion of 0 in U 16.079 * [backup-simplify]: Simplify 0 into 0 16.080 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 16.080 * [taylor]: Taking taylor expansion of 0 in U 16.080 * [backup-simplify]: Simplify 0 into 0 16.080 * [backup-simplify]: Simplify 0 into 0 16.080 * [backup-simplify]: Simplify 0 into 0 16.080 * [backup-simplify]: Simplify (+ 0) into 0 16.081 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.081 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.082 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.082 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.083 * [backup-simplify]: Simplify (- 0) into 0 16.083 * [backup-simplify]: Simplify (+ 0 0) into 0 16.084 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 16.084 * [backup-simplify]: Simplify 0 into 0 16.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.085 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.085 * [backup-simplify]: Simplify (+ 0) into 0 16.086 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.086 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.086 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.087 * [backup-simplify]: Simplify (- 0) into 0 16.088 * [backup-simplify]: Simplify (+ 0 0) into 0 16.088 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 16.088 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 16.089 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 16.089 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 16.090 * [backup-simplify]: Simplify (+ 0 0) into 0 16.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 16.091 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.091 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.091 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.093 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.093 * [backup-simplify]: Simplify (- 0) into 0 16.093 * [backup-simplify]: Simplify (+ 0 0) into 0 16.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.095 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 16.096 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 16.096 * [taylor]: Taking taylor expansion of 0 in K 16.096 * [backup-simplify]: Simplify 0 into 0 16.096 * [taylor]: Taking taylor expansion of 0 in U 16.096 * [backup-simplify]: Simplify 0 into 0 16.096 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 16.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 16.096 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 16.096 * [taylor]: Taking taylor expansion of 0 in U 16.096 * [backup-simplify]: Simplify 0 into 0 16.096 * [taylor]: Taking taylor expansion of 0 in U 16.096 * [backup-simplify]: Simplify 0 into 0 16.097 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 16.097 * [taylor]: Taking taylor expansion of 0 in U 16.097 * [backup-simplify]: Simplify 0 into 0 16.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.099 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.100 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.100 * [backup-simplify]: Simplify (- 0) into 0 16.100 * [backup-simplify]: Simplify (+ 0 0) into 0 16.101 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.101 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 16.101 * [backup-simplify]: Simplify 0 into 0 16.101 * [backup-simplify]: Simplify 0 into 0 16.101 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 16.101 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 16.101 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 16.101 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 16.101 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 16.101 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 16.101 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 16.101 * [taylor]: Taking taylor expansion of 1/4 in K 16.101 * [backup-simplify]: Simplify 1/4 into 1/4 16.101 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 16.101 * [taylor]: Taking taylor expansion of (pow U 2) in K 16.101 * [taylor]: Taking taylor expansion of U in K 16.102 * [backup-simplify]: Simplify U into U 16.102 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 16.102 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 16.102 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.102 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.102 * [taylor]: Taking taylor expansion of 1/2 in K 16.102 * [backup-simplify]: Simplify 1/2 into 1/2 16.102 * [taylor]: Taking taylor expansion of K in K 16.102 * [backup-simplify]: Simplify 0 into 0 16.102 * [backup-simplify]: Simplify 1 into 1 16.102 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.102 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.102 * [taylor]: Taking taylor expansion of (pow J 2) in K 16.102 * [taylor]: Taking taylor expansion of J in K 16.102 * [backup-simplify]: Simplify J into J 16.103 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.103 * [backup-simplify]: Simplify (* 1 1) into 1 16.103 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.103 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 16.103 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 16.103 * [taylor]: Taking taylor expansion of 1 in K 16.103 * [backup-simplify]: Simplify 1 into 1 16.103 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 16.103 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 16.103 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 16.103 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.103 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.104 * [backup-simplify]: Simplify (+ 0) into 0 16.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 16.105 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 16.105 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 16.105 * [backup-simplify]: Simplify (+ 0 0) into 0 16.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 16.105 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 16.106 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 16.106 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 16.106 * [taylor]: Taking taylor expansion of 1/4 in J 16.106 * [backup-simplify]: Simplify 1/4 into 1/4 16.106 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 16.106 * [taylor]: Taking taylor expansion of (pow U 2) in J 16.106 * [taylor]: Taking taylor expansion of U in J 16.106 * [backup-simplify]: Simplify U into U 16.106 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 16.106 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 16.106 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.106 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.106 * [taylor]: Taking taylor expansion of 1/2 in J 16.106 * [backup-simplify]: Simplify 1/2 into 1/2 16.106 * [taylor]: Taking taylor expansion of K in J 16.106 * [backup-simplify]: Simplify K into K 16.106 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.106 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.106 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.106 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.106 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.106 * [backup-simplify]: Simplify (- 0) into 0 16.106 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.106 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.106 * [taylor]: Taking taylor expansion of J in J 16.106 * [backup-simplify]: Simplify 0 into 0 16.106 * [backup-simplify]: Simplify 1 into 1 16.106 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.107 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 16.107 * [backup-simplify]: Simplify (* 1 1) into 1 16.107 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 16.107 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 16.107 * [taylor]: Taking taylor expansion of 1 in J 16.107 * [backup-simplify]: Simplify 1 into 1 16.107 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 16.107 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 16.108 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 16.108 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.108 * [backup-simplify]: Simplify (+ 0) into 0 16.109 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.110 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.110 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.110 * [backup-simplify]: Simplify (- 0) into 0 16.110 * [backup-simplify]: Simplify (+ 0 0) into 0 16.110 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 16.111 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 16.111 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 16.111 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 16.112 * [backup-simplify]: Simplify (+ 0 0) into 0 16.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 16.112 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 16.112 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 16.112 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 16.112 * [taylor]: Taking taylor expansion of 1/4 in U 16.112 * [backup-simplify]: Simplify 1/4 into 1/4 16.112 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 16.112 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.112 * [taylor]: Taking taylor expansion of U in U 16.112 * [backup-simplify]: Simplify 0 into 0 16.112 * [backup-simplify]: Simplify 1 into 1 16.112 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 16.112 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 16.112 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 16.112 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 16.112 * [taylor]: Taking taylor expansion of 1/2 in U 16.112 * [backup-simplify]: Simplify 1/2 into 1/2 16.112 * [taylor]: Taking taylor expansion of K in U 16.112 * [backup-simplify]: Simplify K into K 16.112 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.112 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.112 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.112 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.112 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.113 * [backup-simplify]: Simplify (- 0) into 0 16.113 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.113 * [taylor]: Taking taylor expansion of (pow J 2) in U 16.113 * [taylor]: Taking taylor expansion of J in U 16.113 * [backup-simplify]: Simplify J into J 16.113 * [backup-simplify]: Simplify (* 1 1) into 1 16.113 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 16.113 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.113 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 16.113 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 16.113 * [taylor]: Taking taylor expansion of 1 in U 16.113 * [backup-simplify]: Simplify 1 into 1 16.114 * [backup-simplify]: Simplify (+ 0 1) into 1 16.114 * [backup-simplify]: Simplify (sqrt 1) into 1 16.114 * [backup-simplify]: Simplify (+ 0 0) into 0 16.