54.540 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.169 * * * [progress]: [2/2] Setting up program. 0.177 * [progress]: [Phase 2 of 3] Improving. 0.177 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.177 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.178 * * [simplify]: iteration 0: 17 enodes 0.185 * * [simplify]: iteration 1: 36 enodes 0.192 * * [simplify]: iteration 2: 81 enodes 0.211 * * [simplify]: iteration 3: 215 enodes 0.302 * * [simplify]: iteration 4: 782 enodes 1.195 * * [simplify]: iteration 5: 4486 enodes 2.264 * * [simplify]: iteration complete: 5025 enodes 2.264 * * [simplify]: Extracting #0: cost 1 inf + 0 2.273 * * [simplify]: Extracting #1: cost 124 inf + 0 2.274 * * [simplify]: Extracting #2: cost 173 inf + 296 2.274 * * [simplify]: Extracting #3: cost 158 inf + 1011 2.276 * * [simplify]: Extracting #4: cost 582 inf + 1097 2.282 * * [simplify]: Extracting #5: cost 1581 inf + 5116 2.321 * * [simplify]: Extracting #6: cost 997 inf + 145004 2.392 * * [simplify]: Extracting #7: cost 218 inf + 357472 2.541 * * [simplify]: Extracting #8: cost 40 inf + 456353 2.662 * * [simplify]: Extracting #9: cost 0 inf + 482281 2.786 * [simplify]: Simplified to: (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) 2.796 * * [progress]: iteration 1 / 4 2.797 * * * [progress]: picking best candidate 2.805 * * * * [pick]: Picked # 2.805 * * * [progress]: localizing error 2.848 * * * [progress]: generating rewritten candidates 2.848 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.934 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.079 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.104 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.120 * * * [progress]: generating series expansions 3.120 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.121 * [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)) 3.121 * [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 3.121 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 3.121 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 3.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 3.121 * [taylor]: Taking taylor expansion of 1/4 in K 3.121 * [backup-simplify]: Simplify 1/4 into 1/4 3.121 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 3.121 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.121 * [taylor]: Taking taylor expansion of U in K 3.121 * [backup-simplify]: Simplify U into U 3.121 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 3.121 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.121 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.121 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.121 * [taylor]: Taking taylor expansion of 1/2 in K 3.121 * [backup-simplify]: Simplify 1/2 into 1/2 3.121 * [taylor]: Taking taylor expansion of K in K 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.122 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.122 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.122 * [taylor]: Taking taylor expansion of J in K 3.122 * [backup-simplify]: Simplify J into J 3.122 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.123 * [backup-simplify]: Simplify (* 1 1) into 1 3.123 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.123 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 3.123 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 3.123 * [taylor]: Taking taylor expansion of 1 in K 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 3.123 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3.123 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 3.123 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.123 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.123 * [backup-simplify]: Simplify (+ 0) into 0 3.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 3.124 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 3.125 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 3.125 * [backup-simplify]: Simplify (+ 0 0) into 0 3.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 3.125 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 3.125 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 3.125 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 3.125 * [taylor]: Taking taylor expansion of 1/4 in J 3.125 * [backup-simplify]: Simplify 1/4 into 1/4 3.125 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.125 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.125 * [taylor]: Taking taylor expansion of U in J 3.125 * [backup-simplify]: Simplify U into U 3.125 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.125 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.125 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.125 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.125 * [taylor]: Taking taylor expansion of 1/2 in J 3.125 * [backup-simplify]: Simplify 1/2 into 1/2 3.125 * [taylor]: Taking taylor expansion of K in J 3.125 * [backup-simplify]: Simplify K into K 3.125 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.125 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.126 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.126 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.126 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.126 * [backup-simplify]: Simplify (- 0) into 0 3.126 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.126 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.126 * [taylor]: Taking taylor expansion of J in J 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.126 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.127 * [backup-simplify]: Simplify (* 1 1) into 1 3.127 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.127 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 3.127 * [taylor]: Taking taylor expansion of 1 in J 3.127 * [backup-simplify]: Simplify 1 into 1 3.127 * [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))) 3.127 * [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))) 3.127 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.127 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.128 * [backup-simplify]: Simplify (+ 0) into 0 3.128 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.130 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.131 * [backup-simplify]: Simplify (- 0) into 0 3.131 * [backup-simplify]: Simplify (+ 0 0) into 0 3.131 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.132 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.132 * [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 3.133 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 3.133 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 3.134 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 3.134 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 3.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 3.134 * [taylor]: Taking taylor expansion of 1/4 in U 3.134 * [backup-simplify]: Simplify 1/4 into 1/4 3.134 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 3.134 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.134 * [taylor]: Taking taylor expansion of U in U 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 1 into 1 3.134 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 3.134 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 3.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.134 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.134 * [taylor]: Taking taylor expansion of 1/2 in U 3.134 * [backup-simplify]: Simplify 1/2 into 1/2 3.134 * [taylor]: Taking taylor expansion of K in U 3.134 * [backup-simplify]: Simplify K into K 3.134 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.134 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.134 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.134 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.134 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.135 * [backup-simplify]: Simplify (- 0) into 0 3.135 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.135 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.135 * [taylor]: Taking taylor expansion of J in U 3.135 * [backup-simplify]: Simplify J into J 3.135 * [backup-simplify]: Simplify (* 1 1) into 1 3.135 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.136 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.136 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 3.136 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.136 * [taylor]: Taking taylor expansion of 1 in U 3.136 * [backup-simplify]: Simplify 1 into 1 3.136 * [backup-simplify]: Simplify (+ 0 1) into 1 3.137 * [backup-simplify]: Simplify (sqrt 1) into 1 3.137 * [backup-simplify]: Simplify (+ 0 0) into 0 3.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.138 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 3.138 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 3.138 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 3.138 * [taylor]: Taking taylor expansion of 1/4 in U 3.138 * [backup-simplify]: Simplify 1/4 into 1/4 3.138 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 3.138 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.138 * [taylor]: Taking taylor expansion of U in U 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 1 into 1 3.138 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 3.138 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 3.139 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.139 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.139 * [taylor]: Taking taylor expansion of 1/2 in U 3.139 * [backup-simplify]: Simplify 1/2 into 1/2 3.139 * [taylor]: Taking taylor expansion of K in U 3.139 * [backup-simplify]: Simplify K into K 3.139 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.139 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.139 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.139 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.139 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.139 * [backup-simplify]: Simplify (- 0) into 0 3.140 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.140 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.140 * [taylor]: Taking taylor expansion of J in U 3.140 * [backup-simplify]: Simplify J into J 3.140 * [backup-simplify]: Simplify (* 1 1) into 1 3.140 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.140 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.140 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 3.141 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.141 * [taylor]: Taking taylor expansion of 1 in U 3.141 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (+ 0 1) into 1 3.142 * [backup-simplify]: Simplify (sqrt 1) into 1 3.142 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.143 * [taylor]: Taking taylor expansion of 1 in J 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [taylor]: Taking taylor expansion of 0 in J 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [taylor]: Taking taylor expansion of 1 in K 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [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))) 3.144 * [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)))) 3.145 * [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))) 3.145 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.145 * [taylor]: Taking taylor expansion of 1/8 in J 3.145 * [backup-simplify]: Simplify 1/8 into 1/8 3.145 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.145 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.145 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.145 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.145 * [taylor]: Taking taylor expansion of 1/2 in J 3.145 * [backup-simplify]: Simplify 1/2 into 1/2 3.145 * [taylor]: Taking taylor expansion of K in J 3.145 * [backup-simplify]: Simplify K into K 3.145 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.146 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.146 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.146 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.146 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.146 * [backup-simplify]: Simplify (- 0) into 0 3.146 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.146 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.146 * [taylor]: Taking taylor expansion of J in J 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.147 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.147 * [backup-simplify]: Simplify (* 1 1) into 1 3.147 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.147 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 3.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.148 * [backup-simplify]: Simplify (+ 0) into 0 3.149 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.151 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.151 * [backup-simplify]: Simplify (- 0) into 0 3.151 * [backup-simplify]: Simplify (+ 0 0) into 0 3.152 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.152 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.152 * [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 3.153 * [taylor]: Taking taylor expansion of 0 in K 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [taylor]: Taking taylor expansion of 0 in K 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [taylor]: Taking taylor expansion of 0 in K 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.154 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.154 * [backup-simplify]: Simplify (+ 0) into 0 3.155 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.156 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.157 * [backup-simplify]: Simplify (- 0) into 0 3.157 * [backup-simplify]: Simplify (+ 0 0) into 0 3.157 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.158 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 3.158 * [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 3.159 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 3.159 * [backup-simplify]: Simplify (+ 0 0) into 0 3.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 3.160 * [taylor]: Taking taylor expansion of 0 in J 3.160 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.161 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.162 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.163 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.163 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.163 * [backup-simplify]: Simplify (- 0) into 0 3.163 * [backup-simplify]: Simplify (+ 0 0) into 0 3.164 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 3.164 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.164 * [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 3.164 * [taylor]: Taking taylor expansion of 0 in K 3.164 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify 0 into 0 3.165 * [taylor]: Taking taylor expansion of 0 in K 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 1 into 1 3.165 * [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)) 3.165 * [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 3.165 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 3.165 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 3.165 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 3.165 * [taylor]: Taking taylor expansion of 1/4 in K 3.165 * [backup-simplify]: Simplify 1/4 into 1/4 3.165 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 3.165 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.165 * [taylor]: Taking taylor expansion of J in K 3.165 * [backup-simplify]: Simplify J into J 3.165 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 3.165 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.165 * [taylor]: Taking taylor expansion of U in K 3.165 * [backup-simplify]: Simplify U into U 3.165 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.165 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.165 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.165 * [taylor]: Taking taylor expansion of 1/2 in K 3.165 * [backup-simplify]: Simplify 1/2 into 1/2 3.165 * [taylor]: Taking taylor expansion of K in K 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 1 into 1 3.166 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.166 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.166 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.166 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.166 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.166 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.166 * [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))) 3.166 * [taylor]: Taking taylor expansion of 1 in K 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [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)))) 3.166 * [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) 3.167 * [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)) 3.167 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.167 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.167 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.167 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.167 * [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 3.168 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.168 * [backup-simplify]: Simplify (+ 0 0) into 0 3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 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 3.169 * [backup-simplify]: Simplify (- 0) into 0 3.169 * [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) 3.170 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.170 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.170 * [taylor]: Taking taylor expansion of 1 in J 3.170 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify (+ 0 1) into 1 3.170 * [backup-simplify]: Simplify (sqrt 1) into 1 3.171 * [backup-simplify]: Simplify (+ 0 0) into 0 3.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.171 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 3.171 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 3.171 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 3.171 * [taylor]: Taking taylor expansion of 1/4 in U 3.171 * [backup-simplify]: Simplify 1/4 into 1/4 3.171 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 3.171 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.171 * [taylor]: Taking taylor expansion of J in U 3.171 * [backup-simplify]: Simplify J into J 3.171 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 3.171 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.171 * [taylor]: Taking taylor expansion of U in U 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 3.171 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.171 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.171 * [taylor]: Taking taylor expansion of 1/2 in U 3.171 * [backup-simplify]: Simplify 1/2 into 1/2 3.171 * [taylor]: Taking taylor expansion of K in U 3.171 * [backup-simplify]: Simplify K into K 3.171 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.172 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.172 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.172 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.172 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.172 * [backup-simplify]: Simplify (- 0) into 0 3.172 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.172 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.172 * [backup-simplify]: Simplify (* 1 1) into 1 3.172 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.172 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 3.173 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.173 * [taylor]: Taking taylor expansion of 1 in U 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [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))) 3.173 * [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))) 3.173 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.173 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.173 * [backup-simplify]: Simplify (+ 0) into 0 3.174 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.174 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.175 * [backup-simplify]: Simplify (- 0) into 0 3.175 * [backup-simplify]: Simplify (+ 0 0) into 0 3.175 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.176 * [backup-simplify]: 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 3.176 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.177 * [backup-simplify]: Simplify (+ 0 0) into 0 3.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.177 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 3.177 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 3.177 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 3.177 * [taylor]: Taking taylor expansion of 1/4 in U 3.177 * [backup-simplify]: Simplify 1/4 into 1/4 3.177 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 3.177 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.177 * [taylor]: Taking taylor expansion of J in U 3.177 * [backup-simplify]: Simplify J into J 3.177 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 3.177 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.177 * [taylor]: Taking taylor expansion of U in U 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 1 into 1 3.177 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 3.177 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.177 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.177 * [taylor]: Taking taylor expansion of 1/2 in U 3.177 * [backup-simplify]: Simplify 1/2 into 1/2 3.177 * [taylor]: Taking taylor expansion of K in U 3.177 * [backup-simplify]: Simplify K into K 3.177 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.177 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.177 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.177 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.177 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.178 * [backup-simplify]: Simplify (- 0) into 0 3.178 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.178 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.178 * [backup-simplify]: Simplify (* 1 1) into 1 3.178 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.178 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 3.178 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.178 * [taylor]: Taking taylor expansion of 1 in U 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [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))) 3.178 * [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))) 3.179 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.179 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.179 * [backup-simplify]: Simplify (+ 0) into 0 3.179 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.179 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.180 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.180 * [backup-simplify]: Simplify (- 0) into 0 3.180 * [backup-simplify]: Simplify (+ 0 0) into 0 3.181 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.182 * [backup-simplify]: 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 3.182 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.182 * [backup-simplify]: Simplify (+ 0 0) into 0 3.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 3.182 * [taylor]: Taking taylor expansion of 1/2 in J 3.182 * [backup-simplify]: Simplify 1/2 into 1/2 3.182 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 3.182 * [taylor]: Taking taylor expansion of J in J 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.182 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.182 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.183 * [taylor]: Taking taylor expansion of 1/2 in J 3.183 * [backup-simplify]: Simplify 1/2 into 1/2 3.183 * [taylor]: Taking taylor expansion of K in J 3.183 * [backup-simplify]: Simplify K into K 3.183 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.183 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.183 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.183 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.183 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.183 * [backup-simplify]: Simplify (- 0) into 0 3.183 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.183 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.183 * [taylor]: Taking taylor expansion of 0 in J 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [taylor]: Taking taylor expansion of 0 in K 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 3.183 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 3.183 * [taylor]: Taking taylor expansion of 1/2 in K 3.183 * [backup-simplify]: Simplify 1/2 into 1/2 3.183 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.183 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.183 * [taylor]: Taking taylor expansion of 1/2 in K 3.183 * [backup-simplify]: Simplify 1/2 into 1/2 3.183 * [taylor]: Taking taylor expansion of K in K 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.184 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.184 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 3.184 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 3.184 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.185 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.185 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.186 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.186 * [backup-simplify]: Simplify (- 0) into 0 3.187 * [backup-simplify]: Simplify (+ 0 0) into 0 3.187 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 3.188 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.190 * [backup-simplify]: Simplify (+ 0 1) into 1 3.191 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 3.191 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.191 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.191 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.191 * [taylor]: Taking taylor expansion of 1/2 in J 3.191 * [backup-simplify]: Simplify 1/2 into 1/2 3.191 * [taylor]: Taking taylor expansion of K in J 3.191 * [backup-simplify]: Simplify K into K 3.191 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.191 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.191 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.191 * [taylor]: Taking taylor expansion of J in J 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.191 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.192 * [backup-simplify]: Simplify (- 0) into 0 3.192 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.192 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.192 * [backup-simplify]: Simplify (+ 0) into 0 3.193 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.193 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.194 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.195 * [backup-simplify]: Simplify (- 0) into 0 3.195 * [backup-simplify]: Simplify (+ 0 0) into 0 3.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.196 * [taylor]: Taking taylor expansion of 0 in K 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [taylor]: Taking taylor expansion of 0 in K 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify (+ 0) into 0 3.197 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.197 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.198 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.199 * [backup-simplify]: Simplify (- 0) into 0 3.199 * [backup-simplify]: Simplify (+ 0 0) into 0 3.199 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 3.200 * [taylor]: Taking taylor expansion of 0 in K 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.200 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.202 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.203 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.203 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.205 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.206 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.206 * [backup-simplify]: Simplify (- 0) into 0 3.206 * [backup-simplify]: Simplify (+ 0 0) into 0 3.207 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.211 * [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 3.212 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.212 * [backup-simplify]: Simplify (+ 0 0) into 0 3.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 3.213 * [taylor]: Taking taylor expansion of 0 in J 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [taylor]: Taking taylor expansion of 0 in K 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [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))) 3.213 * [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)))))) 3.213 * [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 3.214 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 3.214 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 3.214 * [taylor]: Taking taylor expansion of 1 in K 3.214 * [backup-simplify]: Simplify 1 into 1 3.214 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 3.214 * [taylor]: Taking taylor expansion of 1/4 in K 3.214 * [backup-simplify]: Simplify 1/4 into 1/4 3.214 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 3.214 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.214 * [taylor]: Taking taylor expansion of J in K 3.214 * [backup-simplify]: Simplify J into J 3.214 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 3.214 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.214 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.214 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.214 * [taylor]: Taking taylor expansion of -1/2 in K 3.214 * [backup-simplify]: Simplify -1/2 into -1/2 3.214 * [taylor]: Taking taylor expansion of K in K 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 1 into 1 3.214 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.215 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.215 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.215 * [taylor]: Taking taylor expansion of U in K 3.215 * [backup-simplify]: Simplify U into U 3.215 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.215 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.215 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.215 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.215 * [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))) 3.216 * [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)))) 3.216 * [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))))) 3.216 * [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)))))) 3.216 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.217 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.217 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.217 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.217 * [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 3.219 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.219 * [backup-simplify]: Simplify (+ 0 0) into 0 3.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 3.219 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.219 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.219 * [taylor]: Taking taylor expansion of 1 in J 3.219 * [backup-simplify]: Simplify 1 into 1 3.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.220 * [taylor]: Taking taylor expansion of 1/4 in J 3.220 * [backup-simplify]: Simplify 1/4 into 1/4 3.220 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.220 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.220 * [taylor]: Taking taylor expansion of J in J 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify 1 into 1 3.220 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.220 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.220 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.220 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.220 * [taylor]: Taking taylor expansion of -1/2 in J 3.220 * [backup-simplify]: Simplify -1/2 into -1/2 3.220 * [taylor]: Taking taylor expansion of K in J 3.220 * [backup-simplify]: Simplify K into K 3.220 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.220 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.220 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.220 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.220 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.220 * [backup-simplify]: Simplify (- 0) into 0 3.221 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.221 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.221 * [taylor]: Taking taylor expansion of U in J 3.221 * [backup-simplify]: Simplify U into U 3.221 * [backup-simplify]: Simplify (* 1 1) into 1 3.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.221 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.221 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.221 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.221 * [backup-simplify]: Simplify (+ 1 0) into 1 3.222 * [backup-simplify]: Simplify (sqrt 1) into 1 3.222 * [backup-simplify]: Simplify (+ 0 0) into 0 3.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.222 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 3.222 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 3.222 * [taylor]: Taking taylor expansion of 1 in U 3.222 * [backup-simplify]: Simplify 1 into 1 3.222 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.222 * [taylor]: Taking taylor expansion of 1/4 in U 3.222 * [backup-simplify]: Simplify 1/4 into 1/4 3.222 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.223 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.223 * [taylor]: Taking taylor expansion of J in U 3.223 * [backup-simplify]: Simplify J into J 3.223 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.223 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.223 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.223 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.223 * [taylor]: Taking taylor expansion of -1/2 in U 3.223 * [backup-simplify]: Simplify -1/2 into -1/2 3.223 * [taylor]: Taking taylor expansion of K in U 3.223 * [backup-simplify]: Simplify K into K 3.223 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.223 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.223 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.223 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.223 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.223 * [backup-simplify]: Simplify (- 0) into 0 3.223 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.223 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.223 * [taylor]: Taking taylor expansion of U in U 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.223 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.224 * [backup-simplify]: Simplify (* 1 1) into 1 3.224 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.224 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.224 * [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))) 3.224 * [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))) 3.224 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.224 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.225 * [backup-simplify]: Simplify (+ 0) into 0 3.225 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.226 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.226 * [backup-simplify]: Simplify (- 0) into 0 3.227 * [backup-simplify]: Simplify (+ 0 0) into 0 3.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.227 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 3.227 * [backup-simplify]: 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 3.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.228 * [backup-simplify]: Simplify (+ 0 0) into 0 3.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.228 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 3.228 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 3.228 * [taylor]: Taking taylor expansion of 1 in U 3.228 * [backup-simplify]: Simplify 1 into 1 3.228 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.228 * [taylor]: Taking taylor expansion of 1/4 in U 3.228 * [backup-simplify]: Simplify 1/4 into 1/4 3.228 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.228 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.228 * [taylor]: Taking taylor expansion of J in U 3.228 * [backup-simplify]: Simplify J into J 3.228 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.228 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.228 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.228 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.228 * [taylor]: Taking taylor expansion of -1/2 in U 3.228 * [backup-simplify]: Simplify -1/2 into -1/2 3.228 * [taylor]: Taking taylor expansion of K in U 3.228 * [backup-simplify]: Simplify K into K 3.228 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.228 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.228 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.228 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.228 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.229 * [backup-simplify]: Simplify (- 0) into 0 3.229 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.229 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.229 * [taylor]: Taking taylor expansion of U in U 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.229 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.229 * [backup-simplify]: Simplify (* 1 1) into 1 3.229 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.229 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.230 * [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))) 3.230 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.230 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.230 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.230 * [backup-simplify]: Simplify (+ 0) into 0 3.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.231 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.234 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.234 * [backup-simplify]: Simplify (- 0) into 0 3.234 * [backup-simplify]: Simplify (+ 0 0) into 0 3.234 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.235 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 3.235 * [backup-simplify]: 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 3.235 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.235 * [backup-simplify]: Simplify (+ 0 0) into 0 3.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 3.236 * [taylor]: Taking taylor expansion of 1/2 in J 3.236 * [backup-simplify]: Simplify 1/2 into 1/2 3.236 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 3.236 * [taylor]: Taking taylor expansion of J in J 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 1 into 1 3.236 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.236 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.236 * [taylor]: Taking taylor expansion of -1/2 in J 3.236 * [backup-simplify]: Simplify -1/2 into -1/2 3.236 * [taylor]: Taking taylor expansion of K in J 3.236 * [backup-simplify]: Simplify K into K 3.236 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.236 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.236 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.236 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.236 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.236 * [backup-simplify]: Simplify (- 0) into 0 3.236 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.236 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 3.237 * [taylor]: Taking taylor expansion of 0 in J 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [taylor]: Taking taylor expansion of 0 in K 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 3.237 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 3.237 * [taylor]: Taking taylor expansion of 1/2 in K 3.237 * [backup-simplify]: Simplify 1/2 into 1/2 3.237 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.237 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.237 * [taylor]: Taking taylor expansion of -1/2 in K 3.237 * [backup-simplify]: Simplify -1/2 into -1/2 3.237 * [taylor]: Taking taylor expansion of K in K 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.237 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.237 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 3.237 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 3.238 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.239 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.239 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.240 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.240 * [backup-simplify]: Simplify (- 0) into 0 3.240 * [backup-simplify]: Simplify (+ 0 0) into 0 3.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.241 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.241 * [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 3.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 3.242 * [backup-simplify]: Simplify (+ 1 0) into 1 3.243 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 3.243 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) 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 * [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 * [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 3.244 * [backup-simplify]: Simplify (- 0) into 0 3.244 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.244 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.244 * [backup-simplify]: Simplify (+ 0) into 0 3.244 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.244 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.245 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.245 * [backup-simplify]: Simplify (- 0) into 0 3.245 * [backup-simplify]: Simplify (+ 0 0) into 0 3.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.246 * [taylor]: Taking taylor expansion of 0 in K 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [taylor]: Taking taylor expansion of 0 in K 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (+ 0) into 0 3.247 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.247 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.248 * [backup-simplify]: Simplify (- 0) into 0 3.248 * [backup-simplify]: Simplify (+ 0 0) into 0 3.248 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 3.249 * [taylor]: Taking taylor expansion of 0 in K 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.253 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.255 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.256 * [backup-simplify]: Simplify (- 0) into 0 3.256 * [backup-simplify]: Simplify (+ 0 0) into 0 3.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.258 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.258 * [backup-simplify]: 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 3.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.260 * [backup-simplify]: Simplify (+ 0 0) into 0 3.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 3.261 * [taylor]: Taking taylor expansion of 0 in J 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [taylor]: Taking taylor expansion of 0 in K 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [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))) 3.261 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.262 * [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)))) 3.262 * [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 3.262 * [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 3.262 * [taylor]: Taking taylor expansion of -2 in U 3.262 * [backup-simplify]: Simplify -2 into -2 3.262 * [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 3.262 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.262 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.262 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.262 * [taylor]: Taking taylor expansion of 1/2 in U 3.262 * [backup-simplify]: Simplify 1/2 into 1/2 3.262 * [taylor]: Taking taylor expansion of K in U 3.262 * [backup-simplify]: Simplify K into K 3.262 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.262 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.262 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.262 * [taylor]: Taking taylor expansion of J in U 3.262 * [backup-simplify]: Simplify J into J 3.262 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 3.262 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 3.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 3.262 * [taylor]: Taking taylor expansion of 1/4 in U 3.263 * [backup-simplify]: Simplify 1/4 into 1/4 3.263 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 3.263 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.263 * [taylor]: Taking taylor expansion of U in U 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 3.263 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 3.263 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.263 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.263 * [taylor]: Taking taylor expansion of 1/2 in U 3.263 * [backup-simplify]: Simplify 1/2 into 1/2 3.263 * [taylor]: Taking taylor expansion of K in U 3.263 * [backup-simplify]: Simplify K into K 3.263 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.263 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.263 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.263 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.263 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.264 * [backup-simplify]: Simplify (- 0) into 0 3.264 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.264 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.264 * [taylor]: Taking taylor expansion of J in U 3.264 * [backup-simplify]: Simplify J into J 3.264 * [backup-simplify]: Simplify (* 1 1) into 1 3.264 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.264 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.265 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 3.265 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.265 * [taylor]: Taking taylor expansion of 1 in U 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (+ 0 1) into 1 3.266 * [backup-simplify]: Simplify (sqrt 1) into 1 3.266 * [backup-simplify]: Simplify (+ 0 0) into 0 3.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.267 * [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 3.267 * [taylor]: Taking taylor expansion of -2 in K 3.267 * [backup-simplify]: Simplify -2 into -2 3.267 * [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 3.267 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) 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 3.268 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.269 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.269 * [taylor]: Taking taylor expansion of J in K 3.269 * [backup-simplify]: Simplify J into J 3.269 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 3.269 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 3.269 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 3.269 * [taylor]: Taking taylor expansion of 1/4 in K 3.269 * [backup-simplify]: Simplify 1/4 into 1/4 3.269 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 3.269 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.269 * [taylor]: Taking taylor expansion of U in K 3.269 * [backup-simplify]: Simplify U into U 3.269 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 3.269 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.269 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.269 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.269 * [taylor]: Taking taylor expansion of 1/2 in K 3.269 * [backup-simplify]: Simplify 1/2 into 1/2 3.269 * [taylor]: Taking taylor expansion of K in K 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.271 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.271 * [taylor]: Taking taylor expansion of J in K 3.271 * [backup-simplify]: Simplify J into J 3.271 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.271 * [backup-simplify]: Simplify (* 1 1) into 1 3.271 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.271 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 3.272 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 3.272 * [taylor]: Taking taylor expansion of 1 in K 3.272 * [backup-simplify]: Simplify 1 into 1 3.272 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 3.272 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3.272 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 3.272 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.272 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.273 * [backup-simplify]: Simplify (+ 0) into 0 3.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 3.274 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 3.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 3.275 * [backup-simplify]: Simplify (+ 0 0) into 0 3.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 3.276 * [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 3.276 * [taylor]: Taking taylor expansion of -2 in J 3.276 * [backup-simplify]: Simplify -2 into -2 3.276 * [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 3.276 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.276 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.276 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.276 * [taylor]: Taking taylor expansion of 1/2 in J 3.276 * [backup-simplify]: Simplify 1/2 into 1/2 3.276 * [taylor]: Taking taylor expansion of K in J 3.276 * [backup-simplify]: Simplify K into K 3.276 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.276 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.276 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.276 * [taylor]: Taking taylor expansion of J in J 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.276 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 3.276 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 3.276 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 3.276 * [taylor]: Taking taylor expansion of 1/4 in J 3.276 * [backup-simplify]: Simplify 1/4 into 1/4 3.277 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.277 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.277 * [taylor]: Taking taylor expansion of U in J 3.277 * [backup-simplify]: Simplify U into U 3.277 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.277 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.277 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.277 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.277 * [taylor]: Taking taylor expansion of 1/2 in J 3.277 * [backup-simplify]: Simplify 1/2 into 1/2 3.277 * [taylor]: Taking taylor expansion of K in J 3.277 * [backup-simplify]: Simplify K into K 3.277 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.277 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.277 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.277 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.277 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.278 * [backup-simplify]: Simplify (- 0) into 0 3.278 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.278 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.278 * [taylor]: Taking taylor expansion of J in J 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 1 into 1 3.278 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.278 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.278 * [backup-simplify]: Simplify (* 1 1) into 1 3.279 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.279 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 3.279 * [taylor]: Taking taylor expansion of 1 in J 3.279 * [backup-simplify]: Simplify 1 into 1 3.279 * [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))) 3.279 * [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))) 3.280 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.280 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.281 * [backup-simplify]: Simplify (+ 0) into 0 3.281 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.283 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.283 * [backup-simplify]: Simplify (- 0) into 0 3.284 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.285 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.285 * [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 3.286 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 3.286 * [backup-simplify]: Simplify (+ 0 0) into 0 3.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 3.286 * [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 3.286 * [taylor]: Taking taylor expansion of -2 in J 3.286 * [backup-simplify]: Simplify -2 into -2 3.286 * [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 3.286 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.287 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.287 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.287 * [taylor]: Taking taylor expansion of 1/2 in J 3.287 * [backup-simplify]: Simplify 1/2 into 1/2 3.287 * [taylor]: Taking taylor expansion of K in J 3.287 * [backup-simplify]: Simplify K into K 3.287 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.287 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.287 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.287 * [taylor]: Taking taylor expansion of J in J 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 3.287 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 3.287 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 3.287 * [taylor]: Taking taylor expansion of 1/4 in J 3.287 * [backup-simplify]: Simplify 1/4 into 1/4 3.287 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.287 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.287 * [taylor]: Taking taylor expansion of U in J 3.287 * [backup-simplify]: Simplify U into U 3.287 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.287 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.287 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.287 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.287 * [taylor]: Taking taylor expansion of 1/2 in J 3.287 * [backup-simplify]: Simplify 1/2 into 1/2 3.287 * [taylor]: Taking taylor expansion of K in J 3.287 * [backup-simplify]: Simplify K into K 3.288 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.288 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.288 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.288 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.288 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.288 * [backup-simplify]: Simplify (- 0) into 0 3.288 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.288 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.288 * [taylor]: Taking taylor expansion of J in J 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.289 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.289 * [backup-simplify]: Simplify (* 1 1) into 1 3.289 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.289 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 3.289 * [taylor]: Taking taylor expansion of 1 in J 3.289 * [backup-simplify]: Simplify 1 into 1 3.290 * [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))) 3.290 * [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))) 3.290 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.290 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.291 * [backup-simplify]: Simplify (+ 0) into 0 3.292 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.294 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.294 * [backup-simplify]: Simplify (- 0) into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.295 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.295 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.296 * [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 3.296 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 3.297 * [backup-simplify]: Simplify (+ 0 0) into 0 3.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 3.297 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.297 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.297 * [backup-simplify]: Simplify (- 0) into 0 3.298 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.298 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.298 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 3.298 * [backup-simplify]: Simplify (* -2 0) into 0 3.298 * [taylor]: Taking taylor expansion of 0 in K 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [taylor]: Taking taylor expansion of 0 in U 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify (+ 0) into 0 3.299 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.301 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.302 * [backup-simplify]: Simplify (- 0) into 0 3.302 * [backup-simplify]: Simplify (+ 0 0) into 0 3.302 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.303 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 3.303 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 3.303 * [taylor]: Taking taylor expansion of (- U) in K 3.304 * [taylor]: Taking taylor expansion of U in K 3.304 * [backup-simplify]: Simplify U into U 3.304 * [backup-simplify]: Simplify (- U) into (- U) 3.304 * [taylor]: Taking taylor expansion of (- U) in U 3.304 * [taylor]: Taking taylor expansion of U in U 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 1 into 1 3.304 * [backup-simplify]: Simplify (- 0) into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [taylor]: Taking taylor expansion of 0 in U 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 3.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.307 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.309 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.310 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.310 * [backup-simplify]: Simplify (- 0) into 0 3.311 * [backup-simplify]: Simplify (+ 0 0) into 0 3.311 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 3.312 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.312 * [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 3.313 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 3.314 * [backup-simplify]: Simplify (+ 0 1) into 1 3.315 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 3.316 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.316 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.318 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.319 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.319 * [backup-simplify]: Simplify (- 0) into 0 3.320 * [backup-simplify]: Simplify (+ 0 0) into 0 3.320 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.320 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 3.321 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 3.321 * [taylor]: Taking taylor expansion of 0 in K 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [taylor]: Taking taylor expansion of 0 in U 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify (- 0) into 0 3.321 * [taylor]: Taking taylor expansion of 0 in U 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.322 * [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))) 3.322 * [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 3.322 * [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 3.322 * [taylor]: Taking taylor expansion of -2 in U 3.322 * [backup-simplify]: Simplify -2 into -2 3.322 * [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 3.322 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 3.322 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 3.322 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 3.322 * [taylor]: Taking taylor expansion of 1/4 in U 3.322 * [backup-simplify]: Simplify 1/4 into 1/4 3.322 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 3.322 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.322 * [taylor]: Taking taylor expansion of J in U 3.322 * [backup-simplify]: Simplify J into J 3.322 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 3.322 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.322 * [taylor]: Taking taylor expansion of U in U 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 1 into 1 3.322 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 3.322 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.322 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.322 * [taylor]: Taking taylor expansion of 1/2 in U 3.322 * [backup-simplify]: Simplify 1/2 into 1/2 3.322 * [taylor]: Taking taylor expansion of K in U 3.322 * [backup-simplify]: Simplify K into K 3.322 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.322 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.322 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.323 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.323 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.323 * [backup-simplify]: Simplify (- 0) into 0 3.323 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.323 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.323 * [backup-simplify]: Simplify (* 1 1) into 1 3.323 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.323 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 3.323 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.323 * [taylor]: Taking taylor expansion of 1 in U 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [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))) 3.324 * [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))) 3.324 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.324 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.324 * [backup-simplify]: Simplify (+ 0) into 0 3.325 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.325 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.325 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.326 * [backup-simplify]: Simplify (- 0) into 0 3.326 * [backup-simplify]: Simplify (+ 0 0) into 0 3.326 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.327 * [backup-simplify]: 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 3.327 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.328 * [backup-simplify]: Simplify (+ 0 0) into 0 3.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.328 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 3.328 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.328 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.328 * [taylor]: Taking taylor expansion of 1/2 in U 3.328 * [backup-simplify]: Simplify 1/2 into 1/2 3.328 * [taylor]: Taking taylor expansion of K in U 3.328 * [backup-simplify]: Simplify K into K 3.328 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.328 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.328 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.328 * [taylor]: Taking taylor expansion of J in U 3.328 * [backup-simplify]: Simplify J into J 3.328 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.328 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.328 * [backup-simplify]: Simplify (- 0) into 0 3.328 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.328 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.329 * [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 3.329 * [taylor]: Taking taylor expansion of -2 in K 3.329 * [backup-simplify]: Simplify -2 into -2 3.329 * [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 3.329 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 3.329 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 3.329 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 3.329 * [taylor]: Taking taylor expansion of 1/4 in K 3.329 * [backup-simplify]: Simplify 1/4 into 1/4 3.329 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 3.329 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.329 * [taylor]: Taking taylor expansion of J in K 3.329 * [backup-simplify]: Simplify J into J 3.329 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 3.329 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.329 * [taylor]: Taking taylor expansion of U in K 3.329 * [backup-simplify]: Simplify U into U 3.329 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.329 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.329 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.329 * [taylor]: Taking taylor expansion of 1/2 in K 3.329 * [backup-simplify]: Simplify 1/2 into 1/2 3.329 * [taylor]: Taking taylor expansion of K in K 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.330 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.330 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.330 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.330 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.330 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.330 * [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))) 3.330 * [taylor]: Taking taylor expansion of 1 in K 3.330 * [backup-simplify]: Simplify 1 into 1 3.330 * [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)))) 3.330 * [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) 3.331 * [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)) 3.331 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.331 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.331 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.331 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.331 * [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 3.332 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 3.332 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 3.332 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.332 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.332 * [taylor]: Taking taylor expansion of 1/2 in K 3.332 * [backup-simplify]: Simplify 1/2 into 1/2 3.332 * [taylor]: Taking taylor expansion of K in K 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 1 into 1 3.333 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.333 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.333 * [taylor]: Taking taylor expansion of J in K 3.333 * [backup-simplify]: Simplify J into J 3.333 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.333 * [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 3.333 * [taylor]: Taking taylor expansion of -2 in J 3.333 * [backup-simplify]: Simplify -2 into -2 3.333 * [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 3.333 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 3.333 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 3.333 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 3.333 * [taylor]: Taking taylor expansion of 1/4 in J 3.333 * [backup-simplify]: Simplify 1/4 into 1/4 3.333 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 3.333 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.333 * [taylor]: Taking taylor expansion of J in J 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 1 into 1 3.333 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 3.333 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.333 * [taylor]: Taking taylor expansion of U in J 3.333 * [backup-simplify]: Simplify U into U 3.333 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.333 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.333 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.333 * [taylor]: Taking taylor expansion of 1/2 in J 3.333 * [backup-simplify]: Simplify 1/2 into 1/2 3.333 * [taylor]: Taking taylor expansion of K in J 3.333 * [backup-simplify]: Simplify K into K 3.333 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.333 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.333 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.334 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.334 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.334 * [backup-simplify]: Simplify (- 0) into 0 3.334 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.334 * [backup-simplify]: Simplify (* 1 1) into 1 3.334 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.334 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.334 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.335 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.335 * [taylor]: Taking taylor expansion of 1 in J 3.335 * [backup-simplify]: Simplify 1 into 1 3.335 * [backup-simplify]: Simplify (+ 0 1) into 1 3.335 * [backup-simplify]: Simplify (sqrt 1) into 1 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.336 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.336 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.336 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.336 * [taylor]: Taking taylor expansion of 1/2 in J 3.336 * [backup-simplify]: Simplify 1/2 into 1/2 3.336 * [taylor]: Taking taylor expansion of K in J 3.336 * [backup-simplify]: Simplify K into K 3.336 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.336 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.336 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.336 * [taylor]: Taking taylor expansion of J in J 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.336 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.336 * [backup-simplify]: Simplify (- 0) into 0 3.337 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.337 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.337 * [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 3.337 * [taylor]: Taking taylor expansion of -2 in J 3.337 * [backup-simplify]: Simplify -2 into -2 3.337 * [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 3.337 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 3.337 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 3.337 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 3.337 * [taylor]: Taking taylor expansion of 1/4 in J 3.337 * [backup-simplify]: Simplify 1/4 into 1/4 3.337 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 3.337 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.337 * [taylor]: Taking taylor expansion of J in J 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.337 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 3.337 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.337 * [taylor]: Taking taylor expansion of U in J 3.337 * [backup-simplify]: Simplify U into U 3.337 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.337 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.337 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.337 * [taylor]: Taking taylor expansion of 1/2 in J 3.337 * [backup-simplify]: Simplify 1/2 into 1/2 3.337 * [taylor]: Taking taylor expansion of K in J 3.337 * [backup-simplify]: Simplify K into K 3.337 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.337 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.337 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.337 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.337 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.337 * [backup-simplify]: Simplify (- 0) into 0 3.338 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.338 * [backup-simplify]: Simplify (* 1 1) into 1 3.338 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.338 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.338 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.338 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.338 * [taylor]: Taking taylor expansion of 1 in J 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (+ 0 1) into 1 3.339 * [backup-simplify]: Simplify (sqrt 1) into 1 3.339 * [backup-simplify]: Simplify (+ 0 0) into 0 3.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.339 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.339 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.339 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.339 * [taylor]: Taking taylor expansion of 1/2 in J 3.339 * [backup-simplify]: Simplify 1/2 into 1/2 3.339 * [taylor]: Taking taylor expansion of K in J 3.339 * [backup-simplify]: Simplify K into K 3.339 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.340 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.340 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.340 * [taylor]: Taking taylor expansion of J in J 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.340 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.340 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.340 * [backup-simplify]: Simplify (- 0) into 0 3.340 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.340 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.340 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 3.340 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.340 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 3.340 * [taylor]: Taking taylor expansion of -2 in K 3.340 * [backup-simplify]: Simplify -2 into -2 3.340 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.340 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.340 * [taylor]: Taking taylor expansion of 1/2 in K 3.340 * [backup-simplify]: Simplify 1/2 into 1/2 3.340 * [taylor]: Taking taylor expansion of K in K 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.341 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.341 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.341 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.341 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 3.341 * [taylor]: Taking taylor expansion of -2 in U 3.341 * [backup-simplify]: Simplify -2 into -2 3.341 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.341 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.341 * [taylor]: Taking taylor expansion of 1/2 in U 3.341 * [backup-simplify]: Simplify 1/2 into 1/2 3.341 * [taylor]: Taking taylor expansion of K in U 3.341 * [backup-simplify]: Simplify K into K 3.341 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.341 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.341 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.341 * [backup-simplify]: Simplify (+ 0) into 0 3.342 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.342 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.343 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.343 * [backup-simplify]: Simplify (- 0) into 0 3.343 * [backup-simplify]: Simplify (+ 0 0) into 0 3.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 3.344 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.344 * [taylor]: Taking taylor expansion of 0 in K 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [taylor]: Taking taylor expansion of 0 in U 3.344 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.345 * [taylor]: Taking taylor expansion of 0 in U 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.345 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.345 * [backup-simplify]: Simplify (- 0) into 0 3.345 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.345 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.345 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.346 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.347 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.347 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.347 * [backup-simplify]: Simplify (- 0) into 0 3.348 * [backup-simplify]: Simplify (+ 0 0) into 0 3.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.349 * [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))) 3.349 * [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)))) 3.350 * [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))) 3.351 * [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))))) 3.352 * [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)))))) 3.352 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 3.352 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 3.352 * [taylor]: Taking taylor expansion of 1/4 in K 3.352 * [backup-simplify]: Simplify 1/4 into 1/4 3.352 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 3.352 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 3.352 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.352 * [taylor]: Taking taylor expansion of U in K 3.352 * [backup-simplify]: Simplify U into U 3.352 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.352 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.352 * [taylor]: Taking taylor expansion of 1/2 in K 3.353 * [backup-simplify]: Simplify 1/2 into 1/2 3.353 * [taylor]: Taking taylor expansion of K in K 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.353 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.353 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.353 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 3.353 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 3.354 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 3.354 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 3.354 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 3.354 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 3.354 * [taylor]: Taking taylor expansion of 1/4 in U 3.354 * [backup-simplify]: Simplify 1/4 into 1/4 3.354 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 3.354 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 3.354 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.354 * [taylor]: Taking taylor expansion of U in U 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.354 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.354 * [taylor]: Taking taylor expansion of 1/2 in U 3.354 * [backup-simplify]: Simplify 1/2 into 1/2 3.354 * [taylor]: Taking taylor expansion of K in U 3.354 * [backup-simplify]: Simplify K into K 3.354 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.354 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.354 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.355 * [backup-simplify]: Simplify (* 1 1) into 1 3.355 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.355 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.355 * [backup-simplify]: Simplify (- 0) into 0 3.356 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.356 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 3.356 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.356 * [backup-simplify]: Simplify (+ 0) into 0 3.357 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.357 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.358 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.360 * [backup-simplify]: Simplify (- 0) into 0 3.360 * [backup-simplify]: Simplify (+ 0 0) into 0 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 3.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.362 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 3.363 * [backup-simplify]: Simplify (- 0) into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [taylor]: Taking taylor expansion of 0 in U 3.363 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.364 * [taylor]: Taking taylor expansion of 0 in U 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (+ 0) into 0 3.365 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.365 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.366 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.366 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.366 * [backup-simplify]: Simplify (- 0) into 0 3.367 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.367 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.369 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.369 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.371 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.372 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.372 * [backup-simplify]: Simplify (- 0) into 0 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.374 * [backup-simplify]: Simplify (+ 0) into 0 3.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.374 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.375 * [backup-simplify]: Simplify (- 0) into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.376 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.376 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.376 * [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 3.377 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.377 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 3.378 * [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 3.379 * [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 3.379 * [taylor]: Taking taylor expansion of 0 in K 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [taylor]: Taking taylor expansion of 0 in U 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.379 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 3.380 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 3.380 * [backup-simplify]: Simplify (- 0) into 0 3.380 * [taylor]: Taking taylor expansion of 0 in U 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [taylor]: Taking taylor expansion of 0 in U 3.380 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.381 * [taylor]: Taking taylor expansion of 0 in U 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.382 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.382 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.382 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.383 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.383 * [backup-simplify]: Simplify (- 0) into 0 3.383 * [backup-simplify]: Simplify (+ 0 0) into 0 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.385 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 3.385 * [backup-simplify]: Simplify (- 0) into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.386 * [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)))))))) 3.386 * [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 3.386 * [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 3.386 * [taylor]: Taking taylor expansion of 2 in U 3.386 * [backup-simplify]: Simplify 2 into 2 3.386 * [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 3.386 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 3.386 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.386 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.386 * [taylor]: Taking taylor expansion of -1/2 in U 3.386 * [backup-simplify]: Simplify -1/2 into -1/2 3.386 * [taylor]: Taking taylor expansion of K in U 3.386 * [backup-simplify]: Simplify K into K 3.386 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.386 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.386 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.386 * [taylor]: Taking taylor expansion of J in U 3.386 * [backup-simplify]: Simplify J into J 3.386 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.386 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.386 * [backup-simplify]: Simplify (- 0) into 0 3.386 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.386 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.386 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 3.387 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 3.387 * [taylor]: Taking taylor expansion of 1 in U 3.387 * [backup-simplify]: Simplify 1 into 1 3.387 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.387 * [taylor]: Taking taylor expansion of 1/4 in U 3.387 * [backup-simplify]: Simplify 1/4 into 1/4 3.387 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.387 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.387 * [taylor]: Taking taylor expansion of J in U 3.387 * [backup-simplify]: Simplify J into J 3.387 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.387 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.387 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.387 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.387 * [taylor]: Taking taylor expansion of -1/2 in U 3.387 * [backup-simplify]: Simplify -1/2 into -1/2 3.387 * [taylor]: Taking taylor expansion of K in U 3.387 * [backup-simplify]: Simplify K into K 3.387 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.387 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.387 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.387 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.387 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.387 * [backup-simplify]: Simplify (- 0) into 0 3.387 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.387 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.387 * [taylor]: Taking taylor expansion of U in U 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.387 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.388 * [backup-simplify]: Simplify (* 1 1) into 1 3.388 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.388 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.388 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.388 * [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))) 3.388 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.388 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.389 * [backup-simplify]: Simplify (+ 0) into 0 3.389 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.389 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.390 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.390 * [backup-simplify]: Simplify (- 0) into 0 3.391 * [backup-simplify]: Simplify (+ 0 0) into 0 3.391 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.391 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) 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))))) into 0 3.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.392 * [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 3.392 * [taylor]: Taking taylor expansion of 2 in K 3.392 * [backup-simplify]: Simplify 2 into 2 3.392 * [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 3.392 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 3.392 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.392 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.392 * [taylor]: Taking taylor expansion of -1/2 in K 3.392 * [backup-simplify]: Simplify -1/2 into -1/2 3.392 * [taylor]: Taking taylor expansion of K in K 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.393 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.393 * [taylor]: Taking taylor expansion of J in K 3.393 * [backup-simplify]: Simplify J into J 3.393 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.393 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 3.393 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 3.393 * [taylor]: Taking taylor expansion of 1 in K 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 3.393 * [taylor]: Taking taylor expansion of 1/4 in K 3.393 * [backup-simplify]: Simplify 1/4 into 1/4 3.393 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 3.393 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.393 * [taylor]: Taking taylor expansion of J in K 3.393 * [backup-simplify]: Simplify J into J 3.393 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 3.393 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.393 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.393 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.393 * [taylor]: Taking taylor expansion of -1/2 in K 3.393 * [backup-simplify]: Simplify -1/2 into -1/2 3.393 * [taylor]: Taking taylor expansion of K in K 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.393 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.393 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.393 * [taylor]: Taking taylor expansion of U in K 3.393 * [backup-simplify]: Simplify U into U 3.393 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.393 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.394 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.394 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.394 * [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))) 3.394 * [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)))) 3.394 * [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))))) 3.394 * [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)))))) 3.394 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.394 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.395 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.395 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.395 * [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 3.395 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 3.396 * [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 3.396 * [taylor]: Taking taylor expansion of 2 in J 3.396 * [backup-simplify]: Simplify 2 into 2 3.396 * [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 3.396 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.396 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.396 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.396 * [taylor]: Taking taylor expansion of -1/2 in J 3.396 * [backup-simplify]: Simplify -1/2 into -1/2 3.396 * [taylor]: Taking taylor expansion of K in J 3.396 * [backup-simplify]: Simplify K into K 3.396 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.396 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.396 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.396 * [taylor]: Taking taylor expansion of J in J 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.396 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.397 * [backup-simplify]: Simplify (- 0) into 0 3.397 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.397 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.397 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.397 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.397 * [taylor]: Taking taylor expansion of 1 in J 3.397 * [backup-simplify]: Simplify 1 into 1 3.397 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.397 * [taylor]: Taking taylor expansion of 1/4 in J 3.397 * [backup-simplify]: Simplify 1/4 into 1/4 3.397 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.397 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.397 * [taylor]: Taking taylor expansion of J in J 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.397 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.397 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.397 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.397 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.397 * [taylor]: Taking taylor expansion of -1/2 in J 3.397 * [backup-simplify]: Simplify -1/2 into -1/2 3.397 * [taylor]: Taking taylor expansion of K in J 3.397 * [backup-simplify]: Simplify K into K 3.397 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.397 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.397 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.397 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.397 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.397 * [backup-simplify]: Simplify (- 0) into 0 3.398 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.398 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.398 * [taylor]: Taking taylor expansion of U in J 3.398 * [backup-simplify]: Simplify U into U 3.398 * [backup-simplify]: Simplify (* 1 1) into 1 3.398 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.398 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.398 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.398 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.398 * [backup-simplify]: Simplify (+ 1 0) into 1 3.399 * [backup-simplify]: Simplify (sqrt 1) into 1 3.399 * [backup-simplify]: Simplify (+ 0 0) into 0 3.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.399 * [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 3.399 * [taylor]: Taking taylor expansion of 2 in J 3.399 * [backup-simplify]: Simplify 2 into 2 3.399 * [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 3.399 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.399 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.400 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.400 * [taylor]: Taking taylor expansion of -1/2 in J 3.400 * [backup-simplify]: Simplify -1/2 into -1/2 3.400 * [taylor]: Taking taylor expansion of K in J 3.400 * [backup-simplify]: Simplify K into K 3.400 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.400 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.400 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.400 * [taylor]: Taking taylor expansion of J in J 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.400 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.400 * [backup-simplify]: Simplify (- 0) into 0 3.400 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.400 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.400 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.400 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.400 * [taylor]: Taking taylor expansion of 1 in J 3.400 * [backup-simplify]: Simplify 1 into 1 3.401 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.401 * [taylor]: Taking taylor expansion of 1/4 in J 3.401 * [backup-simplify]: Simplify 1/4 into 1/4 3.401 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.401 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.401 * [taylor]: Taking taylor expansion of J in J 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.401 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.401 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.401 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.401 * [taylor]: Taking taylor expansion of -1/2 in J 3.401 * [backup-simplify]: Simplify -1/2 into -1/2 3.401 * [taylor]: Taking taylor expansion of K in J 3.401 * [backup-simplify]: Simplify K into K 3.401 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.401 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.401 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.401 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.401 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.402 * [backup-simplify]: Simplify (- 0) into 0 3.402 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.402 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.402 * [taylor]: Taking taylor expansion of U in J 3.402 * [backup-simplify]: Simplify U into U 3.402 * [backup-simplify]: Simplify (* 1 1) into 1 3.403 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.403 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.403 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.403 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.403 * [backup-simplify]: Simplify (+ 1 0) into 1 3.404 * [backup-simplify]: Simplify (sqrt 1) into 1 3.404 * [backup-simplify]: Simplify (+ 0 0) into 0 3.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.405 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.405 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.405 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 3.405 * [taylor]: Taking taylor expansion of 2 in K 3.405 * [backup-simplify]: Simplify 2 into 2 3.405 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.405 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.405 * [taylor]: Taking taylor expansion of -1/2 in K 3.405 * [backup-simplify]: Simplify -1/2 into -1/2 3.405 * [taylor]: Taking taylor expansion of K in K 3.405 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.406 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.406 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.406 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 3.406 * [taylor]: Taking taylor expansion of 2 in U 3.406 * [backup-simplify]: Simplify 2 into 2 3.406 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.406 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.406 * [taylor]: Taking taylor expansion of -1/2 in U 3.406 * [backup-simplify]: Simplify -1/2 into -1/2 3.406 * [taylor]: Taking taylor expansion of K in U 3.406 * [backup-simplify]: Simplify K into K 3.406 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.407 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.407 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.407 * [backup-simplify]: Simplify (+ 0) into 0 3.408 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.409 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.409 * [backup-simplify]: Simplify (- 0) into 0 3.410 * [backup-simplify]: Simplify (+ 0 0) into 0 3.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.412 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.412 * [taylor]: Taking taylor expansion of 0 in K 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [taylor]: Taking taylor expansion of 0 in U 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.412 * [taylor]: Taking taylor expansion of 0 in U 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.413 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.413 * [backup-simplify]: Simplify (- 0) into 0 3.413 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.413 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.413 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.414 * [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))) 3.414 * [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)))) 3.415 * [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))) 3.416 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.417 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.417 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.418 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.419 * [backup-simplify]: Simplify (- 0) into 0 3.419 * [backup-simplify]: Simplify (+ 0 0) into 0 3.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.421 * [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)))) 3.422 * [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)))) 3.422 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 3.422 * [taylor]: Taking taylor expansion of 1/4 in K 3.422 * [backup-simplify]: Simplify 1/4 into 1/4 3.422 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 3.422 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 3.422 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.422 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.422 * [taylor]: Taking taylor expansion of -1/2 in K 3.422 * [backup-simplify]: Simplify -1/2 into -1/2 3.422 * [taylor]: Taking taylor expansion of K in K 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.423 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.423 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.423 * [taylor]: Taking taylor expansion of U in K 3.423 * [backup-simplify]: Simplify U into U 3.423 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.423 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 3.423 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 3.423 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 3.423 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 3.423 * [taylor]: Taking taylor expansion of 1/4 in U 3.423 * [backup-simplify]: Simplify 1/4 into 1/4 3.423 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 3.424 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.424 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.424 * [taylor]: Taking taylor expansion of -1/2 in U 3.424 * [backup-simplify]: Simplify -1/2 into -1/2 3.424 * [taylor]: Taking taylor expansion of K in U 3.424 * [backup-simplify]: Simplify K into K 3.424 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.424 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.424 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.424 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.425 * [backup-simplify]: Simplify (- 0) into 0 3.425 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.425 * [backup-simplify]: Simplify (* 1 1) into 1 3.425 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.425 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.426 * [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 3.428 * [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 1)) into 0 3.430 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.430 * [backup-simplify]: Simplify 0 into 0 3.430 * [taylor]: Taking taylor expansion of 0 in U 3.430 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.431 * [taylor]: Taking taylor expansion of 0 in U 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (+ 0) into 0 3.432 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.432 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.433 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.434 * [backup-simplify]: Simplify (- 0) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.434 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.435 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.436 * [backup-simplify]: Simplify (+ 0) into 0 3.436 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.436 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.438 * [backup-simplify]: Simplify (- 0) into 0 3.438 * [backup-simplify]: Simplify (+ 0 0) into 0 3.438 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.439 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.439 * [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 3.440 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.440 * [backup-simplify]: Simplify (+ 0 0) into 0 3.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 3.442 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.443 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.445 * [backup-simplify]: Simplify (- 0) into 0 3.445 * [backup-simplify]: Simplify (+ 0 0) into 0 3.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.447 * [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 3.447 * [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 3.447 * [taylor]: Taking taylor expansion of 0 in K 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [taylor]: Taking taylor expansion of 0 in U 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.448 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 3.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 3.448 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 3.448 * [taylor]: Taking taylor expansion of 0 in U 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [taylor]: Taking taylor expansion of 0 in U 3.448 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.449 * [taylor]: Taking taylor expansion of 0 in U 3.449 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.451 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.451 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.452 * [backup-simplify]: Simplify (- 0) into 0 3.452 * [backup-simplify]: Simplify (+ 0 0) into 0 3.452 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.453 * [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 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.453 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.453 * [backup-simplify]: Simplify (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) into (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) 3.453 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in (U J K) around 0 3.453 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in K 3.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 3.453 * [taylor]: Taking taylor expansion of 1/2 in K 3.453 * [backup-simplify]: Simplify 1/2 into 1/2 3.453 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 3.453 * [taylor]: Taking taylor expansion of U in K 3.453 * [backup-simplify]: Simplify U into U 3.453 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 3.453 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.453 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.453 * [taylor]: Taking taylor expansion of 1/2 in K 3.453 * [backup-simplify]: Simplify 1/2 into 1/2 3.453 * [taylor]: Taking taylor expansion of K in K 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.454 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.454 * [taylor]: Taking taylor expansion of J in K 3.454 * [backup-simplify]: Simplify J into J 3.454 * [backup-simplify]: Simplify (* 1 J) into J 3.454 * [backup-simplify]: Simplify (/ U J) into (/ U J) 3.454 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 3.454 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in J 3.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 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 (/ U (* (cos (* 1/2 K)) J)) in J 3.454 * [taylor]: Taking taylor expansion of U in J 3.454 * [backup-simplify]: Simplify U into U 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)) 3.455 * [taylor]: Taking taylor expansion of J in J 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.455 * [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)) 0) into 0 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 (+ (* 1/2 0) (* 0 K)) into 0 3.456 * [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 3.457 * [backup-simplify]: Simplify (+ 0 0) into 0 3.457 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.457 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 3.457 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.457 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U 3.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.458 * [taylor]: Taking taylor expansion of 1/2 in U 3.458 * [backup-simplify]: Simplify 1/2 into 1/2 3.458 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.458 * [taylor]: Taking taylor expansion of U in U 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 1 into 1 3.458 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.458 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.458 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.458 * [taylor]: Taking taylor expansion of 1/2 in U 3.458 * [backup-simplify]: Simplify 1/2 into 1/2 3.458 * [taylor]: Taking taylor expansion of K in U 3.458 * [backup-simplify]: Simplify K into K 3.458 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.458 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.458 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.458 * [taylor]: Taking taylor expansion of J in U 3.458 * [backup-simplify]: Simplify J into J 3.458 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.458 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.458 * [backup-simplify]: Simplify (- 0) into 0 3.458 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.458 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.458 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.458 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 3.458 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U 3.