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.115 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 16.115 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 16.115 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 16.115 * [taylor]: Taking taylor expansion of 1/4 in U 16.115 * [backup-simplify]: Simplify 1/4 into 1/4 16.115 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 16.115 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.115 * [taylor]: Taking taylor expansion of U in U 16.115 * [backup-simplify]: Simplify 0 into 0 16.115 * [backup-simplify]: Simplify 1 into 1 16.115 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 16.115 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 16.115 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 16.115 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 16.115 * [taylor]: Taking taylor expansion of 1/2 in U 16.115 * [backup-simplify]: Simplify 1/2 into 1/2 16.115 * [taylor]: Taking taylor expansion of K in U 16.115 * [backup-simplify]: Simplify K into K 16.115 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.115 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.115 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.115 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.115 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.116 * [backup-simplify]: Simplify (- 0) into 0 16.116 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.116 * [taylor]: Taking taylor expansion of (pow J 2) in U 16.116 * [taylor]: Taking taylor expansion of J in U 16.116 * [backup-simplify]: Simplify J into J 16.116 * [backup-simplify]: Simplify (* 1 1) into 1 16.116 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 16.116 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.116 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 16.116 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 16.116 * [taylor]: Taking taylor expansion of 1 in U 16.116 * [backup-simplify]: Simplify 1 into 1 16.117 * [backup-simplify]: Simplify (+ 0 1) into 1 16.117 * [backup-simplify]: Simplify (sqrt 1) into 1 16.117 * [backup-simplify]: Simplify (+ 0 0) into 0 16.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.118 * [taylor]: Taking taylor expansion of 1 in J 16.118 * [backup-simplify]: Simplify 1 into 1 16.118 * [taylor]: Taking taylor expansion of 0 in J 16.118 * [backup-simplify]: Simplify 0 into 0 16.118 * [taylor]: Taking taylor expansion of 1 in K 16.118 * [backup-simplify]: Simplify 1 into 1 16.118 * [backup-simplify]: Simplify 1 into 1 16.118 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 16.118 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 16.119 * [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))) 16.119 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 16.119 * [taylor]: Taking taylor expansion of 1/8 in J 16.119 * [backup-simplify]: Simplify 1/8 into 1/8 16.119 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 16.119 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 16.119 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.119 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.119 * [taylor]: Taking taylor expansion of 1/2 in J 16.119 * [backup-simplify]: Simplify 1/2 into 1/2 16.119 * [taylor]: Taking taylor expansion of K in J 16.119 * [backup-simplify]: Simplify K into K 16.119 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.119 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.119 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.120 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.120 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.120 * [backup-simplify]: Simplify (- 0) into 0 16.120 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.120 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.120 * [taylor]: Taking taylor expansion of J in J 16.120 * [backup-simplify]: Simplify 0 into 0 16.120 * [backup-simplify]: Simplify 1 into 1 16.120 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 16.120 * [backup-simplify]: Simplify (* 1 1) into 1 16.120 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 16.120 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 16.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.121 * [backup-simplify]: Simplify (+ 0) into 0 16.122 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.123 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.127 * [backup-simplify]: Simplify (- 0) into 0 16.128 * [backup-simplify]: Simplify (+ 0 0) into 0 16.128 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 16.129 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 16.129 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 16.129 * [taylor]: Taking taylor expansion of 0 in K 16.129 * [backup-simplify]: Simplify 0 into 0 16.129 * [backup-simplify]: Simplify 0 into 0 16.129 * [taylor]: Taking taylor expansion of 0 in K 16.129 * [backup-simplify]: Simplify 0 into 0 16.129 * [backup-simplify]: Simplify 0 into 0 16.130 * [taylor]: Taking taylor expansion of 0 in K 16.130 * [backup-simplify]: Simplify 0 into 0 16.130 * [backup-simplify]: Simplify 0 into 0 16.130 * [backup-simplify]: Simplify 0 into 0 16.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.131 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.131 * [backup-simplify]: Simplify (+ 0) into 0 16.132 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.135 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.135 * [backup-simplify]: Simplify (- 0) into 0 16.136 * [backup-simplify]: Simplify (+ 0 0) into 0 16.136 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 16.136 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 16.137 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 16.138 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 16.138 * [backup-simplify]: Simplify (+ 0 0) into 0 16.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 16.139 * [taylor]: Taking taylor expansion of 0 in J 16.139 * [backup-simplify]: Simplify 0 into 0 16.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.142 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 16.144 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.145 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.145 * [backup-simplify]: Simplify (- 0) into 0 16.146 * [backup-simplify]: Simplify (+ 0 0) into 0 16.146 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 16.147 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 16.147 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 16.147 * [taylor]: Taking taylor expansion of 0 in K 16.147 * [backup-simplify]: Simplify 0 into 0 16.148 * [backup-simplify]: Simplify 0 into 0 16.148 * [taylor]: Taking taylor expansion of 0 in K 16.148 * [backup-simplify]: Simplify 0 into 0 16.148 * [backup-simplify]: Simplify 0 into 0 16.148 * [backup-simplify]: Simplify 1 into 1 16.148 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 16.148 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 16.148 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 16.148 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 16.148 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 16.148 * [taylor]: Taking taylor expansion of 1/4 in K 16.148 * [backup-simplify]: Simplify 1/4 into 1/4 16.148 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 16.148 * [taylor]: Taking taylor expansion of (pow J 2) in K 16.148 * [taylor]: Taking taylor expansion of J in K 16.148 * [backup-simplify]: Simplify J into J 16.148 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 16.149 * [taylor]: Taking taylor expansion of (pow U 2) in K 16.149 * [taylor]: Taking taylor expansion of U in K 16.149 * [backup-simplify]: Simplify U into U 16.149 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 16.149 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.149 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.149 * [taylor]: Taking taylor expansion of 1/2 in K 16.149 * [backup-simplify]: Simplify 1/2 into 1/2 16.149 * [taylor]: Taking taylor expansion of K in K 16.149 * [backup-simplify]: Simplify 0 into 0 16.149 * [backup-simplify]: Simplify 1 into 1 16.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.150 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.150 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.150 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.150 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 16.150 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 16.150 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 16.150 * [taylor]: Taking taylor expansion of 1 in K 16.150 * [backup-simplify]: Simplify 1 into 1 16.151 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 16.151 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 16.152 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 16.152 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.153 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.153 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.153 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 16.154 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.155 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 16.155 * [backup-simplify]: Simplify (+ 0 0) into 0 16.