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.459 * [taylor]: Taking taylor expansion of 1/2 in U 3.459 * [backup-simplify]: Simplify 1/2 into 1/2 3.459 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.459 * [taylor]: Taking taylor expansion of U in U 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.459 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.459 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.459 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.459 * [taylor]: Taking taylor expansion of 1/2 in U 3.459 * [backup-simplify]: Simplify 1/2 into 1/2 3.459 * [taylor]: Taking taylor expansion of K in U 3.459 * [backup-simplify]: Simplify K into K 3.459 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.459 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.459 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.459 * [taylor]: Taking taylor expansion of J in U 3.459 * [backup-simplify]: Simplify J into J 3.459 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.459 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.459 * [backup-simplify]: Simplify (- 0) into 0 3.459 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.459 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.459 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.459 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 3.460 * [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))) 3.460 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.460 * [taylor]: Taking taylor expansion of 1/4 in J 3.460 * [backup-simplify]: Simplify 1/4 into 1/4 3.460 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.460 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.460 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.460 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.460 * [taylor]: Taking taylor expansion of 1/2 in J 3.460 * [backup-simplify]: Simplify 1/2 into 1/2 3.460 * [taylor]: Taking taylor expansion of K in J 3.460 * [backup-simplify]: Simplify K into K 3.460 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.460 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.460 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.460 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.460 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.460 * [backup-simplify]: Simplify (- 0) into 0 3.460 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.460 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.460 * [taylor]: Taking taylor expansion of J in J 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.461 * [backup-simplify]: Simplify (* 1 1) into 1 3.461 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.461 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 3.461 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 3.461 * [taylor]: Taking taylor expansion of 1/4 in K 3.461 * [backup-simplify]: Simplify 1/4 into 1/4 3.461 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.461 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.461 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.461 * [taylor]: Taking taylor expansion of 1/2 in K 3.461 * [backup-simplify]: Simplify 1/2 into 1/2 3.461 * [taylor]: Taking taylor expansion of K in K 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 1 into 1 3.461 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.462 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.462 * [backup-simplify]: Simplify (* 1 1) into 1 3.462 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 3.462 * [backup-simplify]: Simplify 1/4 into 1/4 3.463 * [backup-simplify]: Simplify (+ 0) into 0 3.463 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.464 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.464 * [backup-simplify]: Simplify (- 0) into 0 3.464 * [backup-simplify]: Simplify (+ 0 0) into 0 3.464 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 3.465 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 3.465 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 3.465 * [taylor]: Taking taylor expansion of 0 in J 3.465 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.466 * [backup-simplify]: Simplify (+ 0) into 0 3.466 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.467 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.467 * [backup-simplify]: Simplify (- 0) into 0 3.468 * [backup-simplify]: Simplify (+ 0 0) into 0 3.468 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.468 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.468 * [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 3.468 * [taylor]: Taking taylor expansion of 0 in K 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify (+ 0) into 0 3.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 3.469 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.472 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.473 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.473 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.474 * [backup-simplify]: Simplify (- 0) into 0 3.474 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 3.475 * [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 3.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 3.476 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0 3.476 * [taylor]: Taking taylor expansion of 0 in J 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.477 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.477 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.478 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.478 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.479 * [backup-simplify]: Simplify (- 0) into 0 3.479 * [backup-simplify]: Simplify (+ 0 0) into 0 3.479 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 3.480 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.480 * [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 3.480 * [taylor]: Taking taylor expansion of 0 in K 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 3.481 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 3.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 3.482 * [backup-simplify]: Simplify 1/16 into 1/16 3.483 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.483 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.485 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.485 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.485 * [backup-simplify]: Simplify (- 0) into 0 3.486 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.487 * [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 3.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 3.488 * [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 3.488 * [taylor]: Taking taylor expansion of 0 in J 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [taylor]: Taking taylor expansion of 0 in K 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.490 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.491 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.492 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.492 * [backup-simplify]: Simplify (- 0) into 0 3.492 * [backup-simplify]: Simplify (+ 0 0) into 0 3.493 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 3.493 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.494 * [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 3.494 * [taylor]: Taking taylor expansion of 0 in K 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.495 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.500 * [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 3.501 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 3.504 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.504 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.505 * [backup-simplify]: Simplify (- 0) into 0 3.505 * [backup-simplify]: Simplify (+ 0 0) into 0 3.506 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 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))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))))) into 0 3.510 * [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 3.510 * [taylor]: Taking taylor expansion of 0 in J 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [taylor]: Taking taylor expansion of 0 in K 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 0 into 0 3.511 * [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)))) 3.511 * [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) 3.511 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in (U J K) around 0 3.511 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in K 3.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 3.511 * [taylor]: Taking taylor expansion of 1/2 in K 3.511 * [backup-simplify]: Simplify 1/2 into 1/2 3.511 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 3.511 * [taylor]: Taking taylor expansion of J in K 3.511 * [backup-simplify]: Simplify J into J 3.511 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 3.511 * [taylor]: Taking taylor expansion of U in K 3.511 * [backup-simplify]: Simplify U into U 3.511 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.511 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.511 * [taylor]: Taking taylor expansion of 1/2 in K 3.511 * [backup-simplify]: Simplify 1/2 into 1/2 3.511 * [taylor]: Taking taylor expansion of K in K 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.512 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.512 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.512 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 3.512 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 3.512 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in J 3.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 3.512 * [taylor]: Taking taylor expansion of 1/2 in J 3.512 * [backup-simplify]: Simplify 1/2 into 1/2 3.513 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 3.513 * [taylor]: Taking taylor expansion of J in J 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 3.513 * [taylor]: Taking taylor expansion of U in J 3.513 * [backup-simplify]: Simplify U into U 3.513 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.513 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.513 * [taylor]: Taking taylor expansion of 1/2 in J 3.513 * [backup-simplify]: Simplify 1/2 into 1/2 3.513 * [taylor]: Taking taylor expansion of K in J 3.513 * [backup-simplify]: Simplify K into K 3.513 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.513 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.513 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.513 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.513 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.514 * [backup-simplify]: Simplify (- 0) into 0 3.514 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.514 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.514 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 3.514 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* U (cos (/ 1/2 K))))) into (/ 1/2 (* U (cos (/ 1/2 K)))) 3.514 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U 3.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.514 * [taylor]: Taking taylor expansion of 1/2 in U 3.514 * [backup-simplify]: Simplify 1/2 into 1/2 3.514 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.514 * [taylor]: Taking taylor expansion of J in U 3.514 * [backup-simplify]: Simplify J into J 3.514 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.514 * [taylor]: Taking taylor expansion of U in U 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.514 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.514 * [taylor]: Taking taylor expansion of 1/2 in U 3.514 * [backup-simplify]: Simplify 1/2 into 1/2 3.514 * [taylor]: Taking taylor expansion of K in U 3.515 * [backup-simplify]: Simplify K into K 3.515 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.515 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.515 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.515 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.515 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.515 * [backup-simplify]: Simplify (- 0) into 0 3.515 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.515 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.516 * [backup-simplify]: Simplify (+ 0) into 0 3.516 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.516 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.517 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.518 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.518 * [backup-simplify]: Simplify (- 0) into 0 3.518 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.519 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.519 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.519 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U 3.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.519 * [taylor]: Taking taylor expansion of 1/2 in U 3.519 * [backup-simplify]: Simplify 1/2 into 1/2 3.519 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.519 * [taylor]: Taking taylor expansion of J in U 3.519 * [backup-simplify]: Simplify J into J 3.519 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.519 * [taylor]: Taking taylor expansion of U in U 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.519 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.519 * [taylor]: Taking taylor expansion of 1/2 in U 3.519 * [backup-simplify]: Simplify 1/2 into 1/2 3.519 * [taylor]: Taking taylor expansion of K in U 3.519 * [backup-simplify]: Simplify K into K 3.519 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.520 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.520 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.520 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.520 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.520 * [backup-simplify]: Simplify (- 0) into 0 3.520 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.520 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.521 * [backup-simplify]: Simplify (+ 0) into 0 3.521 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.521 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.523 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.523 * [backup-simplify]: Simplify (- 0) into 0 3.523 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.524 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.524 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.524 * [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))) 3.524 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 3.524 * [taylor]: Taking taylor expansion of 1/4 in J 3.524 * [backup-simplify]: Simplify 1/4 into 1/4 3.524 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 3.524 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.524 * [taylor]: Taking taylor expansion of J in J 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.524 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.524 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.524 * [taylor]: Taking taylor expansion of 1/2 in J 3.524 * [backup-simplify]: Simplify 1/2 into 1/2 3.525 * [taylor]: Taking taylor expansion of K in J 3.525 * [backup-simplify]: Simplify K into K 3.525 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.525 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.525 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.525 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.525 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.525 * [backup-simplify]: Simplify (- 0) into 0 3.525 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.525 * [backup-simplify]: Simplify (* 1 1) into 1 3.525 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.525 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 3.526 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.526 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 3.526 * [taylor]: Taking taylor expansion of 1/4 in K 3.526 * [backup-simplify]: Simplify 1/4 into 1/4 3.526 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.526 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.526 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.526 * [taylor]: Taking taylor expansion of 1/2 in K 3.526 * [backup-simplify]: Simplify 1/2 into 1/2 3.526 * [taylor]: Taking taylor expansion of K in K 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.526 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.526 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.526 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.526 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.527 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.527 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.528 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.528 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.528 * [backup-simplify]: Simplify (- 0) into 0 3.529 * [backup-simplify]: Simplify (+ 0 0) into 0 3.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 3.529 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 3.530 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 3.530 * [taylor]: Taking taylor expansion of 0 in J 3.530 * [backup-simplify]: Simplify 0 into 0 3.530 * [taylor]: Taking taylor expansion of 0 in K 3.530 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.531 * [backup-simplify]: Simplify (+ 0) into 0 3.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.531 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.532 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.532 * [backup-simplify]: Simplify (- 0) into 0 3.532 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.533 * [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 3.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 3.533 * [taylor]: Taking taylor expansion of 0 in K 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.533 * [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 3.533 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.534 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.536 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.536 * [backup-simplify]: Simplify (- 0) into 0 3.536 * [backup-simplify]: Simplify (+ 0 0) into 0 3.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.537 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 3.538 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) 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 3.538 * [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 0) (+ (* 0 0) (* 0 1))) into 0 3.539 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.540 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.540 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.540 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.541 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.541 * [backup-simplify]: Simplify (- 0) into 0 3.541 * [backup-simplify]: Simplify (+ 0 0) into 0 3.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.542 * [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 3.542 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 3.542 * [taylor]: Taking taylor expansion of 0 in K 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.543 * [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)))) 3.543 * [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) 3.543 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in (U J K) around 0 3.543 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in K 3.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 3.543 * [taylor]: Taking taylor expansion of 1/2 in K 3.543 * [backup-simplify]: Simplify 1/2 into 1/2 3.543 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 3.543 * [taylor]: Taking taylor expansion of J in K 3.543 * [backup-simplify]: Simplify J into J 3.543 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 3.543 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.543 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.543 * [taylor]: Taking taylor expansion of -1/2 in K 3.543 * [backup-simplify]: Simplify -1/2 into -1/2 3.543 * [taylor]: Taking taylor expansion of K in K 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 1 into 1 3.543 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.543 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.543 * [taylor]: Taking taylor expansion of U in K 3.543 * [backup-simplify]: Simplify U into U 3.543 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.544 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 3.544 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 3.544 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in J 3.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 3.544 * [taylor]: Taking taylor expansion of 1/2 in J 3.544 * [backup-simplify]: Simplify 1/2 into 1/2 3.544 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 3.544 * [taylor]: Taking taylor expansion of J in J 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)) U) in J 3.544 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.544 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.544 * [taylor]: Taking taylor expansion of -1/2 in J 3.544 * [backup-simplify]: Simplify -1/2 into -1/2 3.544 * [taylor]: Taking taylor expansion of K in J 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 * [taylor]: Taking taylor expansion of U in J 3.544 * [backup-simplify]: Simplify U into U 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 3.544 * [backup-simplify]: Simplify (- 0) into 0 3.544 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.545 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.545 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 3.545 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (/ -1/2 K)) U))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) 3.545 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U 3.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.545 * [taylor]: Taking taylor expansion of 1/2 in U 3.545 * [backup-simplify]: Simplify 1/2 into 1/2 3.545 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.545 * [taylor]: Taking taylor expansion of J in U 3.545 * [backup-simplify]: Simplify J into J 3.545 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.545 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.545 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.545 * [taylor]: Taking taylor expansion of -1/2 in U 3.545 * [backup-simplify]: Simplify -1/2 into -1/2 3.545 * [taylor]: Taking taylor expansion of K in U 3.545 * [backup-simplify]: Simplify K into K 3.545 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.545 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.545 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.545 * [taylor]: Taking taylor expansion of U in U 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 1 into 1 3.545 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.545 * [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)) 3.546 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.546 * [backup-simplify]: Simplify (+ 0) into 0 3.546 * [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 3.547 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.547 * [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 3.548 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.548 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.548 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.548 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U 3.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.548 * [taylor]: Taking taylor expansion of 1/2 in U 3.548 * [backup-simplify]: Simplify 1/2 into 1/2 3.548 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.548 * [taylor]: Taking taylor expansion of J in U 3.548 * [backup-simplify]: Simplify J into J 3.548 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.548 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.548 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.548 * [taylor]: Taking taylor expansion of -1/2 in U 3.548 * [backup-simplify]: Simplify -1/2 into -1/2 3.548 * [taylor]: Taking taylor expansion of K in U 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 * [taylor]: Taking taylor expansion of U in U 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 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 3.549 * [backup-simplify]: Simplify (- 0) into 0 3.549 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.549 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.549 * [backup-simplify]: Simplify (+ 0) into 0 3.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.549 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.550 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.550 * [backup-simplify]: Simplify (- 0) into 0 3.551 * [backup-simplify]: Simplify (+ 0 0) into 0 3.551 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.551 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.551 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.551 * [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))) 3.551 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 3.551 * [taylor]: Taking taylor expansion of 1/4 in J 3.551 * [backup-simplify]: Simplify 1/4 into 1/4 3.551 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 3.551 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.551 * [taylor]: Taking taylor expansion of J in J 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify 1 into 1 3.551 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.551 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.551 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.551 * [taylor]: Taking taylor expansion of -1/2 in J 3.551 * [backup-simplify]: Simplify -1/2 into -1/2 3.551 * [taylor]: Taking taylor expansion of K in J 3.552 * [backup-simplify]: Simplify K into K 3.552 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.552 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.552 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.552 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.552 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.552 * [backup-simplify]: Simplify (- 0) into 0 3.552 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.552 * [backup-simplify]: Simplify (* 1 1) into 1 3.553 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.553 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 3.553 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.553 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 3.553 * [taylor]: Taking taylor expansion of 1/4 in K 3.553 * [backup-simplify]: Simplify 1/4 into 1/4 3.553 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.553 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.553 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.553 * [taylor]: Taking taylor expansion of -1/2 in K 3.553 * [backup-simplify]: Simplify -1/2 into -1/2 3.553 * [taylor]: Taking taylor expansion of K in K 3.553 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify 1 into 1 3.554 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.554 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.554 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.554 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.554 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.556 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.557 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.557 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.558 * [backup-simplify]: Simplify (- 0) into 0 3.558 * [backup-simplify]: Simplify (+ 0 0) into 0 3.559 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.559 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 3.560 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 3.560 * [taylor]: Taking taylor expansion of 0 in J 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [taylor]: Taking taylor expansion of 0 in K 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.561 * [backup-simplify]: Simplify (+ 0) into 0 3.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.562 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.563 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.563 * [backup-simplify]: Simplify (- 0) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.564 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.564 * [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 3.565 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 3.565 * [taylor]: Taking taylor expansion of 0 in K 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.566 * [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 3.566 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.567 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.568 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.569 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.570 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.570 * [backup-simplify]: Simplify (- 0) into 0 3.571 * [backup-simplify]: Simplify (+ 0 0) into 0 3.571 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.572 * [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 3.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 3.573 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 3.573 * [taylor]: Taking taylor expansion of 0 in J 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [taylor]: Taking taylor expansion of 0 in K 3.573 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [taylor]: Taking taylor expansion of 0 in K 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.576 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.576 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.577 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.578 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.578 * [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 0) (* 0 (cos (/ -1/2 K))))) into 0 3.580 * [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 3.583 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 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 (* (/ 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)))) 3.584 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.584 * [backup-simplify]: Simplify (* (* -2 J) (cos (/ K 2))) into (* -2 (* (cos (* 1/2 K)) J)) 3.584 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (J K) around 0 3.584 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 3.584 * [taylor]: Taking taylor expansion of -2 in K 3.584 * [backup-simplify]: Simplify -2 into -2 3.584 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 3.584 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.584 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.584 * [taylor]: Taking taylor expansion of 1/2 in K 3.584 * [backup-simplify]: Simplify 1/2 into 1/2 3.584 * [taylor]: Taking taylor expansion of K in K 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.585 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.585 * [taylor]: Taking taylor expansion of J in K 3.585 * [backup-simplify]: Simplify J into J 3.585 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 3.585 * [taylor]: Taking taylor expansion of -2 in J 3.585 * [backup-simplify]: Simplify -2 into -2 3.585 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.585 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.585 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.585 * [taylor]: Taking taylor expansion of 1/2 in J 3.585 * [backup-simplify]: Simplify 1/2 into 1/2 3.585 * [taylor]: Taking taylor expansion of K in J 3.586 * [backup-simplify]: Simplify K into K 3.586 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.586 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.586 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.586 * [taylor]: Taking taylor expansion of J in J 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 3.586 * [taylor]: Taking taylor expansion of -2 in J 3.586 * [backup-simplify]: Simplify -2 into -2 3.586 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.586 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.586 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.586 * [taylor]: Taking taylor expansion of 1/2 in J 3.586 * [backup-simplify]: Simplify 1/2 into 1/2 3.586 * [taylor]: Taking taylor expansion of K in J 3.586 * [backup-simplify]: Simplify K into K 3.586 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.586 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.586 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.586 * [taylor]: Taking taylor expansion of J in J 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.587 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.587 * [backup-simplify]: Simplify (- 0) into 0 3.587 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.587 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.588 * [backup-simplify]: Simplify (* -2 0) into 0 3.588 * [taylor]: Taking taylor expansion of 0 in K 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify (+ 0) into 0 3.589 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.590 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.591 * [backup-simplify]: Simplify (- 0) into 0 3.591 * [backup-simplify]: Simplify (+ 0 0) into 0 3.591 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.592 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 3.592 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 3.592 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 3.592 * [taylor]: Taking taylor expansion of 2 in K 3.592 * [backup-simplify]: Simplify 2 into 2 3.592 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.592 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.592 * [taylor]: Taking taylor expansion of 1/2 in K 3.592 * [backup-simplify]: Simplify 1/2 into 1/2 3.592 * [taylor]: Taking taylor expansion of K in K 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.593 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.593 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.594 * [backup-simplify]: Simplify (* 2 1) into 2 3.594 * [backup-simplify]: Simplify (- 2) into -2 3.594 * [backup-simplify]: Simplify -2 into -2 3.594 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.596 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.598 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.598 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.599 * [backup-simplify]: Simplify (- 0) into 0 3.599 * [backup-simplify]: Simplify (+ 0 0) into 0 3.600 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.601 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 3.601 * [taylor]: Taking taylor expansion of 0 in K 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify (+ 0) into 0 3.602 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.602 * [backup-simplify]: Simplify (- 0) into 0 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.604 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.608 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.608 * [backup-simplify]: Simplify (- 0) into 0 3.609 * [backup-simplify]: Simplify (+ 0 0) into 0 3.609 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.611 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 3.611 * [taylor]: Taking taylor expansion of 0 in K 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (* -2 (* 1 J)) into (* -2 J) 3.611 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) into (* -2 (/ (cos (/ 1/2 K)) J)) 3.611 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 3.611 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 3.611 * [taylor]: Taking taylor expansion of -2 in K 3.611 * [backup-simplify]: Simplify -2 into -2 3.611 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 3.611 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.611 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.611 * [taylor]: Taking taylor expansion of 1/2 in K 3.611 * [backup-simplify]: Simplify 1/2 into 1/2 3.611 * [taylor]: Taking taylor expansion of K in K 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 1 into 1 3.612 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.612 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.612 * [taylor]: Taking taylor expansion of J in K 3.612 * [backup-simplify]: Simplify J into J 3.612 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.612 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 3.612 * [taylor]: Taking taylor expansion of -2 in J 3.612 * [backup-simplify]: Simplify -2 into -2 3.612 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.612 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.612 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.612 * [taylor]: Taking taylor expansion of 1/2 in J 3.612 * [backup-simplify]: Simplify 1/2 into 1/2 3.612 * [taylor]: Taking taylor expansion of K in J 3.612 * [backup-simplify]: Simplify K into K 3.612 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.612 * [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)) 3.613 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 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 3.614 * [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 3.615 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.615 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.615 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.615 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 3.615 * [taylor]: Taking taylor expansion of -2 in K 3.615 * [backup-simplify]: Simplify -2 into -2 3.615 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.615 * [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 3.616 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.616 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.616 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.616 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.616 * [backup-simplify]: Simplify (+ 0) into 0 3.617 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.618 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.619 * [backup-simplify]: Simplify (- 0) into 0 3.619 * [backup-simplify]: Simplify (+ 0 0) into 0 3.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.620 * [taylor]: Taking taylor expansion of 0 in K 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.621 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.623 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.623 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.624 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.624 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.625 * [backup-simplify]: Simplify (- 0) into 0 3.625 * [backup-simplify]: Simplify (+ 0 0) into 0 3.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.627 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.627 * [taylor]: Taking taylor expansion of 0 in K 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.628 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.630 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.630 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.632 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.633 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.633 * [backup-simplify]: Simplify (- 0) into 0 3.633 * [backup-simplify]: Simplify (+ 0 0) into 0 3.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.637 * [taylor]: Taking taylor expansion of 0 in K 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* -2 (* (cos (* 1/2 K)) J)) 3.637 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) into (* 2 (/ (cos (/ -1/2 K)) J)) 3.637 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 3.637 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 3.637 * [taylor]: Taking taylor expansion of 2 in K 3.637 * [backup-simplify]: Simplify 2 into 2 3.637 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 3.637 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.637 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.638 * [taylor]: Taking taylor expansion of -1/2 in K 3.638 * [backup-simplify]: Simplify -1/2 into -1/2 3.638 * [taylor]: Taking taylor expansion of K in K 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.638 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.638 * [taylor]: Taking taylor expansion of J in K 3.638 * [backup-simplify]: Simplify J into J 3.638 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.638 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 3.638 * [taylor]: Taking taylor expansion of 2 in J 3.638 * [backup-simplify]: Simplify 2 into 2 3.638 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.638 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.638 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.639 * [taylor]: Taking taylor expansion of -1/2 in J 3.639 * [backup-simplify]: Simplify -1/2 into -1/2 3.639 * [taylor]: Taking taylor expansion of K in J 3.639 * [backup-simplify]: Simplify K into K 3.639 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.639 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.639 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.639 * [taylor]: Taking taylor expansion of J in J 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.639 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.639 * [backup-simplify]: Simplify (- 0) into 0 3.640 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.640 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.640 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 3.640 * [taylor]: Taking taylor expansion of 2 in J 3.640 * [backup-simplify]: Simplify 2 into 2 3.640 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.640 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.640 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.640 * [taylor]: Taking taylor expansion of -1/2 in J 3.640 * [backup-simplify]: Simplify -1/2 into -1/2 3.640 * [taylor]: Taking taylor expansion of K in J 3.640 * [backup-simplify]: Simplify K into K 3.640 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.640 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.640 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.640 * [taylor]: Taking taylor expansion of J in J 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 1 into 1 3.640 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.640 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.641 * [backup-simplify]: Simplify (- 0) into 0 3.641 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.641 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.641 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.641 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 3.641 * [taylor]: Taking taylor expansion of 2 in K 3.641 * [backup-simplify]: Simplify 2 into 2 3.641 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.642 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.642 * [taylor]: Taking taylor expansion of -1/2 in K 3.642 * [backup-simplify]: Simplify -1/2 into -1/2 3.642 * [taylor]: Taking taylor expansion of K in K 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.642 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.642 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.642 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.643 * [backup-simplify]: Simplify (+ 0) into 0 3.643 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.645 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.645 * [backup-simplify]: Simplify (- 0) into 0 3.645 * [backup-simplify]: Simplify (+ 0 0) into 0 3.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.647 * [taylor]: Taking taylor expansion of 0 in K 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.649 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.649 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.650 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.651 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.651 * [backup-simplify]: Simplify (- 0) into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.654 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.654 * [taylor]: Taking taylor expansion of 0 in K 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.655 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.657 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.657 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.659 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.660 * [backup-simplify]: Simplify (- 0) into 0 3.660 * [backup-simplify]: Simplify (+ 0 0) into 0 3.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.663 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.663 * [taylor]: Taking taylor expansion of 0 in K 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.664 * * * [progress]: simplifying candidates 3.664 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 3.664 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 3.664 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 3.664 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 3.664 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 3.664 * * * * [progress]: [ 6 / 102 ] simplifiying candidate # 3.664 * * * * [progress]: [ 7 / 102 ] simplifiying candidate # 3.664 * * * * [progress]: [ 8 / 102 ] simplifiying candidate # 3.664 * * * * [progress]: [ 9 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 10 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 11 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 12 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 13 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 14 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 15 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 16 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 17 / 102 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.665 * * * * [progress]: [ 18 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 19 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 20 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 21 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 22 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 23 / 102 ] simplifiying candidate # 3.665 * * * * [progress]: [ 24 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 25 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 26 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 27 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 28 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 29 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 30 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 31 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 32 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 33 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 34 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 35 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 36 / 102 ] simplifiying candidate # 3.666 * * * * [progress]: [ 37 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 38 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 44 / 102 ] simplifiying candidate #real (real->posit16 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.667 * * * * [progress]: [ 45 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 47 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 49 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 50 / 102 ] simplifiying candidate # 3.667 * * * * [progress]: [ 51 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 52 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 53 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 54 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 55 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 56 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 57 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 58 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 59 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 60 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 61 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 62 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 63 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 64 / 102 ] simplifiying candidate # 3.668 * * * * [progress]: [ 65 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 66 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 67 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 68 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 69 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 70 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 71 / 102 ] simplifiying candidate #real (real->posit16 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.669 * * * * [progress]: [ 72 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 73 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 74 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 75 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 76 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 77 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 78 / 102 ] simplifiying candidate # 3.669 * * * * [progress]: [ 79 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 80 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 81 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 82 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 89 / 102 ] simplifiying candidate #real (real->posit16 (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> 3.670 * * * * [progress]: [ 90 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 93 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 3.670 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 3.671 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 3.671 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 3.671 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 3.671 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 3.671 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 3.671 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 3.671 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 3.673 * [simplify]: Simplifying: (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)))) (* (* (* -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 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)))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 0 (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) (* 1/4 (/ (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)) 3.676 * * [simplify]: iteration 0: 179 enodes 3.738 * * [simplify]: iteration 1: 482 enodes 3.938 * * [simplify]: iteration 2: 1535 enodes 4.648 * * [simplify]: iteration complete: 5000 enodes 4.648 * * [simplify]: Extracting #0: cost 70 inf + 0 4.651 * * [simplify]: Extracting #1: cost 784 inf + 4 4.660 * * [simplify]: Extracting #2: cost 1633 inf + 2872 4.675 * * [simplify]: Extracting #3: cost 1668 inf + 19231 4.696 * * [simplify]: Extracting #4: cost 1476 inf + 39489 4.727 * * [simplify]: Extracting #5: cost 1392 inf + 55962 4.781 * * [simplify]: Extracting #6: cost 851 inf + 204836 4.888 * * [simplify]: Extracting #7: cost 505 inf + 333118 5.037 * * [simplify]: Extracting #8: cost 188 inf + 489357 5.240 * * [simplify]: Extracting #9: cost 0 inf + 589891 5.428 * [simplify]: Simplified to: (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) 1 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) 1 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (sqrt (+ 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (sqrt (+ (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (- 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1/2 (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))) (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))) (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))) (log (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (log (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (log (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (log (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (exp (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (cos (/ K 2)) (* (* -8 (* J J)) J)) (* (cos (/ K 2)) (cos (/ K 2))))) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cbrt (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (cbrt (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))))) (cbrt (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (sqrt (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (sqrt (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (* (* (* J -2) (cos (/ K 2))) (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) (* (* (* J -2) (cos (/ K 2))) (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (* (* J -2) (cos (/ K 2))) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (* (sqrt (- 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (* J -2) (cos (/ K 2)))) (real->posit16 (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) 2 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (* (cbrt 2) (cbrt 2))) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt 2)) (/ (/ U (* 2 J)) (cos (/ K 2))) (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (/ (* (cbrt U) (cbrt U)) (* J 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 (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* U U) (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2)))) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) (exp (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fabs (/ (/ U (* 2 J)) (cos (/ K 2)))) (fabs (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))) (real->posit16 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* 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)))) (* (* (cos (/ K 2)) (* (* -8 (* J J)) J)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (cbrt (* (* J -2) (cos (/ K 2)))) (cbrt (* (* J -2) (cos (/ K 2))))) (cbrt (* (* J -2) (cos (/ K 2)))) (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (* J -2) (cos (/ K 2)))) (sqrt (* (* J -2) (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* (* J -2) (cbrt (cos (/ K 2))))) (* -2 (* J (sqrt (cos (/ K 2))))) (* J -2) (* J (cos (/ K 2))) (real->posit16 (* (* J -2) (cos (/ K 2)))) 1 (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2) 0 (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (+ (* (* (/ U J) (/ U J)) 1/4) (* 1/16 (* (* (* (/ K J) (/ K J)) U) U))) (* (/ (* (/ U J) (/ U J)) (cos (/ K 2))) (/ 1/4 (cos (/ K 2)))) (* (/ (* (/ U J) (/ U J)) (cos (/ K 2))) (/ 1/4 (cos (/ K 2)))) (* J -2) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) 5.438 * * * [progress]: adding candidates to table 5.995 * * [progress]: iteration 2 / 4 5.995 * * * [progress]: picking best candidate 6.053 * * * * [pick]: Picked # 6.053 * * * [progress]: localizing error 6.137 * * * [progress]: generating rewritten candidates 6.137 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 6.217 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 6.284 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.341 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 6.399 * * * [progress]: generating series expansions 6.399 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 6.400 * [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)) 6.400 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 6.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.400 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.400 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.400 * [taylor]: Taking taylor expansion of 1/4 in K 6.400 * [backup-simplify]: Simplify 1/4 into 1/4 6.400 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.400 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.400 * [taylor]: Taking taylor expansion of U in K 6.400 * [backup-simplify]: Simplify U into U 6.400 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.400 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.400 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.400 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.400 * [taylor]: Taking taylor expansion of 1/2 in K 6.400 * [backup-simplify]: Simplify 1/2 into 1/2 6.400 * [taylor]: Taking taylor expansion of K in K 6.400 * [backup-simplify]: Simplify 0 into 0 6.400 * [backup-simplify]: Simplify 1 into 1 6.401 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.401 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.401 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.401 * [taylor]: Taking taylor expansion of J in K 6.401 * [backup-simplify]: Simplify J into J 6.401 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.401 * [backup-simplify]: Simplify (* 1 1) into 1 6.401 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.401 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.402 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.402 * [taylor]: Taking taylor expansion of 1 in K 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.402 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.402 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.402 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.402 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.402 * [backup-simplify]: Simplify (+ 0) into 0 6.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.403 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 6.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 6.404 * [backup-simplify]: Simplify (+ 0 0) into 0 6.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.404 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.404 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.404 * [taylor]: Taking taylor expansion of 1/4 in J 6.404 * [backup-simplify]: Simplify 1/4 into 1/4 6.404 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.404 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.404 * [taylor]: Taking taylor expansion of U in J 6.404 * [backup-simplify]: Simplify U into U 6.404 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.404 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.404 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.404 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.404 * [taylor]: Taking taylor expansion of 1/2 in J 6.404 * [backup-simplify]: Simplify 1/2 into 1/2 6.404 * [taylor]: Taking taylor expansion of K in J 6.404 * [backup-simplify]: Simplify K into K 6.404 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.404 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.404 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.404 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.405 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.405 * [backup-simplify]: Simplify (- 0) into 0 6.405 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.405 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.405 * [taylor]: Taking taylor expansion of J in J 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify 1 into 1 6.405 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.405 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.405 * [backup-simplify]: Simplify (* 1 1) into 1 6.405 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.405 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.405 * [taylor]: Taking taylor expansion of 1 in J 6.405 * [backup-simplify]: Simplify 1 into 1 6.406 * [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))) 6.406 * [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))) 6.406 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.406 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.407 * [backup-simplify]: Simplify (+ 0) into 0 6.407 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.408 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.408 * [backup-simplify]: Simplify (- 0) into 0 6.409 * [backup-simplify]: Simplify (+ 0 0) into 0 6.409 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.409 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.409 * [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 6.410 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.410 * [backup-simplify]: Simplify (+ 0 0) into 0 6.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.410 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.410 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.410 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.410 * [taylor]: Taking taylor expansion of 1/4 in U 6.410 * [backup-simplify]: Simplify 1/4 into 1/4 6.410 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.410 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.410 * [taylor]: Taking taylor expansion of U in U 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 1 into 1 6.410 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.410 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.410 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.410 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.410 * [taylor]: Taking taylor expansion of 1/2 in U 6.410 * [backup-simplify]: Simplify 1/2 into 1/2 6.410 * [taylor]: Taking taylor expansion of K in U 6.410 * [backup-simplify]: Simplify K into K 6.410 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.410 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.410 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.411 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.411 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.411 * [backup-simplify]: Simplify (- 0) into 0 6.411 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.411 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.411 * [taylor]: Taking taylor expansion of J in U 6.411 * [backup-simplify]: Simplify J into J 6.411 * [backup-simplify]: Simplify (* 1 1) into 1 6.411 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.411 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.411 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.411 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.412 * [taylor]: Taking taylor expansion of 1 in U 6.412 * [backup-simplify]: Simplify 1 into 1 6.412 * [backup-simplify]: Simplify (+ 0 1) into 1 6.412 * [backup-simplify]: Simplify (sqrt 1) into 1 6.412 * [backup-simplify]: Simplify (+ 0 0) into 0 6.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.413 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.413 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.413 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.413 * [taylor]: Taking taylor expansion of 1/4 in U 6.413 * [backup-simplify]: Simplify 1/4 into 1/4 6.413 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.413 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.413 * [taylor]: Taking taylor expansion of U in U 6.413 * [backup-simplify]: Simplify 0 into 0 6.413 * [backup-simplify]: Simplify 1 into 1 6.413 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.413 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.413 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.413 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.413 * [taylor]: Taking taylor expansion of 1/2 in U 6.413 * [backup-simplify]: Simplify 1/2 into 1/2 6.413 * [taylor]: Taking taylor expansion of K in U 6.413 * [backup-simplify]: Simplify K into K 6.413 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.413 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.413 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.413 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.413 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.414 * [backup-simplify]: Simplify (- 0) into 0 6.414 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.414 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.414 * [taylor]: Taking taylor expansion of J in U 6.414 * [backup-simplify]: Simplify J into J 6.414 * [backup-simplify]: Simplify (* 1 1) into 1 6.414 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.414 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.414 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.414 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.414 * [taylor]: Taking taylor expansion of 1 in U 6.414 * [backup-simplify]: Simplify 1 into 1 6.415 * [backup-simplify]: Simplify (+ 0 1) into 1 6.415 * [backup-simplify]: Simplify (sqrt 1) into 1 6.415 * [backup-simplify]: Simplify (+ 0 0) into 0 6.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.416 * [taylor]: Taking taylor expansion of 1 in J 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [taylor]: Taking taylor expansion of 0 in J 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [taylor]: Taking taylor expansion of 1 in K 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.416 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.417 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.417 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.417 * [taylor]: Taking taylor expansion of 1/8 in J 6.417 * [backup-simplify]: Simplify 1/8 into 1/8 6.417 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.417 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.417 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.417 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.417 * [taylor]: Taking taylor expansion of 1/2 in J 6.417 * [backup-simplify]: Simplify 1/2 into 1/2 6.417 * [taylor]: Taking taylor expansion of K in J 6.417 * [backup-simplify]: Simplify K into K 6.417 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.417 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.417 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.417 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.418 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.418 * [backup-simplify]: Simplify (- 0) into 0 6.418 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.418 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.418 * [taylor]: Taking taylor expansion of J in J 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 1 into 1 6.418 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.418 * [backup-simplify]: Simplify (* 1 1) into 1 6.418 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.418 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 6.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.419 * [backup-simplify]: Simplify (+ 0) into 0 6.419 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.420 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.421 * [backup-simplify]: Simplify (- 0) into 0 6.421 * [backup-simplify]: Simplify (+ 0 0) into 0 6.421 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.421 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.422 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.422 * [taylor]: Taking taylor expansion of 0 in K 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [taylor]: Taking taylor expansion of 0 in K 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [taylor]: Taking taylor expansion of 0 in K 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.422 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.423 * [backup-simplify]: Simplify (+ 0) into 0 6.423 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.424 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.424 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.424 * [backup-simplify]: Simplify (- 0) into 0 6.425 * [backup-simplify]: Simplify (+ 0 0) into 0 6.425 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.425 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.425 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.426 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.426 * [backup-simplify]: Simplify (+ 0 0) into 0 6.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 6.427 * [taylor]: Taking taylor expansion of 0 in J 6.427 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.428 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.428 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.430 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.430 * [backup-simplify]: Simplify (- 0) into 0 6.431 * [backup-simplify]: Simplify (+ 0 0) into 0 6.432 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.432 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.433 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.433 * [taylor]: Taking taylor expansion of 0 in K 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [taylor]: Taking taylor expansion of 0 in K 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 1 into 1 6.433 * [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)) 6.433 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 6.433 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.433 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.433 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.433 * [taylor]: Taking taylor expansion of 1/4 in K 6.433 * [backup-simplify]: Simplify 1/4 into 1/4 6.433 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.433 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.433 * [taylor]: Taking taylor expansion of J in K 6.433 * [backup-simplify]: Simplify J into J 6.433 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.433 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.433 * [taylor]: Taking taylor expansion of U in K 6.433 * [backup-simplify]: Simplify U into U 6.433 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.433 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.433 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.433 * [taylor]: Taking taylor expansion of 1/2 in K 6.433 * [backup-simplify]: Simplify 1/2 into 1/2 6.433 * [taylor]: Taking taylor expansion of K in K 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 1 into 1 6.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.434 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.434 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.434 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.434 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.434 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.434 * [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))) 6.434 * [taylor]: Taking taylor expansion of 1 in K 6.434 * [backup-simplify]: Simplify 1 into 1 6.434 * [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)))) 6.434 * [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) 6.435 * [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)) 6.435 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.435 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.435 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.435 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.435 * [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 6.436 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.436 * [backup-simplify]: Simplify (+ 0 0) into 0 6.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.436 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.436 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.436 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.436 * [taylor]: Taking taylor expansion of 1/4 in J 6.436 * [backup-simplify]: Simplify 1/4 into 1/4 6.436 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.436 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.436 * [taylor]: Taking taylor expansion of J in J 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.437 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.437 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.437 * [taylor]: Taking taylor expansion of U in J 6.437 * [backup-simplify]: Simplify U into U 6.437 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.437 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.437 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.437 * [taylor]: Taking taylor expansion of 1/2 in J 6.437 * [backup-simplify]: Simplify 1/2 into 1/2 6.437 * [taylor]: Taking taylor expansion of K in J 6.437 * [backup-simplify]: Simplify K into K 6.437 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.437 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.437 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.437 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.437 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.437 * [backup-simplify]: Simplify (- 0) into 0 6.437 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.438 * [backup-simplify]: Simplify (* 1 1) into 1 6.438 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.438 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.438 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.438 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.438 * [taylor]: Taking taylor expansion of 1 in J 6.438 * [backup-simplify]: Simplify 1 into 1 6.438 * [backup-simplify]: Simplify (+ 0 1) into 1 6.438 * [backup-simplify]: Simplify (sqrt 1) into 1 6.439 * [backup-simplify]: Simplify (+ 0 0) into 0 6.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.439 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.439 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.439 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.439 * [taylor]: Taking taylor expansion of 1/4 in U 6.439 * [backup-simplify]: Simplify 1/4 into 1/4 6.439 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.439 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.439 * [taylor]: Taking taylor expansion of J in U 6.439 * [backup-simplify]: Simplify J into J 6.439 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.439 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.439 * [taylor]: Taking taylor expansion of U in U 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify 1 into 1 6.439 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.439 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.439 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.439 * [taylor]: Taking taylor expansion of 1/2 in U 6.439 * [backup-simplify]: Simplify 1/2 into 1/2 6.439 * [taylor]: Taking taylor expansion of K in U 6.439 * [backup-simplify]: Simplify K into K 6.440 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.440 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.440 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.440 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.440 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.440 * [backup-simplify]: Simplify (- 0) into 0 6.440 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.440 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.440 * [backup-simplify]: Simplify (* 1 1) into 1 6.440 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.440 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.441 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.441 * [taylor]: Taking taylor expansion of 1 in U 6.441 * [backup-simplify]: Simplify 1 into 1 6.441 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.441 * [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))) 6.441 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.441 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.441 * [backup-simplify]: Simplify (+ 0) into 0 6.442 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.442 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.443 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.443 * [backup-simplify]: Simplify (- 0) into 0 6.443 * [backup-simplify]: Simplify (+ 0 0) into 0 6.443 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.444 * [backup-simplify]: 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 6.444 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.445 * [backup-simplify]: Simplify (+ 0 0) into 0 6.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.445 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.445 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.445 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.445 * [taylor]: Taking taylor expansion of 1/4 in U 6.445 * [backup-simplify]: Simplify 1/4 into 1/4 6.445 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.445 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.445 * [taylor]: Taking taylor expansion of J in U 6.445 * [backup-simplify]: Simplify J into J 6.445 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.445 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.445 * [taylor]: Taking taylor expansion of U in U 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify 1 into 1 6.445 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.445 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.445 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.445 * [taylor]: Taking taylor expansion of 1/2 in U 6.445 * [backup-simplify]: Simplify 1/2 into 1/2 6.445 * [taylor]: Taking taylor expansion of K in U 6.445 * [backup-simplify]: Simplify K into K 6.445 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.445 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.445 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.445 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.445 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.446 * [backup-simplify]: Simplify (- 0) into 0 6.446 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.446 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.446 * [backup-simplify]: Simplify (* 1 1) into 1 6.446 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.446 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.446 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.446 * [taylor]: Taking taylor expansion of 1 in U 6.446 * [backup-simplify]: Simplify 1 into 1 6.446 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.447 * [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))) 6.447 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.447 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.447 * [backup-simplify]: Simplify (+ 0) into 0 6.448 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.448 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.448 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.449 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.449 * [backup-simplify]: Simplify (- 0) into 0 6.449 * [backup-simplify]: Simplify (+ 0 0) into 0 6.449 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.450 * [backup-simplify]: 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 6.451 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.451 * [backup-simplify]: Simplify (+ 0 0) into 0 6.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 6.451 * [taylor]: Taking taylor expansion of 1/2 in J 6.451 * [backup-simplify]: Simplify 1/2 into 1/2 6.451 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 6.451 * [taylor]: Taking taylor expansion of J in J 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.451 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.451 * [taylor]: Taking taylor expansion of 1/2 in J 6.451 * [backup-simplify]: Simplify 1/2 into 1/2 6.451 * [taylor]: Taking taylor expansion of K in J 6.451 * [backup-simplify]: Simplify K into K 6.451 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.451 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.451 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.452 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.452 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.452 * [backup-simplify]: Simplify (- 0) into 0 6.452 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.452 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.452 * [taylor]: Taking taylor expansion of 0 in J 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [taylor]: Taking taylor expansion of 0 in K 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 6.452 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 6.452 * [taylor]: Taking taylor expansion of 1/2 in K 6.452 * [backup-simplify]: Simplify 1/2 into 1/2 6.452 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.452 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.452 * [taylor]: Taking taylor expansion of 1/2 in K 6.452 * [backup-simplify]: Simplify 1/2 into 1/2 6.452 * [taylor]: Taking taylor expansion of K in K 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify 1 into 1 6.453 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.453 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.453 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.453 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.453 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.454 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.454 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.455 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.455 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.455 * [backup-simplify]: Simplify (- 0) into 0 6.455 * [backup-simplify]: Simplify (+ 0 0) into 0 6.456 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.457 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.458 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.458 * [backup-simplify]: Simplify (+ 0 1) into 1 6.459 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 6.459 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.459 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.459 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.459 * [taylor]: Taking taylor expansion of 1/2 in J 6.459 * [backup-simplify]: Simplify 1/2 into 1/2 6.459 * [taylor]: Taking taylor expansion of K in J 6.459 * [backup-simplify]: Simplify K into K 6.459 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.459 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.459 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.459 * [taylor]: Taking taylor expansion of J in J 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 1 into 1 6.459 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.459 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.459 * [backup-simplify]: Simplify (- 0) into 0 6.459 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.459 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.460 * [backup-simplify]: Simplify (+ 0) into 0 6.460 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.460 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.460 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.461 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.461 * [backup-simplify]: Simplify (- 0) into 0 6.461 * [backup-simplify]: Simplify (+ 0 0) into 0 6.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.462 * [taylor]: Taking taylor expansion of 0 in K 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [taylor]: Taking taylor expansion of 0 in K 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify (+ 0) into 0 6.463 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.463 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.463 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.463 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.464 * [backup-simplify]: Simplify (- 0) into 0 6.464 * [backup-simplify]: Simplify (+ 0 0) into 0 6.464 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.464 * [taylor]: Taking taylor expansion of 0 in K 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.466 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.466 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.466 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.467 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.468 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.468 * [backup-simplify]: Simplify (- 0) into 0 6.468 * [backup-simplify]: Simplify (+ 0 0) into 0 6.469 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.470 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.471 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.471 * [backup-simplify]: Simplify (+ 0 0) into 0 6.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 6.472 * [taylor]: Taking taylor expansion of 0 in J 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [taylor]: Taking taylor expansion of 0 in K 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.472 * [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)))))) 6.472 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 6.472 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.472 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.472 * [taylor]: Taking taylor expansion of 1 in K 6.472 * [backup-simplify]: Simplify 1 into 1 6.472 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.472 * [taylor]: Taking taylor expansion of 1/4 in K 6.472 * [backup-simplify]: Simplify 1/4 into 1/4 6.472 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.472 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.472 * [taylor]: Taking taylor expansion of J in K 6.472 * [backup-simplify]: Simplify J into J 6.472 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.472 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.472 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.472 * [taylor]: Taking taylor expansion of -1/2 in K 6.472 * [backup-simplify]: Simplify -1/2 into -1/2 6.472 * [taylor]: Taking taylor expansion of K in K 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify 1 into 1 6.473 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.473 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.473 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.473 * [taylor]: Taking taylor expansion of U in K 6.473 * [backup-simplify]: Simplify U into U 6.473 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.473 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.473 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.473 * [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))) 6.473 * [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)))) 6.474 * [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))))) 6.474 * [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)))))) 6.474 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.474 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.474 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.474 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.474 * [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 6.475 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.475 * [backup-simplify]: Simplify (+ 0 0) into 0 6.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.475 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.475 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.475 * [taylor]: Taking taylor expansion of 1 in J 6.476 * [backup-simplify]: Simplify 1 into 1 6.476 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.476 * [taylor]: Taking taylor expansion of 1/4 in J 6.476 * [backup-simplify]: Simplify 1/4 into 1/4 6.476 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.476 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.476 * [taylor]: Taking taylor expansion of J in J 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 1 into 1 6.476 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.476 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.476 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.476 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.476 * [taylor]: Taking taylor expansion of -1/2 in J 6.476 * [backup-simplify]: Simplify -1/2 into -1/2 6.476 * [taylor]: Taking taylor expansion of K in J 6.476 * [backup-simplify]: Simplify K into K 6.476 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.476 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.476 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.476 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.476 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.476 * [backup-simplify]: Simplify (- 0) into 0 6.476 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.476 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.477 * [taylor]: Taking taylor expansion of U in J 6.477 * [backup-simplify]: Simplify U into U 6.477 * [backup-simplify]: Simplify (* 1 1) into 1 6.477 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.477 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.477 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.477 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.478 * [backup-simplify]: Simplify (+ 1 0) into 1 6.478 * [backup-simplify]: Simplify (sqrt 1) into 1 6.479 * [backup-simplify]: Simplify (+ 0 0) into 0 6.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.479 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.480 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.480 * [taylor]: Taking taylor expansion of 1 in U 6.480 * [backup-simplify]: Simplify 1 into 1 6.480 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.480 * [taylor]: Taking taylor expansion of 1/4 in U 6.480 * [backup-simplify]: Simplify 1/4 into 1/4 6.480 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.480 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.480 * [taylor]: Taking taylor expansion of J in U 6.480 * [backup-simplify]: Simplify J into J 6.480 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.480 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.480 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.480 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.480 * [taylor]: Taking taylor expansion of -1/2 in U 6.480 * [backup-simplify]: Simplify -1/2 into -1/2 6.480 * [taylor]: Taking taylor expansion of K in U 6.480 * [backup-simplify]: Simplify K into K 6.480 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.480 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.480 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.480 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.480 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.481 * [backup-simplify]: Simplify (- 0) into 0 6.481 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.481 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.481 * [taylor]: Taking taylor expansion of U in U 6.481 * [backup-simplify]: Simplify 0 into 0 6.481 * [backup-simplify]: Simplify 1 into 1 6.481 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.481 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.482 * [backup-simplify]: Simplify (* 1 1) into 1 6.482 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.482 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.482 * [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))) 6.482 * [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))) 6.483 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.483 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.484 * [backup-simplify]: Simplify (+ 0) into 0 6.484 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.485 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.485 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.486 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.486 * [backup-simplify]: Simplify (- 0) into 0 6.487 * [backup-simplify]: Simplify (+ 0 0) into 0 6.487 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.487 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.488 * [backup-simplify]: 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 6.488 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.489 * [backup-simplify]: Simplify (+ 0 0) into 0 6.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.489 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.489 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.489 * [taylor]: Taking taylor expansion of 1 in U 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.489 * [taylor]: Taking taylor expansion of 1/4 in U 6.489 * [backup-simplify]: Simplify 1/4 into 1/4 6.489 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.489 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.489 * [taylor]: Taking taylor expansion of J in U 6.489 * [backup-simplify]: Simplify J into J 6.489 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.489 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.489 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.490 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.490 * [taylor]: Taking taylor expansion of -1/2 in U 6.490 * [backup-simplify]: Simplify -1/2 into -1/2 6.490 * [taylor]: Taking taylor expansion of K in U 6.490 * [backup-simplify]: Simplify K into K 6.490 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.490 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.490 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.490 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.490 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.490 * [backup-simplify]: Simplify (- 0) into 0 6.490 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.491 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.491 * [taylor]: Taking taylor expansion of U in U 6.491 * [backup-simplify]: Simplify 0 into 0 6.491 * [backup-simplify]: Simplify 1 into 1 6.491 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.491 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.491 * [backup-simplify]: Simplify (* 1 1) into 1 6.491 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.491 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.492 * [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))) 6.492 * [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))) 6.492 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.492 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.493 * [backup-simplify]: Simplify (+ 0) into 0 6.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.494 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.495 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.496 * [backup-simplify]: Simplify (- 0) into 0 6.496 * [backup-simplify]: Simplify (+ 0 0) into 0 6.496 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.497 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.497 * [backup-simplify]: 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 6.498 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.498 * [backup-simplify]: Simplify (+ 0 0) into 0 6.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.499 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 6.499 * [taylor]: Taking taylor expansion of 1/2 in J 6.499 * [backup-simplify]: Simplify 1/2 into 1/2 6.499 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 6.499 * [taylor]: Taking taylor expansion of J in J 6.499 * [backup-simplify]: Simplify 0 into 0 6.499 * [backup-simplify]: Simplify 1 into 1 6.499 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.499 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.499 * [taylor]: Taking taylor expansion of -1/2 in J 6.499 * [backup-simplify]: Simplify -1/2 into -1/2 6.499 * [taylor]: Taking taylor expansion of K in J 6.499 * [backup-simplify]: Simplify K into K 6.499 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.499 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.499 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.499 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.499 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.500 * [backup-simplify]: Simplify (- 0) into 0 6.500 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.500 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.500 * [taylor]: Taking taylor expansion of 0 in J 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [taylor]: Taking taylor expansion of 0 in K 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 6.500 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 6.501 * [taylor]: Taking taylor expansion of 1/2 in K 6.501 * [backup-simplify]: Simplify 1/2 into 1/2 6.501 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.501 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.501 * [taylor]: Taking taylor expansion of -1/2 in K 6.501 * [backup-simplify]: Simplify -1/2 into -1/2 6.501 * [taylor]: Taking taylor expansion of K in K 6.501 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify 1 into 1 6.501 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.501 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.501 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.502 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.502 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.504 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.505 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.505 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.506 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.506 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.507 * [backup-simplify]: Simplify (- 0) into 0 6.507 * [backup-simplify]: Simplify (+ 0 0) into 0 6.508 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.509 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.509 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.510 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.511 * [backup-simplify]: Simplify (+ 1 0) into 1 6.512 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 6.512 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.512 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.512 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.512 * [taylor]: Taking taylor expansion of -1/2 in J 6.512 * [backup-simplify]: Simplify -1/2 into -1/2 6.512 * [taylor]: Taking taylor expansion of K in J 6.512 * [backup-simplify]: Simplify K into K 6.512 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.512 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.512 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.512 * [taylor]: Taking taylor expansion of J in J 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 1 into 1 6.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.513 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.513 * [backup-simplify]: Simplify (- 0) into 0 6.513 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.513 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.514 * [backup-simplify]: Simplify (+ 0) into 0 6.514 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.514 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.516 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.516 * [backup-simplify]: Simplify (- 0) into 0 6.516 * [backup-simplify]: Simplify (+ 0 0) into 0 6.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.517 * [taylor]: Taking taylor expansion of 0 in K 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [taylor]: Taking taylor expansion of 0 in K 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify (+ 0) into 0 6.518 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.518 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.519 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.520 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.520 * [backup-simplify]: Simplify (- 0) into 0 6.520 * [backup-simplify]: Simplify (+ 0 0) into 0 6.521 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.521 * [taylor]: Taking taylor expansion of 0 in K 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.522 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.525 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.525 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.526 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.528 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.528 * [backup-simplify]: Simplify (- 0) into 0 6.529 * [backup-simplify]: Simplify (+ 0 0) into 0 6.530 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.530 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.531 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.532 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.533 * [backup-simplify]: Simplify (+ 0 0) into 0 6.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 6.533 * [taylor]: Taking taylor expansion of 0 in J 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [taylor]: Taking taylor expansion of 0 in K 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.534 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 6.534 * [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)) 6.534 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 6.534 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.534 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.534 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.534 * [taylor]: Taking taylor expansion of 1/4 in K 6.534 * [backup-simplify]: Simplify 1/4 into 1/4 6.534 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.534 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.534 * [taylor]: Taking taylor expansion of U in K 6.534 * [backup-simplify]: Simplify U into U 6.534 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.534 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.534 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.534 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.534 * [taylor]: Taking taylor expansion of 1/2 in K 6.534 * [backup-simplify]: Simplify 1/2 into 1/2 6.535 * [taylor]: Taking taylor expansion of K in K 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 1 into 1 6.535 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.536 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.536 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.536 * [taylor]: Taking taylor expansion of J in K 6.536 * [backup-simplify]: Simplify J into J 6.536 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.536 * [backup-simplify]: Simplify (* 1 1) into 1 6.536 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.536 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.536 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.536 * [taylor]: Taking taylor expansion of 1 in K 6.537 * [backup-simplify]: Simplify 1 into 1 6.537 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.537 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.537 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.537 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.537 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.537 * [backup-simplify]: Simplify (+ 0) into 0 6.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.538 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 6.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 6.539 * [backup-simplify]: Simplify (+ 0 0) into 0 6.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.539 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.539 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.539 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.539 * [taylor]: Taking taylor expansion of 1/4 in J 6.539 * [backup-simplify]: Simplify 1/4 into 1/4 6.539 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.539 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.539 * [taylor]: Taking taylor expansion of U in J 6.539 * [backup-simplify]: Simplify U into U 6.539 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.539 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.539 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.539 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.539 * [taylor]: Taking taylor expansion of 1/2 in J 6.540 * [backup-simplify]: Simplify 1/2 into 1/2 6.540 * [taylor]: Taking taylor expansion of K in J 6.540 * [backup-simplify]: Simplify K into K 6.540 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.540 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.540 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.540 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.540 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.540 * [backup-simplify]: Simplify (- 0) into 0 6.540 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.540 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.540 * [taylor]: Taking taylor expansion of J in J 6.540 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify 1 into 1 6.540 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.540 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.541 * [backup-simplify]: Simplify (* 1 1) into 1 6.541 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.541 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.541 * [taylor]: Taking taylor expansion of 1 in J 6.541 * [backup-simplify]: Simplify 1 into 1 6.541 * [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))) 6.541 * [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))) 6.541 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.541 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.542 * [backup-simplify]: Simplify (+ 0) into 0 6.542 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.543 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.543 * [backup-simplify]: Simplify (- 0) into 0 6.544 * [backup-simplify]: Simplify (+ 0 0) into 0 6.544 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.544 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.544 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.545 * [backup-simplify]: Simplify (+ 0 0) into 0 6.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.545 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.545 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.545 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.545 * [taylor]: Taking taylor expansion of 1/4 in U 6.545 * [backup-simplify]: Simplify 1/4 into 1/4 6.545 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.545 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.545 * [taylor]: Taking taylor expansion of U in U 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify 1 into 1 6.545 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.545 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.545 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.545 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.545 * [taylor]: Taking taylor expansion of 1/2 in U 6.545 * [backup-simplify]: Simplify 1/2 into 1/2 6.545 * [taylor]: Taking taylor expansion of K in U 6.545 * [backup-simplify]: Simplify K into K 6.545 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.545 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.545 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.546 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.546 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.546 * [backup-simplify]: Simplify (- 0) into 0 6.546 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.546 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.546 * [taylor]: Taking taylor expansion of J in U 6.546 * [backup-simplify]: Simplify J into J 6.546 * [backup-simplify]: Simplify (* 1 1) into 1 6.546 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.546 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.546 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.546 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.547 * [taylor]: Taking taylor expansion of 1 in U 6.547 * [backup-simplify]: Simplify 1 into 1 6.547 * [backup-simplify]: Simplify (+ 0 1) into 1 6.548 * [backup-simplify]: Simplify (sqrt 1) into 1 6.549 * [backup-simplify]: Simplify (+ 0 0) into 0 6.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.549 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.549 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.549 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.549 * [taylor]: Taking taylor expansion of 1/4 in U 6.549 * [backup-simplify]: Simplify 1/4 into 1/4 6.549 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.549 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.549 * [taylor]: Taking taylor expansion of U in U 6.549 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify 1 into 1 6.549 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.549 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.549 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.549 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.549 * [taylor]: Taking taylor expansion of 1/2 in U 6.549 * [backup-simplify]: Simplify 1/2 into 1/2 6.549 * [taylor]: Taking taylor expansion of K in U 6.549 * [backup-simplify]: Simplify K into K 6.549 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.549 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.550 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.550 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.550 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.550 * [backup-simplify]: Simplify (- 0) into 0 6.550 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.550 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.550 * [taylor]: Taking taylor expansion of J in U 6.550 * [backup-simplify]: Simplify J into J 6.550 * [backup-simplify]: Simplify (* 1 1) into 1 6.550 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.550 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.550 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.551 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.551 * [taylor]: Taking taylor expansion of 1 in U 6.551 * [backup-simplify]: Simplify 1 into 1 6.551 * [backup-simplify]: Simplify (+ 0 1) into 1 6.551 * [backup-simplify]: Simplify (sqrt 1) into 1 6.551 * [backup-simplify]: Simplify (+ 0 0) into 0 6.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.552 * [taylor]: Taking taylor expansion of 1 in J 6.552 * [backup-simplify]: Simplify 1 into 1 6.552 * [taylor]: Taking taylor expansion of 0 in J 6.552 * [backup-simplify]: Simplify 0 into 0 6.552 * [taylor]: Taking taylor expansion of 1 in K 6.552 * [backup-simplify]: Simplify 1 into 1 6.552 * [backup-simplify]: Simplify 1 into 1 6.552 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.552 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.553 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.553 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.553 * [taylor]: Taking taylor expansion of 1/8 in J 6.553 * [backup-simplify]: Simplify 1/8 into 1/8 6.553 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.553 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.553 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.553 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.553 * [taylor]: Taking taylor expansion of 1/2 in J 6.553 * [backup-simplify]: Simplify 1/2 into 1/2 6.553 * [taylor]: Taking taylor expansion of K in J 6.553 * [backup-simplify]: Simplify K into K 6.553 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.553 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.553 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.553 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.554 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.554 * [backup-simplify]: Simplify (- 0) into 0 6.554 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.554 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.554 * [taylor]: Taking taylor expansion of J in J 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.554 * [backup-simplify]: Simplify (* 1 1) into 1 6.554 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.554 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 6.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.555 * [backup-simplify]: Simplify (+ 0) into 0 6.555 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.556 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.556 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.557 * [backup-simplify]: Simplify (- 0) into 0 6.557 * [backup-simplify]: Simplify (+ 0 0) into 0 6.557 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.557 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.557 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.558 * [taylor]: Taking taylor expansion of 0 in K 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [taylor]: Taking taylor expansion of 0 in K 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [taylor]: Taking taylor expansion of 0 in K 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.558 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.559 * [backup-simplify]: Simplify (+ 0) into 0 6.559 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.560 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.560 * [backup-simplify]: Simplify (- 0) into 0 6.561 * [backup-simplify]: Simplify (+ 0 0) into 0 6.561 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.561 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.562 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.563 * [backup-simplify]: Simplify (+ 0 0) into 0 6.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 6.564 * [taylor]: Taking taylor expansion of 0 in J 6.564 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.567 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.569 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.569 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.570 * [backup-simplify]: Simplify (- 0) into 0 6.570 * [backup-simplify]: Simplify (+ 0 0) into 0 6.571 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.571 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.572 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.572 * [taylor]: Taking taylor expansion of 0 in K 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [taylor]: Taking taylor expansion of 0 in K 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 1 into 1 6.573 * [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)) 6.573 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 6.573 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.573 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.573 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.573 * [taylor]: Taking taylor expansion of 1/4 in K 6.573 * [backup-simplify]: Simplify 1/4 into 1/4 6.573 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.573 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.573 * [taylor]: Taking taylor expansion of J in K 6.573 * [backup-simplify]: Simplify J into J 6.573 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.573 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.573 * [taylor]: Taking taylor expansion of U in K 6.573 * [backup-simplify]: Simplify U into U 6.573 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.573 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.574 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.574 * [taylor]: Taking taylor expansion of 1/2 in K 6.574 * [backup-simplify]: Simplify 1/2 into 1/2 6.574 * [taylor]: Taking taylor expansion of K in K 6.574 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify 1 into 1 6.575 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.575 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.575 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.575 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.575 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.575 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.575 * [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))) 6.576 * [taylor]: Taking taylor expansion of 1 in K 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [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)))) 6.576 * [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) 6.577 * [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)) 6.577 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.577 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.577 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.578 * [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 6.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.579 * [backup-simplify]: Simplify (+ 0 0) into 0 6.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.580 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.580 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.580 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.580 * [taylor]: Taking taylor expansion of 1/4 in J 6.580 * [backup-simplify]: Simplify 1/4 into 1/4 6.580 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.580 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.580 * [taylor]: Taking taylor expansion of J in J 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 1 into 1 6.580 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.580 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.580 * [taylor]: Taking taylor expansion of U in J 6.580 * [backup-simplify]: Simplify U into U 6.580 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.580 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.580 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.580 * [taylor]: Taking taylor expansion of 1/2 in J 6.580 * [backup-simplify]: Simplify 1/2 into 1/2 6.580 * [taylor]: Taking taylor expansion of K in J 6.580 * [backup-simplify]: Simplify K into K 6.580 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.580 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.580 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.580 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.580 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.581 * [backup-simplify]: Simplify (- 0) into 0 6.581 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.581 * [backup-simplify]: Simplify (* 1 1) into 1 6.582 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.582 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.582 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.582 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.582 * [taylor]: Taking taylor expansion of 1 in J 6.582 * [backup-simplify]: Simplify 1 into 1 6.583 * [backup-simplify]: Simplify (+ 0 1) into 1 6.583 * [backup-simplify]: Simplify (sqrt 1) into 1 6.583 * [backup-simplify]: Simplify (+ 0 0) into 0 6.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.584 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.585 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.585 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.585 * [taylor]: Taking taylor expansion of 1/4 in U 6.585 * [backup-simplify]: Simplify 1/4 into 1/4 6.585 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.585 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.585 * [taylor]: Taking taylor expansion of J in U 6.585 * [backup-simplify]: Simplify J into J 6.585 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.585 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.585 * [taylor]: Taking taylor expansion of U in U 6.585 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify 1 into 1 6.585 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.585 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.585 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.585 * [taylor]: Taking taylor expansion of 1/2 in U 6.585 * [backup-simplify]: Simplify 1/2 into 1/2 6.585 * [taylor]: Taking taylor expansion of K in U 6.585 * [backup-simplify]: Simplify K into K 6.585 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.585 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.585 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.585 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.585 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.586 * [backup-simplify]: Simplify (- 0) into 0 6.586 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.586 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.587 * [backup-simplify]: Simplify (* 1 1) into 1 6.587 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.587 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.587 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.587 * [taylor]: Taking taylor expansion of 1 in U 6.587 * [backup-simplify]: Simplify 1 into 1 6.587 * [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))) 6.587 * [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))) 6.588 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.588 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.588 * [backup-simplify]: Simplify (+ 0) into 0 6.589 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.589 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.589 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.590 * [backup-simplify]: Simplify (- 0) into 0 6.590 * [backup-simplify]: Simplify (+ 0 0) into 0 6.590 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.591 * [backup-simplify]: 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 6.591 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.592 * [backup-simplify]: Simplify (+ 0 0) into 0 6.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.592 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.592 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.592 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.592 * [taylor]: Taking taylor expansion of 1/4 in U 6.592 * [backup-simplify]: Simplify 1/4 into 1/4 6.592 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.592 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.592 * [taylor]: Taking taylor expansion of J in U 6.592 * [backup-simplify]: Simplify J into J 6.592 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.592 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.592 * [taylor]: Taking taylor expansion of U in U 6.592 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify 1 into 1 6.592 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.592 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.592 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.592 * [taylor]: Taking taylor expansion of 1/2 in U 6.592 * [backup-simplify]: Simplify 1/2 into 1/2 6.592 * [taylor]: Taking taylor expansion of K in U 6.592 * [backup-simplify]: Simplify K into K 6.592 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.592 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.592 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.592 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.592 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.593 * [backup-simplify]: Simplify (- 0) into 0 6.593 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.593 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.593 * [backup-simplify]: Simplify (* 1 1) into 1 6.593 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.593 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.593 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.593 * [taylor]: Taking taylor expansion of 1 in U 6.594 * [backup-simplify]: Simplify 1 into 1 6.594 * [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))) 6.594 * [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))) 6.594 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.594 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.594 * [backup-simplify]: Simplify (+ 0) into 0 6.595 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.595 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.596 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.597 * [backup-simplify]: Simplify (- 0) into 0 6.597 * [backup-simplify]: Simplify (+ 0 0) into 0 6.597 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.599 * [backup-simplify]: 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 6.599 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.600 * [backup-simplify]: Simplify (+ 0 0) into 0 6.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 6.600 * [taylor]: Taking taylor expansion of 1/2 in J 6.600 * [backup-simplify]: Simplify 1/2 into 1/2 6.600 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 6.600 * [taylor]: Taking taylor expansion of J in J 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify 1 into 1 6.600 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.600 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.600 * [taylor]: Taking taylor expansion of 1/2 in J 6.600 * [backup-simplify]: Simplify 1/2 into 1/2 6.600 * [taylor]: Taking taylor expansion of K in J 6.600 * [backup-simplify]: Simplify K into K 6.601 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.601 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.601 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.601 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.601 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.601 * [backup-simplify]: Simplify (- 0) into 0 6.601 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.601 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.601 * [taylor]: Taking taylor expansion of 0 in J 6.601 * [backup-simplify]: Simplify 0 into 0 6.602 * [taylor]: Taking taylor expansion of 0 in K 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 6.602 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 6.602 * [taylor]: Taking taylor expansion of 1/2 in K 6.602 * [backup-simplify]: Simplify 1/2 into 1/2 6.602 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.602 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.602 * [taylor]: Taking taylor expansion of 1/2 in K 6.602 * [backup-simplify]: Simplify 1/2 into 1/2 6.602 * [taylor]: Taking taylor expansion of K in K 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify 1 into 1 6.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.602 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.603 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.603 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.603 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.605 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.605 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.606 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.606 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.606 * [backup-simplify]: Simplify (- 0) into 0 6.607 * [backup-simplify]: Simplify (+ 0 0) into 0 6.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.610 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.610 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.611 * [backup-simplify]: Simplify (+ 0 1) into 1 6.612 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 6.612 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.612 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.612 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.612 * [taylor]: Taking taylor expansion of 1/2 in J 6.612 * [backup-simplify]: Simplify 1/2 into 1/2 6.612 * [taylor]: Taking taylor expansion of K in J 6.612 * [backup-simplify]: Simplify K into K 6.612 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.612 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.612 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.612 * [taylor]: Taking taylor expansion of J in J 6.612 * [backup-simplify]: Simplify 0 into 0 6.612 * [backup-simplify]: Simplify 1 into 1 6.612 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.613 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.613 * [backup-simplify]: Simplify (- 0) into 0 6.613 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.613 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.614 * [backup-simplify]: Simplify (+ 0) into 0 6.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.614 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.615 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.615 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.616 * [backup-simplify]: Simplify (- 0) into 0 6.616 * [backup-simplify]: Simplify (+ 0 0) into 0 6.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.617 * [taylor]: Taking taylor expansion of 0 in K 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [taylor]: Taking taylor expansion of 0 in K 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify (+ 0) into 0 6.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.618 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.619 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.619 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.620 * [backup-simplify]: Simplify (- 0) into 0 6.620 * [backup-simplify]: Simplify (+ 0 0) into 0 6.620 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.621 * [taylor]: Taking taylor expansion of 0 in K 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.621 * [backup-simplify]: Simplify 0 into 0 6.622 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.623 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.624 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.624 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.626 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.627 * [backup-simplify]: Simplify (- 0) into 0 6.627 * [backup-simplify]: Simplify (+ 0 0) into 0 6.628 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.631 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.632 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.633 * [backup-simplify]: Simplify (+ 0 0) into 0 6.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 6.633 * [taylor]: Taking taylor expansion of 0 in J 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [taylor]: Taking taylor expansion of 0 in K 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.634 * [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)))))) 6.634 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 6.634 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.634 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.634 * [taylor]: Taking taylor expansion of 1 in K 6.634 * [backup-simplify]: Simplify 1 into 1 6.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.634 * [taylor]: Taking taylor expansion of 1/4 in K 6.634 * [backup-simplify]: Simplify 1/4 into 1/4 6.634 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.634 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.634 * [taylor]: Taking taylor expansion of J in K 6.634 * [backup-simplify]: Simplify J into J 6.634 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.634 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.634 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.634 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.634 * [taylor]: Taking taylor expansion of -1/2 in K 6.634 * [backup-simplify]: Simplify -1/2 into -1/2 6.634 * [taylor]: Taking taylor expansion of K in K 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 1 into 1 6.635 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.635 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.635 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.635 * [taylor]: Taking taylor expansion of U in K 6.635 * [backup-simplify]: Simplify U into U 6.635 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.635 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.635 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.636 * [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))) 6.636 * [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)))) 6.636 * [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))))) 6.637 * [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)))))) 6.637 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.637 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.637 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.638 * [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 6.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.639 * [backup-simplify]: Simplify (+ 0 0) into 0 6.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.639 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.639 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.639 * [taylor]: Taking taylor expansion of 1 in J 6.639 * [backup-simplify]: Simplify 1 into 1 6.639 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.640 * [taylor]: Taking taylor expansion of 1/4 in J 6.640 * [backup-simplify]: Simplify 1/4 into 1/4 6.640 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.640 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.640 * [taylor]: Taking taylor expansion of J in J 6.640 * [backup-simplify]: Simplify 0 into 0 6.640 * [backup-simplify]: Simplify 1 into 1 6.640 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.640 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.640 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.640 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.640 * [taylor]: Taking taylor expansion of -1/2 in J 6.640 * [backup-simplify]: Simplify -1/2 into -1/2 6.640 * [taylor]: Taking taylor expansion of K in J 6.640 * [backup-simplify]: Simplify K into K 6.640 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.640 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.640 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.640 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.640 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.641 * [backup-simplify]: Simplify (- 0) into 0 6.641 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.641 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.641 * [taylor]: Taking taylor expansion of U in J 6.641 * [backup-simplify]: Simplify U into U 6.641 * [backup-simplify]: Simplify (* 1 1) into 1 6.641 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.641 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.642 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.642 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.642 * [backup-simplify]: Simplify (+ 1 0) into 1 6.643 * [backup-simplify]: Simplify (sqrt 1) into 1 6.643 * [backup-simplify]: Simplify (+ 0 0) into 0 6.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.644 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.644 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.644 * [taylor]: Taking taylor expansion of 1 in U 6.644 * [backup-simplify]: Simplify 1 into 1 6.644 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.644 * [taylor]: Taking taylor expansion of 1/4 in U 6.644 * [backup-simplify]: Simplify 1/4 into 1/4 6.644 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.644 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.644 * [taylor]: Taking taylor expansion of J in U 6.644 * [backup-simplify]: Simplify J into J 6.644 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.644 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.644 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.644 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.644 * [taylor]: Taking taylor expansion of -1/2 in U 6.644 * [backup-simplify]: Simplify -1/2 into -1/2 6.644 * [taylor]: Taking taylor expansion of K in U 6.644 * [backup-simplify]: Simplify K into K 6.644 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.645 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.645 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.645 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.645 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.645 * [backup-simplify]: Simplify (- 0) into 0 6.645 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.645 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.645 * [taylor]: Taking taylor expansion of U in U 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify 1 into 1 6.645 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.646 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.646 * [backup-simplify]: Simplify (* 1 1) into 1 6.646 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.646 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.646 * [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))) 6.647 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.647 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.647 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.648 * [backup-simplify]: Simplify (+ 0) into 0 6.648 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.649 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.650 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.650 * [backup-simplify]: Simplify (- 0) into 0 6.651 * [backup-simplify]: Simplify (+ 0 0) into 0 6.651 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.651 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.652 * [backup-simplify]: 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 6.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.653 * [backup-simplify]: Simplify (+ 0 0) into 0 6.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.653 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.653 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.653 * [taylor]: Taking taylor expansion of 1 in U 6.653 * [backup-simplify]: Simplify 1 into 1 6.653 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.653 * [taylor]: Taking taylor expansion of 1/4 in U 6.653 * [backup-simplify]: Simplify 1/4 into 1/4 6.653 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.653 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.653 * [taylor]: Taking taylor expansion of J in U 6.653 * [backup-simplify]: Simplify J into J 6.653 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.653 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.653 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.653 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.653 * [taylor]: Taking taylor expansion of -1/2 in U 6.653 * [backup-simplify]: Simplify -1/2 into -1/2 6.653 * [taylor]: Taking taylor expansion of K in U 6.653 * [backup-simplify]: Simplify K into K 6.654 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.654 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.654 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.654 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.654 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.654 * [backup-simplify]: Simplify (- 0) into 0 6.654 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.654 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.654 * [taylor]: Taking taylor expansion of U in U 6.654 * [backup-simplify]: Simplify 0 into 0 6.654 * [backup-simplify]: Simplify 1 into 1 6.654 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.655 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.655 * [backup-simplify]: Simplify (* 1 1) into 1 6.655 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.655 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.655 * [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))) 6.656 * [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))) 6.656 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.656 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.657 * [backup-simplify]: Simplify (+ 0) into 0 6.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.658 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.659 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.659 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.659 * [backup-simplify]: Simplify (- 0) into 0 6.660 * [backup-simplify]: Simplify (+ 0 0) into 0 6.660 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.661 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.661 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.662 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.662 * [backup-simplify]: Simplify (+ 0 0) into 0 6.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 6.662 * [taylor]: Taking taylor expansion of 1/2 in J 6.662 * [backup-simplify]: Simplify 1/2 into 1/2 6.662 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 6.662 * [taylor]: Taking taylor expansion of J in J 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.663 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.663 * [taylor]: Taking taylor expansion of -1/2 in J 6.663 * [backup-simplify]: Simplify -1/2 into -1/2 6.663 * [taylor]: Taking taylor expansion of K in J 6.663 * [backup-simplify]: Simplify K into K 6.663 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.663 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.663 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.663 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.663 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.663 * [backup-simplify]: Simplify (- 0) into 0 6.663 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.664 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.664 * [taylor]: Taking taylor expansion of 0 in J 6.664 * [backup-simplify]: Simplify 0 into 0 6.664 * [taylor]: Taking taylor expansion of 0 in K 6.664 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 6.664 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 6.664 * [taylor]: Taking taylor expansion of 1/2 in K 6.664 * [backup-simplify]: Simplify 1/2 into 1/2 6.664 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.664 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.664 * [taylor]: Taking taylor expansion of -1/2 in K 6.664 * [backup-simplify]: Simplify -1/2 into -1/2 6.664 * [taylor]: Taking taylor expansion of K in K 6.664 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify 1 into 1 6.665 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.665 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.665 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.665 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.665 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.667 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.668 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.668 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.669 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.669 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.670 * [backup-simplify]: Simplify (- 0) into 0 6.670 * [backup-simplify]: Simplify (+ 0 0) into 0 6.671 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.671 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.672 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.673 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.673 * [backup-simplify]: Simplify (+ 1 0) into 1 6.674 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 6.674 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.674 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.674 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.674 * [taylor]: Taking taylor expansion of -1/2 in J 6.674 * [backup-simplify]: Simplify -1/2 into -1/2 6.674 * [taylor]: Taking taylor expansion of K in J 6.674 * [backup-simplify]: Simplify K into K 6.674 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.674 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.675 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.675 * [taylor]: Taking taylor expansion of J in J 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify 1 into 1 6.675 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.675 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.675 * [backup-simplify]: Simplify (- 0) into 0 6.675 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.675 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.676 * [backup-simplify]: Simplify (+ 0) into 0 6.676 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.676 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.677 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.678 * [backup-simplify]: Simplify (- 0) into 0 6.678 * [backup-simplify]: Simplify (+ 0 0) into 0 6.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.679 * [taylor]: Taking taylor expansion of 0 in K 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [taylor]: Taking taylor expansion of 0 in K 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify (+ 0) into 0 6.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.681 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.682 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.682 * [backup-simplify]: Simplify (- 0) into 0 6.683 * [backup-simplify]: Simplify (+ 0 0) into 0 6.683 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.683 * [taylor]: Taking taylor expansion of 0 in K 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.684 * [backup-simplify]: Simplify 0 into 0 6.685 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.687 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.690 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.691 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.692 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.692 * [backup-simplify]: Simplify (- 0) into 0 6.693 * [backup-simplify]: Simplify (+ 0 0) into 0 6.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.694 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.695 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.696 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.697 * [backup-simplify]: Simplify (+ 0 0) into 0 6.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 6.697 * [taylor]: Taking taylor expansion of 0 in J 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [taylor]: Taking taylor expansion of 0 in K 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.698 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.698 * [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) 6.698 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 6.698 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 6.698 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 6.698 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 6.698 * [taylor]: Taking taylor expansion of 1/4 in K 6.698 * [backup-simplify]: Simplify 1/4 into 1/4 6.698 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.698 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.698 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.698 * [taylor]: Taking taylor expansion of 1/4 in K 6.698 * [backup-simplify]: Simplify 1/4 into 1/4 6.698 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.698 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.698 * [taylor]: Taking taylor expansion of U in K 6.698 * [backup-simplify]: Simplify U into U 6.699 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.699 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.699 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.699 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.699 * [taylor]: Taking taylor expansion of 1/2 in K 6.699 * [backup-simplify]: Simplify 1/2 into 1/2 6.699 * [taylor]: Taking taylor expansion of K in K 6.699 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify 1 into 1 6.699 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.700 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.700 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.700 * [taylor]: Taking taylor expansion of J in K 6.700 * [backup-simplify]: Simplify J into J 6.700 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.701 * [backup-simplify]: Simplify (* 1 1) into 1 6.701 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.701 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.701 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.701 * [taylor]: Taking taylor expansion of 1 in K 6.701 * [backup-simplify]: Simplify 1 into 1 6.701 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.701 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.702 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.702 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 6.702 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 6.702 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 6.702 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.702 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.702 * [taylor]: Taking taylor expansion of 1/4 in J 6.702 * [backup-simplify]: Simplify 1/4 into 1/4 6.703 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.703 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.703 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.703 * [taylor]: Taking taylor expansion of 1/4 in J 6.703 * [backup-simplify]: Simplify 1/4 into 1/4 6.703 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.703 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.703 * [taylor]: Taking taylor expansion of U in J 6.703 * [backup-simplify]: Simplify U into U 6.703 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.703 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.703 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.703 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.703 * [taylor]: Taking taylor expansion of 1/2 in J 6.703 * [backup-simplify]: Simplify 1/2 into 1/2 6.703 * [taylor]: Taking taylor expansion of K in J 6.703 * [backup-simplify]: Simplify K into K 6.703 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.703 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.703 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.703 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.703 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.704 * [backup-simplify]: Simplify (- 0) into 0 6.704 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.704 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.704 * [taylor]: Taking taylor expansion of J in J 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify 1 into 1 6.704 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.704 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.705 * [backup-simplify]: Simplify (* 1 1) into 1 6.705 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.705 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.705 * [taylor]: Taking taylor expansion of 1 in J 6.705 * [backup-simplify]: Simplify 1 into 1 6.705 * [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))) 6.705 * [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))) 6.706 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 6.706 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 6.707 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 6.707 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 6.707 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 6.707 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.707 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.707 * [taylor]: Taking taylor expansion of 1/4 in U 6.707 * [backup-simplify]: Simplify 1/4 into 1/4 6.707 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.707 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.707 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.707 * [taylor]: Taking taylor expansion of 1/4 in U 6.707 * [backup-simplify]: Simplify 1/4 into 1/4 6.707 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.707 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.707 * [taylor]: Taking taylor expansion of U in U 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.708 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.708 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.708 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.708 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.708 * [taylor]: Taking taylor expansion of 1/2 in U 6.708 * [backup-simplify]: Simplify 1/2 into 1/2 6.708 * [taylor]: Taking taylor expansion of K in U 6.708 * [backup-simplify]: Simplify K into K 6.708 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.708 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.708 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.708 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.708 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.708 * [backup-simplify]: Simplify (- 0) into 0 6.709 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.709 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.709 * [taylor]: Taking taylor expansion of J in U 6.709 * [backup-simplify]: Simplify J into J 6.709 * [backup-simplify]: Simplify (* 1 1) into 1 6.709 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.709 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.709 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.710 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.710 * [taylor]: Taking taylor expansion of 1 in U 6.710 * [backup-simplify]: Simplify 1 into 1 6.710 * [backup-simplify]: Simplify (+ 0 1) into 1 6.710 * [backup-simplify]: Simplify (log 1) into 0 6.711 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.712 * [backup-simplify]: Simplify (+ 0 0) into 0 6.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.715 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.715 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.717 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.718 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.718 * [backup-simplify]: Simplify (exp 0) into 1 6.718 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 6.718 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.718 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.718 * [taylor]: Taking taylor expansion of 1/4 in U 6.718 * [backup-simplify]: Simplify 1/4 into 1/4 6.718 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.718 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.718 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.718 * [taylor]: Taking taylor expansion of 1/4 in U 6.718 * [backup-simplify]: Simplify 1/4 into 1/4 6.718 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.718 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.718 * [taylor]: Taking taylor expansion of U in U 6.718 * [backup-simplify]: Simplify 0 into 0 6.718 * [backup-simplify]: Simplify 1 into 1 6.718 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.718 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.718 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.718 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.718 * [taylor]: Taking taylor expansion of 1/2 in U 6.719 * [backup-simplify]: Simplify 1/2 into 1/2 6.719 * [taylor]: Taking taylor expansion of K in U 6.719 * [backup-simplify]: Simplify K into K 6.719 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.719 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.719 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.719 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.719 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.719 * [backup-simplify]: Simplify (- 0) into 0 6.719 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.719 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.719 * [taylor]: Taking taylor expansion of J in U 6.720 * [backup-simplify]: Simplify J into J 6.720 * [backup-simplify]: Simplify (* 1 1) into 1 6.720 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.720 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.720 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.720 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.720 * [taylor]: Taking taylor expansion of 1 in U 6.720 * [backup-simplify]: Simplify 1 into 1 6.721 * [backup-simplify]: Simplify (+ 0 1) into 1 6.721 * [backup-simplify]: Simplify (log 1) into 0 6.721 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.721 * [backup-simplify]: Simplify (+ 0 0) into 0 6.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.722 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.723 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.723 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.724 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.724 * [backup-simplify]: Simplify (exp 0) into 1 6.725 * [taylor]: Taking taylor expansion of 1 in J 6.725 * [backup-simplify]: Simplify 1 into 1 6.725 * [taylor]: Taking taylor expansion of 1 in K 6.725 * [backup-simplify]: Simplify 1 into 1 6.725 * [backup-simplify]: Simplify 1 into 1 6.725 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 6.726 * [taylor]: Taking taylor expansion of 0 in J 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [taylor]: Taking taylor expansion of 0 in K 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [taylor]: Taking taylor expansion of 0 in K 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.726 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.726 * [taylor]: Taking taylor expansion of 1/16 in J 6.726 * [backup-simplify]: Simplify 1/16 into 1/16 6.726 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.726 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.726 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.726 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.726 * [taylor]: Taking taylor expansion of 1/2 in J 6.726 * [backup-simplify]: Simplify 1/2 into 1/2 6.726 * [taylor]: Taking taylor expansion of K in J 6.727 * [backup-simplify]: Simplify K into K 6.727 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.727 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.727 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.727 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.727 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.727 * [backup-simplify]: Simplify (- 0) into 0 6.727 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.727 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.727 * [taylor]: Taking taylor expansion of J in J 6.727 * [backup-simplify]: Simplify 0 into 0 6.727 * [backup-simplify]: Simplify 1 into 1 6.727 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.727 * [backup-simplify]: Simplify (* 1 1) into 1 6.728 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.728 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 6.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.728 * [backup-simplify]: Simplify (+ 0) into 0 6.729 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.729 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.730 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.730 * [backup-simplify]: Simplify (- 0) into 0 6.730 * [backup-simplify]: Simplify (+ 0 0) into 0 6.731 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.731 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.732 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.733 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.733 * [backup-simplify]: Simplify (- 0) into 0 6.734 * [backup-simplify]: Simplify (+ 0 0) into 0 6.734 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.734 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.735 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.735 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.735 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.735 * [taylor]: Taking taylor expansion of 0 in K 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [taylor]: Taking taylor expansion of 0 in K 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [taylor]: Taking taylor expansion of 0 in K 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 1 into 1 6.736 * [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) 6.736 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 6.736 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 6.736 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 6.736 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 6.736 * [taylor]: Taking taylor expansion of 1/4 in K 6.736 * [backup-simplify]: Simplify 1/4 into 1/4 6.736 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.736 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.736 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.736 * [taylor]: Taking taylor expansion of 1/4 in K 6.736 * [backup-simplify]: Simplify 1/4 into 1/4 6.736 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.736 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.736 * [taylor]: Taking taylor expansion of J in K 6.736 * [backup-simplify]: Simplify J into J 6.736 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.736 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.736 * [taylor]: Taking taylor expansion of U in K 6.736 * [backup-simplify]: Simplify U into U 6.736 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.736 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.736 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.736 * [taylor]: Taking taylor expansion of 1/2 in K 6.736 * [backup-simplify]: Simplify 1/2 into 1/2 6.736 * [taylor]: Taking taylor expansion of K in K 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.737 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.737 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.737 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.737 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.737 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.737 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.737 * [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))) 6.737 * [taylor]: Taking taylor expansion of 1 in K 6.737 * [backup-simplify]: Simplify 1 into 1 6.737 * [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)))) 6.737 * [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) 6.738 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.738 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 6.738 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 6.738 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 6.738 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 6.738 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 6.738 * [taylor]: Taking taylor expansion of 1/4 in J 6.738 * [backup-simplify]: Simplify 1/4 into 1/4 6.738 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.738 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.738 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.738 * [taylor]: Taking taylor expansion of 1/4 in J 6.738 * [backup-simplify]: Simplify 1/4 into 1/4 6.738 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.738 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.738 * [taylor]: Taking taylor expansion of J in J 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 1 into 1 6.738 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.738 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.738 * [taylor]: Taking taylor expansion of U in J 6.738 * [backup-simplify]: Simplify U into U 6.738 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.738 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.738 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.738 * [taylor]: Taking taylor expansion of 1/2 in J 6.738 * [backup-simplify]: Simplify 1/2 into 1/2 6.738 * [taylor]: Taking taylor expansion of K in J 6.738 * [backup-simplify]: Simplify K into K 6.738 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.739 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.739 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.739 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.739 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.739 * [backup-simplify]: Simplify (- 0) into 0 6.739 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.739 * [backup-simplify]: Simplify (* 1 1) into 1 6.739 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.739 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.739 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.740 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.740 * [taylor]: Taking taylor expansion of 1 in J 6.740 * [backup-simplify]: Simplify 1 into 1 6.740 * [backup-simplify]: Simplify (+ 0 1) into 1 6.740 * [backup-simplify]: Simplify (log 1) into 0 6.740 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.741 * [backup-simplify]: Simplify (+ 0 0) into 0 6.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.742 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.742 * [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))) 6.742 * [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)))) 6.743 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.744 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.744 * [backup-simplify]: Simplify (exp 0) into 1 6.744 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 6.744 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 6.744 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 6.744 * [taylor]: Taking taylor expansion of 1/4 in U 6.744 * [backup-simplify]: Simplify 1/4 into 1/4 6.744 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.744 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.744 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.744 * [taylor]: Taking taylor expansion of 1/4 in U 6.744 * [backup-simplify]: Simplify 1/4 into 1/4 6.744 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.744 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.744 * [taylor]: Taking taylor expansion of J in U 6.744 * [backup-simplify]: Simplify J into J 6.744 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.744 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.744 * [taylor]: Taking taylor expansion of U in U 6.744 * [backup-simplify]: Simplify 0 into 0 6.744 * [backup-simplify]: Simplify 1 into 1 6.744 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.744 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.744 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.744 * [taylor]: Taking taylor expansion of 1/2 in U 6.744 * [backup-simplify]: Simplify 1/2 into 1/2 6.744 * [taylor]: Taking taylor expansion of K in U 6.744 * [backup-simplify]: Simplify K into K 6.744 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.744 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.744 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.744 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.744 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.745 * [backup-simplify]: Simplify (- 0) into 0 6.745 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.745 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.745 * [backup-simplify]: Simplify (* 1 1) into 1 6.745 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.745 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.745 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.745 * [taylor]: Taking taylor expansion of 1 in U 6.745 * [backup-simplify]: Simplify 1 into 1 6.745 * [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))) 6.746 * [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))) 6.746 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 6.746 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.746 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.747 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.747 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 6.747 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 6.747 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 6.747 * [taylor]: Taking taylor expansion of 1/4 in U 6.747 * [backup-simplify]: Simplify 1/4 into 1/4 6.747 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.747 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.747 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.747 * [taylor]: Taking taylor expansion of 1/4 in U 6.747 * [backup-simplify]: Simplify 1/4 into 1/4 6.747 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.747 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.747 * [taylor]: Taking taylor expansion of J in U 6.747 * [backup-simplify]: Simplify J into J 6.747 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.747 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.747 * [taylor]: Taking taylor expansion of U in U 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 1 into 1 6.747 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.747 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.747 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.747 * [taylor]: Taking taylor expansion of 1/2 in U 6.747 * [backup-simplify]: Simplify 1/2 into 1/2 6.747 * [taylor]: Taking taylor expansion of K in U 6.747 * [backup-simplify]: Simplify K into K 6.747 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.747 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.747 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.747 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.747 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.747 * [backup-simplify]: Simplify (- 0) into 0 6.748 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.748 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.748 * [backup-simplify]: Simplify (* 1 1) into 1 6.748 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.748 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.748 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.748 * [taylor]: Taking taylor expansion of 1 in U 6.748 * [backup-simplify]: Simplify 1 into 1 6.748 * [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))) 6.748 * [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))) 6.748 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 6.749 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.749 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.749 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.749 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 6.749 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 6.749 * [taylor]: Taking taylor expansion of 1/4 in J 6.749 * [backup-simplify]: Simplify 1/4 into 1/4 6.749 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 6.749 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.749 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.749 * [taylor]: Taking taylor expansion of 1/4 in J 6.749 * [backup-simplify]: Simplify 1/4 into 1/4 6.749 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.750 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.750 * [taylor]: Taking taylor expansion of J in J 6.750 * [backup-simplify]: Simplify 0 into 0 6.750 * [backup-simplify]: Simplify 1 into 1 6.750 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.750 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.750 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.750 * [taylor]: Taking taylor expansion of 1/2 in J 6.750 * [backup-simplify]: Simplify 1/2 into 1/2 6.750 * [taylor]: Taking taylor expansion of K in J 6.750 * [backup-simplify]: Simplify K into K 6.750 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.750 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.750 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.750 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.750 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.750 * [backup-simplify]: Simplify (- 0) into 0 6.750 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.750 * [backup-simplify]: Simplify (* 1 1) into 1 6.751 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.751 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.751 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.751 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.751 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.751 * [taylor]: Taking taylor expansion of 2 in J 6.751 * [backup-simplify]: Simplify 2 into 2 6.751 * [taylor]: Taking taylor expansion of (log U) in J 6.751 * [taylor]: Taking taylor expansion of U in J 6.751 * [backup-simplify]: Simplify U into U 6.751 * [backup-simplify]: Simplify (log U) into (log U) 6.751 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.751 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.751 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.752 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.752 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.752 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.752 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 6.752 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 6.752 * [taylor]: Taking taylor expansion of 1/4 in K 6.752 * [backup-simplify]: Simplify 1/4 into 1/4 6.752 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 6.752 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 6.752 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 6.752 * [taylor]: Taking taylor expansion of 2 in K 6.752 * [backup-simplify]: Simplify 2 into 2 6.752 * [taylor]: Taking taylor expansion of (log J) in K 6.752 * [taylor]: Taking taylor expansion of J in K 6.752 * [backup-simplify]: Simplify J into J 6.752 * [backup-simplify]: Simplify (log J) into (log J) 6.752 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 6.752 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 6.752 * [taylor]: Taking taylor expansion of 1/4 in K 6.752 * [backup-simplify]: Simplify 1/4 into 1/4 6.752 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.752 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.752 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.752 * [taylor]: Taking taylor expansion of 1/2 in K 6.752 * [backup-simplify]: Simplify 1/2 into 1/2 6.752 * [taylor]: Taking taylor expansion of K in K 6.753 * [backup-simplify]: Simplify 0 into 0 6.753 * [backup-simplify]: Simplify 1 into 1 6.753 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.753 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.753 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.753 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.753 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.753 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 6.754 * [taylor]: Taking taylor expansion of 2 in K 6.754 * [backup-simplify]: Simplify 2 into 2 6.754 * [taylor]: Taking taylor expansion of (log U) in K 6.754 * [taylor]: Taking taylor expansion of U in K 6.754 * [backup-simplify]: Simplify U into U 6.754 * [backup-simplify]: Simplify (log U) into (log U) 6.754 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 6.754 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.754 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.754 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.754 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.755 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.755 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.755 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.756 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.756 * [backup-simplify]: Simplify (+ 0) into 0 6.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.757 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.758 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.758 * [backup-simplify]: Simplify (- 0) into 0 6.759 * [backup-simplify]: Simplify (+ 0 0) into 0 6.759 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.761 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.761 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.762 * [backup-simplify]: Simplify (+ 0 0) into 0 6.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 6.763 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.764 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.765 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.765 * [taylor]: Taking taylor expansion of 0 in J 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [taylor]: Taking taylor expansion of 0 in K 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.766 * [backup-simplify]: Simplify (+ 0) into 0 6.767 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.767 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.768 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.768 * [backup-simplify]: Simplify (- 0) into 0 6.769 * [backup-simplify]: Simplify (+ 0 0) into 0 6.769 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.769 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.769 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.771 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.771 * [backup-simplify]: Simplify (- 0) into 0 6.771 * [backup-simplify]: Simplify (+ 0 0) into 0 6.771 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.772 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.772 * [taylor]: Taking taylor expansion of 0 in K 6.772 * [backup-simplify]: Simplify 0 into 0 6.772 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 6.773 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 6.773 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.773 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.774 * [backup-simplify]: Simplify (+ 0 0) into 0 6.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.775 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.775 * [backup-simplify]: Simplify (- 0) into 0 6.775 * [backup-simplify]: Simplify (+ 0 0) into 0 6.776 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.776 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.776 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.777 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.778 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.778 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.778 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.778 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.779 * [backup-simplify]: Simplify (- 0) into 0 6.779 * [backup-simplify]: Simplify (+ 0 0) into 0 6.780 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.781 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.782 * [backup-simplify]: Simplify (+ 0 1) into 1 6.783 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 6.783 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.784 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 6.785 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 6.785 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 6.785 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 6.785 * [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 6.785 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 6.785 * [taylor]: Taking taylor expansion of 1/4 in J 6.785 * [backup-simplify]: Simplify 1/4 into 1/4 6.785 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 6.785 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.785 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.785 * [taylor]: Taking taylor expansion of 1/4 in J 6.785 * [backup-simplify]: Simplify 1/4 into 1/4 6.785 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.785 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.785 * [taylor]: Taking taylor expansion of J in J 6.785 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify 1 into 1 6.785 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.785 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.785 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.785 * [taylor]: Taking taylor expansion of 1/2 in J 6.785 * [backup-simplify]: Simplify 1/2 into 1/2 6.785 * [taylor]: Taking taylor expansion of K in J 6.785 * [backup-simplify]: Simplify K into K 6.785 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.785 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.785 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.785 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.786 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.786 * [backup-simplify]: Simplify (- 0) into 0 6.786 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.786 * [backup-simplify]: Simplify (* 1 1) into 1 6.786 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.786 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.786 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.786 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.786 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.787 * [taylor]: Taking taylor expansion of 2 in J 6.787 * [backup-simplify]: Simplify 2 into 2 6.787 * [taylor]: Taking taylor expansion of (log U) in J 6.787 * [taylor]: Taking taylor expansion of U in J 6.787 * [backup-simplify]: Simplify U into U 6.787 * [backup-simplify]: Simplify (log U) into (log U) 6.787 * [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)))) 6.787 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.787 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.787 * [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))) 6.787 * [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)))) 6.788 * [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))))) 6.788 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.788 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.788 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.788 * [taylor]: Taking taylor expansion of 1/2 in J 6.788 * [backup-simplify]: Simplify 1/2 into 1/2 6.788 * [taylor]: Taking taylor expansion of K in J 6.788 * [backup-simplify]: Simplify K into K 6.788 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.788 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.788 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.788 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.788 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.788 * [backup-simplify]: Simplify (- 0) into 0 6.788 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.788 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.788 * [taylor]: Taking taylor expansion of J in J 6.788 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify 1 into 1 6.788 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.789 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 6.789 * [backup-simplify]: Simplify (* 1 1) into 1 6.789 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 6.789 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.790 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.790 * [backup-simplify]: Simplify (+ 0) into 0 6.790 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.791 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.791 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.792 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.792 * [backup-simplify]: Simplify (- 0) into 0 6.792 * [backup-simplify]: Simplify (+ 0 0) into 0 6.792 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.793 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.793 * [backup-simplify]: Simplify (- 0) into 0 6.793 * [backup-simplify]: Simplify (+ 0 0) into 0 6.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.794 * [backup-simplify]: Simplify (+ 0) into 0 6.795 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.796 * [backup-simplify]: Simplify (- 0) into 0 6.796 * [backup-simplify]: Simplify (+ 0 0) into 0 6.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.796 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.797 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.801 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.802 * [backup-simplify]: Simplify (- 0) into 0 6.802 * [backup-simplify]: Simplify (+ 0 0) into 0 6.803 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.804 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.805 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.807 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.807 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.808 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.809 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.809 * [backup-simplify]: Simplify (- 0) into 0 6.810 * [backup-simplify]: Simplify (+ 0 0) into 0 6.810 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.811 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.812 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.813 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 6.815 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.816 * [backup-simplify]: Simplify (- 0) into 0 6.817 * [backup-simplify]: Simplify (+ 0 0) into 0 6.818 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.820 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.820 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.822 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 6.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.825 * [taylor]: Taking taylor expansion of 0 in K 6.825 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify 0 into 0 6.825 * [taylor]: Taking taylor expansion of 0 in K 6.825 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.827 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.827 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.827 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.828 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.828 * [backup-simplify]: Simplify (- 0) into 0 6.828 * [backup-simplify]: Simplify (+ 0 0) into 0 6.829 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.829 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.831 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 6.832 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.832 * [backup-simplify]: Simplify (- 0) into 0 6.833 * [backup-simplify]: Simplify (+ 0 0) into 0 6.833 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.834 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.834 * [taylor]: Taking taylor expansion of 0 in K 6.834 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 6.835 * [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) 6.835 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0 6.835 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 6.835 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 6.835 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 6.835 * [taylor]: Taking taylor expansion of 1/4 in K 6.835 * [backup-simplify]: Simplify 1/4 into 1/4 6.835 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.835 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.835 * [taylor]: Taking taylor expansion of 1 in K 6.835 * [backup-simplify]: Simplify 1 into 1 6.835 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.835 * [taylor]: Taking taylor expansion of 1/4 in K 6.835 * [backup-simplify]: Simplify 1/4 into 1/4 6.835 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.835 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.835 * [taylor]: Taking taylor expansion of J in K 6.835 * [backup-simplify]: Simplify J into J 6.835 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.835 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.835 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.835 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.835 * [taylor]: Taking taylor expansion of -1/2 in K 6.835 * [backup-simplify]: Simplify -1/2 into -1/2 6.835 * [taylor]: Taking taylor expansion of K in K 6.835 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify 1 into 1 6.836 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.836 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.836 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.836 * [taylor]: Taking taylor expansion of U in K 6.836 * [backup-simplify]: Simplify U into U 6.836 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.836 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.836 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.836 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.836 * [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))) 6.836 * [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)))) 6.836 * [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))))) 6.837 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.837 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 6.837 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 6.837 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 6.837 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.837 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.837 * [taylor]: Taking taylor expansion of 1/4 in J 6.837 * [backup-simplify]: Simplify 1/4 into 1/4 6.837 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.837 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.837 * [taylor]: Taking taylor expansion of 1 in J 6.837 * [backup-simplify]: Simplify 1 into 1 6.837 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.837 * [taylor]: Taking taylor expansion of 1/4 in J 6.837 * [backup-simplify]: Simplify 1/4 into 1/4 6.837 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.837 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.837 * [taylor]: Taking taylor expansion of J in J 6.837 * [backup-simplify]: Simplify 0 into 0 6.837 * [backup-simplify]: Simplify 1 into 1 6.837 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.837 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.837 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.837 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.838 * [taylor]: Taking taylor expansion of -1/2 in J 6.838 * [backup-simplify]: Simplify -1/2 into -1/2 6.838 * [taylor]: Taking taylor expansion of K in J 6.838 * [backup-simplify]: Simplify K into K 6.838 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.838 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.838 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.838 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.838 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.838 * [backup-simplify]: Simplify (- 0) into 0 6.838 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.838 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.838 * [taylor]: Taking taylor expansion of U in J 6.838 * [backup-simplify]: Simplify U into U 6.838 * [backup-simplify]: Simplify (* 1 1) into 1 6.839 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.839 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.839 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.839 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.839 * [backup-simplify]: Simplify (+ 1 0) into 1 6.839 * [backup-simplify]: Simplify (log 1) into 0 6.840 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.840 * [backup-simplify]: Simplify (+ 0 0) into 0 6.841 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.841 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.841 * [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))) 6.841 * [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)))) 6.842 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.843 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.843 * [backup-simplify]: Simplify (exp 0) into 1 6.843 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 6.843 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.843 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.843 * [taylor]: Taking taylor expansion of 1/4 in U 6.843 * [backup-simplify]: Simplify 1/4 into 1/4 6.843 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.843 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.843 * [taylor]: Taking taylor expansion of 1 in U 6.843 * [backup-simplify]: Simplify 1 into 1 6.843 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.843 * [taylor]: Taking taylor expansion of 1/4 in U 6.843 * [backup-simplify]: Simplify 1/4 into 1/4 6.843 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.843 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.843 * [taylor]: Taking taylor expansion of J in U 6.843 * [backup-simplify]: Simplify J into J 6.843 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.843 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.843 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.843 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.843 * [taylor]: Taking taylor expansion of -1/2 in U 6.843 * [backup-simplify]: Simplify -1/2 into -1/2 6.843 * [taylor]: Taking taylor expansion of K in U 6.843 * [backup-simplify]: Simplify K into K 6.843 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.843 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.843 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.843 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.844 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.844 * [backup-simplify]: Simplify (- 0) into 0 6.844 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.844 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.844 * [taylor]: Taking taylor expansion of U in U 6.844 * [backup-simplify]: Simplify 0 into 0 6.844 * [backup-simplify]: Simplify 1 into 1 6.844 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.844 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.844 * [backup-simplify]: Simplify (* 1 1) into 1 6.844 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.844 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.845 * [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))) 6.845 * [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))) 6.845 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 6.845 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.845 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.846 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.846 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 6.846 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.846 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.846 * [taylor]: Taking taylor expansion of 1/4 in U 6.846 * [backup-simplify]: Simplify 1/4 into 1/4 6.846 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.846 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.846 * [taylor]: Taking taylor expansion of 1 in U 6.846 * [backup-simplify]: Simplify 1 into 1 6.846 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.846 * [taylor]: Taking taylor expansion of 1/4 in U 6.846 * [backup-simplify]: Simplify 1/4 into 1/4 6.846 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.846 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.846 * [taylor]: Taking taylor expansion of J in U 6.846 * [backup-simplify]: Simplify J into J 6.846 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.846 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.846 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.846 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.846 * [taylor]: Taking taylor expansion of -1/2 in U 6.846 * [backup-simplify]: Simplify -1/2 into -1/2 6.846 * [taylor]: Taking taylor expansion of K in U 6.846 * [backup-simplify]: Simplify K into K 6.846 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.846 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.846 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.846 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.846 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.846 * [backup-simplify]: Simplify (- 0) into 0 6.847 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.847 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.847 * [taylor]: Taking taylor expansion of U in U 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify 1 into 1 6.847 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.847 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.847 * [backup-simplify]: Simplify (* 1 1) into 1 6.847 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.847 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.847 * [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))) 6.847 * [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))) 6.848 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 6.848 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.848 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.848 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.848 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 6.848 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 6.848 * [taylor]: Taking taylor expansion of 1/4 in J 6.848 * [backup-simplify]: Simplify 1/4 into 1/4 6.848 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 6.848 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 6.849 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.849 * [taylor]: Taking taylor expansion of 1/4 in J 6.849 * [backup-simplify]: Simplify 1/4 into 1/4 6.849 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.849 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.849 * [taylor]: Taking taylor expansion of J in J 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify 1 into 1 6.849 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.849 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.849 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.849 * [taylor]: Taking taylor expansion of -1/2 in J 6.849 * [backup-simplify]: Simplify -1/2 into -1/2 6.849 * [taylor]: Taking taylor expansion of K in J 6.849 * [backup-simplify]: Simplify K into K 6.849 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.849 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.849 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.849 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.849 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.849 * [backup-simplify]: Simplify (- 0) into 0 6.849 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.850 * [backup-simplify]: Simplify (* 1 1) into 1 6.850 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.850 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.850 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.850 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.850 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.850 * [taylor]: Taking taylor expansion of 2 in J 6.850 * [backup-simplify]: Simplify 2 into 2 6.850 * [taylor]: Taking taylor expansion of (log U) in J 6.850 * [taylor]: Taking taylor expansion of U in J 6.850 * [backup-simplify]: Simplify U into U 6.850 * [backup-simplify]: Simplify (log U) into (log U) 6.850 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.850 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.850 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.851 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.851 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.851 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.851 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 6.851 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 6.851 * [taylor]: Taking taylor expansion of 1/4 in K 6.851 * [backup-simplify]: Simplify 1/4 into 1/4 6.851 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 6.851 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 6.851 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 6.851 * [taylor]: Taking taylor expansion of 2 in K 6.851 * [backup-simplify]: Simplify 2 into 2 6.851 * [taylor]: Taking taylor expansion of (log J) in K 6.851 * [taylor]: Taking taylor expansion of J in K 6.851 * [backup-simplify]: Simplify J into J 6.851 * [backup-simplify]: Simplify (log J) into (log J) 6.851 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 6.851 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 6.851 * [taylor]: Taking taylor expansion of 1/4 in K 6.851 * [backup-simplify]: Simplify 1/4 into 1/4 6.851 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.851 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.851 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.851 * [taylor]: Taking taylor expansion of -1/2 in K 6.851 * [backup-simplify]: Simplify -1/2 into -1/2 6.851 * [taylor]: Taking taylor expansion of K in K 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 1 into 1 6.852 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.852 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.852 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.852 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.852 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 6.852 * [taylor]: Taking taylor expansion of 2 in K 6.852 * [backup-simplify]: Simplify 2 into 2 6.852 * [taylor]: Taking taylor expansion of (log U) in K 6.852 * [taylor]: Taking taylor expansion of U in K 6.852 * [backup-simplify]: Simplify U into U 6.852 * [backup-simplify]: Simplify (log U) into (log U) 6.852 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 6.852 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.852 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.852 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.853 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.853 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.853 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.853 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.853 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.854 * [backup-simplify]: Simplify (+ 0) into 0 6.854 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.854 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.855 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.855 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.855 * [backup-simplify]: Simplify (- 0) into 0 6.855 * [backup-simplify]: Simplify (+ 0 0) into 0 6.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.856 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.856 * [backup-simplify]: 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 6.857 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.857 * [backup-simplify]: Simplify (+ 0 0) into 0 6.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 6.858 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.858 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.859 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.859 * [taylor]: Taking taylor expansion of 0 in J 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [taylor]: Taking taylor expansion of 0 in K 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.860 * [backup-simplify]: Simplify (+ 0) into 0 6.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.860 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.861 * [backup-simplify]: Simplify (- 0) into 0 6.861 * [backup-simplify]: Simplify (+ 0 0) into 0 6.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.862 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.862 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.863 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.863 * [backup-simplify]: Simplify (- 0) into 0 6.864 * [backup-simplify]: Simplify (+ 0 0) into 0 6.864 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.865 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.865 * [taylor]: Taking taylor expansion of 0 in K 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 6.867 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 6.867 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.867 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.868 * [backup-simplify]: Simplify (+ 0 0) into 0 6.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.870 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.870 * [backup-simplify]: Simplify (- 0) into 0 6.870 * [backup-simplify]: Simplify (+ 0 0) into 0 6.871 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.872 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.872 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.875 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.876 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.876 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.877 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.877 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.877 * [backup-simplify]: Simplify (- 0) into 0 6.878 * [backup-simplify]: Simplify (+ 0 0) into 0 6.878 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.879 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.880 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.881 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.881 * [backup-simplify]: Simplify (+ 1 0) into 1 6.883 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 6.884 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.885 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 6.886 * [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)) 6.886 * [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 6.887 * [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 6.887 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.887 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.887 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.887 * [taylor]: Taking taylor expansion of -1/2 in J 6.887 * [backup-simplify]: Simplify -1/2 into -1/2 6.887 * [taylor]: Taking taylor expansion of K in J 6.887 * [backup-simplify]: Simplify K into K 6.887 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.887 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.887 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.887 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.887 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.888 * [backup-simplify]: Simplify (- 0) into 0 6.888 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.888 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 6.888 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 6.888 * [taylor]: Taking taylor expansion of 1/4 in J 6.888 * [backup-simplify]: Simplify 1/4 into 1/4 6.888 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 6.888 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 6.888 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.888 * [taylor]: Taking taylor expansion of 1/4 in J 6.888 * [backup-simplify]: Simplify 1/4 into 1/4 6.888 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.888 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.888 * [taylor]: Taking taylor expansion of J in J 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 1 into 1 6.888 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.888 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.888 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.888 * [taylor]: Taking taylor expansion of -1/2 in J 6.888 * [backup-simplify]: Simplify -1/2 into -1/2 6.888 * [taylor]: Taking taylor expansion of K in J 6.888 * [backup-simplify]: Simplify K into K 6.888 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.888 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.888 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.889 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.889 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.889 * [backup-simplify]: Simplify (- 0) into 0 6.889 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.889 * [backup-simplify]: Simplify (* 1 1) into 1 6.890 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.890 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.890 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.890 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.890 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.890 * [taylor]: Taking taylor expansion of 2 in J 6.890 * [backup-simplify]: Simplify 2 into 2 6.890 * [taylor]: Taking taylor expansion of (log U) in J 6.890 * [taylor]: Taking taylor expansion of U in J 6.890 * [backup-simplify]: Simplify U into U 6.890 * [backup-simplify]: Simplify (log U) into (log U) 6.891 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.891 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.891 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.891 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.891 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.892 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.892 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.892 * [taylor]: Taking taylor expansion of J in J 6.892 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify 1 into 1 6.892 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.893 * [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)))))) 6.893 * [backup-simplify]: Simplify (* 1 1) into 1 6.893 * [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)))))) 6.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.895 * [backup-simplify]: Simplify (+ 0) into 0 6.895 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.895 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.897 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.897 * [backup-simplify]: Simplify (- 0) into 0 6.897 * [backup-simplify]: Simplify (+ 0 0) into 0 6.897 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.898 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.898 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.901 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.901 * [backup-simplify]: Simplify (- 0) into 0 6.901 * [backup-simplify]: Simplify (+ 0 0) into 0 6.902 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.904 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.905 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.906 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.907 * [backup-simplify]: Simplify (- 0) into 0 6.907 * [backup-simplify]: Simplify (+ 0 0) into 0 6.907 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.908 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.909 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 6.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 6.912 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.914 * [backup-simplify]: Simplify (- 0) into 0 6.914 * [backup-simplify]: Simplify (+ 0 0) into 0 6.915 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.917 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.917 * [backup-simplify]: Simplify (+ 0) into 0 6.918 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.918 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.919 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.919 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.920 * [backup-simplify]: Simplify (- 0) into 0 6.920 * [backup-simplify]: Simplify (+ 0 0) into 0 6.920 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.922 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.924 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.928 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.928 * [backup-simplify]: Simplify (- 0) into 0 6.929 * [backup-simplify]: Simplify (+ 0 0) into 0 6.929 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.930 * [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 6.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.932 * [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 6.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.934 * [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 6.935 * [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 6.936 * [taylor]: Taking taylor expansion of 0 in K 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [taylor]: Taking taylor expansion of 0 in K 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.937 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.938 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.938 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.938 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.939 * [backup-simplify]: Simplify (- 0) into 0 6.939 * [backup-simplify]: Simplify (+ 0 0) into 0 6.939 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.939 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.940 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 6.941 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 6.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.943 * [backup-simplify]: Simplify (- 0) into 0 6.943 * [backup-simplify]: Simplify (+ 0 0) into 0 6.944 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.945 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.945 * [taylor]: Taking taylor expansion of 0 in K 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 6.945 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 6.945 * [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) 6.945 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 6.945 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 6.946 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 6.946 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 6.946 * [taylor]: Taking taylor expansion of 1/4 in K 6.946 * [backup-simplify]: Simplify 1/4 into 1/4 6.946 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.946 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.946 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.946 * [taylor]: Taking taylor expansion of 1/4 in K 6.946 * [backup-simplify]: Simplify 1/4 into 1/4 6.946 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.946 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.946 * [taylor]: Taking taylor expansion of U in K 6.946 * [backup-simplify]: Simplify U into U 6.946 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.946 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.946 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.946 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.946 * [taylor]: Taking taylor expansion of 1/2 in K 6.946 * [backup-simplify]: Simplify 1/2 into 1/2 6.946 * [taylor]: Taking taylor expansion of K in K 6.946 * [backup-simplify]: Simplify 0 into 0 6.946 * [backup-simplify]: Simplify 1 into 1 6.946 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.947 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.947 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.947 * [taylor]: Taking taylor expansion of J in K 6.947 * [backup-simplify]: Simplify J into J 6.947 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.947 * [backup-simplify]: Simplify (* 1 1) into 1 6.947 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.947 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.947 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.947 * [taylor]: Taking taylor expansion of 1 in K 6.947 * [backup-simplify]: Simplify 1 into 1 6.947 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.947 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.947 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.948 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 6.948 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 6.948 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 6.948 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.948 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.948 * [taylor]: Taking taylor expansion of 1/4 in J 6.948 * [backup-simplify]: Simplify 1/4 into 1/4 6.948 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.948 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.948 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.948 * [taylor]: Taking taylor expansion of 1/4 in J 6.948 * [backup-simplify]: Simplify 1/4 into 1/4 6.948 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.948 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.948 * [taylor]: Taking taylor expansion of U in J 6.948 * [backup-simplify]: Simplify U into U 6.948 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.948 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.948 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.948 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.948 * [taylor]: Taking taylor expansion of 1/2 in J 6.948 * [backup-simplify]: Simplify 1/2 into 1/2 6.948 * [taylor]: Taking taylor expansion of K in J 6.948 * [backup-simplify]: Simplify K into K 6.948 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.948 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.948 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.948 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.948 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.949 * [backup-simplify]: Simplify (- 0) into 0 6.949 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.949 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.949 * [taylor]: Taking taylor expansion of J in J 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 1 into 1 6.949 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.949 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.949 * [backup-simplify]: Simplify (* 1 1) into 1 6.949 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.949 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.949 * [taylor]: Taking taylor expansion of 1 in J 6.949 * [backup-simplify]: Simplify 1 into 1 6.949 * [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))) 6.950 * [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))) 6.950 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 6.950 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 6.950 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 6.950 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 6.950 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 6.950 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.951 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.951 * [taylor]: Taking taylor expansion of 1/4 in U 6.951 * [backup-simplify]: Simplify 1/4 into 1/4 6.951 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.951 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.951 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.951 * [taylor]: Taking taylor expansion of 1/4 in U 6.951 * [backup-simplify]: Simplify 1/4 into 1/4 6.951 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.951 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.951 * [taylor]: Taking taylor expansion of U in U 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 1 into 1 6.951 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.951 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.951 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.951 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.951 * [taylor]: Taking taylor expansion of 1/2 in U 6.951 * [backup-simplify]: Simplify 1/2 into 1/2 6.951 * [taylor]: Taking taylor expansion of K in U 6.951 * [backup-simplify]: Simplify K into K 6.951 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.951 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.951 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.951 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.951 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.951 * [backup-simplify]: Simplify (- 0) into 0 6.951 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.951 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.951 * [taylor]: Taking taylor expansion of J in U 6.951 * [backup-simplify]: Simplify J into J 6.952 * [backup-simplify]: Simplify (* 1 1) into 1 6.952 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.952 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.952 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.952 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.952 * [taylor]: Taking taylor expansion of 1 in U 6.952 * [backup-simplify]: Simplify 1 into 1 6.952 * [backup-simplify]: Simplify (+ 0 1) into 1 6.953 * [backup-simplify]: Simplify (log 1) into 0 6.953 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.953 * [backup-simplify]: Simplify (+ 0 0) into 0 6.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.954 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.954 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.954 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.956 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.956 * [backup-simplify]: Simplify (exp 0) into 1 6.956 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 6.956 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.956 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.956 * [taylor]: Taking taylor expansion of 1/4 in U 6.956 * [backup-simplify]: Simplify 1/4 into 1/4 6.956 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.956 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.956 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.956 * [taylor]: Taking taylor expansion of 1/4 in U 6.956 * [backup-simplify]: Simplify 1/4 into 1/4 6.956 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.956 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.956 * [taylor]: Taking taylor expansion of U in U 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify 1 into 1 6.956 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.956 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.956 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.956 * [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 * [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 * [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 * [backup-simplify]: Simplify (* 1 1) into 1 6.957 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.958 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.958 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.958 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.958 * [taylor]: Taking taylor expansion of 1 in U 6.958 * [backup-simplify]: Simplify 1 into 1 6.958 * [backup-simplify]: Simplify (+ 0 1) into 1 6.958 * [backup-simplify]: Simplify (log 1) into 0 6.959 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.959 * [backup-simplify]: Simplify (+ 0 0) into 0 6.