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 16.156 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 16.156 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 16.156 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 16.156 * [taylor]: Taking taylor expansion of 1/4 in J 16.156 * [backup-simplify]: Simplify 1/4 into 1/4 16.156 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 16.156 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.156 * [taylor]: Taking taylor expansion of J in J 16.156 * [backup-simplify]: Simplify 0 into 0 16.156 * [backup-simplify]: Simplify 1 into 1 16.156 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 16.156 * [taylor]: Taking taylor expansion of (pow U 2) in J 16.156 * [taylor]: Taking taylor expansion of U in J 16.156 * [backup-simplify]: Simplify U into U 16.156 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 16.156 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.156 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.156 * [taylor]: Taking taylor expansion of 1/2 in J 16.156 * [backup-simplify]: Simplify 1/2 into 1/2 16.156 * [taylor]: Taking taylor expansion of K in J 16.156 * [backup-simplify]: Simplify K into K 16.156 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.157 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.157 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.157 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.157 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.157 * [backup-simplify]: Simplify (- 0) into 0 16.157 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.158 * [backup-simplify]: Simplify (* 1 1) into 1 16.158 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.158 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 16.158 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 16.158 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 16.158 * [taylor]: Taking taylor expansion of 1 in J 16.158 * [backup-simplify]: Simplify 1 into 1 16.159 * [backup-simplify]: Simplify (+ 0 1) into 1 16.159 * [backup-simplify]: Simplify (sqrt 1) into 1 16.160 * [backup-simplify]: Simplify (+ 0 0) into 0 16.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.160 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 16.160 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 16.160 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 16.160 * [taylor]: Taking taylor expansion of 1/4 in U 16.161 * [backup-simplify]: Simplify 1/4 into 1/4 16.161 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 16.161 * [taylor]: Taking taylor expansion of (pow J 2) in U 16.161 * [taylor]: Taking taylor expansion of J in U 16.161 * [backup-simplify]: Simplify J into J 16.161 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 16.161 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.161 * [taylor]: Taking taylor expansion of U in U 16.161 * [backup-simplify]: Simplify 0 into 0 16.161 * [backup-simplify]: Simplify 1 into 1 16.161 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 16.161 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.161 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.161 * [taylor]: Taking taylor expansion of 1/2 in U 16.161 * [backup-simplify]: Simplify 1/2 into 1/2 16.161 * [taylor]: Taking taylor expansion of K in U 16.161 * [backup-simplify]: Simplify K into K 16.161 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.161 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.161 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.161 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.161 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.162 * [backup-simplify]: Simplify (- 0) into 0 16.162 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.162 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.162 * [backup-simplify]: Simplify (* 1 1) into 1 16.163 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 16.163 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 16.163 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 16.163 * [taylor]: Taking taylor expansion of 1 in U 16.163 * [backup-simplify]: Simplify 1 into 1 16.163 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 16.163 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 16.163 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.164 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.164 * [backup-simplify]: Simplify (+ 0) into 0 16.165 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.165 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.166 * [backup-simplify]: Simplify (- 0) into 0 16.167 * [backup-simplify]: Simplify (+ 0 0) into 0 16.167 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 16.169 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 16.169 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 16.170 * [backup-simplify]: Simplify (+ 0 0) into 0 16.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.170 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 16.170 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 16.170 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 16.170 * [taylor]: Taking taylor expansion of 1/4 in U 16.170 * [backup-simplify]: Simplify 1/4 into 1/4 16.170 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 16.170 * [taylor]: Taking taylor expansion of (pow J 2) in U 16.170 * [taylor]: Taking taylor expansion of J in U 16.170 * [backup-simplify]: Simplify J into J 16.170 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 16.170 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.170 * [taylor]: Taking taylor expansion of U in U 16.170 * [backup-simplify]: Simplify 0 into 0 16.170 * [backup-simplify]: Simplify 1 into 1 16.170 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 16.170 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.170 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.170 * [taylor]: Taking taylor expansion of 1/2 in U 16.170 * [backup-simplify]: Simplify 1/2 into 1/2 16.170 * [taylor]: Taking taylor expansion of K in U 16.171 * [backup-simplify]: Simplify K into K 16.171 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.171 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.171 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.171 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.171 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.171 * [backup-simplify]: Simplify (- 0) into 0 16.171 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.171 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.172 * [backup-simplify]: Simplify (* 1 1) into 1 16.172 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 16.172 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 16.172 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 16.172 * [taylor]: Taking taylor expansion of 1 in U 16.172 * [backup-simplify]: Simplify 1 into 1 16.173 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 16.173 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 16.173 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.173 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.174 * [backup-simplify]: Simplify (+ 0) into 0 16.174 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.174 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.176 * [backup-simplify]: Simplify (- 0) into 0 16.176 * [backup-simplify]: Simplify (+ 0 0) into 0 16.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 16.178 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 16.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 16.179 * [backup-simplify]: Simplify (+ 0 0) into 0 16.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 16.179 * [taylor]: Taking taylor expansion of 1/2 in J 16.179 * [backup-simplify]: Simplify 1/2 into 1/2 16.179 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 16.179 * [taylor]: Taking taylor expansion of J in J 16.179 * [backup-simplify]: Simplify 0 into 0 16.179 * [backup-simplify]: Simplify 1 into 1 16.179 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.179 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.180 * [taylor]: Taking taylor expansion of 1/2 in J 16.180 * [backup-simplify]: Simplify 1/2 into 1/2 16.180 * [taylor]: Taking taylor expansion of K in J 16.180 * [backup-simplify]: Simplify K into K 16.180 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.180 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.180 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.180 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.180 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.181 * [backup-simplify]: Simplify (- 0) into 0 16.181 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.181 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 16.181 * [taylor]: Taking taylor expansion of 0 in J 16.181 * [backup-simplify]: Simplify 0 into 0 16.181 * [taylor]: Taking taylor expansion of 0 in K 16.181 * [backup-simplify]: Simplify 0 into 0 16.181 * [backup-simplify]: Simplify 0 into 0 16.181 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 16.181 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 16.181 * [taylor]: Taking taylor expansion of 1/2 in K 16.181 * [backup-simplify]: Simplify 1/2 into 1/2 16.181 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.181 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.181 * [taylor]: Taking taylor expansion of 1/2 in K 16.181 * [backup-simplify]: Simplify 1/2 into 1/2 16.181 * [taylor]: Taking taylor expansion of K in K 16.181 * [backup-simplify]: Simplify 0 into 0 16.181 * [backup-simplify]: Simplify 1 into 1 16.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.182 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.182 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 16.182 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 16.183 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 16.184 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.184 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.184 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.186 * [backup-simplify]: Simplify (- 0) into 0 16.187 * [backup-simplify]: Simplify (+ 0 0) into 0 16.187 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 16.