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.960 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.960 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.960 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.961 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.962 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.962 * [backup-simplify]: Simplify (exp 0) into 1 6.962 * [taylor]: Taking taylor expansion of 1 in J 6.962 * [backup-simplify]: Simplify 1 into 1 6.962 * [taylor]: Taking taylor expansion of 1 in K 6.962 * [backup-simplify]: Simplify 1 into 1 6.962 * [backup-simplify]: Simplify 1 into 1 6.963 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 6.963 * [taylor]: Taking taylor expansion of 0 in J 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [taylor]: Taking taylor expansion of 0 in K 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [taylor]: Taking taylor expansion of 0 in K 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.963 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.964 * [taylor]: Taking taylor expansion of 1/16 in J 6.964 * [backup-simplify]: Simplify 1/16 into 1/16 6.964 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 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 6.964 * [backup-simplify]: Simplify (- 0) into 0 6.964 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 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 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.965 * [backup-simplify]: Simplify (* 1 1) into 1 6.965 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.965 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 6.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.966 * [backup-simplify]: Simplify (+ 0) into 0 6.966 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.967 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.967 * [backup-simplify]: Simplify (- 0) into 0 6.968 * [backup-simplify]: Simplify (+ 0 0) into 0 6.968 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.969 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.969 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.970 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.970 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.970 * [backup-simplify]: Simplify (- 0) into 0 6.971 * [backup-simplify]: Simplify (+ 0 0) into 0 6.971 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.971 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.972 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.972 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.972 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.972 * [taylor]: Taking taylor expansion of 0 in K 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [taylor]: Taking taylor expansion of 0 in K 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [taylor]: Taking taylor expansion of 0 in K 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify 1 into 1 6.973 * [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) 6.973 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 6.973 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 6.973 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 6.973 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 6.973 * [taylor]: Taking taylor expansion of 1/4 in K 6.973 * [backup-simplify]: Simplify 1/4 into 1/4 6.973 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.973 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.973 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.973 * [taylor]: Taking taylor expansion of 1/4 in K 6.973 * [backup-simplify]: Simplify 1/4 into 1/4 6.973 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.973 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.973 * [taylor]: Taking taylor expansion of J in K 6.973 * [backup-simplify]: Simplify J into J 6.973 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.973 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.973 * [taylor]: Taking taylor expansion of U in K 6.973 * [backup-simplify]: Simplify U into U 6.973 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.973 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.973 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.973 * [taylor]: Taking taylor expansion of 1/2 in K 6.973 * [backup-simplify]: Simplify 1/2 into 1/2 6.973 * [taylor]: Taking taylor expansion of K in K 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 1 into 1 6.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.974 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.974 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.974 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.974 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.974 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.974 * [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))) 6.974 * [taylor]: Taking taylor expansion of 1 in K 6.974 * [backup-simplify]: Simplify 1 into 1 6.974 * [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)))) 6.974 * [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) 6.975 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.975 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 6.975 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 6.975 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 6.975 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 6.975 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 6.975 * [taylor]: Taking taylor expansion of 1/4 in J 6.975 * [backup-simplify]: Simplify 1/4 into 1/4 6.975 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.975 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.975 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.975 * [taylor]: Taking taylor expansion of 1/4 in J 6.975 * [backup-simplify]: Simplify 1/4 into 1/4 6.975 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.975 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.975 * [taylor]: Taking taylor expansion of J in J 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 1 into 1 6.975 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.975 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.975 * [taylor]: Taking taylor expansion of U in J 6.975 * [backup-simplify]: Simplify U into U 6.975 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.975 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.975 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.975 * [taylor]: Taking taylor expansion of 1/2 in J 6.975 * [backup-simplify]: Simplify 1/2 into 1/2 6.975 * [taylor]: Taking taylor expansion of K in J 6.975 * [backup-simplify]: Simplify K into K 6.976 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.976 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.976 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.976 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.976 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.976 * [backup-simplify]: Simplify (- 0) into 0 6.976 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.976 * [backup-simplify]: Simplify (* 1 1) into 1 6.976 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.976 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.977 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.977 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.977 * [taylor]: Taking taylor expansion of 1 in J 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify (+ 0 1) into 1 6.977 * [backup-simplify]: Simplify (log 1) into 0 6.977 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.978 * [backup-simplify]: Simplify (+ 0 0) into 0 6.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.979 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.979 * [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))) 6.979 * [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)))) 6.980 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.981 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.981 * [backup-simplify]: Simplify (exp 0) into 1 6.981 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 6.981 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 6.981 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 6.981 * [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 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.981 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.981 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 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 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.981 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.981 * [taylor]: Taking taylor expansion of J in U 6.981 * [backup-simplify]: Simplify J into J 6.981 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.981 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.981 * [taylor]: Taking taylor expansion of U in U 6.981 * [backup-simplify]: Simplify 0 into 0 6.981 * [backup-simplify]: Simplify 1 into 1 6.981 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 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 6.981 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.981 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.981 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.981 * [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 (* J J) into (pow J 2) 6.982 * [backup-simplify]: Simplify (* 1 1) into 1 6.982 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.982 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.982 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.982 * [taylor]: Taking taylor expansion of 1 in U 6.982 * [backup-simplify]: Simplify 1 into 1 6.983 * [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))) 6.983 * [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))) 6.983 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 6.983 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.983 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.984 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.984 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 6.984 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 6.984 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 6.984 * [taylor]: Taking taylor expansion of 1/4 in U 6.984 * [backup-simplify]: Simplify 1/4 into 1/4 6.984 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.984 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.984 * [taylor]: Taking taylor expansion of 1/4 in U 6.984 * [backup-simplify]: Simplify 1/4 into 1/4 6.984 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.984 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.984 * [taylor]: Taking taylor expansion of J in U 6.984 * [backup-simplify]: Simplify J into J 6.984 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.984 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.984 * [taylor]: Taking taylor expansion of U in U 6.984 * [backup-simplify]: Simplify 0 into 0 6.984 * [backup-simplify]: Simplify 1 into 1 6.984 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.984 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.984 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.984 * [taylor]: Taking taylor expansion of 1/2 in U 6.984 * [backup-simplify]: Simplify 1/2 into 1/2 6.984 * [taylor]: Taking taylor expansion of K in U 6.984 * [backup-simplify]: Simplify K into K 6.984 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.984 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.984 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.984 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.984 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.985 * [backup-simplify]: Simplify (- 0) into 0 6.985 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.985 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.985 * [backup-simplify]: Simplify (* 1 1) into 1 6.985 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.985 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.986 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.986 * [taylor]: Taking taylor expansion of 1 in U 6.986 * [backup-simplify]: Simplify 1 into 1 6.986 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.986 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.986 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 6.987 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.987 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.988 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.988 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 6.988 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 6.988 * [taylor]: Taking taylor expansion of 1/4 in J 6.988 * [backup-simplify]: Simplify 1/4 into 1/4 6.988 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 6.988 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.988 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.988 * [taylor]: Taking taylor expansion of 1/4 in J 6.988 * [backup-simplify]: Simplify 1/4 into 1/4 6.988 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.988 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.988 * [taylor]: Taking taylor expansion of J in J 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 1 into 1 6.988 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.988 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.988 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.988 * [taylor]: Taking taylor expansion of 1/2 in J 6.988 * [backup-simplify]: Simplify 1/2 into 1/2 6.988 * [taylor]: Taking taylor expansion of K in J 6.988 * [backup-simplify]: Simplify K into K 6.988 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.988 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.988 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.989 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.989 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.989 * [backup-simplify]: Simplify (- 0) into 0 6.989 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.989 * [backup-simplify]: Simplify (* 1 1) into 1 6.990 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.990 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.990 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.990 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.990 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.990 * [taylor]: Taking taylor expansion of 2 in J 6.990 * [backup-simplify]: Simplify 2 into 2 6.990 * [taylor]: Taking taylor expansion of (log U) in J 6.990 * [taylor]: Taking taylor expansion of U in J 6.990 * [backup-simplify]: Simplify U into U 6.990 * [backup-simplify]: Simplify (log U) into (log U) 6.991 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.991 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.991 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.992 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.992 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.992 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.992 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 6.992 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 6.992 * [taylor]: Taking taylor expansion of 1/4 in K 6.992 * [backup-simplify]: Simplify 1/4 into 1/4 6.992 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 6.992 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 6.992 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 6.992 * [taylor]: Taking taylor expansion of 2 in K 6.992 * [backup-simplify]: Simplify 2 into 2 6.992 * [taylor]: Taking taylor expansion of (log J) in K 6.993 * [taylor]: Taking taylor expansion of J in K 6.993 * [backup-simplify]: Simplify J into J 6.993 * [backup-simplify]: Simplify (log J) into (log J) 6.993 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 6.993 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 6.993 * [taylor]: Taking taylor expansion of 1/4 in K 6.993 * [backup-simplify]: Simplify 1/4 into 1/4 6.993 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.993 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.993 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.993 * [taylor]: Taking taylor expansion of 1/2 in K 6.993 * [backup-simplify]: Simplify 1/2 into 1/2 6.993 * [taylor]: Taking taylor expansion of K in K 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 1 into 1 6.993 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.993 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.994 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.994 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.994 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.994 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 6.994 * [taylor]: Taking taylor expansion of 2 in K 6.994 * [backup-simplify]: Simplify 2 into 2 6.994 * [taylor]: Taking taylor expansion of (log U) in K 6.994 * [taylor]: Taking taylor expansion of U in K 6.994 * [backup-simplify]: Simplify U into U 6.994 * [backup-simplify]: Simplify (log U) into (log U) 6.994 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 6.994 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.994 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.995 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.995 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.995 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.996 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.996 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.996 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.997 * [backup-simplify]: Simplify (+ 0) into 0 6.997 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.997 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.999 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.999 * [backup-simplify]: Simplify (- 0) into 0 7.000 * [backup-simplify]: Simplify (+ 0 0) into 0 7.000 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.001 * [backup-simplify]: 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 7.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.002 * [backup-simplify]: Simplify (+ 0 0) into 0 7.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 7.004 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 7.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 7.006 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.006 * [taylor]: Taking taylor expansion of 0 in J 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [taylor]: Taking taylor expansion of 0 in K 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.007 * [backup-simplify]: Simplify (+ 0) into 0 7.007 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.008 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.008 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.009 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.009 * [backup-simplify]: Simplify (- 0) into 0 7.010 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.010 * [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 7.011 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 7.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 7.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.013 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.013 * [backup-simplify]: Simplify (- 0) into 0 7.013 * [backup-simplify]: Simplify (+ 0 0) into 0 7.014 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 7.015 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.015 * [taylor]: Taking taylor expansion of 0 in K 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 7.016 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 7.016 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.017 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 7.017 * [backup-simplify]: Simplify (+ 0 0) into 0 7.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.018 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.018 * [backup-simplify]: Simplify (- 0) into 0 7.019 * [backup-simplify]: Simplify (+ 0 0) into 0 7.019 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 7.020 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.020 * [backup-simplify]: Simplify 0 into 0 7.020 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.021 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.021 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.022 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.022 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 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 0) (* 0 (cos (/ 1/2 K))))) into 0 7.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.024 * [backup-simplify]: 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 7.025 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.025 * [backup-simplify]: Simplify (+ 0 1) into 1 7.026 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 7.026 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 7.027 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 7.028 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 7.028 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 7.028 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 7.028 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 7.028 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 7.028 * [taylor]: Taking taylor expansion of 1/4 in J 7.028 * [backup-simplify]: Simplify 1/4 into 1/4 7.028 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 7.028 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.028 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 7.028 * [taylor]: Taking taylor expansion of 1/4 in J 7.028 * [backup-simplify]: Simplify 1/4 into 1/4 7.028 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 7.028 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.028 * [taylor]: Taking taylor expansion of J in J 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 1 into 1 7.028 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.028 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.028 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.028 * [taylor]: Taking taylor expansion of 1/2 in J 7.028 * [backup-simplify]: Simplify 1/2 into 1/2 7.028 * [taylor]: Taking taylor expansion of K in J 7.028 * [backup-simplify]: Simplify K into K 7.028 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.028 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.028 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.028 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.028 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.029 * [backup-simplify]: Simplify (- 0) into 0 7.029 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.029 * [backup-simplify]: Simplify (* 1 1) into 1 7.029 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.029 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 7.029 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 7.029 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 7.029 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 7.029 * [taylor]: Taking taylor expansion of 2 in J 7.029 * [backup-simplify]: Simplify 2 into 2 7.029 * [taylor]: Taking taylor expansion of (log U) in J 7.029 * [taylor]: Taking taylor expansion of U in J 7.029 * [backup-simplify]: Simplify U into U 7.029 * [backup-simplify]: Simplify (log U) into (log U) 7.030 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 7.030 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.030 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.030 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 7.030 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 7.030 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 7.030 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.030 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.030 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.030 * [taylor]: Taking taylor expansion of 1/2 in J 7.030 * [backup-simplify]: Simplify 1/2 into 1/2 7.030 * [taylor]: Taking taylor expansion of K in J 7.030 * [backup-simplify]: Simplify K into K 7.031 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.031 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.031 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.031 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.031 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.031 * [backup-simplify]: Simplify (- 0) into 0 7.031 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.031 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.031 * [taylor]: Taking taylor expansion of J in J 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 1 into 1 7.031 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.031 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 7.032 * [backup-simplify]: Simplify (* 1 1) into 1 7.032 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 7.032 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.033 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.033 * [backup-simplify]: Simplify (+ 0) into 0 7.033 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.033 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.034 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.036 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.037 * [backup-simplify]: Simplify (- 0) into 0 7.037 * [backup-simplify]: Simplify (+ 0 0) into 0 7.037 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.037 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.038 * [backup-simplify]: Simplify (- 0) into 0 7.038 * [backup-simplify]: Simplify (+ 0 0) into 0 7.038 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.039 * [backup-simplify]: Simplify (+ 0) into 0 7.039 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.039 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.040 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.040 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.040 * [backup-simplify]: Simplify (- 0) into 0 7.041 * [backup-simplify]: Simplify (+ 0 0) into 0 7.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.041 * [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 7.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 7.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 7.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.043 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.043 * [backup-simplify]: Simplify (- 0) into 0 7.043 * [backup-simplify]: Simplify (+ 0 0) into 0 7.043 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 7.044 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.044 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.045 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.046 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.046 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.046 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.047 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.047 * [backup-simplify]: Simplify (- 0) into 0 7.047 * [backup-simplify]: Simplify (+ 0 0) into 0 7.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.048 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.048 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 7.049 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 7.050 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 7.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 7.051 * [backup-simplify]: Simplify (- 0) into 0 7.052 * [backup-simplify]: Simplify (+ 0 0) into 0 7.052 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 7.054 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.055 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.056 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 7.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.060 * [taylor]: Taking taylor expansion of 0 in K 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [taylor]: Taking taylor expansion of 0 in K 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.062 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.063 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.063 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.065 * [backup-simplify]: Simplify (- 0) into 0 7.065 * [backup-simplify]: Simplify (+ 0 0) into 0 7.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.066 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.067 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 7.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 7.070 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 7.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 7.072 * [backup-simplify]: Simplify (- 0) into 0 7.072 * [backup-simplify]: Simplify (+ 0 0) into 0 7.073 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 7.075 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.075 * [taylor]: Taking taylor expansion of 0 in K 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 7.076 * [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) 7.076 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0 7.076 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 7.076 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 7.076 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 7.076 * [taylor]: Taking taylor expansion of 1/4 in K 7.076 * [backup-simplify]: Simplify 1/4 into 1/4 7.076 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 7.076 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 7.076 * [taylor]: Taking taylor expansion of 1 in K 7.076 * [backup-simplify]: Simplify 1 into 1 7.076 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 7.076 * [taylor]: Taking taylor expansion of 1/4 in K 7.076 * [backup-simplify]: Simplify 1/4 into 1/4 7.076 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 7.076 * [taylor]: Taking taylor expansion of (pow J 2) 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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 7.076 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 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 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 1 into 1 7.077 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.077 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.077 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.077 * [taylor]: Taking taylor expansion of U in K 7.077 * [backup-simplify]: Simplify U into U 7.077 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.077 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.077 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.078 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.078 * [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))) 7.078 * [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)))) 7.078 * [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))))) 7.079 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 7.079 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 7.080 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 7.080 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 7.080 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 7.080 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 7.080 * [taylor]: Taking taylor expansion of 1/4 in J 7.080 * [backup-simplify]: Simplify 1/4 into 1/4 7.080 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 7.080 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 7.080 * [taylor]: Taking taylor expansion of 1 in J 7.080 * [backup-simplify]: Simplify 1 into 1 7.080 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 7.080 * [taylor]: Taking taylor expansion of 1/4 in J 7.080 * [backup-simplify]: Simplify 1/4 into 1/4 7.080 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 7.080 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.080 * [taylor]: Taking taylor expansion of J in J 7.080 * [backup-simplify]: Simplify 0 into 0 7.080 * [backup-simplify]: Simplify 1 into 1 7.080 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 7.080 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.080 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.080 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.080 * [taylor]: Taking taylor expansion of -1/2 in J 7.080 * [backup-simplify]: Simplify -1/2 into -1/2 7.080 * [taylor]: Taking taylor expansion of K in J 7.080 * [backup-simplify]: Simplify K into K 7.081 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.081 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.081 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.081 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.081 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.081 * [backup-simplify]: Simplify (- 0) into 0 7.081 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.082 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.082 * [taylor]: Taking taylor expansion of U in J 7.082 * [backup-simplify]: Simplify U into U 7.082 * [backup-simplify]: Simplify (* 1 1) into 1 7.082 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.082 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.082 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.083 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.083 * [backup-simplify]: Simplify (+ 1 0) into 1 7.083 * [backup-simplify]: Simplify (log 1) into 0 7.084 * [backup-simplify]: Simplify (* 1/4 0) into 0 7.084 * [backup-simplify]: Simplify (+ 0 0) into 0 7.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 7.087 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.087 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 7.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.090 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 7.090 * [backup-simplify]: Simplify (exp 0) into 1 7.090 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 7.090 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 7.090 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 7.090 * [taylor]: Taking taylor expansion of 1/4 in U 7.090 * [backup-simplify]: Simplify 1/4 into 1/4 7.090 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.090 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.090 * [taylor]: Taking taylor expansion of 1 in U 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.090 * [taylor]: Taking taylor expansion of 1/4 in U 7.090 * [backup-simplify]: Simplify 1/4 into 1/4 7.090 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.090 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.090 * [taylor]: Taking taylor expansion of J in U 7.090 * [backup-simplify]: Simplify J into J 7.090 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.090 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.090 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.090 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.090 * [taylor]: Taking taylor expansion of -1/2 in U 7.090 * [backup-simplify]: Simplify -1/2 into -1/2 7.090 * [taylor]: Taking taylor expansion of K in U 7.090 * [backup-simplify]: Simplify K into K 7.090 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.091 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.091 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.091 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.091 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.091 * [backup-simplify]: Simplify (- 0) into 0 7.091 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.091 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.091 * [taylor]: Taking taylor expansion of U in U 7.091 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify 1 into 1 7.091 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.092 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.092 * [backup-simplify]: Simplify (* 1 1) into 1 7.092 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.092 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.093 * [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))) 7.093 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.093 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 7.094 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 7.094 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 7.094 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 7.094 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 7.094 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 7.094 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 7.094 * [taylor]: Taking taylor expansion of 1/4 in U 7.094 * [backup-simplify]: Simplify 1/4 into 1/4 7.095 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.095 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.095 * [taylor]: Taking taylor expansion of 1 in U 7.095 * [backup-simplify]: Simplify 1 into 1 7.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.095 * [taylor]: Taking taylor expansion of 1/4 in U 7.095 * [backup-simplify]: Simplify 1/4 into 1/4 7.095 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.095 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.095 * [taylor]: Taking taylor expansion of J in U 7.095 * [backup-simplify]: Simplify J into J 7.095 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.095 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.095 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.095 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.095 * [taylor]: Taking taylor expansion of -1/2 in U 7.095 * [backup-simplify]: Simplify -1/2 into -1/2 7.095 * [taylor]: Taking taylor expansion of K in U 7.095 * [backup-simplify]: Simplify K into K 7.095 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.095 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.095 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.095 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.095 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.096 * [backup-simplify]: Simplify (- 0) into 0 7.096 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.096 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.096 * [taylor]: Taking taylor expansion of U in U 7.096 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify 1 into 1 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) 7.097 * [backup-simplify]: Simplify (* 1 1) into 1 7.097 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.097 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.097 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.097 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.098 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 7.098 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 7.099 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 7.099 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 7.099 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 7.099 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 7.099 * [taylor]: Taking taylor expansion of 1/4 in J 7.099 * [backup-simplify]: Simplify 1/4 into 1/4 7.099 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 7.099 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 7.099 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 7.099 * [taylor]: Taking taylor expansion of 1/4 in J 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)) in J 7.099 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.099 * [taylor]: Taking taylor expansion of J in J 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.100 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.100 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.100 * [taylor]: Taking taylor expansion of -1/2 in J 7.100 * [backup-simplify]: Simplify -1/2 into -1/2 7.100 * [taylor]: Taking taylor expansion of K in J 7.100 * [backup-simplify]: Simplify K into K 7.100 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.100 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.100 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.100 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.100 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.100 * [backup-simplify]: Simplify (- 0) into 0 7.101 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.101 * [backup-simplify]: Simplify (* 1 1) into 1 7.101 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.101 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 7.101 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.102 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 7.102 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 7.102 * [taylor]: Taking taylor expansion of 2 in J 7.102 * [backup-simplify]: Simplify 2 into 2 7.102 * [taylor]: Taking taylor expansion of (log U) in J 7.102 * [taylor]: Taking taylor expansion of U in J 7.102 * [backup-simplify]: Simplify U into U 7.102 * [backup-simplify]: Simplify (log U) into (log U) 7.102 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 7.102 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.103 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.103 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 7.103 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 7.103 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 7.104 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 7.104 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 7.104 * [taylor]: Taking taylor expansion of 1/4 in K 7.104 * [backup-simplify]: Simplify 1/4 into 1/4 7.104 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 7.104 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 7.104 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 7.104 * [taylor]: Taking taylor expansion of 2 in K 7.104 * [backup-simplify]: Simplify 2 into 2 7.104 * [taylor]: Taking taylor expansion of (log J) in K 7.104 * [taylor]: Taking taylor expansion of J in K 7.104 * [backup-simplify]: Simplify J into J 7.104 * [backup-simplify]: Simplify (log J) into (log J) 7.104 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 7.104 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 7.104 * [taylor]: Taking taylor expansion of 1/4 in K 7.104 * [backup-simplify]: Simplify 1/4 into 1/4 7.104 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.104 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.104 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.104 * [taylor]: Taking taylor expansion of -1/2 in K 7.104 * [backup-simplify]: Simplify -1/2 into -1/2 7.104 * [taylor]: Taking taylor expansion of K in K 7.104 * [backup-simplify]: Simplify 0 into 0 7.104 * [backup-simplify]: Simplify 1 into 1 7.105 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.105 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.105 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.105 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.105 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 7.105 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 7.105 * [taylor]: Taking taylor expansion of 2 in K 7.105 * [backup-simplify]: Simplify 2 into 2 7.105 * [taylor]: Taking taylor expansion of (log U) in K 7.106 * [taylor]: Taking taylor expansion of U in K 7.106 * [backup-simplify]: Simplify U into U 7.106 * [backup-simplify]: Simplify (log U) into (log U) 7.106 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 7.106 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 7.106 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.106 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.106 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 7.107 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 7.107 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 7.107 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 7.107 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.109 * [backup-simplify]: Simplify (+ 0) into 0 7.109 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.109 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.110 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.111 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.111 * [backup-simplify]: Simplify (- 0) into 0 7.112 * [backup-simplify]: Simplify (+ 0 0) into 0 7.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.113 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.113 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.114 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.114 * [backup-simplify]: Simplify (+ 0 0) into 0 7.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 7.116 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 7.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.117 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.117 * [taylor]: Taking taylor expansion of 0 in J 7.117 * [backup-simplify]: Simplify 0 into 0 7.117 * [taylor]: Taking taylor expansion of 0 in K 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.119 * [backup-simplify]: Simplify (+ 0) into 0 7.119 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.119 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.121 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.122 * [backup-simplify]: Simplify (- 0) into 0 7.122 * [backup-simplify]: Simplify (+ 0 0) into 0 7.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.123 * [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 7.123 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 7.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 7.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.125 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.126 * [backup-simplify]: Simplify (- 0) into 0 7.126 * [backup-simplify]: Simplify (+ 0 0) into 0 7.127 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.128 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.128 * [taylor]: Taking taylor expansion of 0 in K 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 7.129 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 7.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.130 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 7.131 * [backup-simplify]: Simplify (+ 0 0) into 0 7.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.132 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.133 * [backup-simplify]: Simplify (- 0) into 0 7.133 * [backup-simplify]: Simplify (+ 0 0) into 0 7.134 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.135 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.138 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.138 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.139 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.140 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.140 * [backup-simplify]: Simplify (- 0) into 0 7.140 * [backup-simplify]: Simplify (+ 0 0) into 0 7.141 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.142 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.142 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 7.144 * [backup-simplify]: Simplify (+ 1 0) into 1 7.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 7.146 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 7.147 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 7.148 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 7.149 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 7.149 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 7.149 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.149 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.149 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.149 * [taylor]: Taking taylor expansion of -1/2 in J 7.149 * [backup-simplify]: Simplify -1/2 into -1/2 7.149 * [taylor]: Taking taylor expansion of K in J 7.149 * [backup-simplify]: Simplify K into K 7.149 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.149 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.149 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.149 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.149 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.150 * [backup-simplify]: Simplify (- 0) into 0 7.150 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.150 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 7.150 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 7.150 * [taylor]: Taking taylor expansion of 1/4 in J 7.150 * [backup-simplify]: Simplify 1/4 into 1/4 7.150 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 7.150 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 7.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 7.150 * [taylor]: Taking taylor expansion of 1/4 in J 7.150 * [backup-simplify]: Simplify 1/4 into 1/4 7.150 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 7.150 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.150 * [taylor]: Taking taylor expansion of J in J 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify 1 into 1 7.150 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.150 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.150 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.150 * [taylor]: Taking taylor expansion of -1/2 in J 7.150 * [backup-simplify]: Simplify -1/2 into -1/2 7.150 * [taylor]: Taking taylor expansion of K in J 7.150 * [backup-simplify]: Simplify K into K 7.150 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.150 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.150 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.150 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.151 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.151 * [backup-simplify]: Simplify (- 0) into 0 7.151 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.151 * [backup-simplify]: Simplify (* 1 1) into 1 7.152 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.152 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 7.152 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.152 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 7.152 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 7.152 * [taylor]: Taking taylor expansion of 2 in J 7.152 * [backup-simplify]: Simplify 2 into 2 7.152 * [taylor]: Taking taylor expansion of (log U) in J 7.152 * [taylor]: Taking taylor expansion of U in J 7.152 * [backup-simplify]: Simplify U into U 7.152 * [backup-simplify]: Simplify (log U) into (log U) 7.153 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 7.153 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 7.153 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 7.153 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 7.153 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 7.154 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 7.154 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.154 * [taylor]: Taking taylor expansion of J in J 7.154 * [backup-simplify]: Simplify 0 into 0 7.154 * [backup-simplify]: Simplify 1 into 1 7.154 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.154 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 7.155 * [backup-simplify]: Simplify (* 1 1) into 1 7.155 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 7.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.156 * [backup-simplify]: Simplify (+ 0) into 0 7.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.157 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.158 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.159 * [backup-simplify]: Simplify (- 0) into 0 7.159 * [backup-simplify]: Simplify (+ 0 0) into 0 7.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.160 * [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 7.160 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 7.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 7.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 7.162 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 7.163 * [backup-simplify]: Simplify (- 0) into 0 7.163 * [backup-simplify]: Simplify (+ 0 0) into 0 7.164 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 7.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.166 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.167 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.167 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.168 * [backup-simplify]: Simplify (- 0) into 0 7.168 * [backup-simplify]: Simplify (+ 0 0) into 0 7.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.169 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 7.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 7.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 7.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 7.173 * [backup-simplify]: Simplify (- 0) into 0 7.173 * [backup-simplify]: Simplify (+ 0 0) into 0 7.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 7.177 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.177 * [backup-simplify]: Simplify (+ 0) into 0 7.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.177 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.178 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.178 * [backup-simplify]: Simplify (- 0) into 0 7.178 * [backup-simplify]: Simplify (+ 0 0) into 0 7.179 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.179 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.180 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.180 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.181 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.181 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.181 * [backup-simplify]: Simplify (- 0) into 0 7.181 * [backup-simplify]: Simplify (+ 0 0) into 0 7.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.182 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 7.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.183 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 7.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 7.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.185 * [taylor]: Taking taylor expansion of 0 in K 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [taylor]: Taking taylor expansion of 0 in K 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 0 into 0 7.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.187 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.188 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.188 * [backup-simplify]: Simplify (- 0) into 0 7.188 * [backup-simplify]: Simplify (+ 0 0) into 0 7.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.189 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 7.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 7.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 7.192 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 7.192 * [backup-simplify]: Simplify (- 0) into 0 7.192 * [backup-simplify]: Simplify (+ 0 0) into 0 7.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 7.194 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.194 * [taylor]: Taking taylor expansion of 0 in K 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 7.194 * * * [progress]: simplifying candidates 7.194 * * * * [progress]: [ 1 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 2 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 3 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 4 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 5 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 6 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 7 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 8 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 9 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 10 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 11 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 12 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 13 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 14 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 15 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 16 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 17 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))> 7.195 * * * * [progress]: [ 18 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 19 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 20 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 21 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 22 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 23 / 92 ] simplifiying candidate # 7.195 * * * * [progress]: [ 24 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 25 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 26 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 27 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 28 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 29 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 30 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 31 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 32 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 33 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 34 / 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))))))> 7.196 * * * * [progress]: [ 35 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 36 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 37 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 38 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 39 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 40 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 41 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 42 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 43 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 44 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 45 / 92 ] simplifiying candidate # 7.196 * * * * [progress]: [ 46 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 47 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 48 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 49 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 50 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 51 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 52 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 53 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 54 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 55 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 56 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 57 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))> 7.197 * * * * [progress]: [ 58 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 59 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 60 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 61 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 62 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 63 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 64 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 65 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 66 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 67 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 68 / 92 ] simplifiying candidate # 7.197 * * * * [progress]: [ 69 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 70 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 71 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 72 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 73 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 74 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 75 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 76 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 77 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 78 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 79 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 80 / 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))))))> 7.198 * * * * [progress]: [ 81 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 82 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 83 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 84 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 85 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 86 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 87 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 88 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 89 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 90 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 91 / 92 ] simplifiying candidate # 7.198 * * * * [progress]: [ 92 / 92 ] simplifiying candidate # 7.199 * [simplify]: Simplifying: (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 (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 (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)))) 2))))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 1 (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 7.201 * * [simplify]: iteration 0: 92 enodes 7.235 * * [simplify]: iteration 1: 177 enodes 7.309 * * [simplify]: iteration 2: 443 enodes 7.595 * * [simplify]: iteration 3: 1632 enodes 8.741 * * [simplify]: iteration complete: 5001 enodes 8.741 * * [simplify]: Extracting #0: cost 35 inf + 0 8.742 * * [simplify]: Extracting #1: cost 191 inf + 3 8.745 * * [simplify]: Extracting #2: cost 619 inf + 1023 8.753 * * [simplify]: Extracting #3: cost 1465 inf + 5969 8.768 * * [simplify]: Extracting #4: cost 1829 inf + 22196 8.781 * * [simplify]: Extracting #5: cost 1484 inf + 74584 8.853 * * [simplify]: Extracting #6: cost 760 inf + 281600 8.956 * * [simplify]: Extracting #7: cost 136 inf + 517765 9.156 * * [simplify]: Extracting #8: cost 7 inf + 567452 9.333 * * [simplify]: Extracting #9: cost 0 inf + 567729 9.476 * * [simplify]: Extracting #10: cost 0 inf + 567289 9.683 * [simplify]: Simplified to: (log (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (exp (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (* (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (* (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1) (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (fabs (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) 1 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)) 1 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)) (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))) 1)) (sqrt (+ (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))))) (sqrt (- 1 (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))))) (sqrt (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))) 1/2 (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (/ 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U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) 1 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)) 1 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)) (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))) 1)) (sqrt (+ (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))))) (sqrt (- 1 (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))))) (sqrt (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))) 1/2 (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (real->posit16 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (log (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (exp (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (* (sqrt (sqrt (+ (* (/ 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(* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) 1 (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))) 1))) (sqrt (sqrt (+ (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))))) (sqrt (sqrt (- 1 (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))))) (sqrt (sqrt (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (log (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (exp (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (* (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 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(* K 1/2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) 1 (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))) 1))) (sqrt (sqrt (+ (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))))) (sqrt (sqrt (- 1 (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))))) (sqrt (sqrt (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) 1 (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))) 1 (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))) 1 (exp (+ (* 1/2 (+ (- (log J)) (log U))) (* 1/4 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))))) (exp (+ (* (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) 1/4) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (exp (+ (* 1/2 (+ (- (log J)) (log U))) (* 1/4 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))))) (exp (+ (* (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) 1/4) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 9.697 * * * [progress]: adding candidates to table 10.328 * * [progress]: iteration 3 / 4 10.328 * * * [progress]: picking best candidate 10.391 * * * * [pick]: Picked # 10.391 * * * [progress]: localizing error 10.523 * * * [progress]: generating rewritten candidates 10.523 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2 1) 10.578 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1 2) 10.607 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 10.642 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 10.700 * * * [progress]: generating series expansions 10.700 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2 1) 10.700 * [backup-simplify]: Simplify (cbrt (+ 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) 1/3) 10.700 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in (U J K) around 0 10.700 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in K 10.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 10.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 10.700 * [taylor]: Taking taylor expansion of 1/3 in K 10.700 * [backup-simplify]: Simplify 1/3 into 1/3 10.701 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 10.701 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 10.701 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 10.701 * [taylor]: Taking taylor expansion of 1/4 in K 10.701 * [backup-simplify]: Simplify 1/4 into 1/4 10.701 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.701 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.701 * [taylor]: Taking taylor expansion of U in K 10.701 * [backup-simplify]: Simplify U into U 10.701 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.701 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.701 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.701 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.701 * [taylor]: Taking taylor expansion of 1/2 in K 10.701 * [backup-simplify]: Simplify 1/2 into 1/2 10.701 * [taylor]: Taking taylor expansion of K in K 10.701 * [backup-simplify]: Simplify 0 into 0 10.701 * [backup-simplify]: Simplify 1 into 1 10.701 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.702 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.702 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.702 * [taylor]: Taking taylor expansion of J in K 10.702 * [backup-simplify]: Simplify J into J 10.702 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.702 * [backup-simplify]: Simplify (* 1 1) into 1 10.702 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.702 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.702 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 10.702 * [taylor]: Taking taylor expansion of 1 in K 10.702 * [backup-simplify]: Simplify 1 into 1 10.703 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.703 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.703 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.703 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 10.703 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/3) 10.703 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in J 10.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 10.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 10.703 * [taylor]: Taking taylor expansion of 1/3 in J 10.703 * [backup-simplify]: Simplify 1/3 into 1/3 10.703 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 10.703 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 10.703 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 10.703 * [taylor]: Taking taylor expansion of 1/4 in J 10.703 * [backup-simplify]: Simplify 1/4 into 1/4 10.703 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.703 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.703 * [taylor]: Taking taylor expansion of U in J 10.703 * [backup-simplify]: Simplify U into U 10.703 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.703 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.703 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.703 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.703 * [taylor]: Taking taylor expansion of 1/2 in J 10.703 * [backup-simplify]: Simplify 1/2 into 1/2 10.703 * [taylor]: Taking taylor expansion of K in J 10.704 * [backup-simplify]: Simplify K into K 10.704 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.704 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.704 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.704 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.704 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.704 * [backup-simplify]: Simplify (- 0) into 0 10.704 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.704 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.704 * [taylor]: Taking taylor expansion of J in J 10.704 * [backup-simplify]: Simplify 0 into 0 10.704 * [backup-simplify]: Simplify 1 into 1 10.704 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.704 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.705 * [backup-simplify]: Simplify (* 1 1) into 1 10.705 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.705 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 10.705 * [taylor]: Taking taylor expansion of 1 in J 10.705 * [backup-simplify]: Simplify 1 into 1 10.705 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.705 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.705 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 10.706 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 10.706 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 10.706 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 10.706 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 10.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 10.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 10.706 * [taylor]: Taking taylor expansion of 1/3 in U 10.706 * [backup-simplify]: Simplify 1/3 into 1/3 10.706 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.706 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.706 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.706 * [taylor]: Taking taylor expansion of 1/4 in U 10.706 * [backup-simplify]: Simplify 1/4 into 1/4 10.706 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.706 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.706 * [taylor]: Taking taylor expansion of U in U 10.706 * [backup-simplify]: Simplify 0 into 0 10.706 * [backup-simplify]: Simplify 1 into 1 10.706 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.706 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.706 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.706 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.706 * [taylor]: Taking taylor expansion of 1/2 in U 10.706 * [backup-simplify]: Simplify 1/2 into 1/2 10.706 * [taylor]: Taking taylor expansion of K in U 10.706 * [backup-simplify]: Simplify K into K 10.706 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.706 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.706 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.706 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.707 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.707 * [backup-simplify]: Simplify (- 0) into 0 10.707 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.707 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.707 * [taylor]: Taking taylor expansion of J in U 10.707 * [backup-simplify]: Simplify J into J 10.707 * [backup-simplify]: Simplify (* 1 1) into 1 10.707 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.707 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.707 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.707 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.707 * [taylor]: Taking taylor expansion of 1 in U 10.708 * [backup-simplify]: Simplify 1 into 1 10.708 * [backup-simplify]: Simplify (+ 0 1) into 1 10.708 * [backup-simplify]: Simplify (log 1) into 0 10.709 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.709 * [backup-simplify]: Simplify (+ 0 0) into 0 10.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.711 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.711 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.711 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.714 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.714 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.714 * [backup-simplify]: Simplify (exp 0) into 1 10.715 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 10.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 10.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 10.715 * [taylor]: Taking taylor expansion of 1/3 in U 10.715 * [backup-simplify]: Simplify 1/3 into 1/3 10.715 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.715 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.715 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.715 * [taylor]: Taking taylor expansion of 1/4 in U 10.715 * [backup-simplify]: Simplify 1/4 into 1/4 10.715 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.715 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.715 * [taylor]: Taking taylor expansion of U in U 10.715 * [backup-simplify]: Simplify 0 into 0 10.715 * [backup-simplify]: Simplify 1 into 1 10.715 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.715 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.715 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.715 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.715 * [taylor]: Taking taylor expansion of 1/2 in U 10.715 * [backup-simplify]: Simplify 1/2 into 1/2 10.715 * [taylor]: Taking taylor expansion of K in U 10.715 * [backup-simplify]: Simplify K into K 10.715 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.715 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.715 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.715 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.715 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.716 * [backup-simplify]: Simplify (- 0) into 0 10.716 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.716 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.716 * [taylor]: Taking taylor expansion of J in U 10.716 * [backup-simplify]: Simplify J into J 10.716 * [backup-simplify]: Simplify (* 1 1) into 1 10.716 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.717 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.717 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.717 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.717 * [taylor]: Taking taylor expansion of 1 in U 10.717 * [backup-simplify]: Simplify 1 into 1 10.717 * [backup-simplify]: Simplify (+ 0 1) into 1 10.718 * [backup-simplify]: Simplify (log 1) into 0 10.718 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.719 * [backup-simplify]: Simplify (+ 0 0) into 0 10.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.721 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.721 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.721 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.724 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.724 * [backup-simplify]: Simplify (exp 0) into 1 10.724 * [taylor]: Taking taylor expansion of 1 in J 10.724 * [backup-simplify]: Simplify 1 into 1 10.724 * [taylor]: Taking taylor expansion of 1 in K 10.724 * [backup-simplify]: Simplify 1 into 1 10.724 * [backup-simplify]: Simplify 1 into 1 10.726 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 10.726 * [taylor]: Taking taylor expansion of 0 in J 10.726 * [backup-simplify]: Simplify 0 into 0 10.726 * [taylor]: Taking taylor expansion of 0 in K 10.726 * [backup-simplify]: Simplify 0 into 0 10.726 * [backup-simplify]: Simplify 0 into 0 10.726 * [taylor]: Taking taylor expansion of 0 in K 10.726 * [backup-simplify]: Simplify 0 into 0 10.726 * [backup-simplify]: Simplify 0 into 0 10.726 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.727 * [taylor]: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.727 * [taylor]: Taking taylor expansion of 1/12 in J 10.727 * [backup-simplify]: Simplify 1/12 into 1/12 10.727 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.727 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.727 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.727 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.727 * [taylor]: Taking taylor expansion of 1/2 in J 10.727 * [backup-simplify]: Simplify 1/2 into 1/2 10.727 * [taylor]: Taking taylor expansion of K in J 10.727 * [backup-simplify]: Simplify K into K 10.727 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.727 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.728 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.728 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.728 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.728 * [backup-simplify]: Simplify (- 0) into 0 10.728 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.728 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.728 * [taylor]: Taking taylor expansion of J in J 10.728 * [backup-simplify]: Simplify 0 into 0 10.728 * [backup-simplify]: Simplify 1 into 1 10.729 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.729 * [backup-simplify]: Simplify (* 1 1) into 1 10.729 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.729 * [backup-simplify]: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) 10.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.731 * [backup-simplify]: Simplify (+ 0) into 0 10.731 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.733 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.733 * [backup-simplify]: Simplify (- 0) into 0 10.734 * [backup-simplify]: Simplify (+ 0 0) into 0 10.734 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.735 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.736 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.738 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.738 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.739 * [backup-simplify]: Simplify (- 0) into 0 10.739 * [backup-simplify]: Simplify (+ 0 0) into 0 10.740 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 10.740 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.741 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 10.741 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 10.742 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 10.742 * [taylor]: Taking taylor expansion of 0 in K 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [taylor]: Taking taylor expansion of 0 in K 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [taylor]: Taking taylor expansion of 0 in K 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [backup-simplify]: Simplify 1 into 1 10.743 * [backup-simplify]: Simplify (cbrt (+ 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) 1/3) 10.743 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in (U J K) around 0 10.743 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in K 10.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 10.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 10.743 * [taylor]: Taking taylor expansion of 1/3 in K 10.743 * [backup-simplify]: Simplify 1/3 into 1/3 10.743 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 10.743 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 10.743 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 10.743 * [taylor]: Taking taylor expansion of 1/4 in K 10.743 * [backup-simplify]: Simplify 1/4 into 1/4 10.743 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 10.743 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.743 * [taylor]: Taking taylor expansion of J in K 10.743 * [backup-simplify]: Simplify J into J 10.743 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 10.743 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.743 * [taylor]: Taking taylor expansion of U in K 10.743 * [backup-simplify]: Simplify U into U 10.743 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.743 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.743 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.743 * [taylor]: Taking taylor expansion of 1/2 in K 10.744 * [backup-simplify]: Simplify 1/2 into 1/2 10.744 * [taylor]: Taking taylor expansion of K in K 10.744 * [backup-simplify]: Simplify 0 into 0 10.744 * [backup-simplify]: Simplify 1 into 1 10.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.744 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.744 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.744 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.744 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.745 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.745 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.745 * [taylor]: Taking taylor expansion of 1 in K 10.745 * [backup-simplify]: Simplify 1 into 1 10.745 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.746 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 10.746 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 10.746 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 10.747 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 10.747 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in J 10.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 10.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 10.747 * [taylor]: Taking taylor expansion of 1/3 in J 10.747 * [backup-simplify]: Simplify 1/3 into 1/3 10.747 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 10.747 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 10.747 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.748 * [taylor]: Taking taylor expansion of 1/4 in J 10.748 * [backup-simplify]: Simplify 1/4 into 1/4 10.748 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 10.748 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.748 * [taylor]: Taking taylor expansion of J in J 10.748 * [backup-simplify]: Simplify 0 into 0 10.748 * [backup-simplify]: Simplify 1 into 1 10.748 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 10.748 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.748 * [taylor]: Taking taylor expansion of U in J 10.748 * [backup-simplify]: Simplify U into U 10.748 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.748 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.748 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.748 * [taylor]: Taking taylor expansion of 1/2 in J 10.748 * [backup-simplify]: Simplify 1/2 into 1/2 10.748 * [taylor]: Taking taylor expansion of K in J 10.748 * [backup-simplify]: Simplify K into K 10.748 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.748 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.748 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.748 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.748 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.749 * [backup-simplify]: Simplify (- 0) into 0 10.749 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.749 * [backup-simplify]: Simplify (* 1 1) into 1 10.749 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.750 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.750 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.750 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.750 * [taylor]: Taking taylor expansion of 1 in J 10.750 * [backup-simplify]: Simplify 1 into 1 10.750 * [backup-simplify]: Simplify (+ 0 1) into 1 10.751 * [backup-simplify]: Simplify (log 1) into 0 10.751 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.752 * [backup-simplify]: Simplify (+ 0 0) into 0 10.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.756 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.756 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.756 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.759 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.759 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.759 * [backup-simplify]: Simplify (exp 0) into 1 10.759 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 10.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 10.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 10.759 * [taylor]: Taking taylor expansion of 1/3 in U 10.760 * [backup-simplify]: Simplify 1/3 into 1/3 10.760 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.760 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.760 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.760 * [taylor]: Taking taylor expansion of 1/4 in U 10.760 * [backup-simplify]: Simplify 1/4 into 1/4 10.760 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.760 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.760 * [taylor]: Taking taylor expansion of J in U 10.760 * [backup-simplify]: Simplify J into J 10.760 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.760 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.760 * [taylor]: Taking taylor expansion of U in U 10.760 * [backup-simplify]: Simplify 0 into 0 10.760 * [backup-simplify]: Simplify 1 into 1 10.760 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.760 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.760 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.760 * [taylor]: Taking taylor expansion of 1/2 in U 10.760 * [backup-simplify]: Simplify 1/2 into 1/2 10.760 * [taylor]: Taking taylor expansion of K in U 10.760 * [backup-simplify]: Simplify K into K 10.760 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.760 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.760 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.760 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.761 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.761 * [backup-simplify]: Simplify (- 0) into 0 10.761 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.761 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.761 * [backup-simplify]: Simplify (* 1 1) into 1 10.762 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.762 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.762 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.762 * [taylor]: Taking taylor expansion of 1 in U 10.762 * [backup-simplify]: Simplify 1 into 1 10.762 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.762 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.763 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.763 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.763 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.764 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.764 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 10.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 10.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 10.764 * [taylor]: Taking taylor expansion of 1/3 in U 10.764 * [backup-simplify]: Simplify 1/3 into 1/3 10.764 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.764 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.764 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.764 * [taylor]: Taking taylor expansion of 1/4 in U 10.764 * [backup-simplify]: Simplify 1/4 into 1/4 10.764 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.764 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.764 * [taylor]: Taking taylor expansion of J in U 10.764 * [backup-simplify]: Simplify J into J 10.764 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.764 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.764 * [taylor]: Taking taylor expansion of U in U 10.764 * [backup-simplify]: Simplify 0 into 0 10.764 * [backup-simplify]: Simplify 1 into 1 10.764 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.764 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.764 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.764 * [taylor]: Taking taylor expansion of 1/2 in U 10.765 * [backup-simplify]: Simplify 1/2 into 1/2 10.765 * [taylor]: Taking taylor expansion of K in U 10.765 * [backup-simplify]: Simplify K into K 10.765 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.765 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.765 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.765 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.765 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.765 * [backup-simplify]: Simplify (- 0) into 0 10.765 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.765 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.766 * [backup-simplify]: Simplify (* 1 1) into 1 10.766 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.766 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.766 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.766 * [taylor]: Taking taylor expansion of 1 in U 10.766 * [backup-simplify]: Simplify 1 into 1 10.767 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.767 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.767 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.768 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.768 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.768 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 10.768 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.768 * [taylor]: Taking taylor expansion of 1/3 in J 10.769 * [backup-simplify]: Simplify 1/3 into 1/3 10.769 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.769 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.769 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.769 * [taylor]: Taking taylor expansion of 1/4 in J 10.769 * [backup-simplify]: Simplify 1/4 into 1/4 10.769 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.769 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.769 * [taylor]: Taking taylor expansion of J in J 10.769 * [backup-simplify]: Simplify 0 into 0 10.769 * [backup-simplify]: Simplify 1 into 1 10.769 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.769 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.769 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.769 * [taylor]: Taking taylor expansion of 1/2 in J 10.769 * [backup-simplify]: Simplify 1/2 into 1/2 10.769 * [taylor]: Taking taylor expansion of K in J 10.769 * [backup-simplify]: Simplify K into K 10.769 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.769 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.769 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.769 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.769 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.770 * [backup-simplify]: Simplify (- 0) into 0 10.770 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.770 * [backup-simplify]: Simplify (* 1 1) into 1 10.771 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.771 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.771 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.771 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.771 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.771 * [taylor]: Taking taylor expansion of 2 in J 10.771 * [backup-simplify]: Simplify 2 into 2 10.771 * [taylor]: Taking taylor expansion of (log U) in J 10.771 * [taylor]: Taking taylor expansion of U in J 10.771 * [backup-simplify]: Simplify U into U 10.771 * [backup-simplify]: Simplify (log U) into (log U) 10.772 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.772 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.772 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.772 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.772 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.773 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 10.773 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 10.773 * [taylor]: Taking taylor expansion of 1/3 in K 10.773 * [backup-simplify]: Simplify 1/3 into 1/3 10.773 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 10.773 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 10.773 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.773 * [taylor]: Taking taylor expansion of 2 in K 10.773 * [backup-simplify]: Simplify 2 into 2 10.773 * [taylor]: Taking taylor expansion of (log J) in K 10.773 * [taylor]: Taking taylor expansion of J in K 10.773 * [backup-simplify]: Simplify J into J 10.773 * [backup-simplify]: Simplify (log J) into (log J) 10.773 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 10.773 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 10.773 * [taylor]: Taking taylor expansion of 1/4 in K 10.773 * [backup-simplify]: Simplify 1/4 into 1/4 10.773 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.773 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.773 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.773 * [taylor]: Taking taylor expansion of 1/2 in K 10.773 * [backup-simplify]: Simplify 1/2 into 1/2 10.773 * [taylor]: Taking taylor expansion of K in K 10.773 * [backup-simplify]: Simplify 0 into 0 10.773 * [backup-simplify]: Simplify 1 into 1 10.774 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.774 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.774 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.774 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.774 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.774 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.774 * [taylor]: Taking taylor expansion of 2 in K 10.774 * [backup-simplify]: Simplify 2 into 2 10.774 * [taylor]: Taking taylor expansion of (log U) in K 10.774 * [taylor]: Taking taylor expansion of U in K 10.774 * [backup-simplify]: Simplify U into U 10.774 * [backup-simplify]: Simplify (log U) into (log U) 10.774 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.774 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.774 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.774 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.774 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.775 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.775 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.775 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.775 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.775 * [backup-simplify]: Simplify (+ 0) into 0 10.776 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.776 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.776 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.776 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.777 * [backup-simplify]: Simplify (- 0) into 0 10.777 * [backup-simplify]: Simplify (+ 0 0) into 0 10.777 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.778 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.778 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.779 * [backup-simplify]: Simplify (+ 0 0) into 0 10.779 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 10.780 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.780 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.781 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.781 * [taylor]: Taking taylor expansion of 0 in J 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [taylor]: Taking taylor expansion of 0 in K 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.782 * [backup-simplify]: Simplify (+ 0) into 0 10.782 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.782 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.782 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.783 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.783 * [backup-simplify]: Simplify (- 0) into 0 10.783 * [backup-simplify]: Simplify (+ 0 0) into 0 10.783 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.783 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.784 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.785 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.785 * [backup-simplify]: Simplify (- 0) into 0 10.786 * [backup-simplify]: Simplify (+ 0 0) into 0 10.786 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.787 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.787 * [taylor]: Taking taylor expansion of 0 in K 10.787 * [backup-simplify]: Simplify 0 into 0 10.787 * [backup-simplify]: Simplify 0 into 0 10.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.788 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.788 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.788 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.789 * [backup-simplify]: Simplify (+ 0 0) into 0 10.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.789 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.790 * [backup-simplify]: Simplify (- 0) into 0 10.790 * [backup-simplify]: Simplify (+ 0 0) into 0 10.790 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.791 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.791 * [backup-simplify]: Simplify 0 into 0 10.791 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.792 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.792 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.792 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.793 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.793 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.793 * [backup-simplify]: Simplify (- 0) into 0 10.794 * [backup-simplify]: Simplify (+ 0 0) into 0 10.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.795 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.796 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.796 * [backup-simplify]: Simplify (+ 0 1) into 1 10.797 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 10.798 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.798 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 10.799 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 10.799 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 10.799 * [taylor]: Taking taylor expansion of 4/3 in J 10.799 * [backup-simplify]: Simplify 4/3 into 4/3 10.799 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 10.799 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 10.799 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 10.799 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.799 * [taylor]: Taking taylor expansion of 1/3 in J 10.799 * [backup-simplify]: Simplify 1/3 into 1/3 10.799 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.799 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.799 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.799 * [taylor]: Taking taylor expansion of 1/4 in J 10.799 * [backup-simplify]: Simplify 1/4 into 1/4 10.799 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.799 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.799 * [taylor]: Taking taylor expansion of J in J 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [backup-simplify]: Simplify 1 into 1 10.800 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.800 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.800 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.800 * [taylor]: Taking taylor expansion of 1/2 in J 10.800 * [backup-simplify]: Simplify 1/2 into 1/2 10.800 * [taylor]: Taking taylor expansion of K in J 10.800 * [backup-simplify]: Simplify K into K 10.800 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.800 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.800 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.800 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.800 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.800 * [backup-simplify]: Simplify (- 0) into 0 10.800 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.801 * [backup-simplify]: Simplify (* 1 1) into 1 10.801 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.801 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.801 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.801 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.801 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.801 * [taylor]: Taking taylor expansion of 2 in J 10.801 * [backup-simplify]: Simplify 2 into 2 10.801 * [taylor]: Taking taylor expansion of (log U) in J 10.801 * [taylor]: Taking taylor expansion of U in J 10.801 * [backup-simplify]: Simplify U into U 10.801 * [backup-simplify]: Simplify (log U) into (log U) 10.802 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.802 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.802 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.802 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.803 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 10.803 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 10.803 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.803 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.803 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.803 * [taylor]: Taking taylor expansion of 1/2 in J 10.803 * [backup-simplify]: Simplify 1/2 into 1/2 10.803 * [taylor]: Taking taylor expansion of K in J 10.803 * [backup-simplify]: Simplify K into K 10.803 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.803 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.803 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.803 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.804 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.804 * [backup-simplify]: Simplify (- 0) into 0 10.804 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.804 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.804 * [taylor]: Taking taylor expansion of J in J 10.804 * [backup-simplify]: Simplify 0 into 0 10.804 * [backup-simplify]: Simplify 1 into 1 10.804 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.805 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 10.805 * [backup-simplify]: Simplify (* 1 1) into 1 10.806 * [backup-simplify]: Simplify (/ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 10.806 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.807 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.807 * [backup-simplify]: Simplify (+ 0) into 0 10.808 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.808 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.809 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.810 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.811 * [backup-simplify]: Simplify (- 0) into 0 10.811 * [backup-simplify]: Simplify (+ 0 0) into 0 10.812 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.812 * [backup-simplify]: Simplify (- 0) into 0 10.813 * [backup-simplify]: Simplify (+ 0 0) into 0 10.813 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.814 * [backup-simplify]: Simplify (+ 0) into 0 10.815 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.815 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.816 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.816 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.817 * [backup-simplify]: Simplify (- 0) into 0 10.817 * [backup-simplify]: Simplify (+ 0 0) into 0 10.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.817 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.818 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.820 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.821 * [backup-simplify]: Simplify (- 0) into 0 10.821 * [backup-simplify]: Simplify (+ 0 0) into 0 10.822 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.823 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.825 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.826 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.826 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.827 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.828 * [backup-simplify]: Simplify (- 0) into 0 10.828 * [backup-simplify]: Simplify (+ 0 0) into 0 10.829 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.829 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.832 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.833 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.834 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.835 * [backup-simplify]: Simplify (- 0) into 0 10.835 * [backup-simplify]: Simplify (+ 0 0) into 0 10.836 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.838 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.839 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.840 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 10.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.846 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 10.846 * [taylor]: Taking taylor expansion of 0 in K 10.846 * [backup-simplify]: Simplify 0 into 0 10.846 * [backup-simplify]: Simplify 0 into 0 10.846 * [taylor]: Taking taylor expansion of 0 in K 10.846 * [backup-simplify]: Simplify 0 into 0 10.846 * [backup-simplify]: Simplify 0 into 0 10.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.848 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.849 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.849 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.850 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.850 * [backup-simplify]: Simplify (- 0) into 0 10.850 * [backup-simplify]: Simplify (+ 0 0) into 0 10.850 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.851 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.851 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.852 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.854 * [backup-simplify]: Simplify (- 0) into 0 10.854 * [backup-simplify]: Simplify (+ 0 0) into 0 10.855 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.856 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.856 * [taylor]: Taking taylor expansion of 0 in K 10.856 * [backup-simplify]: Simplify 0 into 0 10.856 * [backup-simplify]: Simplify 0 into 0 10.856 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 10.857 * [backup-simplify]: Simplify (cbrt (+ 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))))) 1/3) 10.857 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in (U J K) around 0 10.857 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in K 10.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 10.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 10.857 * [taylor]: Taking taylor expansion of 1/3 in K 10.857 * [backup-simplify]: Simplify 1/3 into 1/3 10.857 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 10.857 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 10.857 * [taylor]: Taking taylor expansion of 1 in K 10.857 * [backup-simplify]: Simplify 1 into 1 10.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 10.857 * [taylor]: Taking taylor expansion of 1/4 in K 10.857 * [backup-simplify]: Simplify 1/4 into 1/4 10.857 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 10.857 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.857 * [taylor]: Taking taylor expansion of J in K 10.857 * [backup-simplify]: Simplify J into J 10.857 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 10.857 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.857 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.857 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.857 * [taylor]: Taking taylor expansion of -1/2 in K 10.857 * [backup-simplify]: Simplify -1/2 into -1/2 10.857 * [taylor]: Taking taylor expansion of K in K 10.857 * [backup-simplify]: Simplify 0 into 0 10.857 * [backup-simplify]: Simplify 1 into 1 10.857 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.857 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.857 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.857 * [taylor]: Taking taylor expansion of U in K 10.857 * [backup-simplify]: Simplify U into U 10.857 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.857 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.858 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.858 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.858 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.858 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.858 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 10.858 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 10.859 * [backup-simplify]: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 10.859 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 10.859 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in J 10.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 10.859 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 10.859 * [taylor]: Taking taylor expansion of 1/3 in J 10.859 * [backup-simplify]: Simplify 1/3 into 1/3 10.859 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 10.859 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 10.859 * [taylor]: Taking taylor expansion of 1 in J 10.859 * [backup-simplify]: Simplify 1 into 1 10.859 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 10.859 * [taylor]: Taking taylor expansion of 1/4 in J 10.859 * [backup-simplify]: Simplify 1/4 into 1/4 10.859 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 10.859 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.859 * [taylor]: Taking taylor expansion of J in J 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [backup-simplify]: Simplify 1 into 1 10.859 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 10.859 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.859 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.859 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.859 * [taylor]: Taking taylor expansion of -1/2 in J 10.859 * [backup-simplify]: Simplify -1/2 into -1/2 10.859 * [taylor]: Taking taylor expansion of K in J 10.859 * [backup-simplify]: Simplify K into K 10.859 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.859 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.859 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.859 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.859 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.860 * [backup-simplify]: Simplify (- 0) into 0 10.860 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.860 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.860 * [taylor]: Taking taylor expansion of U in J 10.860 * [backup-simplify]: Simplify U into U 10.860 * [backup-simplify]: Simplify (* 1 1) into 1 10.860 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.860 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.860 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.860 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.861 * [backup-simplify]: Simplify (+ 1 0) into 1 10.861 * [backup-simplify]: Simplify (log 1) into 0 10.861 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.861 * [backup-simplify]: Simplify (+ 0 0) into 0 10.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.863 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.863 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.863 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.864 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.865 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.865 * [backup-simplify]: Simplify (exp 0) into 1 10.865 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 10.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 10.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 10.865 * [taylor]: Taking taylor expansion of 1/3 in U 10.865 * [backup-simplify]: Simplify 1/3 into 1/3 10.865 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.865 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.865 * [taylor]: Taking taylor expansion of 1 in U 10.865 * [backup-simplify]: Simplify 1 into 1 10.865 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.865 * [taylor]: Taking taylor expansion of 1/4 in U 10.865 * [backup-simplify]: Simplify 1/4 into 1/4 10.865 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.865 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.865 * [taylor]: Taking taylor expansion of J in U 10.865 * [backup-simplify]: Simplify J into J 10.865 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.865 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.865 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.865 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.865 * [taylor]: Taking taylor expansion of -1/2 in U 10.865 * [backup-simplify]: Simplify -1/2 into -1/2 10.865 * [taylor]: Taking taylor expansion of K in U 10.865 * [backup-simplify]: Simplify K into K 10.865 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.865 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.865 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.865 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.865 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.865 * [backup-simplify]: Simplify (- 0) into 0 10.866 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.866 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.866 * [taylor]: Taking taylor expansion of U in U 10.866 * [backup-simplify]: Simplify 0 into 0 10.866 * [backup-simplify]: Simplify 1 into 1 10.866 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.866 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.866 * [backup-simplify]: Simplify (* 1 1) into 1 10.866 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.866 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.866 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.866 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.867 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.867 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.867 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.867 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.867 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 10.867 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 10.867 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 10.867 * [taylor]: Taking taylor expansion of 1/3 in U 10.867 * [backup-simplify]: Simplify 1/3 into 1/3 10.868 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.868 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.868 * [taylor]: Taking taylor expansion of 1 in U 10.868 * [backup-simplify]: Simplify 1 into 1 10.868 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.868 * [taylor]: Taking taylor expansion of 1/4 in U 10.868 * [backup-simplify]: Simplify 1/4 into 1/4 10.868 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.868 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.868 * [taylor]: Taking taylor expansion of J in U 10.868 * [backup-simplify]: Simplify J into J 10.868 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.868 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.868 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.868 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.868 * [taylor]: Taking taylor expansion of -1/2 in U 10.868 * [backup-simplify]: Simplify -1/2 into -1/2 10.868 * [taylor]: Taking taylor expansion of K in U 10.868 * [backup-simplify]: Simplify K into K 10.868 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.868 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.868 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.868 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.868 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.868 * [backup-simplify]: Simplify (- 0) into 0 10.868 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.868 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.869 * [taylor]: Taking taylor expansion of U in U 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [backup-simplify]: Simplify 1 into 1 10.869 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.869 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.869 * [backup-simplify]: Simplify (* 1 1) into 1 10.869 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.869 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.869 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.869 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.869 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.870 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.870 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.870 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.870 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 10.870 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.870 * [taylor]: Taking taylor expansion of 1/3 in J 10.870 * [backup-simplify]: Simplify 1/3 into 1/3 10.870 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.870 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.870 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.870 * [taylor]: Taking taylor expansion of 1/4 in J 10.870 * [backup-simplify]: Simplify 1/4 into 1/4 10.870 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.870 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.870 * [taylor]: Taking taylor expansion of J in J 10.871 * [backup-simplify]: Simplify 0 into 0 10.871 * [backup-simplify]: Simplify 1 into 1 10.871 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.871 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.871 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.871 * [taylor]: Taking taylor expansion of -1/2 in J 10.871 * [backup-simplify]: Simplify -1/2 into -1/2 10.871 * [taylor]: Taking taylor expansion of K in J 10.871 * [backup-simplify]: Simplify K into K 10.871 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.871 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.871 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.871 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.871 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.871 * [backup-simplify]: Simplify (- 0) into 0 10.871 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.871 * [backup-simplify]: Simplify (* 1 1) into 1 10.872 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.872 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.872 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.872 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.872 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.872 * [taylor]: Taking taylor expansion of 2 in J 10.872 * [backup-simplify]: Simplify 2 into 2 10.872 * [taylor]: Taking taylor expansion of (log U) in J 10.872 * [taylor]: Taking taylor expansion of U in J 10.872 * [backup-simplify]: Simplify U into U 10.872 * [backup-simplify]: Simplify (log U) into (log U) 10.872 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.872 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.872 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.872 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.873 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.873 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 10.873 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 10.873 * [taylor]: Taking taylor expansion of 1/3 in K 10.873 * [backup-simplify]: Simplify 1/3 into 1/3 10.873 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 10.873 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 10.873 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.873 * [taylor]: Taking taylor expansion of 2 in K 10.873 * [backup-simplify]: Simplify 2 into 2 10.873 * [taylor]: Taking taylor expansion of (log J) in K 10.873 * [taylor]: Taking taylor expansion of J in K 10.873 * [backup-simplify]: Simplify J into J 10.873 * [backup-simplify]: Simplify (log J) into (log J) 10.873 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 10.873 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 10.873 * [taylor]: Taking taylor expansion of 1/4 in K 10.873 * [backup-simplify]: Simplify 1/4 into 1/4 10.873 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.873 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.873 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.873 * [taylor]: Taking taylor expansion of -1/2 in K 10.873 * [backup-simplify]: Simplify -1/2 into -1/2 10.873 * [taylor]: Taking taylor expansion of K in K 10.873 * [backup-simplify]: Simplify 0 into 0 10.873 * [backup-simplify]: Simplify 1 into 1 10.875 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.875 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.875 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.875 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.875 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.875 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.875 * [taylor]: Taking taylor expansion of 2 in K 10.875 * [backup-simplify]: Simplify 2 into 2 10.875 * [taylor]: Taking taylor expansion of (log U) in K 10.875 * [taylor]: Taking taylor expansion of U in K 10.875 * [backup-simplify]: Simplify U into U 10.875 * [backup-simplify]: Simplify (log U) into (log U) 10.875 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.876 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.876 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.876 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.876 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.876 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.876 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.877 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.877 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.878 * [backup-simplify]: Simplify (+ 0) into 0 10.878 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.879 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.879 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.880 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.880 * [backup-simplify]: Simplify (- 0) into 0 10.881 * [backup-simplify]: Simplify (+ 0 0) into 0 10.881 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.881 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 10.882 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.882 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 10.883 * [backup-simplify]: Simplify (+ 0 0) into 0 10.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 10.884 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.885 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.886 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.886 * [taylor]: Taking taylor expansion of 0 in J 10.886 * [backup-simplify]: Simplify 0 into 0 10.886 * [taylor]: Taking taylor expansion of 0 in K 10.886 * [backup-simplify]: Simplify 0 into 0 10.886 * [backup-simplify]: Simplify 0 into 0 10.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.887 * [backup-simplify]: Simplify (+ 0) into 0 10.888 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.888 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.890 * [backup-simplify]: Simplify (- 0) into 0 10.890 * [backup-simplify]: Simplify (+ 0 0) into 0 10.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.890 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.891 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.893 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.894 * [backup-simplify]: Simplify (- 0) into 0 10.894 * [backup-simplify]: Simplify (+ 0 0) into 0 10.895 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.896 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.896 * [taylor]: Taking taylor expansion of 0 in K 10.896 * [backup-simplify]: Simplify 0 into 0 10.896 * [backup-simplify]: Simplify 0 into 0 10.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.897 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.898 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.898 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.899 * [backup-simplify]: Simplify (+ 0 0) into 0 10.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.900 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.900 * [backup-simplify]: Simplify (- 0) into 0 10.901 * [backup-simplify]: Simplify (+ 0 0) into 0 10.901 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.902 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.902 * [backup-simplify]: Simplify 0 into 0 10.902 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.903 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.904 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.904 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.904 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.905 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.905 * [backup-simplify]: Simplify (- 0) into 0 10.905 * [backup-simplify]: Simplify (+ 0 0) into 0 10.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.906 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.906 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 10.907 * [backup-simplify]: Simplify (+ 1 0) into 1 10.908 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 10.909 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.909 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 10.910 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 10.910 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 10.910 * [taylor]: Taking taylor expansion of 4/3 in J 10.910 * [backup-simplify]: Simplify 4/3 into 4/3 10.910 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 10.910 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 10.910 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.910 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.910 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.910 * [taylor]: Taking taylor expansion of -1/2 in J 10.910 * [backup-simplify]: Simplify -1/2 into -1/2 10.910 * [taylor]: Taking taylor expansion of K in J 10.910 * [backup-simplify]: Simplify K into K 10.910 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.910 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.910 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.910 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.910 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.911 * [backup-simplify]: Simplify (- 0) into 0 10.911 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 10.911 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.911 * [taylor]: Taking taylor expansion of 1/3 in J 10.911 * [backup-simplify]: Simplify 1/3 into 1/3 10.911 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.911 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.911 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.911 * [taylor]: Taking taylor expansion of 1/4 in J 10.911 * [backup-simplify]: Simplify 1/4 into 1/4 10.911 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.911 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.911 * [taylor]: Taking taylor expansion of J in J 10.911 * [backup-simplify]: Simplify 0 into 0 10.911 * [backup-simplify]: Simplify 1 into 1 10.911 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.911 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.911 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.911 * [taylor]: Taking taylor expansion of -1/2 in J 10.911 * [backup-simplify]: Simplify -1/2 into -1/2 10.911 * [taylor]: Taking taylor expansion of K in J 10.911 * [backup-simplify]: Simplify K into K 10.911 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.911 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.911 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.911 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.911 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.912 * [backup-simplify]: Simplify (- 0) into 0 10.912 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.912 * [backup-simplify]: Simplify (* 1 1) into 1 10.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.912 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.912 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.912 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.912 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.912 * [taylor]: Taking taylor expansion of 2 in J 10.912 * [backup-simplify]: Simplify 2 into 2 10.912 * [taylor]: Taking taylor expansion of (log U) in J 10.912 * [taylor]: Taking taylor expansion of U in J 10.912 * [backup-simplify]: Simplify U into U 10.912 * [backup-simplify]: Simplify (log U) into (log U) 10.913 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.913 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.913 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.913 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.913 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 10.913 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 10.913 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.913 * [taylor]: Taking taylor expansion of J in J 10.913 * [backup-simplify]: Simplify 0 into 0 10.913 * [backup-simplify]: Simplify 1 into 1 10.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.914 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 10.914 * [backup-simplify]: Simplify (* 1 1) into 1 10.914 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 10.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.915 * [backup-simplify]: Simplify (+ 0) into 0 10.915 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.915 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.916 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.916 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.916 * [backup-simplify]: Simplify (- 0) into 0 10.917 * [backup-simplify]: Simplify (+ 0 0) into 0 10.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.917 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.917 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.919 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.919 * [backup-simplify]: Simplify (- 0) into 0 10.919 * [backup-simplify]: Simplify (+ 0 0) into 0 10.920 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.921 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.921 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.921 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.922 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.922 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.922 * [backup-simplify]: Simplify (- 0) into 0 10.923 * [backup-simplify]: Simplify (+ 0 0) into 0 10.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.923 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.925 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 10.926 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.927 * [backup-simplify]: Simplify (- 0) into 0 10.927 * [backup-simplify]: Simplify (+ 0 0) into 0 10.928 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.929 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.929 * [backup-simplify]: Simplify (+ 0) into 0 10.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.931 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.932 * [backup-simplify]: Simplify (- 0) into 0 10.932 * [backup-simplify]: Simplify (+ 0 0) into 0 10.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.933 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.934 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.935 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.936 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.937 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.937 * [backup-simplify]: Simplify (- 0) into 0 10.937 * [backup-simplify]: Simplify (+ 0 0) into 0 10.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.939 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 10.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.940 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 10.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 10.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.945 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 10.946 * [taylor]: Taking taylor expansion of 0 in K 10.946 * [backup-simplify]: Simplify 0 into 0 10.946 * [backup-simplify]: Simplify 0 into 0 10.946 * [taylor]: Taking taylor expansion of 0 in K 10.946 * [backup-simplify]: Simplify 0 into 0 10.946 * [backup-simplify]: Simplify 0 into 0 10.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.948 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.949 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.949 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.950 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.951 * [backup-simplify]: Simplify (- 0) into 0 10.951 * [backup-simplify]: Simplify (+ 0 0) into 0 10.952 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.953 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.953 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 10.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.958 * [backup-simplify]: Simplify (- 0) into 0 10.959 * [backup-simplify]: Simplify (+ 0 0) into 0 10.960 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 10.961 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.961 * [taylor]: Taking taylor expansion of 0 in K 10.961 * [backup-simplify]: Simplify 0 into 0 10.961 * [backup-simplify]: Simplify 0 into 0 10.962 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 10.962 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1 2) 10.962 * [backup-simplify]: Simplify (cbrt (+ 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) 1/3) 10.962 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in (U J K) around 0 10.962 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in K 10.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 10.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 10.963 * [taylor]: Taking taylor expansion of 1/3 in K 10.963 * [backup-simplify]: Simplify 1/3 into 1/3 10.963 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 10.963 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 10.963 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 10.963 * [taylor]: Taking taylor expansion of 1/4 in K 10.963 * [backup-simplify]: Simplify 1/4 into 1/4 10.963 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.963 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.963 * [taylor]: Taking taylor expansion of U in K 10.963 * [backup-simplify]: Simplify U into U 10.963 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.963 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.963 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.963 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.963 * [taylor]: Taking taylor expansion of 1/2 in K 10.963 * [backup-simplify]: Simplify 1/2 into 1/2 10.963 * [taylor]: Taking taylor expansion of K in K 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify 1 into 1 10.964 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.964 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.964 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.964 * [taylor]: Taking taylor expansion of J in K 10.964 * [backup-simplify]: Simplify J into J 10.964 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.965 * [backup-simplify]: Simplify (* 1 1) into 1 10.965 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.965 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.965 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 10.965 * [taylor]: Taking taylor expansion of 1 in K 10.965 * [backup-simplify]: Simplify 1 into 1 10.965 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.966 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.966 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.966 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 10.966 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/3) 10.966 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in J 10.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 10.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 10.967 * [taylor]: Taking taylor expansion of 1/3 in J 10.967 * [backup-simplify]: Simplify 1/3 into 1/3 10.967 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 10.967 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 10.967 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 10.967 * [taylor]: Taking taylor expansion of 1/4 in J 10.967 * [backup-simplify]: Simplify 1/4 into 1/4 10.967 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.967 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.967 * [taylor]: Taking taylor expansion of U in J 10.967 * [backup-simplify]: Simplify U into U 10.967 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.967 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.967 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.967 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.967 * [taylor]: Taking taylor expansion of 1/2 in J 10.967 * [backup-simplify]: Simplify 1/2 into 1/2 10.967 * [taylor]: Taking taylor expansion of K in J 10.967 * [backup-simplify]: Simplify K into K 10.967 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.967 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.967 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.967 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.967 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.968 * [backup-simplify]: Simplify (- 0) into 0 10.968 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.968 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.968 * [taylor]: Taking taylor expansion of J in J 10.968 * [backup-simplify]: Simplify 0 into 0 10.968 * [backup-simplify]: Simplify 1 into 1 10.968 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.968 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.969 * [backup-simplify]: Simplify (* 1 1) into 1 10.969 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.969 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 10.969 * [taylor]: Taking taylor expansion of 1 in J 10.969 * [backup-simplify]: Simplify 1 into 1 10.969 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.970 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.970 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 10.971 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 10.971 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 10.971 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 10.971 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 10.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 10.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 10.971 * [taylor]: Taking taylor expansion of 1/3 in U 10.971 * [backup-simplify]: Simplify 1/3 into 1/3 10.971 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.971 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.972 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.972 * [taylor]: Taking taylor expansion of 1/4 in U 10.972 * [backup-simplify]: Simplify 1/4 into 1/4 10.972 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.972 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.972 * [taylor]: Taking taylor expansion of U in U 10.972 * [backup-simplify]: Simplify 0 into 0 10.972 * [backup-simplify]: Simplify 1 into 1 10.972 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.972 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.972 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.972 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.972 * [taylor]: Taking taylor expansion of 1/2 in U 10.972 * [backup-simplify]: Simplify 1/2 into 1/2 10.972 * [taylor]: Taking taylor expansion of K in U 10.972 * [backup-simplify]: Simplify K into K 10.972 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.972 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.972 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.972 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.972 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.973 * [backup-simplify]: Simplify (- 0) into 0 10.973 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.973 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.973 * [taylor]: Taking taylor expansion of J in U 10.973 * [backup-simplify]: Simplify J into J 10.973 * [backup-simplify]: Simplify (* 1 1) into 1 10.973 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.973 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.974 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.974 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.974 * [taylor]: Taking taylor expansion of 1 in U 10.974 * [backup-simplify]: Simplify 1 into 1 10.974 * [backup-simplify]: Simplify (+ 0 1) into 1 10.975 * [backup-simplify]: Simplify (log 1) into 0 10.975 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.976 * [backup-simplify]: Simplify (+ 0 0) into 0 10.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.978 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.978 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.978 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.980 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.981 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.981 * [backup-simplify]: Simplify (exp 0) into 1 10.981 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 10.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 10.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 10.981 * [taylor]: Taking taylor expansion of 1/3 in U 10.981 * [backup-simplify]: Simplify 1/3 into 1/3 10.981 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.981 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.981 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.981 * [taylor]: Taking taylor expansion of 1/4 in U 10.981 * [backup-simplify]: Simplify 1/4 into 1/4 10.981 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.981 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.981 * [taylor]: Taking taylor expansion of U in U 10.981 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify 1 into 1 10.982 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.982 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.982 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.982 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.982 * [taylor]: Taking taylor expansion of 1/2 in U 10.982 * [backup-simplify]: Simplify 1/2 into 1/2 10.982 * [taylor]: Taking taylor expansion of K in U 10.982 * [backup-simplify]: Simplify K into K 10.982 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.982 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.982 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.982 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.982 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.983 * [backup-simplify]: Simplify (- 0) into 0 10.983 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.983 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.983 * [taylor]: Taking taylor expansion of J in U 10.983 * [backup-simplify]: Simplify J into J 10.983 * [backup-simplify]: Simplify (* 1 1) into 1 10.983 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.983 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.983 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.984 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.984 * [taylor]: Taking taylor expansion of 1 in U 10.984 * [backup-simplify]: Simplify 1 into 1 10.984 * [backup-simplify]: Simplify (+ 0 1) into 1 10.985 * [backup-simplify]: Simplify (log 1) into 0 10.985 * [backup-simplify]: Simplify (* 1/3 0) into 0 10.985 * [backup-simplify]: Simplify (+ 0 0) into 0 10.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.987 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 10.988 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.988 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.990 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.991 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.991 * [backup-simplify]: Simplify (exp 0) into 1 10.991 * [taylor]: Taking taylor expansion of 1 in J 10.991 * [backup-simplify]: Simplify 1 into 1 10.991 * [taylor]: Taking taylor expansion of 1 in K 10.991 * [backup-simplify]: Simplify 1 into 1 10.991 * [backup-simplify]: Simplify 1 into 1 10.992 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 10.992 * [taylor]: Taking taylor expansion of 0 in J 10.992 * [backup-simplify]: Simplify 0 into 0 10.992 * [taylor]: Taking taylor expansion of 0 in K 10.992 * [backup-simplify]: Simplify 0 into 0 10.992 * [backup-simplify]: Simplify 0 into 0 10.992 * [taylor]: Taking taylor expansion of 0 in K 10.992 * [backup-simplify]: Simplify 0 into 0 10.992 * [backup-simplify]: Simplify 0 into 0 10.992 * [backup-simplify]: Simplify 0 into 0 10.993 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.994 * [taylor]: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.994 * [taylor]: Taking taylor expansion of 1/12 in J 10.994 * [backup-simplify]: Simplify 1/12 into 1/12 10.994 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.994 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.994 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.994 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.994 * [taylor]: Taking taylor expansion of 1/2 in J 10.994 * [backup-simplify]: Simplify 1/2 into 1/2 10.994 * [taylor]: Taking taylor expansion of K in J 10.994 * [backup-simplify]: Simplify K into K 10.994 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.994 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.994 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.994 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.994 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.995 * [backup-simplify]: Simplify (- 0) into 0 10.995 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.995 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.995 * [taylor]: Taking taylor expansion of J in J 10.995 * [backup-simplify]: Simplify 0 into 0 10.995 * [backup-simplify]: Simplify 1 into 1 10.995 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.995 * [backup-simplify]: Simplify (* 1 1) into 1 10.995 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.996 * [backup-simplify]: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) 10.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.997 * [backup-simplify]: Simplify (+ 0) into 0 10.997 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.998 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.998 * [backup-simplify]: Simplify (- 0) into 0 10.998 * [backup-simplify]: Simplify (+ 0 0) into 0 10.999 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.999 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.001 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.003 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.003 * [backup-simplify]: Simplify (- 0) into 0 11.004 * [backup-simplify]: Simplify (+ 0 0) into 0 11.004 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.004 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.005 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.005 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.005 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.005 * [taylor]: Taking taylor expansion of 0 in K 11.005 * [backup-simplify]: Simplify 0 into 0 11.005 * [backup-simplify]: Simplify 0 into 0 11.005 * [taylor]: Taking taylor expansion of 0 in K 11.005 * [backup-simplify]: Simplify 0 into 0 11.005 * [backup-simplify]: Simplify 0 into 0 11.005 * [taylor]: Taking taylor expansion of 0 in K 11.005 * [backup-simplify]: Simplify 0 into 0 11.005 * [backup-simplify]: Simplify 0 into 0 11.005 * [backup-simplify]: Simplify 1 into 1 11.006 * [backup-simplify]: Simplify (cbrt (+ 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) 1/3) 11.006 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in (U J K) around 0 11.006 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in K 11.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 11.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 11.006 * [taylor]: Taking taylor expansion of 1/3 in K 11.006 * [backup-simplify]: Simplify 1/3 into 1/3 11.006 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.006 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.006 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.006 * [taylor]: Taking taylor expansion of 1/4 in K 11.006 * [backup-simplify]: Simplify 1/4 into 1/4 11.006 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.006 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.006 * [taylor]: Taking taylor expansion of J in K 11.006 * [backup-simplify]: Simplify J into J 11.006 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.006 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.006 * [taylor]: Taking taylor expansion of U in K 11.006 * [backup-simplify]: Simplify U into U 11.006 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.006 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.006 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.006 * [taylor]: Taking taylor expansion of 1/2 in K 11.006 * [backup-simplify]: Simplify 1/2 into 1/2 11.006 * [taylor]: Taking taylor expansion of K in K 11.006 * [backup-simplify]: Simplify 0 into 0 11.006 * [backup-simplify]: Simplify 1 into 1 11.006 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.006 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.006 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.006 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.007 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.007 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.007 * [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))) 11.007 * [taylor]: Taking taylor expansion of 1 in K 11.007 * [backup-simplify]: Simplify 1 into 1 11.007 * [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)))) 11.007 * [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) 11.007 * [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)) 11.008 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 11.008 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 11.008 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in J 11.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 11.008 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 11.008 * [taylor]: Taking taylor expansion of 1/3 in J 11.008 * [backup-simplify]: Simplify 1/3 into 1/3 11.008 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.008 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.008 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.008 * [taylor]: Taking taylor expansion of 1/4 in J 11.008 * [backup-simplify]: Simplify 1/4 into 1/4 11.008 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.008 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.008 * [taylor]: Taking taylor expansion of J in J 11.008 * [backup-simplify]: Simplify 0 into 0 11.008 * [backup-simplify]: Simplify 1 into 1 11.008 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.008 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.008 * [taylor]: Taking taylor expansion of U in J 11.008 * [backup-simplify]: Simplify U into U 11.008 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.008 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.008 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.008 * [taylor]: Taking taylor expansion of 1/2 in J 11.008 * [backup-simplify]: Simplify 1/2 into 1/2 11.008 * [taylor]: Taking taylor expansion of K in J 11.008 * [backup-simplify]: Simplify K into K 11.008 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.008 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.008 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.008 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.009 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.009 * [backup-simplify]: Simplify (- 0) into 0 11.009 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.009 * [backup-simplify]: Simplify (* 1 1) into 1 11.009 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.009 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.009 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.009 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.009 * [taylor]: Taking taylor expansion of 1 in J 11.009 * [backup-simplify]: Simplify 1 into 1 11.010 * [backup-simplify]: Simplify (+ 0 1) into 1 11.010 * [backup-simplify]: Simplify (log 1) into 0 11.010 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.011 * [backup-simplify]: Simplify (+ 0 0) into 0 11.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.012 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.012 * [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))) 11.012 * [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)))) 11.013 * [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))) 11.014 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.014 * [backup-simplify]: Simplify (exp 0) into 1 11.014 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 11.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.014 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.014 * [taylor]: Taking taylor expansion of 1/3 in U 11.014 * [backup-simplify]: Simplify 1/3 into 1/3 11.014 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.014 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.014 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.014 * [taylor]: Taking taylor expansion of 1/4 in U 11.014 * [backup-simplify]: Simplify 1/4 into 1/4 11.014 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.014 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.014 * [taylor]: Taking taylor expansion of J in U 11.014 * [backup-simplify]: Simplify J into J 11.014 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.014 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.014 * [taylor]: Taking taylor expansion of U in U 11.014 * [backup-simplify]: Simplify 0 into 0 11.014 * [backup-simplify]: Simplify 1 into 1 11.014 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.014 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.014 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.014 * [taylor]: Taking taylor expansion of 1/2 in U 11.014 * [backup-simplify]: Simplify 1/2 into 1/2 11.014 * [taylor]: Taking taylor expansion of K in U 11.014 * [backup-simplify]: Simplify K into K 11.014 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.014 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.014 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.014 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.014 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.015 * [backup-simplify]: Simplify (- 0) into 0 11.015 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.015 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.015 * [backup-simplify]: Simplify (* 1 1) into 1 11.015 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.015 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.015 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.015 * [taylor]: Taking taylor expansion of 1 in U 11.015 * [backup-simplify]: Simplify 1 into 1 11.015 * [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))) 11.015 * [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))) 11.016 * [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)))) 11.016 * [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))) 11.016 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.016 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.016 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 11.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.016 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.016 * [taylor]: Taking taylor expansion of 1/3 in U 11.017 * [backup-simplify]: Simplify 1/3 into 1/3 11.017 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.017 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.017 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.017 * [taylor]: Taking taylor expansion of 1/4 in U 11.017 * [backup-simplify]: Simplify 1/4 into 1/4 11.017 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.017 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.017 * [taylor]: Taking taylor expansion of J in U 11.017 * [backup-simplify]: Simplify J into J 11.017 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.017 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.017 * [taylor]: Taking taylor expansion of U in U 11.017 * [backup-simplify]: Simplify 0 into 0 11.017 * [backup-simplify]: Simplify 1 into 1 11.017 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.017 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.017 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.017 * [taylor]: Taking taylor expansion of 1/2 in U 11.017 * [backup-simplify]: Simplify 1/2 into 1/2 11.017 * [taylor]: Taking taylor expansion of K in U 11.017 * [backup-simplify]: Simplify K into K 11.017 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.017 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.017 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.017 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.017 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.017 * [backup-simplify]: Simplify (- 0) into 0 11.017 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.017 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.018 * [backup-simplify]: Simplify (* 1 1) into 1 11.018 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.018 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.018 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.018 * [taylor]: Taking taylor expansion of 1 in U 11.018 * [backup-simplify]: Simplify 1 into 1 11.018 * [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))) 11.018 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.018 * [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)))) 11.019 * [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))) 11.019 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.019 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.019 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.019 * [taylor]: Taking taylor expansion of 1/3 in J 11.019 * [backup-simplify]: Simplify 1/3 into 1/3 11.019 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.019 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.019 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.019 * [taylor]: Taking taylor expansion of 1/4 in J 11.019 * [backup-simplify]: Simplify 1/4 into 1/4 11.019 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.019 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.019 * [taylor]: Taking taylor expansion of J in J 11.019 * [backup-simplify]: Simplify 0 into 0 11.019 * [backup-simplify]: Simplify 1 into 1 11.019 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.019 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.020 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.020 * [taylor]: Taking taylor expansion of 1/2 in J 11.020 * [backup-simplify]: Simplify 1/2 into 1/2 11.020 * [taylor]: Taking taylor expansion of K in J 11.020 * [backup-simplify]: Simplify K into K 11.020 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.020 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.020 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.020 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.020 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.020 * [backup-simplify]: Simplify (- 0) into 0 11.020 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.020 * [backup-simplify]: Simplify (* 1 1) into 1 11.020 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.021 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.021 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.021 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.021 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.021 * [taylor]: Taking taylor expansion of 2 in J 11.021 * [backup-simplify]: Simplify 2 into 2 11.021 * [taylor]: Taking taylor expansion of (log U) in J 11.021 * [taylor]: Taking taylor expansion of U in J 11.021 * [backup-simplify]: Simplify U into U 11.021 * [backup-simplify]: Simplify (log U) into (log U) 11.021 * [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)))) 11.021 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.021 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.021 * [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))) 11.022 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.022 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.022 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.022 * [taylor]: Taking taylor expansion of 1/3 in K 11.022 * [backup-simplify]: Simplify 1/3 into 1/3 11.022 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.022 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 11.022 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.022 * [taylor]: Taking taylor expansion of 2 in K 11.022 * [backup-simplify]: Simplify 2 into 2 11.022 * [taylor]: Taking taylor expansion of (log J) in K 11.022 * [taylor]: Taking taylor expansion of J in K 11.022 * [backup-simplify]: Simplify J into J 11.022 * [backup-simplify]: Simplify (log J) into (log J) 11.022 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 11.022 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 11.022 * [taylor]: Taking taylor expansion of 1/4 in K 11.022 * [backup-simplify]: Simplify 1/4 into 1/4 11.022 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.022 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.022 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.022 * [taylor]: Taking taylor expansion of 1/2 in K 11.022 * [backup-simplify]: Simplify 1/2 into 1/2 11.022 * [taylor]: Taking taylor expansion of K in K 11.022 * [backup-simplify]: Simplify 0 into 0 11.022 * [backup-simplify]: Simplify 1 into 1 11.023 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.023 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.023 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.023 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.023 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.023 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.023 * [taylor]: Taking taylor expansion of 2 in K 11.023 * [backup-simplify]: Simplify 2 into 2 11.023 * [taylor]: Taking taylor expansion of (log U) in K 11.023 * [taylor]: Taking taylor expansion of U in K 11.023 * [backup-simplify]: Simplify U into U 11.023 * [backup-simplify]: Simplify (log U) into (log U) 11.023 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.023 * [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)))) 11.023 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.023 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.023 * [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))) 11.024 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.024 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.024 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.024 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.024 * [backup-simplify]: Simplify (+ 0) into 0 11.025 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.025 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.026 * [backup-simplify]: Simplify (- 0) into 0 11.026 * [backup-simplify]: Simplify (+ 0 0) into 0 11.026 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.027 * [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 11.027 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.028 * [backup-simplify]: Simplify (+ 0 0) into 0 11.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.029 * [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))) 11.029 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.030 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.030 * [taylor]: Taking taylor expansion of 0 in J 11.030 * [backup-simplify]: Simplify 0 into 0 11.030 * [taylor]: Taking taylor expansion of 0 in K 11.030 * [backup-simplify]: Simplify 0 into 0 11.030 * [backup-simplify]: Simplify 0 into 0 11.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.031 * [backup-simplify]: Simplify (+ 0) into 0 11.031 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.032 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.032 * [backup-simplify]: Simplify (- 0) into 0 11.033 * [backup-simplify]: Simplify (+ 0 0) into 0 11.033 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.033 * [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 11.033 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.035 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.035 * [backup-simplify]: Simplify (- 0) into 0 11.035 * [backup-simplify]: Simplify (+ 0 0) into 0 11.036 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.036 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.036 * [taylor]: Taking taylor expansion of 0 in K 11.036 * [backup-simplify]: Simplify 0 into 0 11.036 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.037 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.037 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.037 * [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 11.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.039 * [backup-simplify]: Simplify (+ 0 0) into 0 11.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.039 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.040 * [backup-simplify]: Simplify (- 0) into 0 11.040 * [backup-simplify]: Simplify (+ 0 0) into 0 11.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.041 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.041 * [backup-simplify]: Simplify 0 into 0 11.041 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.042 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.042 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.043 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.043 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.043 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.044 * [backup-simplify]: Simplify (- 0) into 0 11.044 * [backup-simplify]: Simplify (+ 0 0) into 0 11.044 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.046 * [backup-simplify]: 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 11.046 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.047 * [backup-simplify]: Simplify (+ 0 1) into 1 11.048 * [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))) 11.049 * [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))) 11.049 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.050 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 11.050 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 11.050 * [taylor]: Taking taylor expansion of 4/3 in J 11.050 * [backup-simplify]: Simplify 4/3 into 4/3 11.050 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 11.050 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 11.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.050 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.050 * [taylor]: Taking taylor expansion of 1/3 in J 11.050 * [backup-simplify]: Simplify 1/3 into 1/3 11.050 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.050 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.050 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.050 * [taylor]: Taking taylor expansion of 1/4 in J 11.050 * [backup-simplify]: Simplify 1/4 into 1/4 11.050 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.050 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.050 * [taylor]: Taking taylor expansion of J in J 11.050 * [backup-simplify]: Simplify 0 into 0 11.050 * [backup-simplify]: Simplify 1 into 1 11.050 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.051 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.051 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.051 * [taylor]: Taking taylor expansion of 1/2 in J 11.051 * [backup-simplify]: Simplify 1/2 into 1/2 11.051 * [taylor]: Taking taylor expansion of K in J 11.051 * [backup-simplify]: Simplify K into K 11.051 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.051 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.051 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.051 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.051 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.051 * [backup-simplify]: Simplify (- 0) into 0 11.051 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.051 * [backup-simplify]: Simplify (* 1 1) into 1 11.051 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.052 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.052 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.052 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.052 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.052 * [taylor]: Taking taylor expansion of 2 in J 11.052 * [backup-simplify]: Simplify 2 into 2 11.052 * [taylor]: Taking taylor expansion of (log U) in J 11.052 * [taylor]: Taking taylor expansion of U in J 11.052 * [backup-simplify]: Simplify U into U 11.052 * [backup-simplify]: Simplify (log U) into (log U) 11.052 * [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)))) 11.052 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.052 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.052 * [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))) 11.053 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.053 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.053 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.053 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.053 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.053 * [taylor]: Taking taylor expansion of 1/2 in J 11.053 * [backup-simplify]: Simplify 1/2 into 1/2 11.053 * [taylor]: Taking taylor expansion of K in J 11.053 * [backup-simplify]: Simplify K into K 11.053 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.053 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.053 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.053 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.053 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.053 * [backup-simplify]: Simplify (- 0) into 0 11.054 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.054 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.054 * [taylor]: Taking taylor expansion of J in J 11.054 * [backup-simplify]: Simplify 0 into 0 11.054 * [backup-simplify]: Simplify 1 into 1 11.054 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.054 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.054 * [backup-simplify]: Simplify (* 1 1) into 1 11.054 * [backup-simplify]: Simplify (/ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.055 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.055 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.055 * [backup-simplify]: Simplify (+ 0) into 0 11.056 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.056 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.056 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.057 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.057 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.057 * [backup-simplify]: Simplify (- 0) into 0 11.058 * [backup-simplify]: Simplify (+ 0 0) into 0 11.058 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.058 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.058 * [backup-simplify]: Simplify (- 0) into 0 11.059 * [backup-simplify]: Simplify (+ 0 0) into 0 11.059 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.060 * [backup-simplify]: Simplify (+ 0) into 0 11.060 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.060 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.061 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.061 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.061 * [backup-simplify]: Simplify (- 0) into 0 11.061 * [backup-simplify]: Simplify (+ 0 0) into 0 11.061 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.062 * [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 11.062 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.063 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.064 * [backup-simplify]: Simplify (- 0) into 0 11.064 * [backup-simplify]: Simplify (+ 0 0) into 0 11.064 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.065 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.065 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.066 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.067 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.067 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.068 * [backup-simplify]: Simplify (- 0) into 0 11.068 * [backup-simplify]: Simplify (+ 0 0) into 0 11.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.069 * [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 11.069 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.070 * [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 11.071 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.072 * [backup-simplify]: Simplify (- 0) into 0 11.072 * [backup-simplify]: Simplify (+ 0 0) into 0 11.073 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.074 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.074 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.075 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 11.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.078 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 11.078 * [taylor]: Taking taylor expansion of 0 in K 11.078 * [backup-simplify]: Simplify 0 into 0 11.078 * [backup-simplify]: Simplify 0 into 0 11.078 * [taylor]: Taking taylor expansion of 0 in K 11.078 * [backup-simplify]: Simplify 0 into 0 11.078 * [backup-simplify]: Simplify 0 into 0 11.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.080 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.080 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.081 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.081 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.081 * [backup-simplify]: Simplify (- 0) into 0 11.082 * [backup-simplify]: Simplify (+ 0 0) into 0 11.082 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.082 * [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 11.083 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.084 * [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 11.085 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.085 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.085 * [backup-simplify]: Simplify (- 0) into 0 11.086 * [backup-simplify]: Simplify (+ 0 0) into 0 11.086 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.087 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.087 * [taylor]: Taking taylor expansion of 0 in K 11.087 * [backup-simplify]: Simplify 0 into 0 11.087 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 11.088 * [backup-simplify]: Simplify (cbrt (+ 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))))) 1/3) 11.088 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in (U J K) around 0 11.088 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in K 11.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 11.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 11.088 * [taylor]: Taking taylor expansion of 1/3 in K 11.088 * [backup-simplify]: Simplify 1/3 into 1/3 11.088 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.088 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.088 * [taylor]: Taking taylor expansion of 1 in K 11.088 * [backup-simplify]: Simplify 1 into 1 11.088 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.088 * [taylor]: Taking taylor expansion of 1/4 in K 11.088 * [backup-simplify]: Simplify 1/4 into 1/4 11.088 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.088 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.088 * [taylor]: Taking taylor expansion of J in K 11.088 * [backup-simplify]: Simplify J into J 11.088 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.088 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.088 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.088 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.088 * [taylor]: Taking taylor expansion of -1/2 in K 11.088 * [backup-simplify]: Simplify -1/2 into -1/2 11.088 * [taylor]: Taking taylor expansion of K in K 11.088 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify 1 into 1 11.089 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.089 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.089 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.089 * [taylor]: Taking taylor expansion of U in K 11.089 * [backup-simplify]: Simplify U into U 11.089 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.089 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.089 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.089 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.089 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.089 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.089 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 11.090 * [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)))))) 11.090 * [backup-simplify]: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 11.090 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 11.090 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in J 11.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 11.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 11.090 * [taylor]: Taking taylor expansion of 1/3 in J 11.090 * [backup-simplify]: Simplify 1/3 into 1/3 11.090 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.090 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.090 * [taylor]: Taking taylor expansion of 1 in J 11.090 * [backup-simplify]: Simplify 1 into 1 11.090 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.090 * [taylor]: Taking taylor expansion of 1/4 in J 11.090 * [backup-simplify]: Simplify 1/4 into 1/4 11.090 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.090 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.090 * [taylor]: Taking taylor expansion of J in J 11.090 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify 1 into 1 11.090 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.090 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.090 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.091 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.091 * [taylor]: Taking taylor expansion of -1/2 in J 11.091 * [backup-simplify]: Simplify -1/2 into -1/2 11.091 * [taylor]: Taking taylor expansion of K in J 11.091 * [backup-simplify]: Simplify K into K 11.091 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.091 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.091 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.091 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.091 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.091 * [backup-simplify]: Simplify (- 0) into 0 11.091 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.091 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.091 * [taylor]: Taking taylor expansion of U in J 11.091 * [backup-simplify]: Simplify U into U 11.091 * [backup-simplify]: Simplify (* 1 1) into 1 11.091 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.092 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.092 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.092 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.092 * [backup-simplify]: Simplify (+ 1 0) into 1 11.092 * [backup-simplify]: Simplify (log 1) into 0 11.093 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.093 * [backup-simplify]: Simplify (+ 0 0) into 0 11.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.094 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.094 * [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))) 11.094 * [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)))) 11.097 * [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))) 11.097 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.098 * [backup-simplify]: Simplify (exp 0) into 1 11.098 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 11.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.098 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.098 * [taylor]: Taking taylor expansion of 1/3 in U 11.098 * [backup-simplify]: Simplify 1/3 into 1/3 11.098 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.098 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.098 * [taylor]: Taking taylor expansion of 1 in U 11.098 * [backup-simplify]: Simplify 1 into 1 11.098 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.098 * [taylor]: Taking taylor expansion of 1/4 in U 11.098 * [backup-simplify]: Simplify 1/4 into 1/4 11.098 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.098 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.098 * [taylor]: Taking taylor expansion of J in U 11.098 * [backup-simplify]: Simplify J into J 11.098 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.098 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.098 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.098 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.098 * [taylor]: Taking taylor expansion of -1/2 in U 11.098 * [backup-simplify]: Simplify -1/2 into -1/2 11.098 * [taylor]: Taking taylor expansion of K in U 11.098 * [backup-simplify]: Simplify K into K 11.098 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.098 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.098 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.098 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.098 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.098 * [backup-simplify]: Simplify (- 0) into 0 11.098 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.098 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.099 * [taylor]: Taking taylor expansion of U in U 11.099 * [backup-simplify]: Simplify 0 into 0 11.099 * [backup-simplify]: Simplify 1 into 1 11.099 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.099 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.099 * [backup-simplify]: Simplify (* 1 1) into 1 11.099 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.099 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.099 * [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))) 11.099 * [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))) 11.099 * [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)))) 11.100 * [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))) 11.100 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.100 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.100 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 11.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.100 * [taylor]: Taking taylor expansion of 1/3 in U 11.100 * [backup-simplify]: Simplify 1/3 into 1/3 11.100 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.100 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.100 * [taylor]: Taking taylor expansion of 1 in U 11.100 * [backup-simplify]: Simplify 1 into 1 11.100 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.100 * [taylor]: Taking taylor expansion of 1/4 in U 11.100 * [backup-simplify]: Simplify 1/4 into 1/4 11.100 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.100 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.101 * [taylor]: Taking taylor expansion of J in U 11.101 * [backup-simplify]: Simplify J into J 11.101 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.101 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.101 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.101 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.101 * [taylor]: Taking taylor expansion of -1/2 in U 11.101 * [backup-simplify]: Simplify -1/2 into -1/2 11.101 * [taylor]: Taking taylor expansion of K in U 11.101 * [backup-simplify]: Simplify K into K 11.101 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.101 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.101 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.101 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.101 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.101 * [backup-simplify]: Simplify (- 0) into 0 11.101 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.101 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.101 * [taylor]: Taking taylor expansion of U in U 11.101 * [backup-simplify]: Simplify 0 into 0 11.101 * [backup-simplify]: Simplify 1 into 1 11.101 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.101 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.102 * [backup-simplify]: Simplify (* 1 1) into 1 11.102 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.102 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.102 * [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))) 11.102 * [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))) 11.102 * [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)))) 11.103 * [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))) 11.103 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.103 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.103 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.103 * [taylor]: Taking taylor expansion of 1/3 in J 11.103 * [backup-simplify]: Simplify 1/3 into 1/3 11.103 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.103 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.103 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.103 * [taylor]: Taking taylor expansion of 1/4 in J 11.103 * [backup-simplify]: Simplify 1/4 into 1/4 11.103 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.103 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.103 * [taylor]: Taking taylor expansion of J in J 11.103 * [backup-simplify]: Simplify 0 into 0 11.103 * [backup-simplify]: Simplify 1 into 1 11.103 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.103 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.103 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.103 * [taylor]: Taking taylor expansion of -1/2 in J 11.103 * [backup-simplify]: Simplify -1/2 into -1/2 11.103 * [taylor]: Taking taylor expansion of K in J 11.103 * [backup-simplify]: Simplify K into K 11.103 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.103 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.103 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.104 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.104 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.104 * [backup-simplify]: Simplify (- 0) into 0 11.104 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.104 * [backup-simplify]: Simplify (* 1 1) into 1 11.104 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.104 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.105 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.105 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.105 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.105 * [taylor]: Taking taylor expansion of 2 in J 11.105 * [backup-simplify]: Simplify 2 into 2 11.105 * [taylor]: Taking taylor expansion of (log U) in J 11.105 * [taylor]: Taking taylor expansion of U in J 11.105 * [backup-simplify]: Simplify U into U 11.105 * [backup-simplify]: Simplify (log U) into (log U) 11.106 * [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)))) 11.106 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.106 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.106 * [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))) 11.106 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.107 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.107 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.107 * [taylor]: Taking taylor expansion of 1/3 in K 11.107 * [backup-simplify]: Simplify 1/3 into 1/3 11.107 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.107 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 11.107 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.107 * [taylor]: Taking taylor expansion of 2 in K 11.107 * [backup-simplify]: Simplify 2 into 2 11.107 * [taylor]: Taking taylor expansion of (log J) in K 11.107 * [taylor]: Taking taylor expansion of J in K 11.107 * [backup-simplify]: Simplify J into J 11.107 * [backup-simplify]: Simplify (log J) into (log J) 11.107 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 11.107 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 11.107 * [taylor]: Taking taylor expansion of 1/4 in K 11.107 * [backup-simplify]: Simplify 1/4 into 1/4 11.107 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.107 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.107 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.107 * [taylor]: Taking taylor expansion of -1/2 in K 11.107 * [backup-simplify]: Simplify -1/2 into -1/2 11.107 * [taylor]: Taking taylor expansion of K in K 11.107 * [backup-simplify]: Simplify 0 into 0 11.107 * [backup-simplify]: Simplify 1 into 1 11.108 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.108 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.108 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.108 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.108 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.108 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.108 * [taylor]: Taking taylor expansion of 2 in K 11.108 * [backup-simplify]: Simplify 2 into 2 11.108 * [taylor]: Taking taylor expansion of (log U) in K 11.109 * [taylor]: Taking taylor expansion of U in K 11.109 * [backup-simplify]: Simplify U into U 11.109 * [backup-simplify]: Simplify (log U) into (log U) 11.109 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.109 * [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)))) 11.109 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.109 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.109 * [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))) 11.110 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.110 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.110 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.110 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.112 * [backup-simplify]: Simplify (+ 0) into 0 11.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.114 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.114 * [backup-simplify]: Simplify (- 0) into 0 11.114 * [backup-simplify]: Simplify (+ 0 0) into 0 11.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.115 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.115 * [backup-simplify]: 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 11.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.117 * [backup-simplify]: Simplify (+ 0 0) into 0 11.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.118 * [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))) 11.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.120 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.120 * [taylor]: Taking taylor expansion of 0 in J 11.120 * [backup-simplify]: Simplify 0 into 0 11.120 * [taylor]: Taking taylor expansion of 0 in K 11.120 * [backup-simplify]: Simplify 0 into 0 11.120 * [backup-simplify]: Simplify 0 into 0 11.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.121 * [backup-simplify]: Simplify (+ 0) into 0 11.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.122 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.123 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.123 * [backup-simplify]: Simplify (- 0) into 0 11.124 * [backup-simplify]: Simplify (+ 0 0) into 0 11.124 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.124 * [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 11.125 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.127 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.127 * [backup-simplify]: Simplify (- 0) into 0 11.128 * [backup-simplify]: Simplify (+ 0 0) into 0 11.129 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.130 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.130 * [taylor]: Taking taylor expansion of 0 in K 11.130 * [backup-simplify]: Simplify 0 into 0 11.130 * [backup-simplify]: Simplify 0 into 0 11.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.132 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.132 * [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 11.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.133 * [backup-simplify]: Simplify (+ 0 0) into 0 11.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.134 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.134 * [backup-simplify]: Simplify (- 0) into 0 11.134 * [backup-simplify]: Simplify (+ 0 0) into 0 11.134 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.135 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.135 * [backup-simplify]: Simplify 0 into 0 11.135 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.137 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.137 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.138 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.138 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.138 * [backup-simplify]: Simplify (- 0) into 0 11.139 * [backup-simplify]: Simplify (+ 0 0) into 0 11.139 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.139 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.140 * [backup-simplify]: 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 11.140 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.141 * [backup-simplify]: Simplify (+ 1 0) into 1 11.142 * [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))) 11.142 * [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))) 11.143 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 11.144 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 11.144 * [taylor]: Taking taylor expansion of 4/3 in J 11.144 * [backup-simplify]: Simplify 4/3 into 4/3 11.144 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 11.144 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 11.144 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.144 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.144 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.144 * [taylor]: Taking taylor expansion of -1/2 in J 11.144 * [backup-simplify]: Simplify -1/2 into -1/2 11.144 * [taylor]: Taking taylor expansion of K in J 11.144 * [backup-simplify]: Simplify K into K 11.144 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.144 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.144 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.144 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.144 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.145 * [backup-simplify]: Simplify (- 0) into 0 11.145 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.145 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.145 * [taylor]: Taking taylor expansion of 1/3 in J 11.145 * [backup-simplify]: Simplify 1/3 into 1/3 11.145 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.145 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.145 * [taylor]: Taking taylor expansion of 1/4 in J 11.145 * [backup-simplify]: Simplify 1/4 into 1/4 11.145 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.145 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.145 * [taylor]: Taking taylor expansion of J in J 11.145 * [backup-simplify]: Simplify 0 into 0 11.145 * [backup-simplify]: Simplify 1 into 1 11.145 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.145 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.145 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.145 * [taylor]: Taking taylor expansion of -1/2 in J 11.145 * [backup-simplify]: Simplify -1/2 into -1/2 11.145 * [taylor]: Taking taylor expansion of K in J 11.145 * [backup-simplify]: Simplify K into K 11.145 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.145 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.145 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.145 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.146 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.146 * [backup-simplify]: Simplify (- 0) into 0 11.146 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.146 * [backup-simplify]: Simplify (* 1 1) into 1 11.146 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.146 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.146 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.146 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.146 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.146 * [taylor]: Taking taylor expansion of 2 in J 11.146 * [backup-simplify]: Simplify 2 into 2 11.146 * [taylor]: Taking taylor expansion of (log U) in J 11.147 * [taylor]: Taking taylor expansion of U in J 11.147 * [backup-simplify]: Simplify U into U 11.147 * [backup-simplify]: Simplify (log U) into (log U) 11.147 * [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)))) 11.147 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.147 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.147 * [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))) 11.147 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.148 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.148 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.148 * [taylor]: Taking taylor expansion of J in J 11.148 * [backup-simplify]: Simplify 0 into 0 11.148 * [backup-simplify]: Simplify 1 into 1 11.148 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.148 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.148 * [backup-simplify]: Simplify (* 1 1) into 1 11.148 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.149 * [backup-simplify]: Simplify (+ 0) into 0 11.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.150 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.151 * [backup-simplify]: Simplify (- 0) into 0 11.151 * [backup-simplify]: Simplify (+ 0 0) into 0 11.151 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.151 * [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 11.151 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.153 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.153 * [backup-simplify]: Simplify (- 0) into 0 11.153 * [backup-simplify]: Simplify (+ 0 0) into 0 11.154 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.155 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.156 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.156 * [backup-simplify]: Simplify (- 0) into 0 11.157 * [backup-simplify]: Simplify (+ 0 0) into 0 11.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.157 * [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 11.158 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.159 * [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 11.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.160 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.161 * [backup-simplify]: Simplify (- 0) into 0 11.161 * [backup-simplify]: Simplify (+ 0 0) into 0 11.162 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.164 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.164 * [backup-simplify]: Simplify (+ 0) into 0 11.165 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.165 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.166 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.166 * [backup-simplify]: Simplify (- 0) into 0 11.167 * [backup-simplify]: Simplify (+ 0 0) into 0 11.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.168 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.169 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.170 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.171 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.171 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.171 * [backup-simplify]: Simplify (- 0) into 0 11.172 * [backup-simplify]: Simplify (+ 0 0) into 0 11.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.173 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 11.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.175 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 11.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 11.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.179 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 11.179 * [taylor]: Taking taylor expansion of 0 in K 11.179 * [backup-simplify]: Simplify 0 into 0 11.179 * [backup-simplify]: Simplify 0 into 0 11.180 * [taylor]: Taking taylor expansion of 0 in K 11.180 * [backup-simplify]: Simplify 0 into 0 11.180 * [backup-simplify]: Simplify 0 into 0 11.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.181 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.182 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.183 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.184 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.184 * [backup-simplify]: Simplify (- 0) into 0 11.184 * [backup-simplify]: Simplify (+ 0 0) into 0 11.185 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.185 * [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 11.186 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 11.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.191 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.191 * [backup-simplify]: Simplify (- 0) into 0 11.191 * [backup-simplify]: Simplify (+ 0 0) into 0 11.192 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.194 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.194 * [taylor]: Taking taylor expansion of 0 in K 11.194 * [backup-simplify]: Simplify 0 into 0 11.194 * [backup-simplify]: Simplify 0 into 0 11.195 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 11.195 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 11.195 * [backup-simplify]: Simplify (cbrt (+ 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) 1/3) 11.195 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in (U J K) around 0 11.195 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in K 11.195 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 11.195 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 11.195 * [taylor]: Taking taylor expansion of 1/3 in K 11.195 * [backup-simplify]: Simplify 1/3 into 1/3 11.195 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.195 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.195 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.195 * [taylor]: Taking taylor expansion of 1/4 in K 11.195 * [backup-simplify]: Simplify 1/4 into 1/4 11.196 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.196 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.196 * [taylor]: Taking taylor expansion of U in K 11.196 * [backup-simplify]: Simplify U into U 11.196 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.196 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.196 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.196 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.196 * [taylor]: Taking taylor expansion of 1/2 in K 11.196 * [backup-simplify]: Simplify 1/2 into 1/2 11.196 * [taylor]: Taking taylor expansion of K in K 11.196 * [backup-simplify]: Simplify 0 into 0 11.196 * [backup-simplify]: Simplify 1 into 1 11.196 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.197 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.197 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.197 * [taylor]: Taking taylor expansion of J in K 11.197 * [backup-simplify]: Simplify J into J 11.197 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.198 * [backup-simplify]: Simplify (* 1 1) into 1 11.198 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.198 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.198 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.198 * [taylor]: Taking taylor expansion of 1 in K 11.198 * [backup-simplify]: Simplify 1 into 1 11.198 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.198 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.199 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.199 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 11.199 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/3) 11.199 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in J 11.199 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 11.199 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 11.199 * [taylor]: Taking taylor expansion of 1/3 in J 11.199 * [backup-simplify]: Simplify 1/3 into 1/3 11.199 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.199 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.199 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.199 * [taylor]: Taking taylor expansion of 1/4 in J 11.199 * [backup-simplify]: Simplify 1/4 into 1/4 11.199 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.200 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.200 * [taylor]: Taking taylor expansion of U in J 11.200 * [backup-simplify]: Simplify U into U 11.200 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.200 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.200 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.200 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.200 * [taylor]: Taking taylor expansion of 1/2 in J 11.200 * [backup-simplify]: Simplify 1/2 into 1/2 11.200 * [taylor]: Taking taylor expansion of K in J 11.200 * [backup-simplify]: Simplify K into K 11.200 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.200 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.200 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.200 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.200 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.201 * [backup-simplify]: Simplify (- 0) into 0 11.201 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.201 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.201 * [taylor]: Taking taylor expansion of J in J 11.201 * [backup-simplify]: Simplify 0 into 0 11.201 * [backup-simplify]: Simplify 1 into 1 11.201 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.201 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.201 * [backup-simplify]: Simplify (* 1 1) into 1 11.201 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.202 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.202 * [taylor]: Taking taylor expansion of 1 in J 11.202 * [backup-simplify]: Simplify 1 into 1 11.202 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.202 * [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))) 11.202 * [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)))) 11.203 * [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))) 11.203 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 11.204 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 11.204 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 11.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.204 * [taylor]: Taking taylor expansion of 1/3 in U 11.204 * [backup-simplify]: Simplify 1/3 into 1/3 11.204 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.204 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.204 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.204 * [taylor]: Taking taylor expansion of 1/4 in U 11.204 * [backup-simplify]: Simplify 1/4 into 1/4 11.204 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.204 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.204 * [taylor]: Taking taylor expansion of U in U 11.204 * [backup-simplify]: Simplify 0 into 0 11.204 * [backup-simplify]: Simplify 1 into 1 11.204 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.204 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.204 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.204 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.204 * [taylor]: Taking taylor expansion of 1/2 in U 11.204 * [backup-simplify]: Simplify 1/2 into 1/2 11.204 * [taylor]: Taking taylor expansion of K in U 11.204 * [backup-simplify]: Simplify K into K 11.204 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.204 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.205 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.205 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.205 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.205 * [backup-simplify]: Simplify (- 0) into 0 11.205 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.205 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.205 * [taylor]: Taking taylor expansion of J in U 11.205 * [backup-simplify]: Simplify J into J 11.206 * [backup-simplify]: Simplify (* 1 1) into 1 11.206 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.206 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.206 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.206 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.206 * [taylor]: Taking taylor expansion of 1 in U 11.206 * [backup-simplify]: Simplify 1 into 1 11.207 * [backup-simplify]: Simplify (+ 0 1) into 1 11.207 * [backup-simplify]: Simplify (log 1) into 0 11.207 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.208 * [backup-simplify]: Simplify (+ 0 0) into 0 11.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.210 * [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))) 11.211 * [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)))) 11.213 * [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))) 11.213 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.214 * [backup-simplify]: Simplify (exp 0) into 1 11.214 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 11.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.214 * [taylor]: Taking taylor expansion of 1/3 in U 11.214 * [backup-simplify]: Simplify 1/3 into 1/3 11.214 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.214 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.214 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.214 * [taylor]: Taking taylor expansion of 1/4 in U 11.214 * [backup-simplify]: Simplify 1/4 into 1/4 11.214 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.214 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.214 * [taylor]: Taking taylor expansion of U in U 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 1 into 1 11.214 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.214 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.214 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.214 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.214 * [taylor]: Taking taylor expansion of 1/2 in U 11.214 * [backup-simplify]: Simplify 1/2 into 1/2 11.214 * [taylor]: Taking taylor expansion of K in U 11.214 * [backup-simplify]: Simplify K into K 11.214 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.214 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.214 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.214 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.215 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.215 * [backup-simplify]: Simplify (- 0) into 0 11.215 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.215 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.215 * [taylor]: Taking taylor expansion of J in U 11.215 * [backup-simplify]: Simplify J into J 11.216 * [backup-simplify]: Simplify (* 1 1) into 1 11.216 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.216 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.216 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.216 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.216 * [taylor]: Taking taylor expansion of 1 in U 11.216 * [backup-simplify]: Simplify 1 into 1 11.217 * [backup-simplify]: Simplify (+ 0 1) into 1 11.217 * [backup-simplify]: Simplify (log 1) into 0 11.217 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.218 * [backup-simplify]: Simplify (+ 0 0) into 0 11.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.220 * [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))) 11.220 * [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)))) 11.223 * [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))) 11.225 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.225 * [backup-simplify]: Simplify (exp 0) into 1 11.225 * [taylor]: Taking taylor expansion of 1 in J 11.225 * [backup-simplify]: Simplify 1 into 1 11.225 * [taylor]: Taking taylor expansion of 1 in K 11.226 * [backup-simplify]: Simplify 1 into 1 11.226 * [backup-simplify]: Simplify 1 into 1 11.227 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 11.227 * [taylor]: Taking taylor expansion of 0 in J 11.227 * [backup-simplify]: Simplify 0 into 0 11.227 * [taylor]: Taking taylor expansion of 0 in K 11.227 * [backup-simplify]: Simplify 0 into 0 11.227 * [backup-simplify]: Simplify 0 into 0 11.227 * [taylor]: Taking taylor expansion of 0 in K 11.227 * [backup-simplify]: Simplify 0 into 0 11.227 * [backup-simplify]: Simplify 0 into 0 11.227 * [backup-simplify]: Simplify 0 into 0 11.228 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.228 * [taylor]: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.228 * [taylor]: Taking taylor expansion of 1/12 in J 11.228 * [backup-simplify]: Simplify 1/12 into 1/12 11.228 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.229 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.229 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.229 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.229 * [taylor]: Taking taylor expansion of 1/2 in J 11.229 * [backup-simplify]: Simplify 1/2 into 1/2 11.229 * [taylor]: Taking taylor expansion of K in J 11.229 * [backup-simplify]: Simplify K into K 11.229 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.229 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.229 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.229 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.229 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.230 * [backup-simplify]: Simplify (- 0) into 0 11.230 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.230 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.230 * [taylor]: Taking taylor expansion of J in J 11.230 * [backup-simplify]: Simplify 0 into 0 11.230 * [backup-simplify]: Simplify 1 into 1 11.230 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.230 * [backup-simplify]: Simplify (* 1 1) into 1 11.230 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.231 * [backup-simplify]: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) 11.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.232 * [backup-simplify]: Simplify (+ 0) into 0 11.232 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.234 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.234 * [backup-simplify]: Simplify (- 0) into 0 11.235 * [backup-simplify]: Simplify (+ 0 0) into 0 11.235 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.237 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.239 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.239 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.239 * [backup-simplify]: Simplify (- 0) into 0 11.240 * [backup-simplify]: Simplify (+ 0 0) into 0 11.240 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.241 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.242 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.242 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.242 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.242 * [taylor]: Taking taylor expansion of 0 in K 11.242 * [backup-simplify]: Simplify 0 into 0 11.242 * [backup-simplify]: Simplify 0 into 0 11.242 * [taylor]: Taking taylor expansion of 0 in K 11.243 * [backup-simplify]: Simplify 0 into 0 11.243 * [backup-simplify]: Simplify 0 into 0 11.243 * [taylor]: Taking taylor expansion of 0 in K 11.243 * [backup-simplify]: Simplify 0 into 0 11.243 * [backup-simplify]: Simplify 0 into 0 11.243 * [backup-simplify]: Simplify 1 into 1 11.243 * [backup-simplify]: Simplify (cbrt (+ 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) 1/3) 11.243 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in (U J K) around 0 11.243 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in K 11.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 11.