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 16.190 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 16.191 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 16.191 * [backup-simplify]: Simplify (+ 0 1) into 1 16.192 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 16.192 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 16.192 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.192 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.192 * [taylor]: Taking taylor expansion of 1/2 in J 16.192 * [backup-simplify]: Simplify 1/2 into 1/2 16.192 * [taylor]: Taking taylor expansion of K in J 16.192 * [backup-simplify]: Simplify K into K 16.192 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.192 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.192 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.192 * [taylor]: Taking taylor expansion of J in J 16.192 * [backup-simplify]: Simplify 0 into 0 16.193 * [backup-simplify]: Simplify 1 into 1 16.193 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.193 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.193 * [backup-simplify]: Simplify (- 0) into 0 16.193 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.193 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.194 * [backup-simplify]: Simplify (+ 0) into 0 16.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.194 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.196 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.196 * [backup-simplify]: Simplify (- 0) into 0 16.196 * [backup-simplify]: Simplify (+ 0 0) into 0 16.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 16.197 * [taylor]: Taking taylor expansion of 0 in K 16.197 * [backup-simplify]: Simplify 0 into 0 16.197 * [backup-simplify]: Simplify 0 into 0 16.197 * [taylor]: Taking taylor expansion of 0 in K 16.197 * [backup-simplify]: Simplify 0 into 0 16.197 * [backup-simplify]: Simplify 0 into 0 16.198 * [backup-simplify]: Simplify (+ 0) into 0 16.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.198 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.199 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.200 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.200 * [backup-simplify]: Simplify (- 0) into 0 16.200 * [backup-simplify]: Simplify (+ 0 0) into 0 16.201 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 16.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 16.201 * [taylor]: Taking taylor expansion of 0 in K 16.201 * [backup-simplify]: Simplify 0 into 0 16.201 * [backup-simplify]: Simplify 0 into 0 16.201 * [backup-simplify]: Simplify 0 into 0 16.201 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 16.202 * [backup-simplify]: Simplify 0 into 0 16.202 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 16.203 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.204 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.204 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.206 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.206 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.207 * [backup-simplify]: Simplify (- 0) into 0 16.207 * [backup-simplify]: Simplify (+ 0 0) into 0 16.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 16.211 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 16.212 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.213 * [backup-simplify]: Simplify (+ 0 0) into 0 16.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 16.213 * [taylor]: Taking taylor expansion of 0 in J 16.213 * [backup-simplify]: Simplify 0 into 0 16.213 * [taylor]: Taking taylor expansion of 0 in K 16.213 * [backup-simplify]: Simplify 0 into 0 16.213 * [backup-simplify]: Simplify 0 into 0 16.213 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 16.214 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 16.214 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 16.214 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 16.214 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 16.214 * [taylor]: Taking taylor expansion of 1 in K 16.214 * [backup-simplify]: Simplify 1 into 1 16.214 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 16.214 * [taylor]: Taking taylor expansion of 1/4 in K 16.214 * [backup-simplify]: Simplify 1/4 into 1/4 16.214 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 16.214 * [taylor]: Taking taylor expansion of (pow J 2) in K 16.214 * [taylor]: Taking taylor expansion of J in K 16.214 * [backup-simplify]: Simplify J into J 16.214 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 16.214 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 16.214 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.214 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.214 * [taylor]: Taking taylor expansion of -1/2 in K 16.214 * [backup-simplify]: Simplify -1/2 into -1/2 16.214 * [taylor]: Taking taylor expansion of K in K 16.214 * [backup-simplify]: Simplify 0 into 0 16.214 * [backup-simplify]: Simplify 1 into 1 16.215 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.215 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.215 * [taylor]: Taking taylor expansion of (pow U 2) in K 16.215 * [taylor]: Taking taylor expansion of U in K 16.215 * [backup-simplify]: Simplify U into U 16.215 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.215 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.215 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.215 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 16.215 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.215 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 16.215 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 16.216 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 16.216 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.216 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.216 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 16.216 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 16.216 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 16.217 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 16.217 * [backup-simplify]: Simplify (+ 0 0) into 0 16.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 16.217 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 16.217 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 16.217 * [taylor]: Taking taylor expansion of 1 in J 16.217 * [backup-simplify]: Simplify 1 into 1 16.217 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 16.217 * [taylor]: Taking taylor expansion of 1/4 in J 16.217 * [backup-simplify]: Simplify 1/4 into 1/4 16.217 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 16.217 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.217 * [taylor]: Taking taylor expansion of J in J 16.218 * [backup-simplify]: Simplify 0 into 0 16.218 * [backup-simplify]: Simplify 1 into 1 16.218 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 16.218 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 16.218 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.218 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.218 * [taylor]: Taking taylor expansion of -1/2 in J 16.218 * [backup-simplify]: Simplify -1/2 into -1/2 16.218 * [taylor]: Taking taylor expansion of K in J 16.218 * [backup-simplify]: Simplify K into K 16.218 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.218 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.218 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.218 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.218 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.218 * [backup-simplify]: Simplify (- 0) into 0 16.218 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.218 * [taylor]: Taking taylor expansion of (pow U 2) in J 16.218 * [taylor]: Taking taylor expansion of U in J 16.218 * [backup-simplify]: Simplify U into U 16.218 * [backup-simplify]: Simplify (* 1 1) into 1 16.219 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.219 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.219 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 16.219 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.219 * [backup-simplify]: Simplify (+ 1 0) into 1 16.219 * [backup-simplify]: Simplify (sqrt 1) into 1 16.220 * [backup-simplify]: Simplify (+ 0 0) into 0 16.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.220 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 16.220 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 16.220 * [taylor]: Taking taylor expansion of 1 in U 16.220 * [backup-simplify]: Simplify 1 into 1 16.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 16.220 * [taylor]: Taking taylor expansion of 1/4 in U 16.220 * [backup-simplify]: Simplify 1/4 into 1/4 16.220 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 16.220 * [taylor]: Taking taylor expansion of (pow J 2) in U 16.220 * [taylor]: Taking taylor expansion of J in U 16.220 * [backup-simplify]: Simplify J into J 16.220 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 16.220 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 16.220 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.220 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.220 * [taylor]: Taking taylor expansion of -1/2 in U 16.220 * [backup-simplify]: Simplify -1/2 into -1/2 16.220 * [taylor]: Taking taylor expansion of K in U 16.220 * [backup-simplify]: Simplify K into K 16.220 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.220 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.220 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.220 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.221 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.221 * [backup-simplify]: Simplify (- 0) into 0 16.221 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.221 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.221 * [taylor]: Taking taylor expansion of U in U 16.221 * [backup-simplify]: Simplify 0 into 0 16.221 * [backup-simplify]: Simplify 1 into 1 16.221 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.221 * [backup-simplify]: Simplify (* 1 1) into 1 16.221 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 16.221 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 16.222 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 16.222 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 16.222 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.222 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.223 * [backup-simplify]: Simplify (+ 0) into 0 16.223 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.224 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.224 * [backup-simplify]: Simplify (- 0) into 0 16.224 * [backup-simplify]: Simplify (+ 0 0) into 0 16.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 16.225 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 16.225 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 16.