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 11.243 * [taylor]: Taking taylor expansion of 1/3 in K 11.243 * [backup-simplify]: Simplify 1/3 into 1/3 11.243 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.243 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.243 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.243 * [taylor]: Taking taylor expansion of 1/4 in K 11.243 * [backup-simplify]: Simplify 1/4 into 1/4 11.243 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.243 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.244 * [taylor]: Taking taylor expansion of J in K 11.244 * [backup-simplify]: Simplify J into J 11.244 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.244 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.244 * [taylor]: Taking taylor expansion of U in K 11.244 * [backup-simplify]: Simplify U into U 11.244 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.244 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.244 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.244 * [taylor]: Taking taylor expansion of 1/2 in K 11.244 * [backup-simplify]: Simplify 1/2 into 1/2 11.244 * [taylor]: Taking taylor expansion of K in K 11.244 * [backup-simplify]: Simplify 0 into 0 11.244 * [backup-simplify]: Simplify 1 into 1 11.244 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.245 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.245 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.245 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.245 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.245 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.245 * [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))) 11.245 * [taylor]: Taking taylor expansion of 1 in K 11.245 * [backup-simplify]: Simplify 1 into 1 11.246 * [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)))) 11.246 * [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) 11.247 * [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)) 11.247 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 11.248 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 11.248 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in J 11.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 11.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 11.248 * [taylor]: Taking taylor expansion of 1/3 in J 11.248 * [backup-simplify]: Simplify 1/3 into 1/3 11.248 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.248 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.248 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.248 * [taylor]: Taking taylor expansion of 1/4 in J 11.248 * [backup-simplify]: Simplify 1/4 into 1/4 11.248 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.248 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.248 * [taylor]: Taking taylor expansion of J in J 11.248 * [backup-simplify]: Simplify 0 into 0 11.248 * [backup-simplify]: Simplify 1 into 1 11.248 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.248 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.248 * [taylor]: Taking taylor expansion of U in J 11.248 * [backup-simplify]: Simplify U into U 11.248 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.248 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.248 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.248 * [taylor]: Taking taylor expansion of 1/2 in J 11.248 * [backup-simplify]: Simplify 1/2 into 1/2 11.248 * [taylor]: Taking taylor expansion of K in J 11.248 * [backup-simplify]: Simplify K into K 11.248 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.248 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.249 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.249 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.249 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.249 * [backup-simplify]: Simplify (- 0) into 0 11.249 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.250 * [backup-simplify]: Simplify (* 1 1) into 1 11.250 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.250 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.251 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.251 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.251 * [taylor]: Taking taylor expansion of 1 in J 11.251 * [backup-simplify]: Simplify 1 into 1 11.251 * [backup-simplify]: Simplify (+ 0 1) into 1 11.252 * [backup-simplify]: Simplify (log 1) into 0 11.252 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.252 * [backup-simplify]: Simplify (+ 0 0) into 0 11.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.254 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.255 * [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))) 11.255 * [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)))) 11.257 * [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))) 11.258 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.258 * [backup-simplify]: Simplify (exp 0) into 1 11.258 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 11.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.258 * [taylor]: Taking taylor expansion of 1/3 in U 11.258 * [backup-simplify]: Simplify 1/3 into 1/3 11.258 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.258 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.258 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.258 * [taylor]: Taking taylor expansion of 1/4 in U 11.258 * [backup-simplify]: Simplify 1/4 into 1/4 11.258 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.258 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.258 * [taylor]: Taking taylor expansion of J in U 11.258 * [backup-simplify]: Simplify J into J 11.258 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.258 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.258 * [taylor]: Taking taylor expansion of U in U 11.258 * [backup-simplify]: Simplify 0 into 0 11.258 * [backup-simplify]: Simplify 1 into 1 11.258 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.258 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.258 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.258 * [taylor]: Taking taylor expansion of 1/2 in U 11.259 * [backup-simplify]: Simplify 1/2 into 1/2 11.259 * [taylor]: Taking taylor expansion of K in U 11.259 * [backup-simplify]: Simplify K into K 11.259 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.259 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.259 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.259 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.259 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.259 * [backup-simplify]: Simplify (- 0) into 0 11.259 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.259 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.260 * [backup-simplify]: Simplify (* 1 1) into 1 11.260 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.260 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.260 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.260 * [taylor]: Taking taylor expansion of 1 in U 11.260 * [backup-simplify]: Simplify 1 into 1 11.261 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.261 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.261 * [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)))) 11.262 * [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))) 11.262 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.262 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.262 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 11.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.262 * [taylor]: Taking taylor expansion of 1/3 in U 11.262 * [backup-simplify]: Simplify 1/3 into 1/3 11.263 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.263 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.263 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.263 * [taylor]: Taking taylor expansion of 1/4 in U 11.263 * [backup-simplify]: Simplify 1/4 into 1/4 11.263 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.263 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.263 * [taylor]: Taking taylor expansion of J in U 11.263 * [backup-simplify]: Simplify J into J 11.263 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.263 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.263 * [taylor]: Taking taylor expansion of U in U 11.263 * [backup-simplify]: Simplify 0 into 0 11.263 * [backup-simplify]: Simplify 1 into 1 11.263 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.263 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.263 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.263 * [taylor]: Taking taylor expansion of 1/2 in U 11.263 * [backup-simplify]: Simplify 1/2 into 1/2 11.263 * [taylor]: Taking taylor expansion of K in U 11.263 * [backup-simplify]: Simplify K into K 11.263 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.263 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.263 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.263 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.263 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.264 * [backup-simplify]: Simplify (- 0) into 0 11.264 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.264 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.264 * [backup-simplify]: Simplify (* 1 1) into 1 11.264 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.264 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.265 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.265 * [taylor]: Taking taylor expansion of 1 in U 11.265 * [backup-simplify]: Simplify 1 into 1 11.265 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.265 * [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))) 11.265 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.265 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.266 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.266 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.266 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.266 * [taylor]: Taking taylor expansion of 1/3 in J 11.266 * [backup-simplify]: Simplify 1/3 into 1/3 11.266 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.266 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.266 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.266 * [taylor]: Taking taylor expansion of 1/4 in J 11.266 * [backup-simplify]: Simplify 1/4 into 1/4 11.266 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.266 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.266 * [taylor]: Taking taylor expansion of J in J 11.266 * [backup-simplify]: Simplify 0 into 0 11.266 * [backup-simplify]: Simplify 1 into 1 11.266 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.266 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.266 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.266 * [taylor]: Taking taylor expansion of 1/2 in J 11.266 * [backup-simplify]: Simplify 1/2 into 1/2 11.266 * [taylor]: Taking taylor expansion of K in J 11.266 * [backup-simplify]: Simplify K into K 11.266 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.266 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.266 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.266 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.266 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.267 * [backup-simplify]: Simplify (- 0) into 0 11.267 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.267 * [backup-simplify]: Simplify (* 1 1) into 1 11.267 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.267 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.267 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.267 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.267 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.267 * [taylor]: Taking taylor expansion of 2 in J 11.267 * [backup-simplify]: Simplify 2 into 2 11.267 * [taylor]: Taking taylor expansion of (log U) in J 11.267 * [taylor]: Taking taylor expansion of U in J 11.267 * [backup-simplify]: Simplify U into U 11.267 * [backup-simplify]: Simplify (log U) into (log U) 11.268 * [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)))) 11.268 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.268 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.268 * [backup-simplify]: Simplify (+ (+ (* 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))) 11.268 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.268 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.268 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.268 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.268 * [taylor]: Taking taylor expansion of 1/3 in K 11.268 * [backup-simplify]: Simplify 1/3 into 1/3 11.268 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.268 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 11.268 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.268 * [taylor]: Taking taylor expansion of 2 in K 11.268 * [backup-simplify]: Simplify 2 into 2 11.269 * [taylor]: Taking taylor expansion of (log J) in K 11.269 * [taylor]: Taking taylor expansion of J in K 11.269 * [backup-simplify]: Simplify J into J 11.269 * [backup-simplify]: Simplify (log J) into (log J) 11.269 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 11.269 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 11.269 * [taylor]: Taking taylor expansion of 1/4 in K 11.269 * [backup-simplify]: Simplify 1/4 into 1/4 11.269 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.269 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.269 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.269 * [taylor]: Taking taylor expansion of 1/2 in K 11.269 * [backup-simplify]: Simplify 1/2 into 1/2 11.269 * [taylor]: Taking taylor expansion of K in K 11.269 * [backup-simplify]: Simplify 0 into 0 11.269 * [backup-simplify]: Simplify 1 into 1 11.269 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.269 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.269 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.269 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.269 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.269 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.269 * [taylor]: Taking taylor expansion of 2 in K 11.269 * [backup-simplify]: Simplify 2 into 2 11.269 * [taylor]: Taking taylor expansion of (log U) in K 11.269 * [taylor]: Taking taylor expansion of U in K 11.269 * [backup-simplify]: Simplify U into U 11.269 * [backup-simplify]: Simplify (log U) into (log U) 11.270 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.270 * [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)))) 11.270 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.270 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.270 * [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))) 11.270 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.270 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.270 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.270 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.271 * [backup-simplify]: Simplify (+ 0) into 0 11.271 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.272 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.272 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.272 * [backup-simplify]: Simplify (- 0) into 0 11.273 * [backup-simplify]: Simplify (+ 0 0) into 0 11.273 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.274 * [backup-simplify]: 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 11.274 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.274 * [backup-simplify]: Simplify (+ 0 0) into 0 11.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.275 * [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))) 11.276 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.276 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.276 * [taylor]: Taking taylor expansion of 0 in J 11.276 * [backup-simplify]: Simplify 0 into 0 11.276 * [taylor]: Taking taylor expansion of 0 in K 11.276 * [backup-simplify]: Simplify 0 into 0 11.276 * [backup-simplify]: Simplify 0 into 0 11.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.277 * [backup-simplify]: Simplify (+ 0) into 0 11.277 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.278 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.278 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.279 * [backup-simplify]: Simplify (- 0) into 0 11.279 * [backup-simplify]: Simplify (+ 0 0) into 0 11.279 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.279 * [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 11.279 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.281 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.281 * [backup-simplify]: Simplify (- 0) into 0 11.281 * [backup-simplify]: Simplify (+ 0 0) into 0 11.282 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.282 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.282 * [taylor]: Taking taylor expansion of 0 in K 11.282 * [backup-simplify]: Simplify 0 into 0 11.282 * [backup-simplify]: Simplify 0 into 0 11.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.283 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.283 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.283 * [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 11.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.284 * [backup-simplify]: Simplify (+ 0 0) into 0 11.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.285 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.285 * [backup-simplify]: Simplify (- 0) into 0 11.285 * [backup-simplify]: Simplify (+ 0 0) into 0 11.286 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.286 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.287 * [backup-simplify]: Simplify 0 into 0 11.287 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.287 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.288 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.288 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.289 * [backup-simplify]: Simplify (- 0) into 0 11.289 * [backup-simplify]: Simplify (+ 0 0) into 0 11.290 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.291 * [backup-simplify]: 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 11.292 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.292 * [backup-simplify]: Simplify (+ 0 1) into 1 11.293 * [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))) 11.294 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.294 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.295 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 11.295 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 11.295 * [taylor]: Taking taylor expansion of 4/3 in J 11.295 * [backup-simplify]: Simplify 4/3 into 4/3 11.295 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 11.295 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 11.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.295 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.295 * [taylor]: Taking taylor expansion of 1/3 in J 11.295 * [backup-simplify]: Simplify 1/3 into 1/3 11.295 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.295 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.295 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.295 * [taylor]: Taking taylor expansion of 1/4 in J 11.295 * [backup-simplify]: Simplify 1/4 into 1/4 11.295 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.295 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.295 * [taylor]: Taking taylor expansion of J in J 11.295 * [backup-simplify]: Simplify 0 into 0 11.295 * [backup-simplify]: Simplify 1 into 1 11.295 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.295 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.295 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.295 * [taylor]: Taking taylor expansion of 1/2 in J 11.295 * [backup-simplify]: Simplify 1/2 into 1/2 11.295 * [taylor]: Taking taylor expansion of K in J 11.295 * [backup-simplify]: Simplify K into K 11.295 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.295 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.296 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.296 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.296 * [backup-simplify]: Simplify (- 0) into 0 11.296 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.296 * [backup-simplify]: Simplify (* 1 1) into 1 11.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.296 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.296 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.297 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.297 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.297 * [taylor]: Taking taylor expansion of 2 in J 11.297 * [backup-simplify]: Simplify 2 into 2 11.297 * [taylor]: Taking taylor expansion of (log U) in J 11.297 * [taylor]: Taking taylor expansion of U in J 11.297 * [backup-simplify]: Simplify U into U 11.297 * [backup-simplify]: Simplify (log U) into (log U) 11.297 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.297 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.297 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.297 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.298 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.298 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.298 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.298 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.298 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.298 * [taylor]: Taking taylor expansion of 1/2 in J 11.298 * [backup-simplify]: Simplify 1/2 into 1/2 11.298 * [taylor]: Taking taylor expansion of K in J 11.298 * [backup-simplify]: Simplify K into K 11.298 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.298 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.298 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.298 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.298 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.298 * [backup-simplify]: Simplify (- 0) into 0 11.298 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.298 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.298 * [taylor]: Taking taylor expansion of J in J 11.298 * [backup-simplify]: Simplify 0 into 0 11.298 * [backup-simplify]: Simplify 1 into 1 11.299 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.299 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.299 * [backup-simplify]: Simplify (* 1 1) into 1 11.299 * [backup-simplify]: Simplify (/ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.300 * [backup-simplify]: Simplify (+ 0) into 0 11.301 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.301 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.302 * [backup-simplify]: Simplify (- 0) into 0 11.302 * [backup-simplify]: Simplify (+ 0 0) into 0 11.303 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.303 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.303 * [backup-simplify]: Simplify (- 0) into 0 11.304 * [backup-simplify]: Simplify (+ 0 0) into 0 11.304 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.305 * [backup-simplify]: Simplify (+ 0) into 0 11.305 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.305 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.306 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.306 * [backup-simplify]: Simplify (- 0) into 0 11.306 * [backup-simplify]: Simplify (+ 0 0) into 0 11.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.307 * [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 11.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.308 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.308 * [backup-simplify]: Simplify (- 0) into 0 11.309 * [backup-simplify]: Simplify (+ 0 0) into 0 11.309 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.310 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.310 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.311 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.312 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.312 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.312 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.313 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.313 * [backup-simplify]: Simplify (- 0) into 0 11.314 * [backup-simplify]: Simplify (+ 0 0) into 0 11.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.315 * [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 11.316 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.317 * [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 11.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.320 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.320 * [backup-simplify]: Simplify (- 0) into 0 11.321 * [backup-simplify]: Simplify (+ 0 0) into 0 11.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.323 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.324 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.325 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 11.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.330 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 11.330 * [taylor]: Taking taylor expansion of 0 in K 11.330 * [backup-simplify]: Simplify 0 into 0 11.330 * [backup-simplify]: Simplify 0 into 0 11.331 * [taylor]: Taking taylor expansion of 0 in K 11.331 * [backup-simplify]: Simplify 0 into 0 11.331 * [backup-simplify]: Simplify 0 into 0 11.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.333 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.333 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.334 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.335 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.335 * [backup-simplify]: Simplify (- 0) into 0 11.336 * [backup-simplify]: Simplify (+ 0 0) into 0 11.336 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.337 * [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 11.338 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.339 * [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 11.341 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.342 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.342 * [backup-simplify]: Simplify (- 0) into 0 11.343 * [backup-simplify]: Simplify (+ 0 0) into 0 11.344 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.348 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.348 * [taylor]: Taking taylor expansion of 0 in K 11.348 * [backup-simplify]: Simplify 0 into 0 11.348 * [backup-simplify]: Simplify 0 into 0 11.348 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 11.349 * [backup-simplify]: Simplify (cbrt (+ 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))))) 1/3) 11.349 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in (U J K) around 0 11.349 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in K 11.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 11.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 11.349 * [taylor]: Taking taylor expansion of 1/3 in K 11.349 * [backup-simplify]: Simplify 1/3 into 1/3 11.349 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.349 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.349 * [taylor]: Taking taylor expansion of 1 in K 11.349 * [backup-simplify]: Simplify 1 into 1 11.349 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.349 * [taylor]: Taking taylor expansion of 1/4 in K 11.349 * [backup-simplify]: Simplify 1/4 into 1/4 11.349 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.349 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.349 * [taylor]: Taking taylor expansion of J in K 11.349 * [backup-simplify]: Simplify J into J 11.349 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.349 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.349 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.349 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.349 * [taylor]: Taking taylor expansion of -1/2 in K 11.349 * [backup-simplify]: Simplify -1/2 into -1/2 11.349 * [taylor]: Taking taylor expansion of K in K 11.350 * [backup-simplify]: Simplify 0 into 0 11.350 * [backup-simplify]: Simplify 1 into 1 11.350 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.350 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.350 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.350 * [taylor]: Taking taylor expansion of U in K 11.350 * [backup-simplify]: Simplify U into U 11.350 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.351 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.351 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.351 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.351 * [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))) 11.351 * [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)))) 11.352 * [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))))) 11.352 * [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)))))) 11.352 * [backup-simplify]: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 11.353 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 11.353 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in J 11.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 11.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 11.353 * [taylor]: Taking taylor expansion of 1/3 in J 11.353 * [backup-simplify]: Simplify 1/3 into 1/3 11.353 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.353 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.353 * [taylor]: Taking taylor expansion of 1 in J 11.353 * [backup-simplify]: Simplify 1 into 1 11.353 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.353 * [taylor]: Taking taylor expansion of 1/4 in J 11.353 * [backup-simplify]: Simplify 1/4 into 1/4 11.353 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.353 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.353 * [taylor]: Taking taylor expansion of J in J 11.353 * [backup-simplify]: Simplify 0 into 0 11.353 * [backup-simplify]: Simplify 1 into 1 11.353 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.353 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.353 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.354 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.354 * [taylor]: Taking taylor expansion of -1/2 in J 11.354 * [backup-simplify]: Simplify -1/2 into -1/2 11.354 * [taylor]: Taking taylor expansion of K in J 11.354 * [backup-simplify]: Simplify K into K 11.354 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.354 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.354 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.354 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.354 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.354 * [backup-simplify]: Simplify (- 0) into 0 11.355 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.355 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.355 * [taylor]: Taking taylor expansion of U in J 11.355 * [backup-simplify]: Simplify U into U 11.355 * [backup-simplify]: Simplify (* 1 1) into 1 11.355 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.355 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.355 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.356 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.356 * [backup-simplify]: Simplify (+ 1 0) into 1 11.356 * [backup-simplify]: Simplify (log 1) into 0 11.357 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.357 * [backup-simplify]: Simplify (+ 0 0) into 0 11.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.359 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.359 * [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))) 11.360 * [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)))) 11.361 * [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))) 11.362 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.362 * [backup-simplify]: Simplify (exp 0) into 1 11.362 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 11.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.362 * [taylor]: Taking taylor expansion of 1/3 in U 11.362 * [backup-simplify]: Simplify 1/3 into 1/3 11.362 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.362 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.362 * [taylor]: Taking taylor expansion of 1 in U 11.362 * [backup-simplify]: Simplify 1 into 1 11.362 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.362 * [taylor]: Taking taylor expansion of 1/4 in U 11.362 * [backup-simplify]: Simplify 1/4 into 1/4 11.362 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.362 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.362 * [taylor]: Taking taylor expansion of J in U 11.362 * [backup-simplify]: Simplify J into J 11.362 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.362 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.362 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.362 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.362 * [taylor]: Taking taylor expansion of -1/2 in U 11.362 * [backup-simplify]: Simplify -1/2 into -1/2 11.362 * [taylor]: Taking taylor expansion of K in U 11.362 * [backup-simplify]: Simplify K into K 11.362 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.362 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.362 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.362 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.362 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.363 * [backup-simplify]: Simplify (- 0) into 0 11.363 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.363 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.363 * [taylor]: Taking taylor expansion of U in U 11.363 * [backup-simplify]: Simplify 0 into 0 11.363 * [backup-simplify]: Simplify 1 into 1 11.363 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.363 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.363 * [backup-simplify]: Simplify (* 1 1) into 1 11.363 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.363 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.364 * [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))) 11.364 * [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))) 11.364 * [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)))) 11.364 * [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))) 11.364 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.365 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.365 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 11.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.365 * [taylor]: Taking taylor expansion of 1/3 in U 11.365 * [backup-simplify]: Simplify 1/3 into 1/3 11.365 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.365 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.365 * [taylor]: Taking taylor expansion of 1 in U 11.365 * [backup-simplify]: Simplify 1 into 1 11.365 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.365 * [taylor]: Taking taylor expansion of 1/4 in U 11.365 * [backup-simplify]: Simplify 1/4 into 1/4 11.365 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.365 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.365 * [taylor]: Taking taylor expansion of J in U 11.365 * [backup-simplify]: Simplify J into J 11.365 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.365 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.365 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.365 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.365 * [taylor]: Taking taylor expansion of -1/2 in U 11.365 * [backup-simplify]: Simplify -1/2 into -1/2 11.365 * [taylor]: Taking taylor expansion of K in U 11.365 * [backup-simplify]: Simplify K into K 11.365 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.365 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.365 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.365 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.365 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.365 * [backup-simplify]: Simplify (- 0) into 0 11.365 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.366 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.366 * [taylor]: Taking taylor expansion of U in U 11.366 * [backup-simplify]: Simplify 0 into 0 11.366 * [backup-simplify]: Simplify 1 into 1 11.366 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.366 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.366 * [backup-simplify]: Simplify (* 1 1) into 1 11.366 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.366 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.366 * [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))) 11.366 * [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))) 11.366 * [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)))) 11.367 * [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))) 11.367 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.367 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.367 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.367 * [taylor]: Taking taylor expansion of 1/3 in J 11.367 * [backup-simplify]: Simplify 1/3 into 1/3 11.367 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.367 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.367 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.367 * [taylor]: Taking taylor expansion of 1/4 in J 11.367 * [backup-simplify]: Simplify 1/4 into 1/4 11.367 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.367 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.367 * [taylor]: Taking taylor expansion of J in J 11.368 * [backup-simplify]: Simplify 0 into 0 11.368 * [backup-simplify]: Simplify 1 into 1 11.368 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.368 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.368 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.368 * [taylor]: Taking taylor expansion of -1/2 in J 11.368 * [backup-simplify]: Simplify -1/2 into -1/2 11.368 * [taylor]: Taking taylor expansion of K in J 11.368 * [backup-simplify]: Simplify K into K 11.368 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.368 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.368 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.368 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.368 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.368 * [backup-simplify]: Simplify (- 0) into 0 11.368 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.368 * [backup-simplify]: Simplify (* 1 1) into 1 11.369 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.369 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.369 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.369 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.369 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.369 * [taylor]: Taking taylor expansion of 2 in J 11.369 * [backup-simplify]: Simplify 2 into 2 11.369 * [taylor]: Taking taylor expansion of (log U) in J 11.369 * [taylor]: Taking taylor expansion of U in J 11.369 * [backup-simplify]: Simplify U into U 11.369 * [backup-simplify]: Simplify (log U) into (log U) 11.369 * [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)))) 11.369 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.369 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.369 * [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))) 11.370 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.370 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.370 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.370 * [taylor]: Taking taylor expansion of 1/3 in K 11.370 * [backup-simplify]: Simplify 1/3 into 1/3 11.370 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.370 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 11.370 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.370 * [taylor]: Taking taylor expansion of 2 in K 11.370 * [backup-simplify]: Simplify 2 into 2 11.370 * [taylor]: Taking taylor expansion of (log J) in K 11.370 * [taylor]: Taking taylor expansion of J in K 11.370 * [backup-simplify]: Simplify J into J 11.370 * [backup-simplify]: Simplify (log J) into (log J) 11.370 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 11.370 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 11.370 * [taylor]: Taking taylor expansion of 1/4 in K 11.370 * [backup-simplify]: Simplify 1/4 into 1/4 11.370 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.370 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.370 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.370 * [taylor]: Taking taylor expansion of -1/2 in K 11.370 * [backup-simplify]: Simplify -1/2 into -1/2 11.370 * [taylor]: Taking taylor expansion of K in K 11.370 * [backup-simplify]: Simplify 0 into 0 11.370 * [backup-simplify]: Simplify 1 into 1 11.371 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.371 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.371 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.371 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.371 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.371 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.371 * [taylor]: Taking taylor expansion of 2 in K 11.371 * [backup-simplify]: Simplify 2 into 2 11.371 * [taylor]: Taking taylor expansion of (log U) in K 11.371 * [taylor]: Taking taylor expansion of U in K 11.371 * [backup-simplify]: Simplify U into U 11.371 * [backup-simplify]: Simplify (log U) into (log U) 11.371 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.371 * [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)))) 11.371 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.371 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.371 * [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))) 11.372 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.372 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.372 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.372 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.373 * [backup-simplify]: Simplify (+ 0) into 0 11.373 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.373 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.374 * [backup-simplify]: Simplify (- 0) into 0 11.374 * [backup-simplify]: Simplify (+ 0 0) into 0 11.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.375 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.375 * [backup-simplify]: 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 11.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.376 * [backup-simplify]: Simplify (+ 0 0) into 0 11.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.377 * [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))) 11.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.378 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.378 * [taylor]: Taking taylor expansion of 0 in J 11.378 * [backup-simplify]: Simplify 0 into 0 11.378 * [taylor]: Taking taylor expansion of 0 in K 11.378 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.378 * [backup-simplify]: Simplify (+ 0) into 0 11.379 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.379 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.380 * [backup-simplify]: Simplify (- 0) into 0 11.380 * [backup-simplify]: Simplify (+ 0 0) into 0 11.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.380 * [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 11.381 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.382 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.382 * [backup-simplify]: Simplify (- 0) into 0 11.382 * [backup-simplify]: Simplify (+ 0 0) into 0 11.383 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.383 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.383 * [taylor]: Taking taylor expansion of 0 in K 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.384 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.384 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.385 * [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 11.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.385 * [backup-simplify]: Simplify (+ 0 0) into 0 11.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.386 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.386 * [backup-simplify]: Simplify (- 0) into 0 11.387 * [backup-simplify]: Simplify (+ 0 0) into 0 11.387 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.388 * [backup-simplify]: Simplify 0 into 0 11.388 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.389 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.389 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.390 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.390 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.390 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.391 * [backup-simplify]: Simplify (- 0) into 0 11.391 * [backup-simplify]: Simplify (+ 0 0) into 0 11.391 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.392 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.392 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.393 * [backup-simplify]: Simplify (+ 1 0) into 1 11.394 * [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))) 11.394 * [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))) 11.395 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.396 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 11.396 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 11.396 * [taylor]: Taking taylor expansion of 4/3 in J 11.396 * [backup-simplify]: Simplify 4/3 into 4/3 11.396 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 11.396 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 11.396 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.396 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.396 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.396 * [taylor]: Taking taylor expansion of -1/2 in J 11.396 * [backup-simplify]: Simplify -1/2 into -1/2 11.396 * [taylor]: Taking taylor expansion of K in J 11.396 * [backup-simplify]: Simplify K into K 11.396 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.396 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.396 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.396 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.396 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.396 * [backup-simplify]: Simplify (- 0) into 0 11.396 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.396 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.396 * [taylor]: Taking taylor expansion of 1/3 in J 11.396 * [backup-simplify]: Simplify 1/3 into 1/3 11.396 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.397 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.397 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.397 * [taylor]: Taking taylor expansion of 1/4 in J 11.397 * [backup-simplify]: Simplify 1/4 into 1/4 11.397 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.397 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.397 * [taylor]: Taking taylor expansion of J in J 11.397 * [backup-simplify]: Simplify 0 into 0 11.397 * [backup-simplify]: Simplify 1 into 1 11.397 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.397 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.397 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.397 * [taylor]: Taking taylor expansion of -1/2 in J 11.397 * [backup-simplify]: Simplify -1/2 into -1/2 11.397 * [taylor]: Taking taylor expansion of K in J 11.397 * [backup-simplify]: Simplify K into K 11.397 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.397 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.397 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.397 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.397 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.397 * [backup-simplify]: Simplify (- 0) into 0 11.397 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.398 * [backup-simplify]: Simplify (* 1 1) into 1 11.398 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.398 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.398 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.398 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.398 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.398 * [taylor]: Taking taylor expansion of 2 in J 11.398 * [backup-simplify]: Simplify 2 into 2 11.398 * [taylor]: Taking taylor expansion of (log U) in J 11.398 * [taylor]: Taking taylor expansion of U in J 11.398 * [backup-simplify]: Simplify U into U 11.398 * [backup-simplify]: Simplify (log U) into (log U) 11.398 * [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)))) 11.398 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.398 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.399 * [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))) 11.399 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.399 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.399 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.399 * [taylor]: Taking taylor expansion of J in J 11.399 * [backup-simplify]: Simplify 0 into 0 11.399 * [backup-simplify]: Simplify 1 into 1 11.399 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.399 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.400 * [backup-simplify]: Simplify (* 1 1) into 1 11.400 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.401 * [backup-simplify]: Simplify (+ 0) into 0 11.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.401 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.401 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.402 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.402 * [backup-simplify]: Simplify (- 0) into 0 11.402 * [backup-simplify]: Simplify (+ 0 0) into 0 11.402 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.403 * [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 11.403 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.404 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.405 * [backup-simplify]: Simplify (- 0) into 0 11.405 * [backup-simplify]: Simplify (+ 0 0) into 0 11.406 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.408 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.409 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.409 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.410 * [backup-simplify]: Simplify (- 0) into 0 11.411 * [backup-simplify]: Simplify (+ 0 0) into 0 11.411 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.412 * [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 11.413 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.415 * [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 11.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.417 * [backup-simplify]: Simplify (- 0) into 0 11.418 * [backup-simplify]: Simplify (+ 0 0) into 0 11.419 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.421 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.422 * [backup-simplify]: Simplify (+ 0) into 0 11.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.422 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.424 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.424 * [backup-simplify]: Simplify (- 0) into 0 11.424 * [backup-simplify]: Simplify (+ 0 0) into 0 11.424 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.426 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.427 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.428 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.428 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.429 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.429 * [backup-simplify]: Simplify (- 0) into 0 11.430 * [backup-simplify]: Simplify (+ 0 0) into 0 11.430 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.431 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 11.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.433 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 11.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 11.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.438 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 11.438 * [taylor]: Taking taylor expansion of 0 in K 11.438 * [backup-simplify]: Simplify 0 into 0 11.438 * [backup-simplify]: Simplify 0 into 0 11.438 * [taylor]: Taking taylor expansion of 0 in K 11.438 * [backup-simplify]: Simplify 0 into 0 11.438 * [backup-simplify]: Simplify 0 into 0 11.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.440 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.441 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.441 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.442 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.442 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.443 * [backup-simplify]: Simplify (- 0) into 0 11.443 * [backup-simplify]: Simplify (+ 0 0) into 0 11.443 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.444 * [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 11.445 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.447 * [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 11.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.450 * [backup-simplify]: Simplify (- 0) into 0 11.450 * [backup-simplify]: Simplify (+ 0 0) into 0 11.451 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.453 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.453 * [taylor]: Taking taylor expansion of 0 in K 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 11.453 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 11.454 * [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)) 11.454 * [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 11.454 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.454 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.454 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.454 * [taylor]: Taking taylor expansion of 1/4 in K 11.454 * [backup-simplify]: Simplify 1/4 into 1/4 11.454 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.454 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.454 * [taylor]: Taking taylor expansion of U in K 11.454 * [backup-simplify]: Simplify U into U 11.454 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.454 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.454 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.454 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.454 * [taylor]: Taking taylor expansion of 1/2 in K 11.454 * [backup-simplify]: Simplify 1/2 into 1/2 11.454 * [taylor]: Taking taylor expansion of K in K 11.454 * [backup-simplify]: Simplify 0 into 0 11.454 * [backup-simplify]: Simplify 1 into 1 11.455 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.456 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.456 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.456 * [taylor]: Taking taylor expansion of J in K 11.456 * [backup-simplify]: Simplify J into J 11.456 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.456 * [backup-simplify]: Simplify (* 1 1) into 1 11.456 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.456 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.456 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.456 * [taylor]: Taking taylor expansion of 1 in K 11.456 * [backup-simplify]: Simplify 1 into 1 11.456 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.457 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.457 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.457 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.457 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.457 * [backup-simplify]: Simplify (+ 0) into 0 11.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 11.458 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 11.458 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 11.459 * [backup-simplify]: Simplify (+ 0 0) into 0 11.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 11.459 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.459 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.459 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.459 * [taylor]: Taking taylor expansion of 1/4 in J 11.459 * [backup-simplify]: Simplify 1/4 into 1/4 11.459 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.459 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.459 * [taylor]: Taking taylor expansion of U in J 11.459 * [backup-simplify]: Simplify U into U 11.459 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.459 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.459 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.459 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.459 * [taylor]: Taking taylor expansion of 1/2 in J 11.459 * [backup-simplify]: Simplify 1/2 into 1/2 11.459 * [taylor]: Taking taylor expansion of K in J 11.459 * [backup-simplify]: Simplify K into K 11.459 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.459 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.459 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.459 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.459 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.459 * [backup-simplify]: Simplify (- 0) into 0 11.460 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.460 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.460 * [taylor]: Taking taylor expansion of J in J 11.460 * [backup-simplify]: Simplify 0 into 0 11.460 * [backup-simplify]: Simplify 1 into 1 11.460 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.460 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.460 * [backup-simplify]: Simplify (* 1 1) into 1 11.460 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.460 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.460 * [taylor]: Taking taylor expansion of 1 in J 11.460 * [backup-simplify]: Simplify 1 into 1 11.460 * [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))) 11.460 * [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))) 11.461 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 11.461 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.461 * [backup-simplify]: Simplify (+ 0) into 0 11.462 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.463 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.463 * [backup-simplify]: Simplify (- 0) into 0 11.463 * [backup-simplify]: Simplify (+ 0 0) into 0 11.463 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.463 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.464 * [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 11.465 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 11.466 * [backup-simplify]: Simplify (+ 0 0) into 0 11.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 11.466 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.466 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.466 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.466 * [taylor]: Taking taylor expansion of 1/4 in U 11.466 * [backup-simplify]: Simplify 1/4 into 1/4 11.466 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.466 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.466 * [taylor]: Taking taylor expansion of U in U 11.466 * [backup-simplify]: Simplify 0 into 0 11.466 * [backup-simplify]: Simplify 1 into 1 11.466 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.466 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.466 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.466 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.466 * [taylor]: Taking taylor expansion of 1/2 in U 11.466 * [backup-simplify]: Simplify 1/2 into 1/2 11.466 * [taylor]: Taking taylor expansion of K in U 11.466 * [backup-simplify]: Simplify K into K 11.466 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.466 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.466 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.466 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.466 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.467 * [backup-simplify]: Simplify (- 0) into 0 11.467 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.467 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.467 * [taylor]: Taking taylor expansion of J in U 11.467 * [backup-simplify]: Simplify J into J 11.467 * [backup-simplify]: Simplify (* 1 1) into 1 11.467 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.467 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.467 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.467 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.467 * [taylor]: Taking taylor expansion of 1 in U 11.467 * [backup-simplify]: Simplify 1 into 1 11.468 * [backup-simplify]: Simplify (+ 0 1) into 1 11.468 * [backup-simplify]: Simplify (sqrt 1) into 1 11.468 * [backup-simplify]: Simplify (+ 0 0) into 0 11.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.469 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.469 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.469 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.469 * [taylor]: Taking taylor expansion of 1/4 in U 11.469 * [backup-simplify]: Simplify 1/4 into 1/4 11.469 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.469 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.469 * [taylor]: Taking taylor expansion of U in U 11.469 * [backup-simplify]: Simplify 0 into 0 11.469 * [backup-simplify]: Simplify 1 into 1 11.469 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.469 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.469 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.469 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.469 * [taylor]: Taking taylor expansion of 1/2 in U 11.469 * [backup-simplify]: Simplify 1/2 into 1/2 11.469 * [taylor]: Taking taylor expansion of K in U 11.469 * [backup-simplify]: Simplify K into K 11.469 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.469 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.469 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.469 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.469 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.469 * [backup-simplify]: Simplify (- 0) into 0 11.469 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.469 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.469 * [taylor]: Taking taylor expansion of J in U 11.469 * [backup-simplify]: Simplify J into J 11.470 * [backup-simplify]: Simplify (* 1 1) into 1 11.470 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.470 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.470 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.470 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.470 * [taylor]: Taking taylor expansion of 1 in U 11.470 * [backup-simplify]: Simplify 1 into 1 11.470 * [backup-simplify]: Simplify (+ 0 1) into 1 11.471 * [backup-simplify]: Simplify (sqrt 1) into 1 11.471 * [backup-simplify]: Simplify (+ 0 0) into 0 11.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.471 * [taylor]: Taking taylor expansion of 1 in J 11.471 * [backup-simplify]: Simplify 1 into 1 11.471 * [taylor]: Taking taylor expansion of 0 in J 11.471 * [backup-simplify]: Simplify 0 into 0 11.471 * [taylor]: Taking taylor expansion of 1 in K 11.471 * [backup-simplify]: Simplify 1 into 1 11.471 * [backup-simplify]: Simplify 1 into 1 11.472 * [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))) 11.472 * [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)))) 11.473 * [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))) 11.473 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.473 * [taylor]: Taking taylor expansion of 1/8 in J 11.473 * [backup-simplify]: Simplify 1/8 into 1/8 11.473 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.473 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.473 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.473 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.473 * [taylor]: Taking taylor expansion of 1/2 in J 11.473 * [backup-simplify]: Simplify 1/2 into 1/2 11.473 * [taylor]: Taking taylor expansion of K in J 11.473 * [backup-simplify]: Simplify K into K 11.473 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.473 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.473 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.473 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.473 * [backup-simplify]: Simplify (- 0) into 0 11.473 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.473 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.473 * [taylor]: Taking taylor expansion of J in J 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 1 into 1 11.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.474 * [backup-simplify]: Simplify (* 1 1) into 1 11.474 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.474 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 11.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.474 * [backup-simplify]: Simplify (+ 0) into 0 11.475 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.476 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.476 * [backup-simplify]: Simplify (- 0) into 0 11.476 * [backup-simplify]: Simplify (+ 0 0) into 0 11.476 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.477 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.477 * [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 11.477 * [taylor]: Taking taylor expansion of 0 in K 11.477 * [backup-simplify]: Simplify 0 into 0 11.477 * [backup-simplify]: Simplify 0 into 0 11.477 * [taylor]: Taking taylor expansion of 0 in K 11.477 * [backup-simplify]: Simplify 0 into 0 11.477 * [backup-simplify]: Simplify 0 into 0 11.477 * [taylor]: Taking taylor expansion of 0 in K 11.477 * [backup-simplify]: Simplify 0 into 0 11.477 * [backup-simplify]: Simplify 0 into 0 11.477 * [backup-simplify]: Simplify 0 into 0 11.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.478 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.478 * [backup-simplify]: Simplify (+ 0) into 0 11.478 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.479 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.479 * [backup-simplify]: Simplify (- 0) into 0 11.480 * [backup-simplify]: Simplify (+ 0 0) into 0 11.480 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.480 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 11.480 * [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 11.480 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 11.481 * [backup-simplify]: Simplify (+ 0 0) into 0 11.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 11.481 * [taylor]: Taking taylor expansion of 0 in J 11.481 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.483 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.483 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.484 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.484 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.485 * [backup-simplify]: Simplify (- 0) into 0 11.485 * [backup-simplify]: Simplify (+ 0 0) into 0 11.486 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.486 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.487 * [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 11.487 * [taylor]: Taking taylor expansion of 0 in K 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [taylor]: Taking taylor expansion of 0 in K 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify 1 into 1 11.487 * [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)) 11.488 * [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 11.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.488 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.488 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.488 * [taylor]: Taking taylor expansion of 1/4 in K 11.488 * [backup-simplify]: Simplify 1/4 into 1/4 11.488 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.488 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.488 * [taylor]: Taking taylor expansion of J in K 11.488 * [backup-simplify]: Simplify J into J 11.488 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.488 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.488 * [taylor]: Taking taylor expansion of U in K 11.488 * [backup-simplify]: Simplify U into U 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 11.489 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.489 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.489 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.489 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.489 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.489 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.489 * [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))) 11.489 * [taylor]: Taking taylor expansion of 1 in K 11.489 * [backup-simplify]: Simplify 1 into 1 11.490 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.490 * [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) 11.490 * [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)) 11.490 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.491 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.491 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.491 * [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 11.492 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.493 * [backup-simplify]: Simplify (+ 0 0) into 0 11.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 11.493 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.493 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.493 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.493 * [taylor]: Taking taylor expansion of 1/4 in J 11.493 * [backup-simplify]: Simplify 1/4 into 1/4 11.493 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.493 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.493 * [taylor]: Taking taylor expansion of J in J 11.493 * [backup-simplify]: Simplify 0 into 0 11.493 * [backup-simplify]: Simplify 1 into 1 11.493 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.493 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.493 * [taylor]: Taking taylor expansion of U in J 11.494 * [backup-simplify]: Simplify U into U 11.494 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.494 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.494 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.494 * [taylor]: Taking taylor expansion of 1/2 in J 11.494 * [backup-simplify]: Simplify 1/2 into 1/2 11.494 * [taylor]: Taking taylor expansion of K in J 11.494 * [backup-simplify]: Simplify K into K 11.494 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.494 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.494 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.494 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.494 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.495 * [backup-simplify]: Simplify (- 0) into 0 11.495 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.495 * [backup-simplify]: Simplify (* 1 1) into 1 11.495 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.495 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.495 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.496 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.496 * [taylor]: Taking taylor expansion of 1 in J 11.496 * [backup-simplify]: Simplify 1 into 1 11.496 * [backup-simplify]: Simplify (+ 0 1) into 1 11.496 * [backup-simplify]: Simplify (sqrt 1) into 1 11.497 * [backup-simplify]: Simplify (+ 0 0) into 0 11.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.498 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.498 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.498 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.498 * [taylor]: Taking taylor expansion of 1/4 in U 11.498 * [backup-simplify]: Simplify 1/4 into 1/4 11.498 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.498 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.498 * [taylor]: Taking taylor expansion of J in U 11.498 * [backup-simplify]: Simplify J into J 11.498 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.498 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.498 * [taylor]: Taking taylor expansion of U in U 11.498 * [backup-simplify]: Simplify 0 into 0 11.498 * [backup-simplify]: Simplify 1 into 1 11.498 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.498 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.498 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.498 * [taylor]: Taking taylor expansion of 1/2 in U 11.498 * [backup-simplify]: Simplify 1/2 into 1/2 11.498 * [taylor]: Taking taylor expansion of K in U 11.498 * [backup-simplify]: Simplify K into K 11.498 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.498 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.498 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.498 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.498 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.499 * [backup-simplify]: Simplify (- 0) into 0 11.499 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.499 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.499 * [backup-simplify]: Simplify (* 1 1) into 1 11.500 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.500 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.500 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.500 * [taylor]: Taking taylor expansion of 1 in U 11.500 * [backup-simplify]: Simplify 1 into 1 11.500 * [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))) 11.500 * [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))) 11.501 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.501 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.501 * [backup-simplify]: Simplify (+ 0) into 0 11.501 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.502 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.503 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.503 * [backup-simplify]: Simplify (- 0) into 0 11.504 * [backup-simplify]: Simplify (+ 0 0) into 0 11.504 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.505 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.506 * [backup-simplify]: Simplify (+ 0 0) into 0 11.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.507 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.507 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.507 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.507 * [taylor]: Taking taylor expansion of 1/4 in U 11.507 * [backup-simplify]: Simplify 1/4 into 1/4 11.507 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.507 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.507 * [taylor]: Taking taylor expansion of J in U 11.507 * [backup-simplify]: Simplify J into J 11.507 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.507 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.507 * [taylor]: Taking taylor expansion of U in U 11.507 * [backup-simplify]: Simplify 0 into 0 11.507 * [backup-simplify]: Simplify 1 into 1 11.507 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.507 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.507 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.507 * [taylor]: Taking taylor expansion of 1/2 in U 11.507 * [backup-simplify]: Simplify 1/2 into 1/2 11.507 * [taylor]: Taking taylor expansion of K in U 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)) 11.508 * [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 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.508 * [backup-simplify]: Simplify (* 1 1) into 1 11.509 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.509 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.509 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.509 * [taylor]: Taking taylor expansion of 1 in U 11.509 * [backup-simplify]: Simplify 1 into 1 11.509 * [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))) 11.509 * [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))) 11.510 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.510 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.510 * [backup-simplify]: Simplify (+ 0) into 0 11.511 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.511 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.512 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.512 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.512 * [backup-simplify]: Simplify (- 0) into 0 11.513 * [backup-simplify]: Simplify (+ 0 0) into 0 11.513 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.514 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.515 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.515 * [backup-simplify]: Simplify (+ 0 0) into 0 11.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 11.516 * [taylor]: Taking taylor expansion of 1/2 in J 11.516 * [backup-simplify]: Simplify 1/2 into 1/2 11.516 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 11.516 * [taylor]: Taking taylor expansion of J in J 11.516 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify 1 into 1 11.516 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.516 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.516 * [taylor]: Taking taylor expansion of 1/2 in J 11.516 * [backup-simplify]: Simplify 1/2 into 1/2 11.516 * [taylor]: Taking taylor expansion of K in J 11.516 * [backup-simplify]: Simplify K into K 11.516 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.516 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.516 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.516 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.516 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.517 * [backup-simplify]: Simplify (- 0) into 0 11.517 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.517 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 11.517 * [taylor]: Taking taylor expansion of 0 in J 11.517 * [backup-simplify]: Simplify 0 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 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 11.517 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 11.517 * [taylor]: Taking taylor expansion of 1/2 in K 11.517 * [backup-simplify]: Simplify 1/2 into 1/2 11.517 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.517 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.517 * [taylor]: Taking taylor expansion of 1/2 in K 11.518 * [backup-simplify]: Simplify 1/2 into 1/2 11.518 * [taylor]: Taking taylor expansion of K in K 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify 1 into 1 11.518 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.518 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.518 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.518 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.519 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.520 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.520 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.521 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.521 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.522 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.522 * [backup-simplify]: Simplify (- 0) into 0 11.523 * [backup-simplify]: Simplify (+ 0 0) into 0 11.523 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.525 * [backup-simplify]: 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 11.526 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.527 * [backup-simplify]: Simplify (+ 0 1) into 1 11.528 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 11.528 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 11.528 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.528 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.528 * [taylor]: Taking taylor expansion of 1/2 in J 11.528 * [backup-simplify]: Simplify 1/2 into 1/2 11.528 * [taylor]: Taking taylor expansion of K in J 11.528 * [backup-simplify]: Simplify K into K 11.528 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.528 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.528 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.528 * [taylor]: Taking taylor expansion of J in J 11.528 * [backup-simplify]: Simplify 0 into 0 11.528 * [backup-simplify]: Simplify 1 into 1 11.528 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.528 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.529 * [backup-simplify]: Simplify (- 0) into 0 11.529 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.529 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.529 * [backup-simplify]: Simplify (+ 0) into 0 11.530 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.530 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.532 * [backup-simplify]: Simplify (- 0) into 0 11.532 * [backup-simplify]: Simplify (+ 0 0) into 0 11.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 11.533 * [taylor]: Taking taylor expansion of 0 in K 11.533 * [backup-simplify]: Simplify 0 into 0 11.533 * [backup-simplify]: Simplify 0 into 0 11.533 * [taylor]: Taking taylor expansion of 0 in K 11.533 * [backup-simplify]: Simplify 0 into 0 11.533 * [backup-simplify]: Simplify 0 into 0 11.534 * [backup-simplify]: Simplify (+ 0) into 0 11.534 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.534 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.535 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.535 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.536 * [backup-simplify]: Simplify (- 0) into 0 11.536 * [backup-simplify]: Simplify (+ 0 0) into 0 11.536 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 11.537 * [taylor]: Taking taylor expansion of 0 in K 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.539 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.540 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.540 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.541 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.541 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.542 * [backup-simplify]: Simplify (- 0) into 0 11.542 * [backup-simplify]: Simplify (+ 0 0) into 0 11.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 11.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.544 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.545 * [backup-simplify]: Simplify (+ 0 0) into 0 11.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 11.545 * [taylor]: Taking taylor expansion of 0 in J 11.545 * [backup-simplify]: Simplify 0 into 0 11.545 * [taylor]: Taking taylor expansion of 0 in K 11.545 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify 0 into 0 11.546 * [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))) 11.546 * [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)))))) 11.546 * [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 11.546 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.546 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.546 * [taylor]: Taking taylor expansion of 1 in K 11.546 * [backup-simplify]: Simplify 1 into 1 11.546 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 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 J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.546 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.546 * [taylor]: Taking taylor expansion of J in K 11.546 * [backup-simplify]: Simplify J into J 11.546 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 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 11.547 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.547 * [taylor]: Taking taylor expansion of (pow U 2) 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 (* J J) into (pow J 2) 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 (* U U) into (pow U 2) 11.547 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.547 * [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))) 11.547 * [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)))) 11.547 * [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))))) 11.548 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.548 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.548 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.548 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.548 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 11.548 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 11.549 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 11.549 * [backup-simplify]: Simplify (+ 0 0) into 0 11.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 11.549 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.549 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.549 * [taylor]: Taking taylor expansion of 1 in J 11.549 * [backup-simplify]: Simplify 1 into 1 11.549 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.549 * [taylor]: Taking taylor expansion of 1/4 in J 11.549 * [backup-simplify]: Simplify 1/4 into 1/4 11.549 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.549 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.549 * [taylor]: Taking taylor expansion of J in J 11.549 * [backup-simplify]: Simplify 0 into 0 11.549 * [backup-simplify]: Simplify 1 into 1 11.549 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.549 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.549 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.549 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.549 * [taylor]: Taking taylor expansion of -1/2 in J 11.549 * [backup-simplify]: Simplify -1/2 into -1/2 11.549 * [taylor]: Taking taylor expansion of K in J 11.549 * [backup-simplify]: Simplify K into K 11.549 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.550 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.550 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.550 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.550 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.550 * [backup-simplify]: Simplify (- 0) into 0 11.550 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.550 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.550 * [taylor]: Taking taylor expansion of U in J 11.550 * [backup-simplify]: Simplify U into U 11.550 * [backup-simplify]: Simplify (* 1 1) into 1 11.550 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.550 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.550 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.551 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.551 * [backup-simplify]: Simplify (+ 1 0) into 1 11.551 * [backup-simplify]: Simplify (sqrt 1) into 1 11.551 * [backup-simplify]: Simplify (+ 0 0) into 0 11.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.552 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.552 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.552 * [taylor]: Taking taylor expansion of 1 in U 11.552 * [backup-simplify]: Simplify 1 into 1 11.552 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.552 * [taylor]: Taking taylor expansion of 1/4 in U 11.552 * [backup-simplify]: Simplify 1/4 into 1/4 11.552 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.552 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.552 * [taylor]: Taking taylor expansion of J in U 11.552 * [backup-simplify]: Simplify J into J 11.552 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.552 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.552 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.552 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.552 * [taylor]: Taking taylor expansion of -1/2 in U 11.552 * [backup-simplify]: Simplify -1/2 into -1/2 11.552 * [taylor]: Taking taylor expansion of K in U 11.552 * [backup-simplify]: Simplify K into K 11.552 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.552 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.552 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.552 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.552 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.553 * [backup-simplify]: Simplify (- 0) into 0 11.553 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.553 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.553 * [taylor]: Taking taylor expansion of U in U 11.553 * [backup-simplify]: Simplify 0 into 0 11.553 * [backup-simplify]: Simplify 1 into 1 11.553 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.553 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.553 * [backup-simplify]: Simplify (* 1 1) into 1 11.553 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.553 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.553 * [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))) 11.553 * [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))) 11.554 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.554 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.554 * [backup-simplify]: Simplify (+ 0) into 0 11.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.555 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.556 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.556 * [backup-simplify]: Simplify (- 0) into 0 11.556 * [backup-simplify]: Simplify (+ 0 0) into 0 11.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.557 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.557 * [backup-simplify]: 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 11.557 * [backup-simplify]: Simplify (+ 0 0) into 0 11.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.558 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.558 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.558 * [taylor]: Taking taylor expansion of 1 in U 11.558 * [backup-simplify]: Simplify 1 into 1 11.558 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.558 * [taylor]: Taking taylor expansion of 1/4 in U 11.558 * [backup-simplify]: Simplify 1/4 into 1/4 11.558 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.558 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.558 * [taylor]: Taking taylor expansion of J in U 11.558 * [backup-simplify]: Simplify J into J 11.558 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.558 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.558 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.558 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.558 * [taylor]: Taking taylor expansion of -1/2 in U 11.558 * [backup-simplify]: Simplify -1/2 into -1/2 11.558 * [taylor]: Taking taylor expansion of K in U 11.558 * [backup-simplify]: Simplify K into K 11.558 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.558 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.558 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.558 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.558 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.558 * [backup-simplify]: Simplify (- 0) into 0 11.558 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.558 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.558 * [taylor]: Taking taylor expansion of U in U 11.558 * [backup-simplify]: Simplify 0 into 0 11.558 * [backup-simplify]: Simplify 1 into 1 11.559 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.559 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.559 * [backup-simplify]: Simplify (* 1 1) into 1 11.559 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.559 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.559 * [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))) 11.559 * [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))) 11.559 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.559 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.560 * [backup-simplify]: Simplify (+ 0) into 0 11.560 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.561 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.561 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.561 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.562 * [backup-simplify]: Simplify (- 0) into 0 11.562 * [backup-simplify]: Simplify (+ 0 0) into 0 11.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.562 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.562 * [backup-simplify]: 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 11.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.563 * [backup-simplify]: Simplify (+ 0 0) into 0 11.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.563 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 11.563 * [taylor]: Taking taylor expansion of 1/2 in J 11.563 * [backup-simplify]: Simplify 1/2 into 1/2 11.563 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 11.563 * [taylor]: Taking taylor expansion of J in J 11.563 * [backup-simplify]: Simplify 0 into 0 11.563 * [backup-simplify]: Simplify 1 into 1 11.563 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.563 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.563 * [taylor]: Taking taylor expansion of -1/2 in J 11.563 * [backup-simplify]: Simplify -1/2 into -1/2 11.563 * [taylor]: Taking taylor expansion of K in J 11.563 * [backup-simplify]: Simplify K into K 11.563 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.564 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.564 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.564 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.564 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.564 * [backup-simplify]: Simplify (- 0) into 0 11.564 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.564 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 11.564 * [taylor]: Taking taylor expansion of 0 in J 11.564 * [backup-simplify]: Simplify 0 into 0 11.564 * [taylor]: Taking taylor expansion of 0 in K 11.564 * [backup-simplify]: Simplify 0 into 0 11.564 * [backup-simplify]: Simplify 0 into 0 11.564 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 11.564 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 11.564 * [taylor]: Taking taylor expansion of 1/2 in K 11.564 * [backup-simplify]: Simplify 1/2 into 1/2 11.564 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.564 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.564 * [taylor]: Taking taylor expansion of -1/2 in K 11.564 * [backup-simplify]: Simplify -1/2 into -1/2 11.564 * [taylor]: Taking taylor expansion of K in K 11.564 * [backup-simplify]: Simplify 0 into 0 11.564 * [backup-simplify]: Simplify 1 into 1 11.565 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.565 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.565 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.565 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.565 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.567 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.567 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.567 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.568 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.568 * [backup-simplify]: Simplify (- 0) into 0 11.568 * [backup-simplify]: Simplify (+ 0 0) into 0 11.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.569 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.569 * [backup-simplify]: 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 11.570 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.570 * [backup-simplify]: Simplify (+ 1 0) into 1 11.570 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 11.570 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 11.570 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.570 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.571 * [taylor]: Taking taylor expansion of -1/2 in J 11.571 * [backup-simplify]: Simplify -1/2 into -1/2 11.571 * [taylor]: Taking taylor expansion of K in J 11.571 * [backup-simplify]: Simplify K into K 11.571 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.571 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.571 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.571 * [taylor]: Taking taylor expansion of J in J 11.571 * [backup-simplify]: Simplify 0 into 0 11.571 * [backup-simplify]: Simplify 1 into 1 11.571 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.571 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.571 * [backup-simplify]: Simplify (- 0) into 0 11.571 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.571 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.571 * [backup-simplify]: Simplify (+ 0) into 0 11.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.573 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.573 * [backup-simplify]: Simplify (- 0) into 0 11.574 * [backup-simplify]: Simplify (+ 0 0) into 0 11.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 11.575 * [taylor]: Taking taylor expansion of 0 in K 11.575 * [backup-simplify]: Simplify 0 into 0 11.575 * [backup-simplify]: Simplify 0 into 0 11.575 * [taylor]: Taking taylor expansion of 0 in K 11.575 * [backup-simplify]: Simplify 0 into 0 11.575 * [backup-simplify]: Simplify 0 into 0 11.575 * [backup-simplify]: Simplify (+ 0) into 0 11.576 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.576 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.577 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.577 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.578 * [backup-simplify]: Simplify (- 0) into 0 11.578 * [backup-simplify]: Simplify (+ 0 0) into 0 11.578 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 11.579 * [taylor]: Taking taylor expansion of 0 in K 11.579 * [backup-simplify]: Simplify 0 into 0 11.579 * [backup-simplify]: Simplify 0 into 0 11.579 * [backup-simplify]: Simplify 0 into 0 11.579 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.579 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.584 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.586 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.587 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.588 * [backup-simplify]: Simplify (- 0) into 0 11.589 * [backup-simplify]: Simplify (+ 0 0) into 0 11.589 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 11.590 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.591 * [backup-simplify]: 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 11.592 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.593 * [backup-simplify]: Simplify (+ 0 0) into 0 11.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 11.593 * [taylor]: Taking taylor expansion of 0 in J 11.593 * [backup-simplify]: Simplify 0 into 0 11.593 * [taylor]: Taking taylor expansion of 0 in K 11.593 * [backup-simplify]: Simplify 0 into 0 11.593 * [backup-simplify]: Simplify 0 into 0 11.593 * [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))) 11.593 * * * [progress]: simplifying candidates 11.593 * * * * [progress]: [ 1 / 74 ] simplifiying candidate # 11.594 * * * * [progress]: [ 2 / 74 ] simplifiying candidate # 11.594 * * * * [progress]: [ 3 / 74 ] simplifiying candidate # 11.594 * * * * [progress]: [ 4 / 74 ] simplifiying candidate # 11.594 * * * * [progress]: [ 5 / 74 ] simplifiying candidate # 11.594 * * * * [progress]: [ 6 / 74 ] simplifiying candidate # 11.594 * * * * [progress]: [ 7 / 74 ] simplifiying candidate # 11.594 * * * * [progress]: [ 8 / 74 ] simplifiying candidate # 11.594 * * * * [progress]: [ 9 / 74 ] simplifiying candidate # 11.594 * * * * [progress]: [ 10 / 74 ] simplifiying candidate # 11.594 * * * * [progress]: [ 11 / 74 ] simplifiying candidate # 11.595 * * * * [progress]: [ 12 / 74 ] simplifiying candidate # 11.595 * * * * [progress]: [ 13 / 74 ] simplifiying candidate # 11.595 * * * * [progress]: [ 14 / 74 ] simplifiying candidate # 11.595 * * * * [progress]: [ 15 / 74 ] simplifiying candidate #real (real->posit16 (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))> 11.595 * * * * [progress]: [ 16 / 74 ] simplifiying candidate # 11.595 * * * * [progress]: [ 17 / 74 ] simplifiying candidate # 11.595 * * * * [progress]: [ 18 / 74 ] simplifiying candidate # 11.595 * * * * [progress]: [ 19 / 74 ] simplifiying candidate # 11.595 * * * * [progress]: [ 20 / 74 ] simplifiying candidate # 11.595 * * * * [progress]: [ 21 / 74 ] simplifiying candidate # 11.595 * * * * [progress]: [ 22 / 74 ] simplifiying candidate # 11.595 * * * * [progress]: [ 23 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 24 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 25 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 26 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 27 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 28 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 29 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 30 / 74 ] simplifiying candidate #real (real->posit16 (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))))))> 11.596 * * * * [progress]: [ 31 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 32 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 33 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 34 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 35 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 36 / 74 ] simplifiying candidate # 11.596 * * * * [progress]: [ 37 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 38 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 39 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 40 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 41 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 42 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 43 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 44 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 45 / 74 ] simplifiying candidate #real (real->posit16 (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))))))> 11.597 * * * * [progress]: [ 46 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 47 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 48 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 49 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 50 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 51 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 52 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 53 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 54 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 55 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 56 / 74 ] simplifiying candidate # 11.597 * * * * [progress]: [ 57 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 58 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 59 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 60 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 61 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 62 / 74 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))> 11.598 * * * * [progress]: [ 63 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 64 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 65 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 66 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 67 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 68 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 69 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 70 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 71 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 72 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 73 / 74 ] simplifiying candidate # 11.598 * * * * [progress]: [ 74 / 74 ] simplifiying candidate # 11.599 * [simplify]: Simplifying: (log (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 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 1) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt 1) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (cbrt (+ (* 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))))) (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (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 (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (log (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 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 1) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt 1) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (cbrt (+ (* 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))))) (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (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 (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (log (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 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 1) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt 1) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (cbrt (+ (* 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))))) (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (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 (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (cbrt (+ 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)))) 1 (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 1 (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 1 (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/3 (- (+ (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))) 11.601 * * [simplify]: iteration 0: 86 enodes 11.619 * * [simplify]: iteration 1: 166 enodes 11.681 * * [simplify]: iteration 2: 399 enodes 11.839 * * [simplify]: iteration 3: 1330 enodes 12.594 * * [simplify]: iteration complete: 5000 enodes 12.594 * * [simplify]: Extracting #0: cost 31 inf + 0 12.594 * * [simplify]: Extracting #1: cost 145 inf + 2 12.596 * * [simplify]: Extracting #2: cost 553 inf + 513 12.601 * * [simplify]: Extracting #3: cost 1388 inf + 3869 12.609 * * [simplify]: Extracting #4: cost 1582 inf + 23636 12.658 * * [simplify]: Extracting #5: cost 971 inf + 179288 12.786 * * [simplify]: Extracting #6: cost 332 inf + 392987 12.961 * * [simplify]: Extracting #7: cost 50 inf + 516646 13.173 * * [simplify]: Extracting #8: cost 7 inf + 540841 13.341 * * [simplify]: Extracting #9: cost 1 inf + 546325 13.489 * * [simplify]: Extracting #10: cost 0 inf + 547243 13.633 * * [simplify]: Extracting #11: cost 0 inf + 547203 13.781 * [simplify]: Simplified to: (log (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (exp (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (* (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))) (cbrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) 1 (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) 1 (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (cbrt (+ 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))) (cbrt (- (+ 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (cbrt (- 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (- 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))) (cbrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (sqrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (sqrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (real->posit16 (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (log (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (exp (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (* (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))) (cbrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) 1 (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) 1 (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (cbrt (+ 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))) (cbrt (- (+ 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (cbrt (- 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (- 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))) (cbrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (sqrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos 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2)))))) (sqrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (sqrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (real->posit16 (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (log (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (exp (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (* (cbrt (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))) (cbrt (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (* (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (fabs (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (sqrt (cbrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) 1 (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) 1 (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (sqrt (+ 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))) (sqrt (- (+ 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (sqrt (- 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (sqrt (- 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) 1/2 (sqrt (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (real->posit16 (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) 1 (exp (+ (* (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K)))) 1/3) (* 2/3 (+ (- (log J)) (log U))))) (exp (+ (* (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K)))) 1/3) (* 2/3 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (exp (+ (* (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K)))) 1/3) (* 2/3 (+ (- (log J)) (log U))))) (exp (+ (* (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K)))) 1/3) (* 2/3 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (exp (+ (* (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K)))) 1/3) (* 2/3 (+ (- (log J)) (log U))))) (exp (+ (* (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K)))) 1/3) (* 2/3 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (* (/ 1/2 (cos (* 1/2 K))) (/ U J)) (* (/ 1/2 (cos (* 1/2 K))) (/ U J)) 13.802 * * * [progress]: adding candidates to table 14.551 * * [progress]: iteration 4 / 4 14.551 * * * [progress]: picking best candidate 14.584 * * * * [pick]: Picked # 14.584 * * * [progress]: localizing error 14.637 * * * [progress]: generating rewritten candidates 14.637 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 14.696 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1) 14.804 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 14.893 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 14.992 * * * [progress]: generating series expansions 14.992 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 14.993 * [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)) 14.993 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 14.993 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 14.993 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 14.993 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 14.993 * [taylor]: Taking taylor expansion of 1/4 in K 14.993 * [backup-simplify]: Simplify 1/4 into 1/4 14.993 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 14.993 * [taylor]: Taking taylor expansion of (pow U 2) in K 14.993 * [taylor]: Taking taylor expansion of U in K 14.993 * [backup-simplify]: Simplify U into U 14.993 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 14.993 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 14.993 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.993 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.993 * [taylor]: Taking taylor expansion of 1/2 in K 14.993 * [backup-simplify]: Simplify 1/2 into 1/2 14.993 * [taylor]: Taking taylor expansion of K in K 14.993 * [backup-simplify]: Simplify 0 into 0 14.993 * [backup-simplify]: Simplify 1 into 1 14.994 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.997 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.997 * [taylor]: Taking taylor expansion of (pow J 2) in K 14.997 * [taylor]: Taking taylor expansion of J in K 14.997 * [backup-simplify]: Simplify J into J 14.997 * [backup-simplify]: Simplify (* U U) into (pow U 2) 14.998 * [backup-simplify]: Simplify (* 1 1) into 1 14.998 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.998 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 14.998 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 14.998 * [taylor]: Taking taylor expansion of 1 in K 14.998 * [backup-simplify]: Simplify 1 into 1 14.998 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 14.999 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 14.999 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 14.999 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 14.999 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.000 * [backup-simplify]: Simplify (+ 0) into 0 15.