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 16.226 * [backup-simplify]: Simplify (+ 0 0) into 0 16.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 16.226 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 16.226 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 16.226 * [taylor]: Taking taylor expansion of 1 in U 16.226 * [backup-simplify]: Simplify 1 into 1 16.226 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 16.226 * [taylor]: Taking taylor expansion of 1/4 in U 16.226 * [backup-simplify]: Simplify 1/4 into 1/4 16.226 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 16.226 * [taylor]: Taking taylor expansion of (pow J 2) in U 16.226 * [taylor]: Taking taylor expansion of J in U 16.226 * [backup-simplify]: Simplify J into J 16.227 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 16.227 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 16.227 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.227 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.227 * [taylor]: Taking taylor expansion of -1/2 in U 16.227 * [backup-simplify]: Simplify -1/2 into -1/2 16.227 * [taylor]: Taking taylor expansion of K in U 16.227 * [backup-simplify]: Simplify K into K 16.227 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.227 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.227 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.227 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.227 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.227 * [backup-simplify]: Simplify (- 0) into 0 16.227 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.227 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.227 * [taylor]: Taking taylor expansion of U in U 16.227 * [backup-simplify]: Simplify 0 into 0 16.227 * [backup-simplify]: Simplify 1 into 1 16.227 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.227 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.228 * [backup-simplify]: Simplify (* 1 1) into 1 16.228 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 16.228 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 16.228 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 16.228 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 16.228 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.228 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.229 * [backup-simplify]: Simplify (+ 0) into 0 16.229 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.230 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.230 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.231 * [backup-simplify]: Simplify (- 0) into 0 16.231 * [backup-simplify]: Simplify (+ 0 0) into 0 16.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 16.231 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 16.232 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 16.232 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 16.232 * [backup-simplify]: Simplify (+ 0 0) into 0 16.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 16.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 16.232 * [taylor]: Taking taylor expansion of 1/2 in J 16.232 * [backup-simplify]: Simplify 1/2 into 1/2 16.232 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 16.232 * [taylor]: Taking taylor expansion of J in J 16.233 * [backup-simplify]: Simplify 0 into 0 16.233 * [backup-simplify]: Simplify 1 into 1 16.233 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.233 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.233 * [taylor]: Taking taylor expansion of -1/2 in J 16.233 * [backup-simplify]: Simplify -1/2 into -1/2 16.233 * [taylor]: Taking taylor expansion of K in J 16.233 * [backup-simplify]: Simplify K into K 16.233 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.233 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.233 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.233 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.233 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.233 * [backup-simplify]: Simplify (- 0) into 0 16.233 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.233 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 16.233 * [taylor]: Taking taylor expansion of 0 in J 16.233 * [backup-simplify]: Simplify 0 into 0 16.233 * [taylor]: Taking taylor expansion of 0 in K 16.233 * [backup-simplify]: Simplify 0 into 0 16.233 * [backup-simplify]: Simplify 0 into 0 16.233 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 16.233 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 16.233 * [taylor]: Taking taylor expansion of 1/2 in K 16.233 * [backup-simplify]: Simplify 1/2 into 1/2 16.233 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.233 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.233 * [taylor]: Taking taylor expansion of -1/2 in K 16.233 * [backup-simplify]: Simplify -1/2 into -1/2 16.233 * [taylor]: Taking taylor expansion of K in K 16.234 * [backup-simplify]: Simplify 0 into 0 16.234 * [backup-simplify]: Simplify 1 into 1 16.234 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.234 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.234 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 16.234 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 16.234 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 16.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.237 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.237 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.238 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.239 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.239 * [backup-simplify]: Simplify (- 0) into 0 16.239 * [backup-simplify]: Simplify (+ 0 0) into 0 16.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 16.241 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 16.241 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 16.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 16.243 * [backup-simplify]: Simplify (+ 1 0) into 1 16.243 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 16.243 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 16.244 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.244 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.244 * [taylor]: Taking taylor expansion of -1/2 in J 16.244 * [backup-simplify]: Simplify -1/2 into -1/2 16.244 * [taylor]: Taking taylor expansion of K in J 16.244 * [backup-simplify]: Simplify K into K 16.244 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.244 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.244 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.244 * [taylor]: Taking taylor expansion of J in J 16.244 * [backup-simplify]: Simplify 0 into 0 16.244 * [backup-simplify]: Simplify 1 into 1 16.244 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.244 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.244 * [backup-simplify]: Simplify (- 0) into 0 16.245 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.245 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.245 * [backup-simplify]: Simplify (+ 0) into 0 16.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.246 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.247 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.247 * [backup-simplify]: Simplify (- 0) into 0 16.248 * [backup-simplify]: Simplify (+ 0 0) into 0 16.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 16.249 * [taylor]: Taking taylor expansion of 0 in K 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [taylor]: Taking taylor expansion of 0 in K 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [backup-simplify]: Simplify (+ 0) into 0 16.250 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.251 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.252 * [backup-simplify]: Simplify (- 0) into 0 16.252 * [backup-simplify]: Simplify (+ 0 0) into 0 16.252 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 16.253 * [taylor]: Taking taylor expansion of 0 in K 16.253 * [backup-simplify]: Simplify 0 into 0 16.253 * [backup-simplify]: Simplify 0 into 0 16.253 * [backup-simplify]: Simplify 0 into 0 16.253 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.253 * [backup-simplify]: Simplify 0 into 0 16.254 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 16.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.257 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.259 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.260 * [backup-simplify]: Simplify (- 0) into 0 16.260 * [backup-simplify]: Simplify (+ 0 0) into 0 16.261 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 16.262 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.262 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 16.264 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 16.264 * [backup-simplify]: Simplify (+ 0 0) into 0 16.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 16.264 * [taylor]: Taking taylor expansion of 0 in J 16.264 * [backup-simplify]: Simplify 0 into 0 16.264 * [taylor]: Taking taylor expansion of 0 in K 16.264 * [backup-simplify]: Simplify 0 into 0 16.264 * [backup-simplify]: Simplify 0 into 0 16.265 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 16.265 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 16.265 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 16.265 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 16.265 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 16.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 16.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 16.265 * [taylor]: Taking taylor expansion of 1/3 in K 16.265 * [backup-simplify]: Simplify 1/3 into 1/3 16.265 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 16.265 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.265 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.265 * [taylor]: Taking taylor expansion of 1/2 in K 16.265 * [backup-simplify]: Simplify 1/2 into 1/2 16.265 * [taylor]: Taking taylor expansion of K in K 16.265 * [backup-simplify]: Simplify 0 into 0 16.265 * [backup-simplify]: Simplify 1 into 1 16.266 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.266 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.267 * [backup-simplify]: Simplify (log 1) into 0 16.267 * [backup-simplify]: Simplify (* 1/3 0) into 0 16.268 * [backup-simplify]: Simplify (+ 0) into 0 16.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.274 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 16.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 16.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 16.279 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 16.279 * [backup-simplify]: Simplify (exp 0) into 1 16.279 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 16.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 16.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 16.279 * [taylor]: Taking taylor expansion of 1/3 in K 16.279 * [backup-simplify]: Simplify 1/3 into 1/3 16.279 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 16.279 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.279 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.279 * [taylor]: Taking taylor expansion of 1/2 in K 16.279 * [backup-simplify]: Simplify 1/2 into 1/2 16.279 * [taylor]: Taking taylor expansion of K in K 16.279 * [backup-simplify]: Simplify 0 into 0 16.279 * [backup-simplify]: Simplify 1 into 1 16.279 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.280 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.281 * [backup-simplify]: Simplify (log 1) into 0 16.281 * [backup-simplify]: Simplify (* 1/3 0) into 0 16.281 * [backup-simplify]: Simplify (+ 0) into 0 16.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.283 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 16.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 16.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 16.288 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 16.289 * [backup-simplify]: Simplify (exp 0) into 1 16.289 * [backup-simplify]: Simplify 1 into 1 16.290 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 16.290 * [backup-simplify]: Simplify 0 into 0 16.292 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 16.292 * [backup-simplify]: Simplify -1/24 into -1/24 16.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 16.294 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.300 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.301 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 16.304 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.304 * [backup-simplify]: Simplify 0 into 0 16.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.309 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 16.320 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 16.322 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 16.327 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 16.327 * [backup-simplify]: Simplify -1/1152 into -1/1152 16.328 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 16.328 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 16.328 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 16.328 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 16.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 16.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 16.328 * [taylor]: Taking taylor expansion of 1/3 in K 16.328 * [backup-simplify]: Simplify 1/3 into 1/3 16.328 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 16.328 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.328 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.328 * [taylor]: Taking taylor expansion of 1/2 in K 16.328 * [backup-simplify]: Simplify 1/2 into 1/2 16.328 * [taylor]: Taking taylor expansion of K in K 16.328 * [backup-simplify]: Simplify 0 into 0 16.328 * [backup-simplify]: Simplify 1 into 1 16.329 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.329 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.329 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 16.329 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 16.329 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 16.329 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 16.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 16.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 16.329 * [taylor]: Taking taylor expansion of 1/3 in K 16.329 * [backup-simplify]: Simplify 1/3 into 1/3 16.329 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 16.329 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.329 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.329 * [taylor]: Taking taylor expansion of 1/2 in K 16.329 * [backup-simplify]: Simplify 1/2 into 1/2 16.329 * [taylor]: Taking taylor expansion of K in K 16.329 * [backup-simplify]: Simplify 0 into 0 16.329 * [backup-simplify]: Simplify 1 into 1 16.330 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.330 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.330 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 16.330 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 16.330 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 16.330 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 16.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 16.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 16.333 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.333 * [backup-simplify]: Simplify 0 into 0 16.335 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 16.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 16.338 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.338 * [backup-simplify]: Simplify 0 into 0 16.340 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 16.342 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 16.343 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.343 * [backup-simplify]: Simplify 0 into 0 16.348 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 16.350 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 16.353 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.353 * [backup-simplify]: Simplify 0 into 0 16.360 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 16.362 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 16.366 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.366 * [backup-simplify]: Simplify 0 into 0 16.378 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 16.381 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 16.387 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.387 * [backup-simplify]: Simplify 0 into 0 16.387 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 16.387 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 16.387 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 16.387 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 16.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 16.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 16.387 * [taylor]: Taking taylor expansion of 1/3 in K 16.387 * [backup-simplify]: Simplify 1/3 into 1/3 16.387 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 16.387 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.387 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.387 * [taylor]: Taking taylor expansion of -1/2 in K 16.387 * [backup-simplify]: Simplify -1/2 into -1/2 16.387 * [taylor]: Taking taylor expansion of K in K 16.388 * [backup-simplify]: Simplify 0 into 0 16.388 * [backup-simplify]: Simplify 1 into 1 16.388 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.388 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.388 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 16.389 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 16.389 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 16.389 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 16.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 16.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 16.389 * [taylor]: Taking taylor expansion of 1/3 in K 16.389 * [backup-simplify]: Simplify 1/3 into 1/3 16.389 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 16.389 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.389 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.389 * [taylor]: Taking taylor expansion of -1/2 in K 16.389 * [backup-simplify]: Simplify -1/2 into -1/2 16.389 * [taylor]: Taking taylor expansion of K in K 16.389 * [backup-simplify]: Simplify 0 into 0 16.389 * [backup-simplify]: Simplify 1 into 1 16.390 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.390 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.390 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 16.390 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 16.390 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 16.390 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 16.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 16.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 16.393 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.393 * [backup-simplify]: Simplify 0 into 0 16.395 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 16.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 16.397 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.397 * [backup-simplify]: Simplify 0 into 0 16.400 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 16.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 16.403 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.403 * [backup-simplify]: Simplify 0 into 0 16.407 * [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 16.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 16.412 * [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 16.412 * [backup-simplify]: Simplify 0 into 0 16.419 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 16.427 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 16.431 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.431 * [backup-simplify]: Simplify 0 into 0 16.443 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 16.446 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 16.451 * [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 16.451 * [backup-simplify]: Simplify 0 into 0 16.451 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 16.452 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2) 16.452 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 16.452 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 16.452 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 16.