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.001 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.002 * [backup-simplify]: Simplify (+ 0 0) into 0 15.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.002 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.002 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.002 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.003 * [taylor]: Taking taylor expansion of 1/4 in J 15.003 * [backup-simplify]: Simplify 1/4 into 1/4 15.003 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.003 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.003 * [taylor]: Taking taylor expansion of U in J 15.003 * [backup-simplify]: Simplify U into U 15.003 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.003 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.003 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.003 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.003 * [taylor]: Taking taylor expansion of 1/2 in J 15.003 * [backup-simplify]: Simplify 1/2 into 1/2 15.003 * [taylor]: Taking taylor expansion of K in J 15.003 * [backup-simplify]: Simplify K into K 15.003 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.003 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.003 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.003 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.003 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.004 * [backup-simplify]: Simplify (- 0) into 0 15.004 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.004 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.004 * [taylor]: Taking taylor expansion of J in J 15.004 * [backup-simplify]: Simplify 0 into 0 15.004 * [backup-simplify]: Simplify 1 into 1 15.004 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.004 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.004 * [backup-simplify]: Simplify (* 1 1) into 1 15.004 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.005 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.005 * [taylor]: Taking taylor expansion of 1 in J 15.005 * [backup-simplify]: Simplify 1 into 1 15.005 * [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))) 15.005 * [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))) 15.005 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.005 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.006 * [backup-simplify]: Simplify (+ 0) into 0 15.007 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.008 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.009 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.009 * [backup-simplify]: Simplify (- 0) into 0 15.009 * [backup-simplify]: Simplify (+ 0 0) into 0 15.010 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.010 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.011 * [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 15.011 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.011 * [backup-simplify]: Simplify (+ 0 0) into 0 15.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.012 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.012 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.012 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.012 * [taylor]: Taking taylor expansion of 1/4 in U 15.012 * [backup-simplify]: Simplify 1/4 into 1/4 15.012 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.012 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.012 * [taylor]: Taking taylor expansion of U in U 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 1 into 1 15.012 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.012 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.012 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.012 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.012 * [taylor]: Taking taylor expansion of 1/2 in U 15.012 * [backup-simplify]: Simplify 1/2 into 1/2 15.012 * [taylor]: Taking taylor expansion of K in U 15.012 * [backup-simplify]: Simplify K into K 15.012 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.012 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.012 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.013 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.013 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.013 * [backup-simplify]: Simplify (- 0) into 0 15.013 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.013 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.013 * [taylor]: Taking taylor expansion of J in U 15.013 * [backup-simplify]: Simplify J into J 15.014 * [backup-simplify]: Simplify (* 1 1) into 1 15.014 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.014 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.014 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.014 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.014 * [taylor]: Taking taylor expansion of 1 in U 15.014 * [backup-simplify]: Simplify 1 into 1 15.015 * [backup-simplify]: Simplify (+ 0 1) into 1 15.015 * [backup-simplify]: Simplify (sqrt 1) into 1 15.015 * [backup-simplify]: Simplify (+ 0 0) into 0 15.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.016 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.016 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.016 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.016 * [taylor]: Taking taylor expansion of 1/4 in U 15.016 * [backup-simplify]: Simplify 1/4 into 1/4 15.016 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.016 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.016 * [taylor]: Taking taylor expansion of U in U 15.016 * [backup-simplify]: Simplify 0 into 0 15.016 * [backup-simplify]: Simplify 1 into 1 15.016 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.016 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.016 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.017 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.017 * [taylor]: Taking taylor expansion of 1/2 in U 15.017 * [backup-simplify]: Simplify 1/2 into 1/2 15.017 * [taylor]: Taking taylor expansion of K in U 15.017 * [backup-simplify]: Simplify K into K 15.017 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.017 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.017 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.017 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.017 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.017 * [backup-simplify]: Simplify (- 0) into 0 15.017 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.017 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.017 * [taylor]: Taking taylor expansion of J in U 15.017 * [backup-simplify]: Simplify J into J 15.018 * [backup-simplify]: Simplify (* 1 1) into 1 15.018 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.018 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.018 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.018 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.018 * [taylor]: Taking taylor expansion of 1 in U 15.018 * [backup-simplify]: Simplify 1 into 1 15.019 * [backup-simplify]: Simplify (+ 0 1) into 1 15.019 * [backup-simplify]: Simplify (sqrt 1) into 1 15.020 * [backup-simplify]: Simplify (+ 0 0) into 0 15.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.020 * [taylor]: Taking taylor expansion of 1 in J 15.020 * [backup-simplify]: Simplify 1 into 1 15.021 * [taylor]: Taking taylor expansion of 0 in J 15.021 * [backup-simplify]: Simplify 0 into 0 15.021 * [taylor]: Taking taylor expansion of 1 in K 15.021 * [backup-simplify]: Simplify 1 into 1 15.021 * [backup-simplify]: Simplify 1 into 1 15.021 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.021 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 15.023 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.023 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.023 * [taylor]: Taking taylor expansion of 1/8 in J 15.023 * [backup-simplify]: Simplify 1/8 into 1/8 15.023 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.023 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.023 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.023 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.023 * [taylor]: Taking taylor expansion of 1/2 in J 15.023 * [backup-simplify]: Simplify 1/2 into 1/2 15.023 * [taylor]: Taking taylor expansion of K in J 15.023 * [backup-simplify]: Simplify K into K 15.023 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.023 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.023 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.023 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.024 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.024 * [backup-simplify]: Simplify (- 0) into 0 15.024 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.024 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.024 * [taylor]: Taking taylor expansion of J in J 15.024 * [backup-simplify]: Simplify 0 into 0 15.024 * [backup-simplify]: Simplify 1 into 1 15.024 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.025 * [backup-simplify]: Simplify (* 1 1) into 1 15.025 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.025 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 15.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.026 * [backup-simplify]: Simplify (+ 0) into 0 15.026 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.028 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.028 * [backup-simplify]: Simplify (- 0) into 0 15.029 * [backup-simplify]: Simplify (+ 0 0) into 0 15.029 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.029 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.030 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.030 * [taylor]: Taking taylor expansion of 0 in K 15.030 * [backup-simplify]: Simplify 0 into 0 15.030 * [backup-simplify]: Simplify 0 into 0 15.030 * [taylor]: Taking taylor expansion of 0 in K 15.030 * [backup-simplify]: Simplify 0 into 0 15.030 * [backup-simplify]: Simplify 0 into 0 15.030 * [taylor]: Taking taylor expansion of 0 in K 15.030 * [backup-simplify]: Simplify 0 into 0 15.030 * [backup-simplify]: Simplify 0 into 0 15.030 * [backup-simplify]: Simplify 0 into 0 15.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.031 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.031 * [backup-simplify]: Simplify (+ 0) into 0 15.032 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.033 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.034 * [backup-simplify]: Simplify (- 0) into 0 15.034 * [backup-simplify]: Simplify (+ 0 0) into 0 15.034 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.034 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.035 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 15.036 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.036 * [backup-simplify]: Simplify (+ 0 0) into 0 15.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.037 * [taylor]: Taking taylor expansion of 0 in J 15.037 * [backup-simplify]: Simplify 0 into 0 15.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.039 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.039 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.041 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.042 * [backup-simplify]: Simplify (- 0) into 0 15.042 * [backup-simplify]: Simplify (+ 0 0) into 0 15.043 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 15.043 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.044 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.044 * [taylor]: Taking taylor expansion of 0 in K 15.044 * [backup-simplify]: Simplify 0 into 0 15.044 * [backup-simplify]: Simplify 0 into 0 15.044 * [taylor]: Taking taylor expansion of 0 in K 15.044 * [backup-simplify]: Simplify 0 into 0 15.044 * [backup-simplify]: Simplify 0 into 0 15.044 * [backup-simplify]: Simplify 1 into 1 15.044 * [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)) 15.045 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 15.045 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.045 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.045 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.045 * [taylor]: Taking taylor expansion of 1/4 in K 15.045 * [backup-simplify]: Simplify 1/4 into 1/4 15.045 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.045 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.045 * [taylor]: Taking taylor expansion of J in K 15.045 * [backup-simplify]: Simplify J into J 15.045 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.045 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.045 * [taylor]: Taking taylor expansion of U in K 15.045 * [backup-simplify]: Simplify U into U 15.045 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.045 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.045 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.045 * [taylor]: Taking taylor expansion of 1/2 in K 15.045 * [backup-simplify]: Simplify 1/2 into 1/2 15.045 * [taylor]: Taking taylor expansion of K in K 15.045 * [backup-simplify]: Simplify 0 into 0 15.045 * [backup-simplify]: Simplify 1 into 1 15.046 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.046 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.046 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.046 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.046 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.046 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.046 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.046 * [taylor]: Taking taylor expansion of 1 in K 15.046 * [backup-simplify]: Simplify 1 into 1 15.047 * [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)))) 15.047 * [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) 15.047 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 15.047 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.048 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.048 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.048 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.049 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.049 * [backup-simplify]: Simplify (+ 0 0) into 0 15.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.050 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.050 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.050 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.050 * [taylor]: Taking taylor expansion of 1/4 in J 15.050 * [backup-simplify]: Simplify 1/4 into 1/4 15.050 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.050 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.050 * [taylor]: Taking taylor expansion of J in J 15.050 * [backup-simplify]: Simplify 0 into 0 15.050 * [backup-simplify]: Simplify 1 into 1 15.050 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.050 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.050 * [taylor]: Taking taylor expansion of U in J 15.050 * [backup-simplify]: Simplify U into U 15.050 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.050 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.050 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.050 * [taylor]: Taking taylor expansion of 1/2 in J 15.050 * [backup-simplify]: Simplify 1/2 into 1/2 15.050 * [taylor]: Taking taylor expansion of K in J 15.051 * [backup-simplify]: Simplify K into K 15.051 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.051 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.051 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.051 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.051 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.051 * [backup-simplify]: Simplify (- 0) into 0 15.051 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.052 * [backup-simplify]: Simplify (* 1 1) into 1 15.052 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.052 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.052 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.052 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.052 * [taylor]: Taking taylor expansion of 1 in J 15.052 * [backup-simplify]: Simplify 1 into 1 15.053 * [backup-simplify]: Simplify (+ 0 1) into 1 15.053 * [backup-simplify]: Simplify (sqrt 1) into 1 15.054 * [backup-simplify]: Simplify (+ 0 0) into 0 15.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.054 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.054 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.054 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.054 * [taylor]: Taking taylor expansion of 1/4 in U 15.054 * [backup-simplify]: Simplify 1/4 into 1/4 15.054 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.055 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.055 * [taylor]: Taking taylor expansion of J in U 15.055 * [backup-simplify]: Simplify J into J 15.055 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.055 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.055 * [taylor]: Taking taylor expansion of U in U 15.055 * [backup-simplify]: Simplify 0 into 0 15.055 * [backup-simplify]: Simplify 1 into 1 15.055 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.055 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.055 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.055 * [taylor]: Taking taylor expansion of 1/2 in U 15.055 * [backup-simplify]: Simplify 1/2 into 1/2 15.055 * [taylor]: Taking taylor expansion of K in U 15.055 * [backup-simplify]: Simplify K into K 15.055 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.055 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.055 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.055 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.055 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.056 * [backup-simplify]: Simplify (- 0) into 0 15.056 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.056 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.056 * [backup-simplify]: Simplify (* 1 1) into 1 15.056 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.056 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.057 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.057 * [taylor]: Taking taylor expansion of 1 in U 15.057 * [backup-simplify]: Simplify 1 into 1 15.057 * [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))) 15.057 * [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))) 15.057 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.057 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.058 * [backup-simplify]: Simplify (+ 0) into 0 15.058 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.058 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.060 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.060 * [backup-simplify]: Simplify (- 0) into 0 15.060 * [backup-simplify]: Simplify (+ 0 0) into 0 15.061 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.062 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.063 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.063 * [backup-simplify]: Simplify (+ 0 0) into 0 15.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.063 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.064 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.064 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.064 * [taylor]: Taking taylor expansion of 1/4 in U 15.064 * [backup-simplify]: Simplify 1/4 into 1/4 15.064 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.064 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.064 * [taylor]: Taking taylor expansion of J in U 15.064 * [backup-simplify]: Simplify J into J 15.064 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.064 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.064 * [taylor]: Taking taylor expansion of U in U 15.064 * [backup-simplify]: Simplify 0 into 0 15.064 * [backup-simplify]: Simplify 1 into 1 15.064 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.064 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.064 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.064 * [taylor]: Taking taylor expansion of 1/2 in U 15.064 * [backup-simplify]: Simplify 1/2 into 1/2 15.064 * [taylor]: Taking taylor expansion of K in U 15.064 * [backup-simplify]: Simplify K into K 15.064 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.064 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.064 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.064 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.064 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.065 * [backup-simplify]: Simplify (- 0) into 0 15.065 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.065 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.065 * [backup-simplify]: Simplify (* 1 1) into 1 15.066 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.066 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.066 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.066 * [taylor]: Taking taylor expansion of 1 in U 15.066 * [backup-simplify]: Simplify 1 into 1 15.066 * [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))) 15.066 * [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))) 15.067 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.067 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.067 * [backup-simplify]: Simplify (+ 0) into 0 15.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.068 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.069 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.069 * [backup-simplify]: Simplify (- 0) into 0 15.070 * [backup-simplify]: Simplify (+ 0 0) into 0 15.070 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.071 * [backup-simplify]: 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 15.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.072 * [backup-simplify]: Simplify (+ 0 0) into 0 15.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 15.073 * [taylor]: Taking taylor expansion of 1/2 in J 15.073 * [backup-simplify]: Simplify 1/2 into 1/2 15.073 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 15.073 * [taylor]: Taking taylor expansion of J in J 15.073 * [backup-simplify]: Simplify 0 into 0 15.073 * [backup-simplify]: Simplify 1 into 1 15.073 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.073 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.073 * [taylor]: Taking taylor expansion of 1/2 in J 15.073 * [backup-simplify]: Simplify 1/2 into 1/2 15.073 * [taylor]: Taking taylor expansion of K in J 15.073 * [backup-simplify]: Simplify K into K 15.073 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.073 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.073 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.073 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.073 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.074 * [backup-simplify]: Simplify (- 0) into 0 15.074 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.074 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.074 * [taylor]: Taking taylor expansion of 0 in J 15.074 * [backup-simplify]: Simplify 0 into 0 15.074 * [taylor]: Taking taylor expansion of 0 in K 15.074 * [backup-simplify]: Simplify 0 into 0 15.074 * [backup-simplify]: Simplify 0 into 0 15.074 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 15.074 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 15.074 * [taylor]: Taking taylor expansion of 1/2 in K 15.074 * [backup-simplify]: Simplify 1/2 into 1/2 15.074 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.074 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.074 * [taylor]: Taking taylor expansion of 1/2 in K 15.074 * [backup-simplify]: Simplify 1/2 into 1/2 15.074 * [taylor]: Taking taylor expansion of K in K 15.074 * [backup-simplify]: Simplify 0 into 0 15.074 * [backup-simplify]: Simplify 1 into 1 15.075 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.075 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.075 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.075 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.076 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.076 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.077 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.078 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.079 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.079 * [backup-simplify]: Simplify (- 0) into 0 15.079 * [backup-simplify]: Simplify (+ 0 0) into 0 15.080 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.082 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.084 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.084 * [backup-simplify]: Simplify (+ 0 1) into 1 15.085 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.085 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.085 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.085 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.086 * [taylor]: Taking taylor expansion of 1/2 in J 15.086 * [backup-simplify]: Simplify 1/2 into 1/2 15.086 * [taylor]: Taking taylor expansion of K in J 15.086 * [backup-simplify]: Simplify K into K 15.086 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.086 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.086 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.086 * [taylor]: Taking taylor expansion of J in J 15.086 * [backup-simplify]: Simplify 0 into 0 15.086 * [backup-simplify]: Simplify 1 into 1 15.086 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.086 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.086 * [backup-simplify]: Simplify (- 0) into 0 15.087 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.087 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.087 * [backup-simplify]: Simplify (+ 0) into 0 15.088 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.088 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.089 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.090 * [backup-simplify]: Simplify (- 0) into 0 15.090 * [backup-simplify]: Simplify (+ 0 0) into 0 15.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.091 * [taylor]: Taking taylor expansion of 0 in K 15.091 * [backup-simplify]: Simplify 0 into 0 15.091 * [backup-simplify]: Simplify 0 into 0 15.091 * [taylor]: Taking taylor expansion of 0 in K 15.091 * [backup-simplify]: Simplify 0 into 0 15.091 * [backup-simplify]: Simplify 0 into 0 15.092 * [backup-simplify]: Simplify (+ 0) into 0 15.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.093 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.094 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.094 * [backup-simplify]: Simplify (- 0) into 0 15.095 * [backup-simplify]: Simplify (+ 0 0) into 0 15.095 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.095 * [taylor]: Taking taylor expansion of 0 in K 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.096 * [backup-simplify]: Simplify 0 into 0 15.097 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.098 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.101 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.101 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.102 * [backup-simplify]: Simplify (- 0) into 0 15.102 * [backup-simplify]: Simplify (+ 0 0) into 0 15.103 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.106 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.107 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.108 * [backup-simplify]: Simplify (+ 0 0) into 0 15.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.108 * [taylor]: Taking taylor expansion of 0 in J 15.108 * [backup-simplify]: Simplify 0 into 0 15.108 * [taylor]: Taking taylor expansion of 0 in K 15.108 * [backup-simplify]: Simplify 0 into 0 15.108 * [backup-simplify]: Simplify 0 into 0 15.109 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.109 * [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)))))) 15.109 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 15.109 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.109 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.109 * [taylor]: Taking taylor expansion of 1 in K 15.109 * [backup-simplify]: Simplify 1 into 1 15.109 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.109 * [taylor]: Taking taylor expansion of 1/4 in K 15.109 * [backup-simplify]: Simplify 1/4 into 1/4 15.109 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.109 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.109 * [taylor]: Taking taylor expansion of J in K 15.109 * [backup-simplify]: Simplify J into J 15.109 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.109 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.110 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.110 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.110 * [taylor]: Taking taylor expansion of -1/2 in K 15.110 * [backup-simplify]: Simplify -1/2 into -1/2 15.110 * [taylor]: Taking taylor expansion of K in K 15.110 * [backup-simplify]: Simplify 0 into 0 15.110 * [backup-simplify]: Simplify 1 into 1 15.110 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.110 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.110 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.110 * [taylor]: Taking taylor expansion of U in K 15.110 * [backup-simplify]: Simplify U into U 15.110 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.111 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.111 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.111 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.111 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.111 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.112 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 15.112 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.112 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.112 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.113 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.113 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.113 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 15.114 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.115 * [backup-simplify]: Simplify (+ 0 0) into 0 15.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.115 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.115 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.115 * [taylor]: Taking taylor expansion of 1 in J 15.115 * [backup-simplify]: Simplify 1 into 1 15.115 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.115 * [taylor]: Taking taylor expansion of 1/4 in J 15.115 * [backup-simplify]: Simplify 1/4 into 1/4 15.115 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.115 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.115 * [taylor]: Taking taylor expansion of J in J 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify 1 into 1 15.115 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.116 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.116 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.116 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.116 * [taylor]: Taking taylor expansion of -1/2 in J 15.116 * [backup-simplify]: Simplify -1/2 into -1/2 15.116 * [taylor]: Taking taylor expansion of K in J 15.116 * [backup-simplify]: Simplify K into K 15.116 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.116 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.116 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.116 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.116 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.117 * [backup-simplify]: Simplify (- 0) into 0 15.117 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.117 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.117 * [taylor]: Taking taylor expansion of U in J 15.117 * [backup-simplify]: Simplify U into U 15.117 * [backup-simplify]: Simplify (* 1 1) into 1 15.117 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.117 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.117 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.118 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.118 * [backup-simplify]: Simplify (+ 1 0) into 1 15.119 * [backup-simplify]: Simplify (sqrt 1) into 1 15.119 * [backup-simplify]: Simplify (+ 0 0) into 0 15.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.120 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.120 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.120 * [taylor]: Taking taylor expansion of 1 in U 15.120 * [backup-simplify]: Simplify 1 into 1 15.120 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.120 * [taylor]: Taking taylor expansion of 1/4 in U 15.120 * [backup-simplify]: Simplify 1/4 into 1/4 15.120 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.120 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.120 * [taylor]: Taking taylor expansion of J in U 15.120 * [backup-simplify]: Simplify J into J 15.120 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.120 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.120 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.120 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.120 * [taylor]: Taking taylor expansion of -1/2 in U 15.120 * [backup-simplify]: Simplify -1/2 into -1/2 15.120 * [taylor]: Taking taylor expansion of K in U 15.120 * [backup-simplify]: Simplify K into K 15.120 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.120 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.121 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.121 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.121 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.121 * [backup-simplify]: Simplify (- 0) into 0 15.121 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.121 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.121 * [taylor]: Taking taylor expansion of U in U 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [backup-simplify]: Simplify 1 into 1 15.121 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.122 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.122 * [backup-simplify]: Simplify (* 1 1) into 1 15.122 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.122 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.122 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.123 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.123 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.123 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.124 * [backup-simplify]: Simplify (+ 0) into 0 15.125 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.125 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.126 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.127 * [backup-simplify]: Simplify (- 0) into 0 15.127 * [backup-simplify]: Simplify (+ 0 0) into 0 15.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.128 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.128 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.129 * [backup-simplify]: Simplify (+ 0 0) into 0 15.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.129 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.130 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.130 * [taylor]: Taking taylor expansion of 1 in U 15.130 * [backup-simplify]: Simplify 1 into 1 15.130 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.130 * [taylor]: Taking taylor expansion of 1/4 in U 15.130 * [backup-simplify]: Simplify 1/4 into 1/4 15.130 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.130 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.130 * [taylor]: Taking taylor expansion of J in U 15.130 * [backup-simplify]: Simplify J into J 15.130 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.130 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.130 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.130 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.130 * [taylor]: Taking taylor expansion of -1/2 in U 15.130 * [backup-simplify]: Simplify -1/2 into -1/2 15.130 * [taylor]: Taking taylor expansion of K in U 15.130 * [backup-simplify]: Simplify K into K 15.130 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.130 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.130 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.130 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.130 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.131 * [backup-simplify]: Simplify (- 0) into 0 15.131 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.131 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.131 * [taylor]: Taking taylor expansion of U in U 15.131 * [backup-simplify]: Simplify 0 into 0 15.131 * [backup-simplify]: Simplify 1 into 1 15.131 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.131 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.132 * [backup-simplify]: Simplify (* 1 1) into 1 15.132 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.132 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.132 * [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))) 15.132 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.133 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.133 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.134 * [backup-simplify]: Simplify (+ 0) into 0 15.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.135 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.136 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.137 * [backup-simplify]: Simplify (- 0) into 0 15.137 * [backup-simplify]: Simplify (+ 0 0) into 0 15.137 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.138 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.138 * [backup-simplify]: 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 15.139 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.139 * [backup-simplify]: Simplify (+ 0 0) into 0 15.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 15.140 * [taylor]: Taking taylor expansion of 1/2 in J 15.140 * [backup-simplify]: Simplify 1/2 into 1/2 15.140 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 15.140 * [taylor]: Taking taylor expansion of J in J 15.140 * [backup-simplify]: Simplify 0 into 0 15.140 * [backup-simplify]: Simplify 1 into 1 15.140 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.140 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.140 * [taylor]: Taking taylor expansion of -1/2 in J 15.140 * [backup-simplify]: Simplify -1/2 into -1/2 15.140 * [taylor]: Taking taylor expansion of K in J 15.140 * [backup-simplify]: Simplify K into K 15.140 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.140 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.140 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.140 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.140 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.141 * [backup-simplify]: Simplify (- 0) into 0 15.141 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.141 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.141 * [taylor]: Taking taylor expansion of 0 in J 15.141 * [backup-simplify]: Simplify 0 into 0 15.141 * [taylor]: Taking taylor expansion of 0 in K 15.141 * [backup-simplify]: Simplify 0 into 0 15.141 * [backup-simplify]: Simplify 0 into 0 15.141 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 15.141 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 15.141 * [taylor]: Taking taylor expansion of 1/2 in K 15.141 * [backup-simplify]: Simplify 1/2 into 1/2 15.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.142 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.142 * [taylor]: Taking taylor expansion of -1/2 in K 15.142 * [backup-simplify]: Simplify -1/2 into -1/2 15.142 * [taylor]: Taking taylor expansion of K in K 15.142 * [backup-simplify]: Simplify 0 into 0 15.142 * [backup-simplify]: Simplify 1 into 1 15.142 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.142 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.142 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.142 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.143 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.146 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.146 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.147 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.147 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.148 * [backup-simplify]: Simplify (- 0) into 0 15.148 * [backup-simplify]: Simplify (+ 0 0) into 0 15.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.154 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.155 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.156 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.157 * [backup-simplify]: Simplify (+ 1 0) into 1 15.158 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.158 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.158 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.158 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.158 * [taylor]: Taking taylor expansion of -1/2 in J 15.158 * [backup-simplify]: Simplify -1/2 into -1/2 15.158 * [taylor]: Taking taylor expansion of K in J 15.158 * [backup-simplify]: Simplify K into K 15.158 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.158 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.158 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.158 * [taylor]: Taking taylor expansion of J in J 15.158 * [backup-simplify]: Simplify 0 into 0 15.158 * [backup-simplify]: Simplify 1 into 1 15.158 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.158 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.159 * [backup-simplify]: Simplify (- 0) into 0 15.159 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.159 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.159 * [backup-simplify]: Simplify (+ 0) into 0 15.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.160 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.161 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.161 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.162 * [backup-simplify]: Simplify (- 0) into 0 15.162 * [backup-simplify]: Simplify (+ 0 0) into 0 15.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.163 * [taylor]: Taking taylor expansion of 0 in K 15.163 * [backup-simplify]: Simplify 0 into 0 15.163 * [backup-simplify]: Simplify 0 into 0 15.163 * [taylor]: Taking taylor expansion of 0 in K 15.163 * [backup-simplify]: Simplify 0 into 0 15.163 * [backup-simplify]: Simplify 0 into 0 15.163 * [backup-simplify]: Simplify (+ 0) into 0 15.164 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.164 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.165 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.166 * [backup-simplify]: Simplify (- 0) into 0 15.166 * [backup-simplify]: Simplify (+ 0 0) into 0 15.166 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 15.167 * [taylor]: Taking taylor expansion of 0 in K 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.167 * [backup-simplify]: Simplify 0 into 0 15.168 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.170 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.171 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.172 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.173 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.173 * [backup-simplify]: Simplify (- 0) into 0 15.173 * [backup-simplify]: Simplify (+ 0 0) into 0 15.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 15.175 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.176 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.177 * [backup-simplify]: Simplify (+ 0 0) into 0 15.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.177 * [taylor]: Taking taylor expansion of 0 in J 15.177 * [backup-simplify]: Simplify 0 into 0 15.177 * [taylor]: Taking taylor expansion of 0 in K 15.178 * [backup-simplify]: Simplify 0 into 0 15.178 * [backup-simplify]: Simplify 0 into 0 15.178 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.178 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1) 15.178 * [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)) 15.178 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 15.178 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.178 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.178 * [taylor]: Taking taylor expansion of 1/4 in K 15.178 * [backup-simplify]: Simplify 1/4 into 1/4 15.178 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.178 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.178 * [taylor]: Taking taylor expansion of U in K 15.178 * [backup-simplify]: Simplify U into U 15.178 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.179 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.179 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.179 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.179 * [taylor]: Taking taylor expansion of 1/2 in K 15.179 * [backup-simplify]: Simplify 1/2 into 1/2 15.179 * [taylor]: Taking taylor expansion of K in K 15.179 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify 1 into 1 15.179 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.180 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.180 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.180 * [taylor]: Taking taylor expansion of J in K 15.180 * [backup-simplify]: Simplify J into J 15.180 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.180 * [backup-simplify]: Simplify (* 1 1) into 1 15.180 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.180 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.180 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.181 * [taylor]: Taking taylor expansion of 1 in K 15.181 * [backup-simplify]: Simplify 1 into 1 15.181 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.181 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.181 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.181 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.181 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.182 * [backup-simplify]: Simplify (+ 0) into 0 15.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.183 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.184 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.184 * [backup-simplify]: Simplify (+ 0 0) into 0 15.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.184 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.184 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.184 * [taylor]: Taking taylor expansion of 1/4 in J 15.184 * [backup-simplify]: Simplify 1/4 into 1/4 15.184 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.184 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.184 * [taylor]: Taking taylor expansion of U in J 15.184 * [backup-simplify]: Simplify U into U 15.185 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.185 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.185 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.185 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.185 * [taylor]: Taking taylor expansion of 1/2 in J 15.185 * [backup-simplify]: Simplify 1/2 into 1/2 15.185 * [taylor]: Taking taylor expansion of K in J 15.185 * [backup-simplify]: Simplify K into K 15.185 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.185 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.185 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.185 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.185 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.185 * [backup-simplify]: Simplify (- 0) into 0 15.185 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.185 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.185 * [taylor]: Taking taylor expansion of J in J 15.185 * [backup-simplify]: Simplify 0 into 0 15.185 * [backup-simplify]: Simplify 1 into 1 15.186 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.186 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.186 * [backup-simplify]: Simplify (* 1 1) into 1 15.186 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.186 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.186 * [taylor]: Taking taylor expansion of 1 in J 15.186 * [backup-simplify]: Simplify 1 into 1 15.186 * [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))) 15.187 * [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))) 15.187 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.187 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.188 * [backup-simplify]: Simplify (+ 0) into 0 15.188 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.190 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.190 * [backup-simplify]: Simplify (- 0) into 0 15.191 * [backup-simplify]: Simplify (+ 0 0) into 0 15.191 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.191 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.191 * [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 15.192 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.192 * [backup-simplify]: Simplify (+ 0 0) into 0 15.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.193 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.193 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.193 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.193 * [taylor]: Taking taylor expansion of 1/4 in U 15.193 * [backup-simplify]: Simplify 1/4 into 1/4 15.193 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.193 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.193 * [taylor]: Taking taylor expansion of U in U 15.193 * [backup-simplify]: Simplify 0 into 0 15.193 * [backup-simplify]: Simplify 1 into 1 15.193 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.193 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.193 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.193 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.193 * [taylor]: Taking taylor expansion of 1/2 in U 15.193 * [backup-simplify]: Simplify 1/2 into 1/2 15.193 * [taylor]: Taking taylor expansion of K in U 15.193 * [backup-simplify]: Simplify K into K 15.193 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.193 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.193 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.193 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.193 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.194 * [backup-simplify]: Simplify (- 0) into 0 15.194 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.194 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.194 * [taylor]: Taking taylor expansion of J in U 15.194 * [backup-simplify]: Simplify J into J 15.194 * [backup-simplify]: Simplify (* 1 1) into 1 15.194 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.195 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.195 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.195 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.195 * [taylor]: Taking taylor expansion of 1 in U 15.195 * [backup-simplify]: Simplify 1 into 1 15.195 * [backup-simplify]: Simplify (+ 0 1) into 1 15.196 * [backup-simplify]: Simplify (sqrt 1) into 1 15.196 * [backup-simplify]: Simplify (+ 0 0) into 0 15.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.197 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.197 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.197 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.197 * [taylor]: Taking taylor expansion of 1/4 in U 15.197 * [backup-simplify]: Simplify 1/4 into 1/4 15.198 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.198 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.198 * [taylor]: Taking taylor expansion of U in U 15.198 * [backup-simplify]: Simplify 0 into 0 15.198 * [backup-simplify]: Simplify 1 into 1 15.198 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.198 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.198 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.198 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.198 * [taylor]: Taking taylor expansion of 1/2 in U 15.198 * [backup-simplify]: Simplify 1/2 into 1/2 15.198 * [taylor]: Taking taylor expansion of K in U 15.198 * [backup-simplify]: Simplify K into K 15.198 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.198 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.198 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.198 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.198 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.199 * [backup-simplify]: Simplify (- 0) into 0 15.199 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.199 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.199 * [taylor]: Taking taylor expansion of J in U 15.199 * [backup-simplify]: Simplify J into J 15.199 * [backup-simplify]: Simplify (* 1 1) into 1 15.199 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.199 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.200 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.200 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.200 * [taylor]: Taking taylor expansion of 1 in U 15.200 * [backup-simplify]: Simplify 1 into 1 15.200 * [backup-simplify]: Simplify (+ 0 1) into 1 15.200 * [backup-simplify]: Simplify (sqrt 1) into 1 15.201 * [backup-simplify]: Simplify (+ 0 0) into 0 15.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.201 * [taylor]: Taking taylor expansion of 1 in J 15.201 * [backup-simplify]: Simplify 1 into 1 15.201 * [taylor]: Taking taylor expansion of 0 in J 15.201 * [backup-simplify]: Simplify 0 into 0 15.201 * [taylor]: Taking taylor expansion of 1 in K 15.201 * [backup-simplify]: Simplify 1 into 1 15.201 * [backup-simplify]: Simplify 1 into 1 15.202 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.202 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 15.203 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.203 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.203 * [taylor]: Taking taylor expansion of 1/8 in J 15.203 * [backup-simplify]: Simplify 1/8 into 1/8 15.203 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.203 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.203 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.203 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.203 * [taylor]: Taking taylor expansion of 1/2 in J 15.203 * [backup-simplify]: Simplify 1/2 into 1/2 15.203 * [taylor]: Taking taylor expansion of K in J 15.203 * [backup-simplify]: Simplify K into K 15.203 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.203 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.203 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.203 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.203 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.203 * [backup-simplify]: Simplify (- 0) into 0 15.203 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.203 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.203 * [taylor]: Taking taylor expansion of J in J 15.203 * [backup-simplify]: Simplify 0 into 0 15.203 * [backup-simplify]: Simplify 1 into 1 15.203 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.204 * [backup-simplify]: Simplify (* 1 1) into 1 15.204 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.204 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 15.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.204 * [backup-simplify]: Simplify (+ 0) into 0 15.205 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.206 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.206 * [backup-simplify]: Simplify (- 0) into 0 15.206 * [backup-simplify]: Simplify (+ 0 0) into 0 15.206 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.207 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.207 * [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))))) into 0 15.207 * [taylor]: Taking taylor expansion of 0 in K 15.207 * [backup-simplify]: Simplify 0 into 0 15.207 * [backup-simplify]: Simplify 0 into 0 15.207 * [taylor]: Taking taylor expansion of 0 in K 15.207 * [backup-simplify]: Simplify 0 into 0 15.207 * [backup-simplify]: Simplify 0 into 0 15.207 * [taylor]: Taking taylor expansion of 0 in K 15.207 * [backup-simplify]: Simplify 0 into 0 15.207 * [backup-simplify]: Simplify 0 into 0 15.207 * [backup-simplify]: Simplify 0 into 0 15.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.208 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.208 * [backup-simplify]: Simplify (+ 0) into 0 15.208 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.209 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.209 * [backup-simplify]: Simplify (- 0) into 0 15.210 * [backup-simplify]: Simplify (+ 0 0) into 0 15.210 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.210 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.210 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 15.211 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.211 * [backup-simplify]: Simplify (+ 0 0) into 0 15.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.211 * [taylor]: Taking taylor expansion of 0 in J 15.211 * [backup-simplify]: Simplify 0 into 0 15.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.212 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.213 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.214 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.214 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.214 * [backup-simplify]: Simplify (- 0) into 0 15.215 * [backup-simplify]: Simplify (+ 0 0) into 0 15.215 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 15.215 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.216 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.216 * [taylor]: Taking taylor expansion of 0 in K 15.216 * [backup-simplify]: Simplify 0 into 0 15.216 * [backup-simplify]: Simplify 0 into 0 15.216 * [taylor]: Taking taylor expansion of 0 in K 15.216 * [backup-simplify]: Simplify 0 into 0 15.216 * [backup-simplify]: Simplify 0 into 0 15.216 * [backup-simplify]: Simplify 1 into 1 15.216 * [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)) 15.216 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 15.216 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.216 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.216 * [taylor]: Taking taylor expansion of 1/4 in K 15.216 * [backup-simplify]: Simplify 1/4 into 1/4 15.216 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.216 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.216 * [taylor]: Taking taylor expansion of J in K 15.216 * [backup-simplify]: Simplify J into J 15.216 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.216 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.216 * [taylor]: Taking taylor expansion of U in K 15.216 * [backup-simplify]: Simplify U into U 15.216 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.216 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.216 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.216 * [taylor]: Taking taylor expansion of 1/2 in K 15.216 * [backup-simplify]: Simplify 1/2 into 1/2 15.216 * [taylor]: Taking taylor expansion of K in K 15.216 * [backup-simplify]: Simplify 0 into 0 15.216 * [backup-simplify]: Simplify 1 into 1 15.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.217 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.217 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.217 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.217 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.217 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.217 * [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))) 15.217 * [taylor]: Taking taylor expansion of 1 in K 15.217 * [backup-simplify]: Simplify 1 into 1 15.217 * [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)))) 15.217 * [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) 15.218 * [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)) 15.218 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.218 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.218 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.218 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.218 * [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 15.219 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.219 * [backup-simplify]: Simplify (+ 0 0) into 0 15.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.219 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.219 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.219 * [taylor]: Taking taylor expansion of 1/4 in J 15.219 * [backup-simplify]: Simplify 1/4 into 1/4 15.219 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.219 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.219 * [taylor]: Taking taylor expansion of J in J 15.219 * [backup-simplify]: Simplify 0 into 0 15.219 * [backup-simplify]: Simplify 1 into 1 15.219 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.220 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.220 * [taylor]: Taking taylor expansion of U in J 15.220 * [backup-simplify]: Simplify U into U 15.220 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.220 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.220 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.220 * [taylor]: Taking taylor expansion of 1/2 in J 15.220 * [backup-simplify]: Simplify 1/2 into 1/2 15.220 * [taylor]: Taking taylor expansion of K in J 15.220 * [backup-simplify]: Simplify K into K 15.220 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.220 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.220 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.220 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.220 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.220 * [backup-simplify]: Simplify (- 0) into 0 15.220 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.221 * [backup-simplify]: Simplify (* 1 1) into 1 15.221 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.221 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.221 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.221 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.221 * [taylor]: Taking taylor expansion of 1 in J 15.221 * [backup-simplify]: Simplify 1 into 1 15.221 * [backup-simplify]: Simplify (+ 0 1) into 1 15.222 * [backup-simplify]: Simplify (sqrt 1) into 1 15.222 * [backup-simplify]: Simplify (+ 0 0) into 0 15.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.222 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.222 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.222 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.222 * [taylor]: Taking taylor expansion of 1/4 in U 15.222 * [backup-simplify]: Simplify 1/4 into 1/4 15.222 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.222 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.222 * [taylor]: Taking taylor expansion of J in U 15.222 * [backup-simplify]: Simplify J into J 15.223 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.223 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.223 * [taylor]: Taking taylor expansion of U in U 15.223 * [backup-simplify]: Simplify 0 into 0 15.223 * [backup-simplify]: Simplify 1 into 1 15.223 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.223 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.223 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.223 * [taylor]: Taking taylor expansion of 1/2 in U 15.223 * [backup-simplify]: Simplify 1/2 into 1/2 15.223 * [taylor]: Taking taylor expansion of K in U 15.223 * [backup-simplify]: Simplify K into K 15.223 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.223 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.223 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.223 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.223 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.223 * [backup-simplify]: Simplify (- 0) into 0 15.223 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.223 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.224 * [backup-simplify]: Simplify (* 1 1) into 1 15.224 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.224 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.224 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.224 * [taylor]: Taking taylor expansion of 1 in U 15.224 * [backup-simplify]: Simplify 1 into 1 15.224 * [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))) 15.224 * [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))) 15.224 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.224 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.225 * [backup-simplify]: Simplify (+ 0) into 0 15.225 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.226 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.226 * [backup-simplify]: Simplify (- 0) into 0 15.226 * [backup-simplify]: Simplify (+ 0 0) into 0 15.226 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.227 * [backup-simplify]: 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 15.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.228 * [backup-simplify]: Simplify (+ 0 0) into 0 15.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.228 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.228 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.228 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.228 * [taylor]: Taking taylor expansion of 1/4 in U 15.228 * [backup-simplify]: Simplify 1/4 into 1/4 15.228 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.228 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.228 * [taylor]: Taking taylor expansion of J in U 15.228 * [backup-simplify]: Simplify J into J 15.228 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.228 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.228 * [taylor]: Taking taylor expansion of U in U 15.228 * [backup-simplify]: Simplify 0 into 0 15.228 * [backup-simplify]: Simplify 1 into 1 15.228 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.228 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.228 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.228 * [taylor]: Taking taylor expansion of 1/2 in U 15.228 * [backup-simplify]: Simplify 1/2 into 1/2 15.228 * [taylor]: Taking taylor expansion of K in U 15.229 * [backup-simplify]: Simplify K into K 15.229 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.229 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.229 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.229 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.229 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.229 * [backup-simplify]: Simplify (- 0) into 0 15.229 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.229 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.230 * [backup-simplify]: Simplify (* 1 1) into 1 15.230 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.230 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.230 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.230 * [taylor]: Taking taylor expansion of 1 in U 15.230 * [backup-simplify]: Simplify 1 into 1 15.230 * [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))) 15.231 * [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))) 15.231 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.231 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.231 * [backup-simplify]: Simplify (+ 0) into 0 15.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.232 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.233 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.234 * [backup-simplify]: Simplify (- 0) into 0 15.234 * [backup-simplify]: Simplify (+ 0 0) into 0 15.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.236 * [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 15.237 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.237 * [backup-simplify]: Simplify (+ 0 0) into 0 15.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 15.237 * [taylor]: Taking taylor expansion of 1/2 in J 15.237 * [backup-simplify]: Simplify 1/2 into 1/2 15.237 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 15.237 * [taylor]: Taking taylor expansion of J in J 15.237 * [backup-simplify]: Simplify 0 into 0 15.237 * [backup-simplify]: Simplify 1 into 1 15.238 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.238 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.238 * [taylor]: Taking taylor expansion of 1/2 in J 15.238 * [backup-simplify]: Simplify 1/2 into 1/2 15.238 * [taylor]: Taking taylor expansion of K in J 15.238 * [backup-simplify]: Simplify K into K 15.238 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.238 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.238 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.238 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.238 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.238 * [backup-simplify]: Simplify (- 0) into 0 15.238 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.239 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.239 * [taylor]: Taking taylor expansion of 0 in J 15.239 * [backup-simplify]: Simplify 0 into 0 15.239 * [taylor]: Taking taylor expansion of 0 in K 15.239 * [backup-simplify]: Simplify 0 into 0 15.239 * [backup-simplify]: Simplify 0 into 0 15.239 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 15.239 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 15.239 * [taylor]: Taking taylor expansion of 1/2 in K 15.239 * [backup-simplify]: Simplify 1/2 into 1/2 15.239 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.239 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.239 * [taylor]: Taking taylor expansion of 1/2 in K 15.239 * [backup-simplify]: Simplify 1/2 into 1/2 15.239 * [taylor]: Taking taylor expansion of K in K 15.239 * [backup-simplify]: Simplify 0 into 0 15.239 * [backup-simplify]: Simplify 1 into 1 15.240 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.240 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.240 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.240 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.240 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.242 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.243 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.244 * [backup-simplify]: Simplify (- 0) into 0 15.244 * [backup-simplify]: Simplify (+ 0 0) into 0 15.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.247 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.248 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.249 * [backup-simplify]: Simplify (+ 0 1) into 1 15.249 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.249 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.249 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.250 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.250 * [taylor]: Taking taylor expansion of 1/2 in J 15.250 * [backup-simplify]: Simplify 1/2 into 1/2 15.250 * [taylor]: Taking taylor expansion of K in J 15.250 * [backup-simplify]: Simplify K into K 15.250 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.250 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.250 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.250 * [taylor]: Taking taylor expansion of J in J 15.250 * [backup-simplify]: Simplify 0 into 0 15.250 * [backup-simplify]: Simplify 1 into 1 15.250 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.250 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.250 * [backup-simplify]: Simplify (- 0) into 0 15.251 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.251 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.251 * [backup-simplify]: Simplify (+ 0) into 0 15.251 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.252 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.253 * [backup-simplify]: Simplify (- 0) into 0 15.254 * [backup-simplify]: Simplify (+ 0 0) into 0 15.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.255 * [taylor]: Taking taylor expansion of 0 in K 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [taylor]: Taking taylor expansion of 0 in K 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify (+ 0) into 0 15.256 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.256 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.257 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.257 * [backup-simplify]: Simplify (- 0) into 0 15.258 * [backup-simplify]: Simplify (+ 0 0) into 0 15.258 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.259 * [taylor]: Taking taylor expansion of 0 in K 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.260 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.261 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.261 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.262 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.264 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.264 * [backup-simplify]: Simplify (- 0) into 0 15.265 * [backup-simplify]: Simplify (+ 0 0) into 0 15.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.269 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.270 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.270 * [backup-simplify]: Simplify (+ 0 0) into 0 15.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.271 * [taylor]: Taking taylor expansion of 0 in J 15.271 * [backup-simplify]: Simplify 0 into 0 15.271 * [taylor]: Taking taylor expansion of 0 in K 15.271 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.271 * [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)))))) 15.271 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 15.272 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.272 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.272 * [taylor]: Taking taylor expansion of 1 in K 15.272 * [backup-simplify]: Simplify 1 into 1 15.272 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.272 * [taylor]: Taking taylor expansion of 1/4 in K 15.272 * [backup-simplify]: Simplify 1/4 into 1/4 15.272 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.272 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.272 * [taylor]: Taking taylor expansion of J in K 15.272 * [backup-simplify]: Simplify J into J 15.272 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.272 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.272 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.272 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.272 * [taylor]: Taking taylor expansion of -1/2 in K 15.272 * [backup-simplify]: Simplify -1/2 into -1/2 15.272 * [taylor]: Taking taylor expansion of K in K 15.272 * [backup-simplify]: Simplify 0 into 0 15.272 * [backup-simplify]: Simplify 1 into 1 15.272 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.273 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.273 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.273 * [taylor]: Taking taylor expansion of U in K 15.273 * [backup-simplify]: Simplify U into U 15.273 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.273 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.273 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.273 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.273 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.274 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.274 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 15.274 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.274 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.274 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.275 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.275 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 15.276 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.276 * [backup-simplify]: Simplify (+ 0 0) into 0 15.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.277 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.277 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.277 * [taylor]: Taking taylor expansion of 1 in J 15.277 * [backup-simplify]: Simplify 1 into 1 15.277 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.277 * [taylor]: Taking taylor expansion of 1/4 in J 15.277 * [backup-simplify]: Simplify 1/4 into 1/4 15.277 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.277 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.277 * [taylor]: Taking taylor expansion of J in J 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify 1 into 1 15.277 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.277 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.277 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.277 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.277 * [taylor]: Taking taylor expansion of -1/2 in J 15.277 * [backup-simplify]: Simplify -1/2 into -1/2 15.277 * [taylor]: Taking taylor expansion of K in J 15.277 * [backup-simplify]: Simplify K into K 15.277 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.278 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.278 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.278 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.278 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.278 * [backup-simplify]: Simplify (- 0) into 0 15.278 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.278 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.278 * [taylor]: Taking taylor expansion of U in J 15.278 * [backup-simplify]: Simplify U into U 15.279 * [backup-simplify]: Simplify (* 1 1) into 1 15.279 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.279 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.279 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.280 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.280 * [backup-simplify]: Simplify (+ 1 0) into 1 15.280 * [backup-simplify]: Simplify (sqrt 1) into 1 15.281 * [backup-simplify]: Simplify (+ 0 0) into 0 15.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.286 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.286 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.286 * [taylor]: Taking taylor expansion of 1 in U 15.286 * [backup-simplify]: Simplify 1 into 1 15.286 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.286 * [taylor]: Taking taylor expansion of 1/4 in U 15.286 * [backup-simplify]: Simplify 1/4 into 1/4 15.286 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.286 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.286 * [taylor]: Taking taylor expansion of J in U 15.286 * [backup-simplify]: Simplify J into J 15.286 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.286 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.286 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.286 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.286 * [taylor]: Taking taylor expansion of -1/2 in U 15.286 * [backup-simplify]: Simplify -1/2 into -1/2 15.286 * [taylor]: Taking taylor expansion of K in U 15.286 * [backup-simplify]: Simplify K into K 15.287 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.287 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.287 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.287 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.287 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.288 * [backup-simplify]: Simplify (- 0) into 0 15.288 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.288 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.288 * [taylor]: Taking taylor expansion of U in U 15.288 * [backup-simplify]: Simplify 0 into 0 15.288 * [backup-simplify]: Simplify 1 into 1 15.288 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.288 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.288 * [backup-simplify]: Simplify (* 1 1) into 1 15.289 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.289 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.289 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.289 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.289 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.289 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.291 * [backup-simplify]: Simplify (+ 0) into 0 15.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.291 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.292 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.293 * [backup-simplify]: Simplify (- 0) into 0 15.293 * [backup-simplify]: Simplify (+ 0 0) into 0 15.293 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.293 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.293 * [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))))) into 0 15.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.294 * [backup-simplify]: Simplify (+ 0 0) into 0 15.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.294 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.294 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.294 * [taylor]: Taking taylor expansion of 1 in U 15.294 * [backup-simplify]: Simplify 1 into 1 15.294 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.294 * [taylor]: Taking taylor expansion of 1/4 in U 15.294 * [backup-simplify]: Simplify 1/4 into 1/4 15.294 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.294 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.294 * [taylor]: Taking taylor expansion of J in U 15.294 * [backup-simplify]: Simplify J into J 15.294 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.294 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.295 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.295 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.295 * [taylor]: Taking taylor expansion of -1/2 in U 15.295 * [backup-simplify]: Simplify -1/2 into -1/2 15.295 * [taylor]: Taking taylor expansion of K in U 15.295 * [backup-simplify]: Simplify K into K 15.295 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.295 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.295 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.295 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.295 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.295 * [backup-simplify]: Simplify (- 0) into 0 15.295 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.295 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.295 * [taylor]: Taking taylor expansion of U in U 15.295 * [backup-simplify]: Simplify 0 into 0 15.295 * [backup-simplify]: Simplify 1 into 1 15.295 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.295 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.296 * [backup-simplify]: Simplify (* 1 1) into 1 15.296 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.296 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.296 * [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))) 15.296 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.296 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.296 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.297 * [backup-simplify]: Simplify (+ 0) into 0 15.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.297 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.298 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.298 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.298 * [backup-simplify]: Simplify (- 0) into 0 15.298 * [backup-simplify]: Simplify (+ 0 0) into 0 15.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.299 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.299 * [backup-simplify]: 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 15.300 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.300 * [backup-simplify]: Simplify (+ 0 0) into 0 15.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 15.300 * [taylor]: Taking taylor expansion of 1/2 in J 15.300 * [backup-simplify]: Simplify 1/2 into 1/2 15.300 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 15.300 * [taylor]: Taking taylor expansion of J in J 15.300 * [backup-simplify]: Simplify 0 into 0 15.300 * [backup-simplify]: Simplify 1 into 1 15.300 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.300 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.300 * [taylor]: Taking taylor expansion of -1/2 in J 15.300 * [backup-simplify]: Simplify -1/2 into -1/2 15.300 * [taylor]: Taking taylor expansion of K in J 15.300 * [backup-simplify]: Simplify K into K 15.300 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.300 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.300 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.300 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.300 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.301 * [backup-simplify]: Simplify (- 0) into 0 15.301 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.301 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.301 * [taylor]: Taking taylor expansion of 0 in J 15.301 * [backup-simplify]: Simplify 0 into 0 15.301 * [taylor]: Taking taylor expansion of 0 in K 15.301 * [backup-simplify]: Simplify 0 into 0 15.301 * [backup-simplify]: Simplify 0 into 0 15.301 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 15.301 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 15.301 * [taylor]: Taking taylor expansion of 1/2 in K 15.301 * [backup-simplify]: Simplify 1/2 into 1/2 15.301 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.301 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.301 * [taylor]: Taking taylor expansion of -1/2 in K 15.301 * [backup-simplify]: Simplify -1/2 into -1/2 15.301 * [taylor]: Taking taylor expansion of K in K 15.301 * [backup-simplify]: Simplify 0 into 0 15.301 * [backup-simplify]: Simplify 1 into 1 15.301 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.301 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.302 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.302 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.302 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.303 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.304 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.304 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.305 * [backup-simplify]: Simplify (- 0) into 0 15.305 * [backup-simplify]: Simplify (+ 0 0) into 0 15.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.306 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.306 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.307 * [backup-simplify]: Simplify (+ 1 0) into 1 15.307 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.307 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.307 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.307 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.307 * [taylor]: Taking taylor expansion of -1/2 in J 15.307 * [backup-simplify]: Simplify -1/2 into -1/2 15.307 * [taylor]: Taking taylor expansion of K in J 15.307 * [backup-simplify]: Simplify K into K 15.307 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.307 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.308 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.308 * [taylor]: Taking taylor expansion of J in J 15.308 * [backup-simplify]: Simplify 0 into 0 15.308 * [backup-simplify]: Simplify 1 into 1 15.308 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.308 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.308 * [backup-simplify]: Simplify (- 0) into 0 15.308 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.308 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.308 * [backup-simplify]: Simplify (+ 0) into 0 15.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.309 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.309 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.310 * [backup-simplify]: Simplify (- 0) into 0 15.310 * [backup-simplify]: Simplify (+ 0 0) into 0 15.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.310 * [taylor]: Taking taylor expansion of 0 in K 15.311 * [backup-simplify]: Simplify 0 into 0 15.311 * [backup-simplify]: Simplify 0 into 0 15.311 * [taylor]: Taking taylor expansion of 0 in K 15.311 * [backup-simplify]: Simplify 0 into 0 15.311 * [backup-simplify]: Simplify 0 into 0 15.311 * [backup-simplify]: Simplify (+ 0) into 0 15.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.312 * [backup-simplify]: Simplify (- 0) into 0 15.312 * [backup-simplify]: Simplify (+ 0 0) into 0 15.313 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 15.313 * [taylor]: Taking taylor expansion of 0 in K 15.313 * [backup-simplify]: Simplify 0 into 0 15.313 * [backup-simplify]: Simplify 0 into 0 15.313 * [backup-simplify]: Simplify 0 into 0 15.313 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.313 * [backup-simplify]: Simplify 0 into 0 15.314 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.315 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.315 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.316 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.316 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.317 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.317 * [backup-simplify]: Simplify (- 0) into 0 15.317 * [backup-simplify]: Simplify (+ 0 0) into 0 15.318 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 15.318 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.319 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.320 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.320 * [backup-simplify]: Simplify (+ 0 0) into 0 15.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.320 * [taylor]: Taking taylor expansion of 0 in J 15.320 * [backup-simplify]: Simplify 0 into 0 15.320 * [taylor]: Taking taylor expansion of 0 in K 15.320 * [backup-simplify]: Simplify 0 into 0 15.320 * [backup-simplify]: Simplify 0 into 0 15.320 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.320 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 15.321 * [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)) 15.321 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 15.321 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.321 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.321 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.321 * [taylor]: Taking taylor expansion of 1/4 in K 15.321 * [backup-simplify]: Simplify 1/4 into 1/4 15.321 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.321 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.321 * [taylor]: Taking taylor expansion of U in K 15.321 * [backup-simplify]: Simplify U into U 15.321 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.321 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.321 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.321 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.321 * [taylor]: Taking taylor expansion of 1/2 in K 15.321 * [backup-simplify]: Simplify 1/2 into 1/2 15.321 * [taylor]: Taking taylor expansion of K in K 15.321 * [backup-simplify]: Simplify 0 into 0 15.321 * [backup-simplify]: Simplify 1 into 1 15.322 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.323 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.323 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.323 * [taylor]: Taking taylor expansion of J in K 15.323 * [backup-simplify]: Simplify J into J 15.323 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.323 * [backup-simplify]: Simplify (* 1 1) into 1 15.323 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.323 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.324 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.324 * [taylor]: Taking taylor expansion of 1 in K 15.324 * [backup-simplify]: Simplify 1 into 1 15.324 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.324 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.324 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.324 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.324 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.325 * [backup-simplify]: Simplify (+ 0) into 0 15.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.327 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.327 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.328 * [backup-simplify]: Simplify (+ 0 0) into 0 15.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.328 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.328 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.328 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.328 * [taylor]: Taking taylor expansion of 1/4 in J 15.328 * [backup-simplify]: Simplify 1/4 into 1/4 15.328 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.328 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.328 * [taylor]: Taking taylor expansion of U in J 15.328 * [backup-simplify]: Simplify U into U 15.328 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.328 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.328 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.328 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.328 * [taylor]: Taking taylor expansion of 1/2 in J 15.328 * [backup-simplify]: Simplify 1/2 into 1/2 15.329 * [taylor]: Taking taylor expansion of K in J 15.329 * [backup-simplify]: Simplify K into K 15.329 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.329 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.329 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.329 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.329 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.329 * [backup-simplify]: Simplify (- 0) into 0 15.329 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.329 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.329 * [taylor]: Taking taylor expansion of J in J 15.330 * [backup-simplify]: Simplify 0 into 0 15.330 * [backup-simplify]: Simplify 1 into 1 15.330 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.330 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.330 * [backup-simplify]: Simplify (* 1 1) into 1 15.330 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.330 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.331 * [taylor]: Taking taylor expansion of 1 in J 15.331 * [backup-simplify]: Simplify 1 into 1 15.331 * [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))) 15.331 * [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))) 15.331 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.331 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.332 * [backup-simplify]: Simplify (+ 0) into 0 15.333 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.334 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.335 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.335 * [backup-simplify]: Simplify (- 0) into 0 15.336 * [backup-simplify]: Simplify (+ 0 0) into 0 15.336 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.336 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.337 * [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 15.337 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.338 * [backup-simplify]: Simplify (+ 0 0) into 0 15.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.338 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.338 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.338 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.338 * [taylor]: Taking taylor expansion of 1/4 in U 15.338 * [backup-simplify]: Simplify 1/4 into 1/4 15.338 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.338 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.338 * [taylor]: Taking taylor expansion of U in U 15.338 * [backup-simplify]: Simplify 0 into 0 15.338 * [backup-simplify]: Simplify 1 into 1 15.338 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.338 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.339 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.339 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.339 * [taylor]: Taking taylor expansion of 1/2 in U 15.339 * [backup-simplify]: Simplify 1/2 into 1/2 15.339 * [taylor]: Taking taylor expansion of K in U 15.339 * [backup-simplify]: Simplify K into K 15.339 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.339 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.339 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.339 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.339 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.339 * [backup-simplify]: Simplify (- 0) into 0 15.340 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.340 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.340 * [taylor]: Taking taylor expansion of J in U 15.340 * [backup-simplify]: Simplify J into J 15.340 * [backup-simplify]: Simplify (* 1 1) into 1 15.340 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.340 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.340 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.341 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.341 * [taylor]: Taking taylor expansion of 1 in U 15.341 * [backup-simplify]: Simplify 1 into 1 15.341 * [backup-simplify]: Simplify (+ 0 1) into 1 15.342 * [backup-simplify]: Simplify (sqrt 1) into 1 15.342 * [backup-simplify]: Simplify (+ 0 0) into 0 15.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.343 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.343 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.343 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.343 * [taylor]: Taking taylor expansion of 1/4 in U 15.343 * [backup-simplify]: Simplify 1/4 into 1/4 15.343 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.343 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.343 * [taylor]: Taking taylor expansion of U in U 15.343 * [backup-simplify]: Simplify 0 into 0 15.343 * [backup-simplify]: Simplify 1 into 1 15.343 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.343 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.343 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.343 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.343 * [taylor]: Taking taylor expansion of 1/2 in U 15.343 * [backup-simplify]: Simplify 1/2 into 1/2 15.343 * [taylor]: Taking taylor expansion of K in U 15.343 * [backup-simplify]: Simplify K into K 15.343 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.343 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.343 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.343 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.343 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.344 * [backup-simplify]: Simplify (- 0) into 0 15.344 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.344 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.344 * [taylor]: Taking taylor expansion of J in U 15.344 * [backup-simplify]: Simplify J into J 15.345 * [backup-simplify]: Simplify (* 1 1) into 1 15.345 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.345 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.345 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.345 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.345 * [taylor]: Taking taylor expansion of 1 in U 15.345 * [backup-simplify]: Simplify 1 into 1 15.346 * [backup-simplify]: Simplify (+ 0 1) into 1 15.346 * [backup-simplify]: Simplify (sqrt 1) into 1 15.347 * [backup-simplify]: Simplify (+ 0 0) into 0 15.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.347 * [taylor]: Taking taylor expansion of 1 in J 15.347 * [backup-simplify]: Simplify 1 into 1 15.347 * [taylor]: Taking taylor expansion of 0 in J 15.347 * [backup-simplify]: Simplify 0 into 0 15.348 * [taylor]: Taking taylor expansion of 1 in K 15.348 * [backup-simplify]: Simplify 1 into 1 15.348 * [backup-simplify]: Simplify 1 into 1 15.348 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.348 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 15.349 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.349 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.350 * [taylor]: Taking taylor expansion of 1/8 in J 15.350 * [backup-simplify]: Simplify 1/8 into 1/8 15.350 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.350 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.350 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.350 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.350 * [taylor]: Taking taylor expansion of 1/2 in J 15.350 * [backup-simplify]: Simplify 1/2 into 1/2 15.350 * [taylor]: Taking taylor expansion of K in J 15.350 * [backup-simplify]: Simplify K into K 15.350 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.350 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.350 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.350 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.350 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.350 * [backup-simplify]: Simplify (- 0) into 0 15.351 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.351 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.351 * [taylor]: Taking taylor expansion of J in J 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [backup-simplify]: Simplify 1 into 1 15.351 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.351 * [backup-simplify]: Simplify (* 1 1) into 1 15.351 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.351 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 15.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.353 * [backup-simplify]: Simplify (+ 0) into 0 15.353 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.355 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.355 * [backup-simplify]: Simplify (- 0) into 0 15.356 * [backup-simplify]: Simplify (+ 0 0) into 0 15.356 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.356 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.357 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.357 * [taylor]: Taking taylor expansion of 0 in K 15.357 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify 0 into 0 15.357 * [taylor]: Taking taylor expansion of 0 in K 15.357 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify 0 into 0 15.357 * [taylor]: Taking taylor expansion of 0 in K 15.357 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify 0 into 0 15.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.358 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.358 * [backup-simplify]: Simplify (+ 0) into 0 15.359 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.360 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.361 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.361 * [backup-simplify]: Simplify (- 0) into 0 15.361 * [backup-simplify]: Simplify (+ 0 0) into 0 15.362 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.362 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.363 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 15.363 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.364 * [backup-simplify]: Simplify (+ 0 0) into 0 15.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.364 * [taylor]: Taking taylor expansion of 0 in J 15.364 * [backup-simplify]: Simplify 0 into 0 15.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.367 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.369 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.369 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.370 * [backup-simplify]: Simplify (- 0) into 0 15.370 * [backup-simplify]: Simplify (+ 0 0) into 0 15.370 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 15.371 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.371 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.372 * [taylor]: Taking taylor expansion of 0 in K 15.372 * [backup-simplify]: Simplify 0 into 0 15.372 * [backup-simplify]: Simplify 0 into 0 15.372 * [taylor]: Taking taylor expansion of 0 in K 15.372 * [backup-simplify]: Simplify 0 into 0 15.372 * [backup-simplify]: Simplify 0 into 0 15.372 * [backup-simplify]: Simplify 1 into 1 15.372 * [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)) 15.372 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 15.372 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.372 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.372 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.372 * [taylor]: Taking taylor expansion of 1/4 in K 15.372 * [backup-simplify]: Simplify 1/4 into 1/4 15.372 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.372 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.372 * [taylor]: Taking taylor expansion of J in K 15.372 * [backup-simplify]: Simplify J into J 15.372 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.372 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.373 * [taylor]: Taking taylor expansion of U in K 15.373 * [backup-simplify]: Simplify U into U 15.373 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.373 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.373 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.373 * [taylor]: Taking taylor expansion of 1/2 in K 15.373 * [backup-simplify]: Simplify 1/2 into 1/2 15.373 * [taylor]: Taking taylor expansion of K in K 15.373 * [backup-simplify]: Simplify 0 into 0 15.373 * [backup-simplify]: Simplify 1 into 1 15.373 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.373 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.373 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.373 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.373 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.374 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.374 * [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))) 15.374 * [taylor]: Taking taylor expansion of 1 in K 15.374 * [backup-simplify]: Simplify 1 into 1 15.374 * [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)))) 15.374 * [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) 15.375 * [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)) 15.375 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.375 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.375 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.375 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.376 * [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 15.377 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.377 * [backup-simplify]: Simplify (+ 0 0) into 0 15.