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 16.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 16.452 * [taylor]: Taking taylor expansion of 1/3 in K 16.452 * [backup-simplify]: Simplify 1/3 into 1/3 16.452 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 16.452 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.452 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.452 * [taylor]: Taking taylor expansion of 1/2 in K 16.452 * [backup-simplify]: Simplify 1/2 into 1/2 16.452 * [taylor]: Taking taylor expansion of K in K 16.452 * [backup-simplify]: Simplify 0 into 0 16.452 * [backup-simplify]: Simplify 1 into 1 16.452 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.453 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.453 * [backup-simplify]: Simplify (log 1) into 0 16.453 * [backup-simplify]: Simplify (* 1/3 0) into 0 16.453 * [backup-simplify]: Simplify (+ 0) into 0 16.454 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.455 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 16.455 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 16.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 16.457 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 16.457 * [backup-simplify]: Simplify (exp 0) into 1 16.457 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 16.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 16.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 16.457 * [taylor]: Taking taylor expansion of 1/3 in K 16.457 * [backup-simplify]: Simplify 1/3 into 1/3 16.457 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 16.457 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.457 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.458 * [taylor]: Taking taylor expansion of 1/2 in K 16.458 * [backup-simplify]: Simplify 1/2 into 1/2 16.458 * [taylor]: Taking taylor expansion of K in K 16.458 * [backup-simplify]: Simplify 0 into 0 16.458 * [backup-simplify]: Simplify 1 into 1 16.458 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.458 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.459 * [backup-simplify]: Simplify (log 1) into 0 16.459 * [backup-simplify]: Simplify (* 1/3 0) into 0 16.459 * [backup-simplify]: Simplify (+ 0) into 0 16.460 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 16.461 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 16.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 16.463 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 16.463 * [backup-simplify]: Simplify (exp 0) into 1 16.463 * [backup-simplify]: Simplify 1 into 1 16.464 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 16.464 * [backup-simplify]: Simplify 0 into 0 16.465 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 16.465 * [backup-simplify]: Simplify -1/24 into -1/24 16.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 16.466 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.469 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.470 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 16.471 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.471 * [backup-simplify]: Simplify 0 into 0 16.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 16.480 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 16.481 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 16.484 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 16.484 * [backup-simplify]: Simplify -1/1152 into -1/1152 16.484 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 16.484 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 16.484 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 16.484 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 16.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 16.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 16.484 * [taylor]: Taking taylor expansion of 1/3 in K 16.484 * [backup-simplify]: Simplify 1/3 into 1/3 16.484 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 16.485 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.485 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.485 * [taylor]: Taking taylor expansion of 1/2 in K 16.485 * [backup-simplify]: Simplify 1/2 into 1/2 16.485 * [taylor]: Taking taylor expansion of K in K 16.485 * [backup-simplify]: Simplify 0 into 0 16.485 * [backup-simplify]: Simplify 1 into 1 16.485 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.485 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.485 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 16.485 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 16.485 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 16.485 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 16.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 16.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 16.485 * [taylor]: Taking taylor expansion of 1/3 in K 16.485 * [backup-simplify]: Simplify 1/3 into 1/3 16.485 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 16.485 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.485 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.485 * [taylor]: Taking taylor expansion of 1/2 in K 16.485 * [backup-simplify]: Simplify 1/2 into 1/2 16.485 * [taylor]: Taking taylor expansion of K in K 16.485 * [backup-simplify]: Simplify 0 into 0 16.485 * [backup-simplify]: Simplify 1 into 1 16.486 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.486 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.486 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 16.486 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 16.486 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 16.486 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 16.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 16.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 16.488 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.488 * [backup-simplify]: Simplify 0 into 0 16.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 16.490 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 16.492 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.492 * [backup-simplify]: Simplify 0 into 0 16.495 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 16.496 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 16.498 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.498 * [backup-simplify]: Simplify 0 into 0 16.503 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 16.504 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 16.507 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.507 * [backup-simplify]: Simplify 0 into 0 16.514 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 16.516 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 16.518 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.518 * [backup-simplify]: Simplify 0 into 0 16.525 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 16.527 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 16.530 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.530 * [backup-simplify]: Simplify 0 into 0 16.530 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 16.530 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 16.530 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 16.530 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 16.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 16.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 16.530 * [taylor]: Taking taylor expansion of 1/3 in K 16.530 * [backup-simplify]: Simplify 1/3 into 1/3 16.530 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 16.530 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.530 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.530 * [taylor]: Taking taylor expansion of -1/2 in K 16.530 * [backup-simplify]: Simplify -1/2 into -1/2 16.530 * [taylor]: Taking taylor expansion of K in K 16.530 * [backup-simplify]: Simplify 0 into 0 16.530 * [backup-simplify]: Simplify 1 into 1 16.530 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.531 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.531 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 16.531 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 16.531 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 16.531 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 16.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 16.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 16.531 * [taylor]: Taking taylor expansion of 1/3 in K 16.531 * [backup-simplify]: Simplify 1/3 into 1/3 16.531 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 16.531 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.531 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.531 * [taylor]: Taking taylor expansion of -1/2 in K 16.531 * [backup-simplify]: Simplify -1/2 into -1/2 16.531 * [taylor]: Taking taylor expansion of K in K 16.531 * [backup-simplify]: Simplify 0 into 0 16.531 * [backup-simplify]: Simplify 1 into 1 16.531 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.531 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.531 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 16.531 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 16.531 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 16.532 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 16.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 16.537 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 16.538 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.538 * [backup-simplify]: Simplify 0 into 0 16.539 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 16.539 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 16.540 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.540 * [backup-simplify]: Simplify 0 into 0 16.542 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 16.542 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 16.543 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.543 * [backup-simplify]: Simplify 0 into 0 16.546 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 16.548 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 16.551 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.551 * [backup-simplify]: Simplify 0 into 0 16.558 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 16.561 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 16.564 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.564 * [backup-simplify]: Simplify 0 into 0 16.577 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 16.579 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 16.584 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.585 * [backup-simplify]: Simplify 0 into 0 16.585 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 16.585 * * * [progress]: simplifying candidates 16.585 * * * * [progress]: [ 1 / 90 ] simplifiying candidate # 16.585 * * * * [progress]: [ 2 / 90 ] simplifiying candidate # 16.585 * * * * [progress]: [ 3 / 90 ] simplifiying candidate # 16.585 * * * * [progress]: [ 4 / 90 ] simplifiying candidate # 16.585 * * * * [progress]: [ 5 / 90 ] simplifiying candidate # 16.585 * * * * [progress]: [ 6 / 90 ] simplifiying candidate # 16.585 * * * * [progress]: [ 7 / 90 ] simplifiying candidate # 16.585 * * * * [progress]: [ 8 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 9 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 10 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 11 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 12 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 13 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 14 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 15 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 16 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 17 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 18 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 19 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 20 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 21 / 90 ] simplifiying candidate # 16.586 * * * * [progress]: [ 22 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 23 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 24 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 25 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 26 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 27 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 28 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 29 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 30 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 31 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 32 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 33 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 34 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 35 / 90 ] simplifiying candidate # 16.587 * * * * [progress]: [ 36 / 90 ] simplifiying candidate #real (real->posit16 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 16.588 * * * * [progress]: [ 37 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 38 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 39 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 40 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 41 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 42 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 43 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 44 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 45 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 46 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 47 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 48 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 49 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 50 / 90 ] simplifiying candidate # 16.588 * * * * [progress]: [ 51 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 52 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 53 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 54 / 90 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 16.589 * * * * [progress]: [ 55 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 56 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 57 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 58 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 59 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 60 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 61 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 62 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 63 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 64 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 65 / 90 ] simplifiying candidate # 16.589 * * * * [progress]: [ 66 / 90 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> 16.589 * * * * [progress]: [ 67 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 68 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 69 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 70 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 71 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 72 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 73 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 74 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 75 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 76 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 77 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 78 / 90 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> 16.590 * * * * [progress]: [ 79 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 80 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 81 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 82 / 90 ] simplifiying candidate # 16.590 * * * * [progress]: [ 83 / 90 ] simplifiying candidate # 16.591 * * * * [progress]: [ 84 / 90 ] simplifiying candidate # 16.591 * * * * [progress]: [ 85 / 90 ] simplifiying candidate # 16.591 * * * * [progress]: [ 86 / 90 ] simplifiying candidate # 16.591 * * * * [progress]: [ 87 / 90 ] simplifiying candidate # 16.591 * * * * [progress]: [ 88 / 90 ] simplifiying candidate # 16.591 * * * * [progress]: [ 89 / 90 ] simplifiying candidate # 16.591 * * * * [progress]: [ 90 / 90 ] simplifiying candidate # 16.593 * [simplify]: Simplifying: (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (+ (+ (+ (log -2) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (+ (+ (log -2) (log J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (log (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (exp (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1) (* (cbrt (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (real->posit16 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp (sqrt (+ 1 (pow (/ U (* (* 2 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(/ K 2)))) 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ 1 2) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) 0 (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3) 16.596 * * [simplify]: iteration 0: 147 enodes 16.666 * * [simplify]: iteration 1: 379 enodes 16.821 * * [simplify]: iteration 2: 1460 enodes 17.637 * * [simplify]: iteration complete: 5006 enodes 17.637 * * [simplify]: Extracting #0: cost 47 inf + 0 17.639 * * [simplify]: Extracting #1: cost 487 inf + 3 17.647 * * [simplify]: Extracting #2: cost 1560 inf + 939 17.660 * * [simplify]: Extracting #3: cost 1842 inf + 5383 17.677 * * [simplify]: Extracting #4: cost 1789 inf + 13406 17.704 * * [simplify]: Extracting #5: cost 1607 inf + 59429 17.773 * * [simplify]: Extracting #6: cost 921 inf + 292601 17.892 * * [simplify]: Extracting #7: cost 508 inf + 474212 18.094 * * [simplify]: Extracting #8: cost 101 inf + 701843 18.340 * * [simplify]: Extracting #9: cost 0 inf + 761074 18.569 * [simplify]: Simplified to: (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (exp (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* (* (* (cos (/ K 2)) -8) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* (* (* (cos (/ K 2)) -8) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* J (* -2 (cos (/ K 2)))))) (* (* (fabs (cbrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) J) (* -2 (cos (/ K 2)))) (* (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2)))) (* (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* (sqrt (+ 1 (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))))))) J) (* -2 (cos (/ K 2)))) (* (* -2 J) (* (cos (/ K 2)) (sqrt (- 1 (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))))))) (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (exp (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (fabs (cbrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (sqrt (cbrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) 1 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) 1 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ 1 (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos 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(cos (/ K 2)))) 1 (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cos (/ K 2)) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) 1 (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cos (/ K 2)) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) 0 (* (cos (* 1/2 K)) (* -2 J)) (* (cos (* 1/2 K)) (* -2 J)) 1 (* (/ U J) (/ 1/2 (cos (* 1/2 K)))) (* (/ U J) (/ 1/2 (cos (* 1/2 K)))) (- (- 1 (* (* 1/24 K) K)) (* (* (* K K) (* K K)) 1/1152)) (cbrt (cos (* 1/2 K))) (cbrt (cos (* 1/2 K))) (- (- 1 (* (* 1/24 K) K)) (* (* (* K K) (* K K)) 1/1152)) (cbrt (cos (* 1/2 K))) (cbrt (cos (* 1/2 K))) 18.587 * * * [progress]: adding candidates to table 19.139 * [progress]: [Phase 3 of 3] Extracting. 19.139 * * [regime]: Finding splitpoints for: (# # # # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # #) 19.144 * * * [regime-changes]: Trying 6 branch expressions: ((/ K 2) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U K J) 19.145 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # #) 19.270 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # #) 19.368 * * * * [regimes]: Trying to branch on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) from (# # # # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # #) 19.513 * * * * [regimes]: Trying to branch on U from (# # # # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # #) 19.627 * * * * [regimes]: Trying to branch on K from (# # # # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # #) 19.713 * * * * [regimes]: Trying to branch on J from (# # # # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # #) 19.862 * * * [regime]: Found split indices: #