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.378 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.378 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.378 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.378 * [taylor]: Taking taylor expansion of 1/4 in J 15.378 * [backup-simplify]: Simplify 1/4 into 1/4 15.378 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.378 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.378 * [taylor]: Taking taylor expansion of J in J 15.378 * [backup-simplify]: Simplify 0 into 0 15.378 * [backup-simplify]: Simplify 1 into 1 15.378 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.378 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.378 * [taylor]: Taking taylor expansion of U in J 15.378 * [backup-simplify]: Simplify U into U 15.378 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.378 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.378 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.379 * [taylor]: Taking taylor expansion of 1/2 in J 15.379 * [backup-simplify]: Simplify 1/2 into 1/2 15.379 * [taylor]: Taking taylor expansion of K in J 15.379 * [backup-simplify]: Simplify K into K 15.379 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.379 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.379 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.379 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.379 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.380 * [backup-simplify]: Simplify (- 0) into 0 15.380 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.380 * [backup-simplify]: Simplify (* 1 1) into 1 15.380 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.380 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.380 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.381 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.381 * [taylor]: Taking taylor expansion of 1 in J 15.381 * [backup-simplify]: Simplify 1 into 1 15.381 * [backup-simplify]: Simplify (+ 0 1) into 1 15.382 * [backup-simplify]: Simplify (sqrt 1) into 1 15.382 * [backup-simplify]: Simplify (+ 0 0) into 0 15.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.383 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.383 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.383 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.383 * [taylor]: Taking taylor expansion of 1/4 in U 15.383 * [backup-simplify]: Simplify 1/4 into 1/4 15.383 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.383 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.383 * [taylor]: Taking taylor expansion of J in U 15.383 * [backup-simplify]: Simplify J into J 15.383 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.383 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.383 * [taylor]: Taking taylor expansion of U in U 15.383 * [backup-simplify]: Simplify 0 into 0 15.383 * [backup-simplify]: Simplify 1 into 1 15.383 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.383 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.383 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.383 * [taylor]: Taking taylor expansion of 1/2 in U 15.383 * [backup-simplify]: Simplify 1/2 into 1/2 15.383 * [taylor]: Taking taylor expansion of K in U 15.383 * [backup-simplify]: Simplify K into K 15.383 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.384 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.384 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.384 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.384 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.384 * [backup-simplify]: Simplify (- 0) into 0 15.384 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.384 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.385 * [backup-simplify]: Simplify (* 1 1) into 1 15.385 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.385 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.385 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.385 * [taylor]: Taking taylor expansion of 1 in U 15.385 * [backup-simplify]: Simplify 1 into 1 15.385 * [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))) 15.386 * [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))) 15.386 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.386 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.387 * [backup-simplify]: Simplify (+ 0) into 0 15.387 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.387 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.389 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.389 * [backup-simplify]: Simplify (- 0) into 0 15.389 * [backup-simplify]: Simplify (+ 0 0) into 0 15.389 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.391 * [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))))) into 0 15.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.392 * [backup-simplify]: Simplify (+ 0 0) into 0 15.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.393 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.393 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.393 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.393 * [taylor]: Taking taylor expansion of 1/4 in U 15.393 * [backup-simplify]: Simplify 1/4 into 1/4 15.393 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.393 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.393 * [taylor]: Taking taylor expansion of J in U 15.393 * [backup-simplify]: Simplify J into J 15.393 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.393 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.393 * [taylor]: Taking taylor expansion of U in U 15.393 * [backup-simplify]: Simplify 0 into 0 15.393 * [backup-simplify]: Simplify 1 into 1 15.393 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.393 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.393 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.393 * [taylor]: Taking taylor expansion of 1/2 in U 15.393 * [backup-simplify]: Simplify 1/2 into 1/2 15.393 * [taylor]: Taking taylor expansion of K in U 15.393 * [backup-simplify]: Simplify K into K 15.393 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.393 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.393 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.393 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.394 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.394 * [backup-simplify]: Simplify (- 0) into 0 15.394 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.394 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.395 * [backup-simplify]: Simplify (* 1 1) into 1 15.395 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.395 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.395 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.395 * [taylor]: Taking taylor expansion of 1 in U 15.395 * [backup-simplify]: Simplify 1 into 1 15.395 * [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))) 15.396 * [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))) 15.396 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.396 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.396 * [backup-simplify]: Simplify (+ 0) into 0 15.397 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.397 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.398 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.398 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.399 * [backup-simplify]: Simplify (- 0) into 0 15.399 * [backup-simplify]: Simplify (+ 0 0) into 0 15.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.401 * [backup-simplify]: 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 15.401 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.402 * [backup-simplify]: Simplify (+ 0 0) into 0 15.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 15.402 * [taylor]: Taking taylor expansion of 1/2 in J 15.402 * [backup-simplify]: Simplify 1/2 into 1/2 15.402 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 15.402 * [taylor]: Taking taylor expansion of J in J 15.402 * [backup-simplify]: Simplify 0 into 0 15.402 * [backup-simplify]: Simplify 1 into 1 15.402 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.403 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.403 * [taylor]: Taking taylor expansion of 1/2 in J 15.403 * [backup-simplify]: Simplify 1/2 into 1/2 15.403 * [taylor]: Taking taylor expansion of K in J 15.403 * [backup-simplify]: Simplify K into K 15.403 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.403 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.403 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.403 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.403 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.403 * [backup-simplify]: Simplify (- 0) into 0 15.404 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.404 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.404 * [taylor]: Taking taylor expansion of 0 in J 15.404 * [backup-simplify]: Simplify 0 into 0 15.404 * [taylor]: Taking taylor expansion of 0 in K 15.404 * [backup-simplify]: Simplify 0 into 0 15.404 * [backup-simplify]: Simplify 0 into 0 15.404 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 15.404 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 15.404 * [taylor]: Taking taylor expansion of 1/2 in K 15.404 * [backup-simplify]: Simplify 1/2 into 1/2 15.404 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.404 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.404 * [taylor]: Taking taylor expansion of 1/2 in K 15.404 * [backup-simplify]: Simplify 1/2 into 1/2 15.404 * [taylor]: Taking taylor expansion of K in K 15.404 * [backup-simplify]: Simplify 0 into 0 15.404 * [backup-simplify]: Simplify 1 into 1 15.405 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.405 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.405 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.405 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.406 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.409 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.409 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.410 * [backup-simplify]: Simplify (- 0) into 0 15.410 * [backup-simplify]: Simplify (+ 0 0) into 0 15.411 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.413 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.414 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.415 * [backup-simplify]: Simplify (+ 0 1) into 1 15.415 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.415 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.416 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.416 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.416 * [taylor]: Taking taylor expansion of 1/2 in J 15.416 * [backup-simplify]: Simplify 1/2 into 1/2 15.416 * [taylor]: Taking taylor expansion of K in J 15.416 * [backup-simplify]: Simplify K into K 15.416 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.416 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.416 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.416 * [taylor]: Taking taylor expansion of J in J 15.416 * [backup-simplify]: Simplify 0 into 0 15.416 * [backup-simplify]: Simplify 1 into 1 15.416 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.416 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.416 * [backup-simplify]: Simplify (- 0) into 0 15.416 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.417 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.417 * [backup-simplify]: Simplify (+ 0) into 0 15.417 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.417 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.418 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.418 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.418 * [backup-simplify]: Simplify (- 0) into 0 15.418 * [backup-simplify]: Simplify (+ 0 0) into 0 15.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.422 * [taylor]: Taking taylor expansion of 0 in K 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [taylor]: Taking taylor expansion of 0 in K 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify 0 into 0 15.423 * [backup-simplify]: Simplify (+ 0) into 0 15.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.423 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.424 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.424 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.424 * [backup-simplify]: Simplify (- 0) into 0 15.424 * [backup-simplify]: Simplify (+ 0 0) into 0 15.425 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.425 * [taylor]: Taking taylor expansion of 0 in K 15.425 * [backup-simplify]: Simplify 0 into 0 15.425 * [backup-simplify]: Simplify 0 into 0 15.425 * [backup-simplify]: Simplify 0 into 0 15.425 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.425 * [backup-simplify]: Simplify 0 into 0 15.426 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.426 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.427 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.427 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.428 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.428 * [backup-simplify]: Simplify (- 0) into 0 15.429 * [backup-simplify]: Simplify (+ 0 0) into 0 15.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.431 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.432 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.432 * [backup-simplify]: Simplify (+ 0 0) into 0 15.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.432 * [taylor]: Taking taylor expansion of 0 in J 15.432 * [backup-simplify]: Simplify 0 into 0 15.432 * [taylor]: Taking taylor expansion of 0 in K 15.432 * [backup-simplify]: Simplify 0 into 0 15.433 * [backup-simplify]: Simplify 0 into 0 15.433 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.433 * [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)))))) 15.433 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 15.433 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.433 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.433 * [taylor]: Taking taylor expansion of 1 in K 15.433 * [backup-simplify]: Simplify 1 into 1 15.433 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.433 * [taylor]: Taking taylor expansion of 1/4 in K 15.433 * [backup-simplify]: Simplify 1/4 into 1/4 15.433 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.433 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.433 * [taylor]: Taking taylor expansion of J in K 15.433 * [backup-simplify]: Simplify J into J 15.433 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.433 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.433 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.433 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.433 * [taylor]: Taking taylor expansion of -1/2 in K 15.433 * [backup-simplify]: Simplify -1/2 into -1/2 15.433 * [taylor]: Taking taylor expansion of K in K 15.433 * [backup-simplify]: Simplify 0 into 0 15.433 * [backup-simplify]: Simplify 1 into 1 15.434 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.434 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.434 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.434 * [taylor]: Taking taylor expansion of U in K 15.434 * [backup-simplify]: Simplify U into U 15.434 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.434 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.434 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.434 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.434 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.434 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.434 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 15.435 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.435 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.435 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.435 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.435 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.435 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 15.436 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.436 * [backup-simplify]: Simplify (+ 0 0) into 0 15.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.436 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.436 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.436 * [taylor]: Taking taylor expansion of 1 in J 15.436 * [backup-simplify]: Simplify 1 into 1 15.436 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.436 * [taylor]: Taking taylor expansion of 1/4 in J 15.436 * [backup-simplify]: Simplify 1/4 into 1/4 15.436 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.436 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.436 * [taylor]: Taking taylor expansion of J in J 15.436 * [backup-simplify]: Simplify 0 into 0 15.436 * [backup-simplify]: Simplify 1 into 1 15.436 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.436 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.437 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.437 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.437 * [taylor]: Taking taylor expansion of -1/2 in J 15.437 * [backup-simplify]: Simplify -1/2 into -1/2 15.437 * [taylor]: Taking taylor expansion of K in J 15.437 * [backup-simplify]: Simplify K into K 15.437 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.437 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.437 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.437 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.437 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.437 * [backup-simplify]: Simplify (- 0) into 0 15.437 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.437 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.437 * [taylor]: Taking taylor expansion of U in J 15.437 * [backup-simplify]: Simplify U into U 15.437 * [backup-simplify]: Simplify (* 1 1) into 1 15.437 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.438 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.438 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.438 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.438 * [backup-simplify]: Simplify (+ 1 0) into 1 15.438 * [backup-simplify]: Simplify (sqrt 1) into 1 15.438 * [backup-simplify]: Simplify (+ 0 0) into 0 15.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.439 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.439 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.439 * [taylor]: Taking taylor expansion of 1 in U 15.439 * [backup-simplify]: Simplify 1 into 1 15.439 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.439 * [taylor]: Taking taylor expansion of 1/4 in U 15.439 * [backup-simplify]: Simplify 1/4 into 1/4 15.439 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.439 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.439 * [taylor]: Taking taylor expansion of J in U 15.439 * [backup-simplify]: Simplify J into J 15.439 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.439 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.439 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.439 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.439 * [taylor]: Taking taylor expansion of -1/2 in U 15.439 * [backup-simplify]: Simplify -1/2 into -1/2 15.439 * [taylor]: Taking taylor expansion of K in U 15.439 * [backup-simplify]: Simplify K into K 15.439 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.439 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.439 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.439 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.439 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.440 * [backup-simplify]: Simplify (- 0) into 0 15.440 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.440 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.440 * [taylor]: Taking taylor expansion of U in U 15.440 * [backup-simplify]: Simplify 0 into 0 15.440 * [backup-simplify]: Simplify 1 into 1 15.440 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.440 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.440 * [backup-simplify]: Simplify (* 1 1) into 1 15.440 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.440 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.441 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.441 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.441 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.441 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.441 * [backup-simplify]: Simplify (+ 0) into 0 15.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.442 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.443 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.443 * [backup-simplify]: Simplify (- 0) into 0 15.443 * [backup-simplify]: Simplify (+ 0 0) into 0 15.443 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.444 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.444 * [backup-simplify]: 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 15.444 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.444 * [backup-simplify]: Simplify (+ 0 0) into 0 15.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.445 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.445 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.445 * [taylor]: Taking taylor expansion of 1 in U 15.445 * [backup-simplify]: Simplify 1 into 1 15.445 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.445 * [taylor]: Taking taylor expansion of 1/4 in U 15.445 * [backup-simplify]: Simplify 1/4 into 1/4 15.445 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.445 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.445 * [taylor]: Taking taylor expansion of J in U 15.445 * [backup-simplify]: Simplify J into J 15.445 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.445 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.445 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.445 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.445 * [taylor]: Taking taylor expansion of -1/2 in U 15.445 * [backup-simplify]: Simplify -1/2 into -1/2 15.445 * [taylor]: Taking taylor expansion of K in U 15.445 * [backup-simplify]: Simplify K into K 15.445 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.445 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.445 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.445 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.445 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.445 * [backup-simplify]: Simplify (- 0) into 0 15.445 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.445 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.445 * [taylor]: Taking taylor expansion of U in U 15.445 * [backup-simplify]: Simplify 0 into 0 15.445 * [backup-simplify]: Simplify 1 into 1 15.446 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.446 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.446 * [backup-simplify]: Simplify (* 1 1) into 1 15.446 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.446 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.446 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.446 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.446 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.446 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.447 * [backup-simplify]: Simplify (+ 0) into 0 15.447 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.448 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.448 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.448 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.449 * [backup-simplify]: Simplify (- 0) into 0 15.449 * [backup-simplify]: Simplify (+ 0 0) into 0 15.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.450 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.450 * [backup-simplify]: 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 15.451 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.451 * [backup-simplify]: Simplify (+ 0 0) into 0 15.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 15.452 * [taylor]: Taking taylor expansion of 1/2 in J 15.452 * [backup-simplify]: Simplify 1/2 into 1/2 15.452 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 15.452 * [taylor]: Taking taylor expansion of J in J 15.452 * [backup-simplify]: Simplify 0 into 0 15.452 * [backup-simplify]: Simplify 1 into 1 15.452 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.452 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.452 * [taylor]: Taking taylor expansion of -1/2 in J 15.452 * [backup-simplify]: Simplify -1/2 into -1/2 15.452 * [taylor]: Taking taylor expansion of K in J 15.452 * [backup-simplify]: Simplify K into K 15.452 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.452 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.452 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.452 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.453 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.453 * [backup-simplify]: Simplify (- 0) into 0 15.453 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.453 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.453 * [taylor]: Taking taylor expansion of 0 in J 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [taylor]: Taking taylor expansion of 0 in K 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 15.454 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 15.454 * [taylor]: Taking taylor expansion of 1/2 in K 15.454 * [backup-simplify]: Simplify 1/2 into 1/2 15.454 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.454 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.454 * [taylor]: Taking taylor expansion of -1/2 in K 15.454 * [backup-simplify]: Simplify -1/2 into -1/2 15.454 * [taylor]: Taking taylor expansion of K in K 15.454 * [backup-simplify]: Simplify 0 into 0 15.454 * [backup-simplify]: Simplify 1 into 1 15.454 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.454 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.454 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.455 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.455 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.458 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.459 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.460 * [backup-simplify]: Simplify (- 0) into 0 15.460 * [backup-simplify]: Simplify (+ 0 0) into 0 15.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.461 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.462 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.463 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.464 * [backup-simplify]: Simplify (+ 1 0) into 1 15.465 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.465 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.465 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.465 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.465 * [taylor]: Taking taylor expansion of -1/2 in J 15.465 * [backup-simplify]: Simplify -1/2 into -1/2 15.465 * [taylor]: Taking taylor expansion of K in J 15.465 * [backup-simplify]: Simplify K into K 15.465 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.465 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.465 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.465 * [taylor]: Taking taylor expansion of J in J 15.465 * [backup-simplify]: Simplify 0 into 0 15.465 * [backup-simplify]: Simplify 1 into 1 15.466 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.466 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.466 * [backup-simplify]: Simplify (- 0) into 0 15.466 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.466 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.467 * [backup-simplify]: Simplify (+ 0) into 0 15.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.467 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.468 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.469 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.469 * [backup-simplify]: Simplify (- 0) into 0 15.469 * [backup-simplify]: Simplify (+ 0 0) into 0 15.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.470 * [taylor]: Taking taylor expansion of 0 in K 15.470 * [backup-simplify]: Simplify 0 into 0 15.470 * [backup-simplify]: Simplify 0 into 0 15.470 * [taylor]: Taking taylor expansion of 0 in K 15.471 * [backup-simplify]: Simplify 0 into 0 15.471 * [backup-simplify]: Simplify 0 into 0 15.471 * [backup-simplify]: Simplify (+ 0) into 0 15.471 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.472 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.473 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.473 * [backup-simplify]: Simplify (- 0) into 0 15.474 * [backup-simplify]: Simplify (+ 0 0) into 0 15.474 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 15.475 * [taylor]: Taking taylor expansion of 0 in K 15.475 * [backup-simplify]: Simplify 0 into 0 15.475 * [backup-simplify]: Simplify 0 into 0 15.475 * [backup-simplify]: Simplify 0 into 0 15.475 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.475 * [backup-simplify]: Simplify 0 into 0 15.476 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.478 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.478 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.479 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.481 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.481 * [backup-simplify]: Simplify (- 0) into 0 15.482 * [backup-simplify]: Simplify (+ 0 0) into 0 15.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 15.484 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.484 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.486 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.486 * [backup-simplify]: Simplify (+ 0 0) into 0 15.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.486 * [taylor]: Taking taylor expansion of 0 in J 15.486 * [backup-simplify]: Simplify 0 into 0 15.486 * [taylor]: Taking taylor expansion of 0 in K 15.486 * [backup-simplify]: Simplify 0 into 0 15.487 * [backup-simplify]: Simplify 0 into 0 15.487 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.487 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 15.487 * [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) 15.487 * [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 15.487 * [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 15.487 * [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 15.487 * [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 15.488 * [taylor]: Taking taylor expansion of 1/4 in K 15.488 * [backup-simplify]: Simplify 1/4 into 1/4 15.488 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.488 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.488 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.488 * [taylor]: Taking taylor expansion of 1/4 in K 15.488 * [backup-simplify]: Simplify 1/4 into 1/4 15.488 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.488 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.488 * [taylor]: Taking taylor expansion of U in K 15.488 * [backup-simplify]: Simplify U into U 15.488 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.488 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.488 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.488 * [taylor]: Taking taylor expansion of 1/2 in K 15.488 * [backup-simplify]: Simplify 1/2 into 1/2 15.488 * [taylor]: Taking taylor expansion of K in K 15.488 * [backup-simplify]: Simplify 0 into 0 15.488 * [backup-simplify]: Simplify 1 into 1 15.489 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.489 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.489 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.489 * [taylor]: Taking taylor expansion of J in K 15.489 * [backup-simplify]: Simplify J into J 15.489 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.490 * [backup-simplify]: Simplify (* 1 1) into 1 15.490 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.490 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.490 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.490 * [taylor]: Taking taylor expansion of 1 in K 15.490 * [backup-simplify]: Simplify 1 into 1 15.490 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.491 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.491 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.491 * [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))) 15.491 * [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) 15.491 * [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 15.491 * [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 15.491 * [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 15.491 * [taylor]: Taking taylor expansion of 1/4 in J 15.492 * [backup-simplify]: Simplify 1/4 into 1/4 15.492 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.492 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.492 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.492 * [taylor]: Taking taylor expansion of 1/4 in J 15.492 * [backup-simplify]: Simplify 1/4 into 1/4 15.492 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.492 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.492 * [taylor]: Taking taylor expansion of U in J 15.492 * [backup-simplify]: Simplify U into U 15.492 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.492 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.492 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.492 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.492 * [taylor]: Taking taylor expansion of 1/2 in J 15.492 * [backup-simplify]: Simplify 1/2 into 1/2 15.492 * [taylor]: Taking taylor expansion of K in J 15.492 * [backup-simplify]: Simplify K into K 15.492 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.492 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.492 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.492 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.492 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.493 * [backup-simplify]: Simplify (- 0) into 0 15.493 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.493 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.493 * [taylor]: Taking taylor expansion of J in J 15.493 * [backup-simplify]: Simplify 0 into 0 15.493 * [backup-simplify]: Simplify 1 into 1 15.493 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.493 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.494 * [backup-simplify]: Simplify (* 1 1) into 1 15.494 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.494 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.494 * [taylor]: Taking taylor expansion of 1 in J 15.494 * [backup-simplify]: Simplify 1 into 1 15.494 * [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))) 15.494 * [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))) 15.495 * [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)))) 15.495 * [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))) 15.496 * [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)))) 15.496 * [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))))) 15.496 * [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 15.496 * [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 15.496 * [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 15.496 * [taylor]: Taking taylor expansion of 1/4 in U 15.496 * [backup-simplify]: Simplify 1/4 into 1/4 15.496 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.496 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.496 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.496 * [taylor]: Taking taylor expansion of 1/4 in U 15.496 * [backup-simplify]: Simplify 1/4 into 1/4 15.496 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.496 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.496 * [taylor]: Taking taylor expansion of U in U 15.496 * [backup-simplify]: Simplify 0 into 0 15.496 * [backup-simplify]: Simplify 1 into 1 15.497 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.497 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.497 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.497 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.497 * [taylor]: Taking taylor expansion of 1/2 in U 15.497 * [backup-simplify]: Simplify 1/2 into 1/2 15.497 * [taylor]: Taking taylor expansion of K in U 15.497 * [backup-simplify]: Simplify K into K 15.497 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.497 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.497 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.497 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.497 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.498 * [backup-simplify]: Simplify (- 0) into 0 15.498 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.498 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.498 * [taylor]: Taking taylor expansion of J in U 15.498 * [backup-simplify]: Simplify J into J 15.498 * [backup-simplify]: Simplify (* 1 1) into 1 15.498 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.498 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.499 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.499 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.499 * [taylor]: Taking taylor expansion of 1 in U 15.499 * [backup-simplify]: Simplify 1 into 1 15.499 * [backup-simplify]: Simplify (+ 0 1) into 1 15.500 * [backup-simplify]: Simplify (log 1) into 0 15.500 * [backup-simplify]: Simplify (* 1/4 0) into 0 15.501 * [backup-simplify]: Simplify (+ 0 0) into 0 15.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 15.503 * [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))) 15.503 * [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)))) 15.505 * [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))) 15.506 * [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)))) 15.506 * [backup-simplify]: Simplify (exp 0) into 1 15.506 * [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 15.506 * [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 15.506 * [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 15.506 * [taylor]: Taking taylor expansion of 1/4 in U 15.506 * [backup-simplify]: Simplify 1/4 into 1/4 15.506 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.506 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.506 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.506 * [taylor]: Taking taylor expansion of 1/4 in U 15.506 * [backup-simplify]: Simplify 1/4 into 1/4 15.506 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.506 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.506 * [taylor]: Taking taylor expansion of U in U 15.506 * [backup-simplify]: Simplify 0 into 0 15.506 * [backup-simplify]: Simplify 1 into 1 15.506 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.507 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.507 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.507 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.507 * [taylor]: Taking taylor expansion of 1/2 in U 15.507 * [backup-simplify]: Simplify 1/2 into 1/2 15.507 * [taylor]: Taking taylor expansion of K in U 15.507 * [backup-simplify]: Simplify K into K 15.507 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.507 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.507 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.507 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.507 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.507 * [backup-simplify]: Simplify (- 0) into 0 15.508 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.508 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.508 * [taylor]: Taking taylor expansion of J in U 15.508 * [backup-simplify]: Simplify J into J 15.508 * [backup-simplify]: Simplify (* 1 1) into 1 15.508 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.508 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.508 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.509 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.509 * [taylor]: Taking taylor expansion of 1 in U 15.509 * [backup-simplify]: Simplify 1 into 1 15.509 * [backup-simplify]: Simplify (+ 0 1) into 1 15.509 * [backup-simplify]: Simplify (log 1) into 0 15.510 * [backup-simplify]: Simplify (* 1/4 0) into 0 15.510 * [backup-simplify]: Simplify (+ 0 0) into 0 15.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 15.512 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.513 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 15.515 * [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))) 15.516 * [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)))) 15.516 * [backup-simplify]: Simplify (exp 0) into 1 15.516 * [taylor]: Taking taylor expansion of 1 in J 15.516 * [backup-simplify]: Simplify 1 into 1 15.516 * [taylor]: Taking taylor expansion of 1 in K 15.516 * [backup-simplify]: Simplify 1 into 1 15.516 * [backup-simplify]: Simplify 1 into 1 15.517 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 15.517 * [taylor]: Taking taylor expansion of 0 in J 15.517 * [backup-simplify]: Simplify 0 into 0 15.517 * [taylor]: Taking taylor expansion of 0 in K 15.517 * [backup-simplify]: Simplify 0 into 0 15.517 * [backup-simplify]: Simplify 0 into 0 15.517 * [taylor]: Taking taylor expansion of 0 in K 15.517 * [backup-simplify]: Simplify 0 into 0 15.517 * [backup-simplify]: Simplify 0 into 0 15.517 * [backup-simplify]: Simplify 0 into 0 15.518 * [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))) 15.518 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.518 * [taylor]: Taking taylor expansion of 1/16 in J 15.518 * [backup-simplify]: Simplify 1/16 into 1/16 15.518 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.518 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.518 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.519 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.519 * [taylor]: Taking taylor expansion of 1/2 in J 15.519 * [backup-simplify]: Simplify 1/2 into 1/2 15.519 * [taylor]: Taking taylor expansion of K in J 15.519 * [backup-simplify]: Simplify K into K 15.519 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.519 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.519 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.519 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.519 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.519 * [backup-simplify]: Simplify (- 0) into 0 15.519 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.519 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.519 * [taylor]: Taking taylor expansion of J in J 15.520 * [backup-simplify]: Simplify 0 into 0 15.520 * [backup-simplify]: Simplify 1 into 1 15.520 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.520 * [backup-simplify]: Simplify (* 1 1) into 1 15.520 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.521 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 15.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.522 * [backup-simplify]: Simplify (+ 0) into 0 15.523 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.524 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.524 * [backup-simplify]: Simplify (- 0) into 0 15.525 * [backup-simplify]: Simplify (+ 0 0) into 0 15.525 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.526 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.527 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.528 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.528 * [backup-simplify]: Simplify (- 0) into 0 15.528 * [backup-simplify]: Simplify (+ 0 0) into 0 15.528 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 15.529 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.529 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.529 * [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 15.530 * [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 15.530 * [taylor]: Taking taylor expansion of 0 in K 15.530 * [backup-simplify]: Simplify 0 into 0 15.530 * [backup-simplify]: Simplify 0 into 0 15.530 * [taylor]: Taking taylor expansion of 0 in K 15.530 * [backup-simplify]: Simplify 0 into 0 15.530 * [backup-simplify]: Simplify 0 into 0 15.530 * [taylor]: Taking taylor expansion of 0 in K 15.530 * [backup-simplify]: Simplify 0 into 0 15.530 * [backup-simplify]: Simplify 0 into 0 15.530 * [backup-simplify]: Simplify 1 into 1 15.530 * [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) 15.530 * [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 15.530 * [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 15.530 * [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 15.530 * [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 15.530 * [taylor]: Taking taylor expansion of 1/4 in K 15.530 * [backup-simplify]: Simplify 1/4 into 1/4 15.530 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.530 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.530 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.530 * [taylor]: Taking taylor expansion of 1/4 in K 15.530 * [backup-simplify]: Simplify 1/4 into 1/4 15.530 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.530 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.530 * [taylor]: Taking taylor expansion of J in K 15.530 * [backup-simplify]: Simplify J into J 15.531 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.531 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.531 * [taylor]: Taking taylor expansion of U in K 15.531 * [backup-simplify]: Simplify U into U 15.531 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.531 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.531 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.531 * [taylor]: Taking taylor expansion of 1/2 in K 15.531 * [backup-simplify]: Simplify 1/2 into 1/2 15.531 * [taylor]: Taking taylor expansion of K in K 15.531 * [backup-simplify]: Simplify 0 into 0 15.531 * [backup-simplify]: Simplify 1 into 1 15.531 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.531 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.531 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.531 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.531 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.531 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.531 * [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))) 15.531 * [taylor]: Taking taylor expansion of 1 in K 15.531 * [backup-simplify]: Simplify 1 into 1 15.532 * [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)))) 15.532 * [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) 15.532 * [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)) 15.532 * [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))) 15.532 * [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) 15.532 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 15.533 * [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 15.533 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 15.533 * [taylor]: Taking taylor expansion of 1/4 in J 15.533 * [backup-simplify]: Simplify 1/4 into 1/4 15.533 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.533 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.533 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.533 * [taylor]: Taking taylor expansion of 1/4 in J 15.533 * [backup-simplify]: Simplify 1/4 into 1/4 15.533 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.533 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.533 * [taylor]: Taking taylor expansion of J in J 15.533 * [backup-simplify]: Simplify 0 into 0 15.533 * [backup-simplify]: Simplify 1 into 1 15.533 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.533 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.533 * [taylor]: Taking taylor expansion of U in J 15.533 * [backup-simplify]: Simplify U into U 15.533 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.533 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.533 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.533 * [taylor]: Taking taylor expansion of 1/2 in J 15.533 * [backup-simplify]: Simplify 1/2 into 1/2 15.533 * [taylor]: Taking taylor expansion of K in J 15.533 * [backup-simplify]: Simplify K into K 15.533 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.533 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.533 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.533 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.533 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.533 * [backup-simplify]: Simplify (- 0) into 0 15.533 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.534 * [backup-simplify]: Simplify (* 1 1) into 1 15.534 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.534 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.534 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.534 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.534 * [taylor]: Taking taylor expansion of 1 in J 15.534 * [backup-simplify]: Simplify 1 into 1 15.534 * [backup-simplify]: Simplify (+ 0 1) into 1 15.535 * [backup-simplify]: Simplify (log 1) into 0 15.535 * [backup-simplify]: Simplify (* 1/4 0) into 0 15.535 * [backup-simplify]: Simplify (+ 0 0) into 0 15.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.536 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 15.536 * [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))) 15.537 * [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)))) 15.538 * [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))) 15.538 * [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)))) 15.538 * [backup-simplify]: Simplify (exp 0) into 1 15.538 * [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 15.538 * [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 15.538 * [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 15.538 * [taylor]: Taking taylor expansion of 1/4 in U 15.538 * [backup-simplify]: Simplify 1/4 into 1/4 15.538 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.538 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.538 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.538 * [taylor]: Taking taylor expansion of 1/4 in U 15.538 * [backup-simplify]: Simplify 1/4 into 1/4 15.538 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.538 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.538 * [taylor]: Taking taylor expansion of J in U 15.538 * [backup-simplify]: Simplify J into J 15.538 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.538 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.538 * [taylor]: Taking taylor expansion of U in U 15.539 * [backup-simplify]: Simplify 0 into 0 15.539 * [backup-simplify]: Simplify 1 into 1 15.539 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.539 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.539 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.539 * [taylor]: Taking taylor expansion of 1/2 in U 15.539 * [backup-simplify]: Simplify 1/2 into 1/2 15.539 * [taylor]: Taking taylor expansion of K in U 15.539 * [backup-simplify]: Simplify K into K 15.539 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.539 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.539 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.539 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.539 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.539 * [backup-simplify]: Simplify (- 0) into 0 15.539 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.539 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.539 * [backup-simplify]: Simplify (* 1 1) into 1 15.540 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.540 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.540 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.540 * [taylor]: Taking taylor expansion of 1 in U 15.540 * [backup-simplify]: Simplify 1 into 1 15.540 * [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))) 15.540 * [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))) 15.540 * [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)))) 15.541 * [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))) 15.541 * [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)))) 15.541 * [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))))) 15.541 * [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 15.541 * [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 15.541 * [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 15.541 * [taylor]: Taking taylor expansion of 1/4 in U 15.541 * [backup-simplify]: Simplify 1/4 into 1/4 15.541 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.541 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.541 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.541 * [taylor]: Taking taylor expansion of 1/4 in U 15.541 * [backup-simplify]: Simplify 1/4 into 1/4 15.541 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.541 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.541 * [taylor]: Taking taylor expansion of J in U 15.541 * [backup-simplify]: Simplify J into J 15.541 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.541 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.541 * [taylor]: Taking taylor expansion of U in U 15.541 * [backup-simplify]: Simplify 0 into 0 15.541 * [backup-simplify]: Simplify 1 into 1 15.541 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.541 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.541 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.541 * [taylor]: Taking taylor expansion of 1/2 in U 15.541 * [backup-simplify]: Simplify 1/2 into 1/2 15.541 * [taylor]: Taking taylor expansion of K in U 15.541 * [backup-simplify]: Simplify K into K 15.541 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.541 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.541 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.541 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.542 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.542 * [backup-simplify]: Simplify (- 0) into 0 15.542 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.542 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.542 * [backup-simplify]: Simplify (* 1 1) into 1 15.542 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.542 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.542 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.542 * [taylor]: Taking taylor expansion of 1 in U 15.542 * [backup-simplify]: Simplify 1 into 1 15.543 * [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))) 15.543 * [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))) 15.543 * [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)))) 15.543 * [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))) 15.543 * [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)))) 15.544 * [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))))) 15.544 * [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 15.544 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 15.544 * [taylor]: Taking taylor expansion of 1/4 in J 15.544 * [backup-simplify]: Simplify 1/4 into 1/4 15.544 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 15.544 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.544 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 15.544 * [taylor]: Taking taylor expansion of 1/4 in J 15.544 * [backup-simplify]: Simplify 1/4 into 1/4 15.544 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 15.544 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.544 * [taylor]: Taking taylor expansion of J in J 15.544 * [backup-simplify]: Simplify 0 into 0 15.544 * [backup-simplify]: Simplify 1 into 1 15.544 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.544 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.544 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.544 * [taylor]: Taking taylor expansion of 1/2 in J 15.544 * [backup-simplify]: Simplify 1/2 into 1/2 15.544 * [taylor]: Taking taylor expansion of K in J 15.544 * [backup-simplify]: Simplify K into K 15.544 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.544 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.544 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.544 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.544 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.544 * [backup-simplify]: Simplify (- 0) into 0 15.544 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.545 * [backup-simplify]: Simplify (* 1 1) into 1 15.545 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.545 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 15.545 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 15.545 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 15.545 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 15.545 * [taylor]: Taking taylor expansion of 2 in J 15.545 * [backup-simplify]: Simplify 2 into 2 15.545 * [taylor]: Taking taylor expansion of (log U) in J 15.545 * [taylor]: Taking taylor expansion of U in J 15.545 * [backup-simplify]: Simplify U into U 15.545 * [backup-simplify]: Simplify (log U) into (log U) 15.546 * [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)))) 15.546 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 15.546 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 15.546 * [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))) 15.546 * [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)))) 15.546 * [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))))) 15.546 * [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 15.546 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 15.546 * [taylor]: Taking taylor expansion of 1/4 in K 15.546 * [backup-simplify]: Simplify 1/4 into 1/4 15.546 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 15.546 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 15.546 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 15.546 * [taylor]: Taking taylor expansion of 2 in K 15.546 * [backup-simplify]: Simplify 2 into 2 15.546 * [taylor]: Taking taylor expansion of (log J) in K 15.546 * [taylor]: Taking taylor expansion of J in K 15.546 * [backup-simplify]: Simplify J into J 15.546 * [backup-simplify]: Simplify (log J) into (log J) 15.546 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 15.546 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 15.546 * [taylor]: Taking taylor expansion of 1/4 in K 15.546 * [backup-simplify]: Simplify 1/4 into 1/4 15.546 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.547 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.547 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.547 * [taylor]: Taking taylor expansion of 1/2 in K 15.547 * [backup-simplify]: Simplify 1/2 into 1/2 15.547 * [taylor]: Taking taylor expansion of K in K 15.547 * [backup-simplify]: Simplify 0 into 0 15.547 * [backup-simplify]: Simplify 1 into 1 15.550 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.550 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.551 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.551 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 15.551 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 15.551 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 15.551 * [taylor]: Taking taylor expansion of 2 in K 15.551 * [backup-simplify]: Simplify 2 into 2 15.551 * [taylor]: Taking taylor expansion of (log U) in K 15.551 * [taylor]: Taking taylor expansion of U in K 15.551 * [backup-simplify]: Simplify U into U 15.551 * [backup-simplify]: Simplify (log U) into (log U) 15.551 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 15.551 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 15.551 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 15.551 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 15.551 * [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))) 15.552 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 15.552 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 15.552 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 15.552 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.553 * [backup-simplify]: Simplify (+ 0) into 0 15.553 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.553 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.554 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.554 * [backup-simplify]: Simplify (- 0) into 0 15.554 * [backup-simplify]: Simplify (+ 0 0) into 0 15.555 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.556 * [backup-simplify]: 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 15.556 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.556 * [backup-simplify]: Simplify (+ 0 0) into 0 15.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 15.557 * [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))) 15.558 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 15.558 * [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 15.558 * [taylor]: Taking taylor expansion of 0 in J 15.558 * [backup-simplify]: Simplify 0 into 0 15.559 * [taylor]: Taking taylor expansion of 0 in K 15.559 * [backup-simplify]: Simplify 0 into 0 15.559 * [backup-simplify]: Simplify 0 into 0 15.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.559 * [backup-simplify]: Simplify (+ 0) into 0 15.560 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.560 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.560 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.561 * [backup-simplify]: Simplify (- 0) into 0 15.561 * [backup-simplify]: Simplify (+ 0 0) into 0 15.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.561 * [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 15.562 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 15.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 15.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 15.563 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 15.563 * [backup-simplify]: Simplify (- 0) into 0 15.563 * [backup-simplify]: Simplify (+ 0 0) into 0 15.564 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 15.565 * [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 15.565 * [taylor]: Taking taylor expansion of 0 in K 15.565 * [backup-simplify]: Simplify 0 into 0 15.565 * [backup-simplify]: Simplify 0 into 0 15.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 15.567 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 15.567 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.568 * [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 15.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 15.570 * [backup-simplify]: Simplify (+ 0 0) into 0 15.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 15.571 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 15.572 * [backup-simplify]: Simplify (- 0) into 0 15.572 * [backup-simplify]: Simplify (+ 0 0) into 0 15.573 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 15.574 * [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 15.574 * [backup-simplify]: Simplify 0 into 0 15.575 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.576 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.578 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.579 * [backup-simplify]: Simplify (- 0) into 0 15.579 * [backup-simplify]: Simplify (+ 0 0) into 0 15.580 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.582 * [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 15.583 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.584 * [backup-simplify]: Simplify (+ 0 1) into 1 15.586 * [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))) 15.587 * [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))) 15.588 * [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)) 15.589 * [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)) 15.589 * [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 15.589 * [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 15.589 * [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 15.589 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 15.589 * [taylor]: Taking taylor expansion of 1/4 in J 15.589 * [backup-simplify]: Simplify 1/4 into 1/4 15.589 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 15.590 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.590 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 15.590 * [taylor]: Taking taylor expansion of 1/4 in J 15.590 * [backup-simplify]: Simplify 1/4 into 1/4 15.590 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 15.590 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.590 * [taylor]: Taking taylor expansion of J in J 15.590 * [backup-simplify]: Simplify 0 into 0 15.590 * [backup-simplify]: Simplify 1 into 1 15.590 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.590 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.590 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.590 * [taylor]: Taking taylor expansion of 1/2 in J 15.590 * [backup-simplify]: Simplify 1/2 into 1/2 15.590 * [taylor]: Taking taylor expansion of K in J 15.590 * [backup-simplify]: Simplify K into K 15.590 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.590 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.590 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.590 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.590 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.591 * [backup-simplify]: Simplify (- 0) into 0 15.591 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.591 * [backup-simplify]: Simplify (* 1 1) into 1 15.591 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.592 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 15.592 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 15.592 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 15.592 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 15.592 * [taylor]: Taking taylor expansion of 2 in J 15.592 * [backup-simplify]: Simplify 2 into 2 15.592 * [taylor]: Taking taylor expansion of (log U) in J 15.592 * [taylor]: Taking taylor expansion of U in J 15.592 * [backup-simplify]: Simplify U into U 15.592 * [backup-simplify]: Simplify (log U) into (log U) 15.593 * [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)))) 15.593 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 15.593 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 15.593 * [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))) 15.593 * [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)))) 15.594 * [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))))) 15.594 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.594 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.594 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.594 * [taylor]: Taking taylor expansion of 1/2 in J 15.594 * [backup-simplify]: Simplify 1/2 into 1/2 15.594 * [taylor]: Taking taylor expansion of K in J 15.594 * [backup-simplify]: Simplify K into K 15.594 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.594 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.594 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.594 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.594 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.595 * [backup-simplify]: Simplify (- 0) into 0 15.595 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.595 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.595 * [taylor]: Taking taylor expansion of J in J 15.595 * [backup-simplify]: Simplify 0 into 0 15.595 * [backup-simplify]: Simplify 1 into 1 15.595 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.595 * [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)) 15.596 * [backup-simplify]: Simplify (* 1 1) into 1 15.596 * [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)) 15.596 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.597 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.598 * [backup-simplify]: Simplify (+ 0) into 0 15.598 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.598 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.599 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.600 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.601 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.601 * [backup-simplify]: Simplify (- 0) into 0 15.601 * [backup-simplify]: Simplify (+ 0 0) into 0 15.602 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.602 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.603 * [backup-simplify]: Simplify (- 0) into 0 15.603 * [backup-simplify]: Simplify (+ 0 0) into 0 15.603 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.604 * [backup-simplify]: Simplify (+ 0) into 0 15.605 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.605 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.606 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.607 * [backup-simplify]: Simplify (- 0) into 0 15.607 * [backup-simplify]: Simplify (+ 0 0) into 0 15.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.607 * [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 15.608 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 15.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 15.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 15.609 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 15.610 * [backup-simplify]: Simplify (- 0) into 0 15.610 * [backup-simplify]: Simplify (+ 0 0) into 0 15.610 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 15.611 * [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 15.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.612 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.612 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.613 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.613 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.614 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.614 * [backup-simplify]: Simplify (- 0) into 0 15.614 * [backup-simplify]: Simplify (+ 0 0) into 0 15.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.615 * [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 15.615 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 15.617 * [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 15.617 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 15.618 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 15.618 * [backup-simplify]: Simplify (- 0) into 0 15.618 * [backup-simplify]: Simplify (+ 0 0) into 0 15.619 * [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 15.620 * [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 15.620 * [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 15.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.621 * [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 15.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.622 * [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)))) into 0 15.624 * [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 15.624 * [taylor]: Taking taylor expansion of 0 in K 15.624 * [backup-simplify]: Simplify 0 into 0 15.624 * [backup-simplify]: Simplify 0 into 0 15.624 * [taylor]: Taking taylor expansion of 0 in K 15.624 * [backup-simplify]: Simplify 0 into 0 15.624 * [backup-simplify]: Simplify 0 into 0 15.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.625 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.625 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.625 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.626 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.626 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.626 * [backup-simplify]: Simplify (- 0) into 0 15.627 * [backup-simplify]: Simplify (+ 0 0) into 0 15.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.627 * [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 15.628 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 15.629 * [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 15.631 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 15.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 15.632 * [backup-simplify]: Simplify (- 0) into 0 15.633 * [backup-simplify]: Simplify (+ 0 0) into 0 15.634 * [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 15.635 * [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 15.635 * [taylor]: Taking taylor expansion of 0 in K 15.636 * [backup-simplify]: Simplify 0 into 0 15.636 * [backup-simplify]: Simplify 0 into 0 15.636 * [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)))))) 15.637 * [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) 15.637 * [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 15.637 * [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 15.637 * [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 15.637 * [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 15.637 * [taylor]: Taking taylor expansion of 1/4 in K 15.637 * [backup-simplify]: Simplify 1/4 into 1/4 15.637 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.637 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.637 * [taylor]: Taking taylor expansion of 1 in K 15.637 * [backup-simplify]: Simplify 1 into 1 15.637 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.637 * [taylor]: Taking taylor expansion of 1/4 in K 15.637 * [backup-simplify]: Simplify 1/4 into 1/4 15.637 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.637 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.637 * [taylor]: Taking taylor expansion of J in K 15.637 * [backup-simplify]: Simplify J into J 15.637 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.637 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.637 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.637 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.638 * [taylor]: Taking taylor expansion of -1/2 in K 15.638 * [backup-simplify]: Simplify -1/2 into -1/2 15.638 * [taylor]: Taking taylor expansion of K in K 15.638 * [backup-simplify]: Simplify 0 into 0 15.638 * [backup-simplify]: Simplify 1 into 1 15.638 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.638 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.638 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.638 * [taylor]: Taking taylor expansion of U in K 15.638 * [backup-simplify]: Simplify U into U 15.638 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.639 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.639 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.639 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.639 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.639 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.640 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 15.640 * [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)))))) 15.640 * [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))))))) 15.641 * [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) 15.641 * [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 15.641 * [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 15.641 * [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 15.641 * [taylor]: Taking taylor expansion of 1/4 in J 15.641 * [backup-simplify]: Simplify 1/4 into 1/4 15.641 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.641 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.641 * [taylor]: Taking taylor expansion of 1 in J 15.641 * [backup-simplify]: Simplify 1 into 1 15.641 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.641 * [taylor]: Taking taylor expansion of 1/4 in J 15.641 * [backup-simplify]: Simplify 1/4 into 1/4 15.641 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.641 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.641 * [taylor]: Taking taylor expansion of J in J 15.641 * [backup-simplify]: Simplify 0 into 0 15.642 * [backup-simplify]: Simplify 1 into 1 15.642 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.642 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.642 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.642 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.642 * [taylor]: Taking taylor expansion of -1/2 in J 15.642 * [backup-simplify]: Simplify -1/2 into -1/2 15.642 * [taylor]: Taking taylor expansion of K in J 15.642 * [backup-simplify]: Simplify K into K 15.642 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.642 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.642 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.642 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.642 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.643 * [backup-simplify]: Simplify (- 0) into 0 15.643 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.643 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.643 * [taylor]: Taking taylor expansion of U in J 15.643 * [backup-simplify]: Simplify U into U 15.643 * [backup-simplify]: Simplify (* 1 1) into 1 15.643 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.643 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.644 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.644 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.644 * [backup-simplify]: Simplify (+ 1 0) into 1 15.645 * [backup-simplify]: Simplify (log 1) into 0 15.645 * [backup-simplify]: Simplify (* 1/4 0) into 0 15.646 * [backup-simplify]: Simplify (+ 0 0) into 0 15.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.648 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 15.648 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.648 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.650 * [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))) 15.651 * [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)))) 15.651 * [backup-simplify]: Simplify (exp 0) into 1 15.651 * [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 15.651 * [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 15.651 * [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 15.651 * [taylor]: Taking taylor expansion of 1/4 in U 15.651 * [backup-simplify]: Simplify 1/4 into 1/4 15.651 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.651 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.651 * [taylor]: Taking taylor expansion of 1 in U 15.651 * [backup-simplify]: Simplify 1 into 1 15.651 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.651 * [taylor]: Taking taylor expansion of 1/4 in U 15.652 * [backup-simplify]: Simplify 1/4 into 1/4 15.652 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.652 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.652 * [taylor]: Taking taylor expansion of J in U 15.652 * [backup-simplify]: Simplify J into J 15.652 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.652 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.652 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.652 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.652 * [taylor]: Taking taylor expansion of -1/2 in U 15.652 * [backup-simplify]: Simplify -1/2 into -1/2 15.652 * [taylor]: Taking taylor expansion of K in U 15.652 * [backup-simplify]: Simplify K into K 15.652 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.652 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.652 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.652 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.652 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.653 * [backup-simplify]: Simplify (- 0) into 0 15.653 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.653 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.653 * [taylor]: Taking taylor expansion of U in U 15.653 * [backup-simplify]: Simplify 0 into 0 15.653 * [backup-simplify]: Simplify 1 into 1 15.653 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.653 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.653 * [backup-simplify]: Simplify (* 1 1) into 1 15.654 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.654 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.654 * [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))) 15.654 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.655 * [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)))) 15.655 * [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))) 15.656 * [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)))) 15.656 * [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))))) 15.656 * [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 15.656 * [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 15.656 * [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 15.656 * [taylor]: Taking taylor expansion of 1/4 in U 15.656 * [backup-simplify]: Simplify 1/4 into 1/4 15.656 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.656 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.656 * [taylor]: Taking taylor expansion of 1 in U 15.656 * [backup-simplify]: Simplify 1 into 1 15.656 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.656 * [taylor]: Taking taylor expansion of 1/4 in U 15.656 * [backup-simplify]: Simplify 1/4 into 1/4 15.656 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.656 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.656 * [taylor]: Taking taylor expansion of J in U 15.656 * [backup-simplify]: Simplify J into J 15.656 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.656 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.657 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.657 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.657 * [taylor]: Taking taylor expansion of -1/2 in U 15.657 * [backup-simplify]: Simplify -1/2 into -1/2 15.657 * [taylor]: Taking taylor expansion of K in U 15.657 * [backup-simplify]: Simplify K into K 15.657 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.657 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.657 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.657 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.657 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.657 * [backup-simplify]: Simplify (- 0) into 0 15.658 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.658 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.658 * [taylor]: Taking taylor expansion of U in U 15.658 * [backup-simplify]: Simplify 0 into 0 15.658 * [backup-simplify]: Simplify 1 into 1 15.658 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.658 * [backup-simplify]: Simplify (* 1 1) into 1 15.658 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.659 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.659 * [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))) 15.659 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.659 * [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)))) 15.660 * [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))) 15.660 * [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)))) 15.661 * [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))))) 15.661 * [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 15.661 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 15.661 * [taylor]: Taking taylor expansion of 1/4 in J 15.661 * [backup-simplify]: Simplify 1/4 into 1/4 15.661 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 15.661 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 15.661 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 15.661 * [taylor]: Taking taylor expansion of 1/4 in J 15.661 * [backup-simplify]: Simplify 1/4 into 1/4 15.661 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 15.662 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.662 * [taylor]: Taking taylor expansion of J in J 15.662 * [backup-simplify]: Simplify 0 into 0 15.662 * [backup-simplify]: Simplify 1 into 1 15.662 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.662 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.662 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.662 * [taylor]: Taking taylor expansion of -1/2 in J 15.662 * [backup-simplify]: Simplify -1/2 into -1/2 15.662 * [taylor]: Taking taylor expansion of K in J 15.662 * [backup-simplify]: Simplify K into K 15.662 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.662 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.662 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.662 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.662 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.663 * [backup-simplify]: Simplify (- 0) into 0 15.663 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.663 * [backup-simplify]: Simplify (* 1 1) into 1 15.663 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.663 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 15.663 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 15.664 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 15.664 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 15.664 * [taylor]: Taking taylor expansion of 2 in J 15.664 * [backup-simplify]: Simplify 2 into 2 15.664 * [taylor]: Taking taylor expansion of (log U) in J 15.664 * [taylor]: Taking taylor expansion of U in J 15.664 * [backup-simplify]: Simplify U into U 15.664 * [backup-simplify]: Simplify (log U) into (log U) 15.664 * [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)))) 15.664 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 15.665 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 15.665 * [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))) 15.665 * [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)))) 15.666 * [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))))) 15.666 * [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 15.666 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 15.666 * [taylor]: Taking taylor expansion of 1/4 in K 15.666 * [backup-simplify]: Simplify 1/4 into 1/4 15.666 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 15.666 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 15.666 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 15.666 * [taylor]: Taking taylor expansion of 2 in K 15.666 * [backup-simplify]: Simplify 2 into 2 15.666 * [taylor]: Taking taylor expansion of (log J) in K 15.666 * [taylor]: Taking taylor expansion of J in K 15.666 * [backup-simplify]: Simplify J into J 15.666 * [backup-simplify]: Simplify (log J) into (log J) 15.666 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 15.666 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 15.666 * [taylor]: Taking taylor expansion of 1/4 in K 15.666 * [backup-simplify]: Simplify 1/4 into 1/4 15.666 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.666 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.666 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.666 * [taylor]: Taking taylor expansion of -1/2 in K 15.666 * [backup-simplify]: Simplify -1/2 into -1/2 15.666 * [taylor]: Taking taylor expansion of K in K 15.666 * [backup-simplify]: Simplify 0 into 0 15.666 * [backup-simplify]: Simplify 1 into 1 15.667 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.667 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.667 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.667 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 15.667 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 15.667 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 15.667 * [taylor]: Taking taylor expansion of 2 in K 15.667 * [backup-simplify]: Simplify 2 into 2 15.668 * [taylor]: Taking taylor expansion of (log U) in K 15.668 * [taylor]: Taking taylor expansion of U in K 15.668 * [backup-simplify]: Simplify U into U 15.668 * [backup-simplify]: Simplify (log U) into (log U) 15.668 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 15.668 * [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)))) 15.668 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 15.668 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 15.668 * [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))) 15.669 * [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)))) 15.669 * [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))))) 15.670 * [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))))) 15.670 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.671 * [backup-simplify]: Simplify (+ 0) into 0 15.672 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.672 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.673 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.673 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.674 * [backup-simplify]: Simplify (- 0) into 0 15.674 * [backup-simplify]: Simplify (+ 0 0) into 0 15.674 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.675 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.675 * [backup-simplify]: 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 15.676 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.676 * [backup-simplify]: Simplify (+ 0 0) into 0 15.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 15.678 * [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))) 15.679 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 15.680 * [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 15.680 * [taylor]: Taking taylor expansion of 0 in J 15.680 * [backup-simplify]: Simplify 0 into 0 15.680 * [taylor]: Taking taylor expansion of 0 in K 15.680 * [backup-simplify]: Simplify 0 into 0 15.680 * [backup-simplify]: Simplify 0 into 0 15.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.681 * [backup-simplify]: Simplify (+ 0) into 0 15.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.682 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.690 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.691 * [backup-simplify]: Simplify (- 0) into 0 15.691 * [backup-simplify]: Simplify (+ 0 0) into 0 15.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.692 * [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 15.693 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 15.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 15.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 15.695 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 15.695 * [backup-simplify]: Simplify (- 0) into 0 15.696 * [backup-simplify]: Simplify (+ 0 0) into 0 15.696 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 15.697 * [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 15.698 * [taylor]: Taking taylor expansion of 0 in K 15.698 * [backup-simplify]: Simplify 0 into 0 15.698 * [backup-simplify]: Simplify 0 into 0 15.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 15.699 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 15.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.699 * [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 15.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 15.701 * [backup-simplify]: Simplify (+ 0 0) into 0 15.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 15.702 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 15.702 * [backup-simplify]: Simplify (- 0) into 0 15.703 * [backup-simplify]: Simplify (+ 0 0) into 0 15.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 15.704 * [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 15.704 * [backup-simplify]: Simplify 0 into 0 15.705 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.706 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.707 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.707 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.707 * [backup-simplify]: Simplify (- 0) into 0 15.708 * [backup-simplify]: Simplify (+ 0 0) into 0 15.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.708 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.709 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.709 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.709 * [backup-simplify]: Simplify (+ 1 0) into 1 15.711 * [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))) 15.711 * [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))) 15.712 * [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)) 15.712 * [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)) 15.712 * [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 15.712 * [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 15.712 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.712 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.712 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.712 * [taylor]: Taking taylor expansion of -1/2 in J 15.713 * [backup-simplify]: Simplify -1/2 into -1/2 15.713 * [taylor]: Taking taylor expansion of K in J 15.713 * [backup-simplify]: Simplify K into K 15.713 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.713 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.713 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.713 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.713 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.713 * [backup-simplify]: Simplify (- 0) into 0 15.713 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.713 * [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 15.713 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 15.713 * [taylor]: Taking taylor expansion of 1/4 in J 15.713 * [backup-simplify]: Simplify 1/4 into 1/4 15.713 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 15.713 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 15.713 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 15.713 * [taylor]: Taking taylor expansion of 1/4 in J 15.713 * [backup-simplify]: Simplify 1/4 into 1/4 15.713 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 15.713 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.713 * [taylor]: Taking taylor expansion of J in J 15.713 * [backup-simplify]: Simplify 0 into 0 15.713 * [backup-simplify]: Simplify 1 into 1 15.713 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.713 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.713 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.713 * [taylor]: Taking taylor expansion of -1/2 in J 15.713 * [backup-simplify]: Simplify -1/2 into -1/2 15.713 * [taylor]: Taking taylor expansion of K in J 15.713 * [backup-simplify]: Simplify K into K 15.713 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.714 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.714 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.714 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.714 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.714 * [backup-simplify]: Simplify (- 0) into 0 15.714 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.714 * [backup-simplify]: Simplify (* 1 1) into 1 15.714 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.714 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 15.714 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 15.715 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 15.715 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 15.715 * [taylor]: Taking taylor expansion of 2 in J 15.715 * [backup-simplify]: Simplify 2 into 2 15.715 * [taylor]: Taking taylor expansion of (log U) in J 15.715 * [taylor]: Taking taylor expansion of U in J 15.715 * [backup-simplify]: Simplify U into U 15.715 * [backup-simplify]: Simplify (log U) into (log U) 15.715 * [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)))) 15.715 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 15.715 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 15.715 * [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))) 15.715 * [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)))) 15.716 * [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))))) 15.716 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.716 * [taylor]: Taking taylor expansion of J in J 15.716 * [backup-simplify]: Simplify 0 into 0 15.716 * [backup-simplify]: Simplify 1 into 1 15.716 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.716 * [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)))))) 15.716 * [backup-simplify]: Simplify (* 1 1) into 1 15.717 * [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)))))) 15.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.717 * [backup-simplify]: Simplify (+ 0) into 0 15.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.718 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.718 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.719 * [backup-simplify]: Simplify (- 0) into 0 15.719 * [backup-simplify]: Simplify (+ 0 0) into 0 15.719 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.719 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.719 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 15.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 15.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 15.721 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 15.721 * [backup-simplify]: Simplify (- 0) into 0 15.721 * [backup-simplify]: Simplify (+ 0 0) into 0 15.722 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 15.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.723 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.724 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.724 * [backup-simplify]: Simplify (- 0) into 0 15.725 * [backup-simplify]: Simplify (+ 0 0) into 0 15.725 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.725 * [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 15.726 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 15.727 * [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 15.728 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 15.728 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 15.728 * [backup-simplify]: Simplify (- 0) into 0 15.729 * [backup-simplify]: Simplify (+ 0 0) into 0 15.729 * [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 15.730 * [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 15.730 * [backup-simplify]: Simplify (+ 0) into 0 15.731 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.731 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.731 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.732 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.732 * [backup-simplify]: Simplify (- 0) into 0 15.732 * [backup-simplify]: Simplify (+ 0 0) into 0 15.732 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.733 * [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 15.733 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.734 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.734 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.735 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.735 * [backup-simplify]: Simplify (- 0) into 0 15.735 * [backup-simplify]: Simplify (+ 0 0) into 0 15.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.736 * [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 15.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.737 * [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 15.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.739 * [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 15.741 * [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 15.741 * [taylor]: Taking taylor expansion of 0 in K 15.741 * [backup-simplify]: Simplify 0 into 0 15.741 * [backup-simplify]: Simplify 0 into 0 15.741 * [taylor]: Taking taylor expansion of 0 in K 15.741 * [backup-simplify]: Simplify 0 into 0 15.741 * [backup-simplify]: Simplify 0 into 0 15.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.743 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.744 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.744 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.745 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.745 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.746 * [backup-simplify]: Simplify (- 0) into 0 15.746 * [backup-simplify]: Simplify (+ 0 0) into 0 15.747 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.747 * [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 15.748 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 15.750 * [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 15.752 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 15.753 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 15.753 * [backup-simplify]: Simplify (- 0) into 0 15.753 * [backup-simplify]: Simplify (+ 0 0) into 0 15.754 * [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 15.756 * [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 15.756 * [taylor]: Taking taylor expansion of 0 in K 15.756 * [backup-simplify]: Simplify 0 into 0 15.756 * [backup-simplify]: Simplify 0 into 0 15.757 * [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)))))) 15.757 * * * [progress]: simplifying candidates 15.757 * * * * [progress]: [ 1 / 86 ] simplifiying candidate # 15.757 * * * * [progress]: [ 2 / 86 ] simplifiying candidate # 15.757 * * * * [progress]: [ 3 / 86 ] simplifiying candidate # 15.757 * * * * [progress]: [ 4 / 86 ] simplifiying candidate # 15.757 * * * * [progress]: [ 5 / 86 ] simplifiying candidate # 15.757 * * * * [progress]: [ 6 / 86 ] simplifiying candidate # 15.757 * * * * [progress]: [ 7 / 86 ] simplifiying candidate # 15.757 * * * * [progress]: [ 8 / 86 ] simplifiying candidate # 15.758 * * * * [progress]: [ 9 / 86 ] simplifiying candidate # 15.758 * * * * [progress]: [ 10 / 86 ] simplifiying candidate # 15.758 * * * * [progress]: [ 11 / 86 ] simplifiying candidate # 15.758 * * * * [progress]: [ 12 / 86 ] simplifiying candidate # 15.758 * * * * [progress]: [ 13 / 86 ] simplifiying candidate # 15.758 * * * * [progress]: [ 14 / 86 ] simplifiying candidate # 15.758 * * * * [progress]: [ 15 / 86 ] simplifiying candidate # 15.758 * * * * [progress]: [ 16 / 86 ] simplifiying candidate # 15.758 * * * * [progress]: [ 17 / 86 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))> 15.758 * * * * [progress]: [ 18 / 86 ] simplifiying candidate # 15.758 * * * * [progress]: [ 19 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 20 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 21 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 22 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 23 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 24 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 25 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 26 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 27 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 28 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 29 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 30 / 86 ] simplifiying candidate # 15.759 * * * * [progress]: [ 31 / 86 ] simplifiying candidate # 15.760 * * * * [progress]: [ 32 / 86 ] simplifiying candidate # 15.760 * * * * [progress]: [ 33 / 86 ] simplifiying candidate # 15.760 * * * * [progress]: [ 34 / 86 ] 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))))))> 15.760 * * * * [progress]: [ 35 / 86 ] simplifiying candidate # 15.760 * * * * [progress]: [ 36 / 86 ] simplifiying candidate # 15.760 * * * * [progress]: [ 37 / 86 ] simplifiying candidate # 15.760 * * * * [progress]: [ 38 / 86 ] simplifiying candidate # 15.760 * * * * [progress]: [ 39 / 86 ] simplifiying candidate # 15.760 * * * * [progress]: [ 40 / 86 ] simplifiying candidate # 15.760 * * * * [progress]: [ 41 / 86 ] simplifiying candidate # 15.760 * * * * [progress]: [ 42 / 86 ] simplifiying candidate # 15.760 * * * * [progress]: [ 43 / 86 ] simplifiying candidate # 15.761 * * * * [progress]: [ 44 / 86 ] simplifiying candidate # 15.761 * * * * [progress]: [ 45 / 86 ] simplifiying candidate # 15.761 * * * * [progress]: [ 46 / 86 ] simplifiying candidate # 15.761 * * * * [progress]: [ 47 / 86 ] simplifiying candidate # 15.761 * * * * [progress]: [ 48 / 86 ] simplifiying candidate # 15.761 * * * * [progress]: [ 49 / 86 ] simplifiying candidate # 15.761 * * * * [progress]: [ 50 / 86 ] simplifiying candidate # 15.761 * * * * [progress]: [ 51 / 86 ] simplifiying candidate #real (real->posit16 (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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))> 15.761 * * * * [progress]: [ 52 / 86 ] simplifiying candidate # 15.761 * * * * [progress]: [ 53 / 86 ] simplifiying candidate # 15.761 * * * * [progress]: [ 54 / 86 ] simplifiying candidate # 15.761 * * * * [progress]: [ 55 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 56 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 57 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 58 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 59 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 60 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 61 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 62 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 63 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 64 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 65 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 66 / 86 ] simplifiying candidate # 15.762 * * * * [progress]: [ 67 / 86 ] simplifiying candidate # 15.763 * * * * [progress]: [ 68 / 86 ] simplifiying candidate # 15.763 * * * * [progress]: [ 69 / 86 ] simplifiying candidate # 15.763 * * * * [progress]: [ 70 / 86 ] simplifiying candidate # 15.763 * * * * [progress]: [ 71 / 86 ] simplifiying candidate # 15.763 * * * * [progress]: [ 72 / 86 ] simplifiying candidate # 15.763 * * * * [progress]: [ 73 / 86 ] simplifiying candidate # 15.763 * * * * [progress]: [ 74 / 86 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))> 15.763 * * * * [progress]: [ 75 / 86 ] simplifiying candidate # 15.763 * * * * [progress]: [ 76 / 86 ] simplifiying candidate # 15.763 * * * * [progress]: [ 77 / 86 ] simplifiying candidate # 15.763 * * * * [progress]: [ 78 / 86 ] simplifiying candidate # 15.764 * * * * [progress]: [ 79 / 86 ] simplifiying candidate # 15.764 * * * * [progress]: [ 80 / 86 ] simplifiying candidate # 15.764 * * * * [progress]: [ 81 / 86 ] simplifiying candidate # 15.764 * * * * [progress]: [ 82 / 86 ] simplifiying candidate # 15.764 * * * * [progress]: [ 83 / 86 ] simplifiying candidate # 15.764 * * * * [progress]: [ 84 / 86 ] simplifiying candidate # 15.764 * * * * [progress]: [ 85 / 86 ] simplifiying candidate # 15.764 * * * * [progress]: [ 86 / 86 ] simplifiying candidate # 15.766 * [simplify]: Simplifying: (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 (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 (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 (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))))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 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)))))) 15.769 * * [simplify]: iteration 0: 92 enodes 15.805 * * [simplify]: iteration 1: 177 enodes 15.851 * * [simplify]: iteration 2: 443 enodes 16.201 * * [simplify]: iteration 3: 1632 enodes 16.840 * * [simplify]: iteration complete: 5001 enodes 16.840 * * [simplify]: Extracting #0: cost 35 inf + 0 16.841 * * [simplify]: Extracting #1: cost 191 inf + 3 16.844 * * [simplify]: Extracting #2: cost 619 inf + 1023 16.851 * * [simplify]: Extracting #3: cost 1465 inf + 5969 16.866 * * [simplify]: Extracting #4: cost 1829 inf + 22196 16.879 * * [simplify]: Extracting #5: cost 1484 inf + 74584 16.935 * * [simplify]: Extracting #6: cost 760 inf + 281600 17.064 * * [simplify]: Extracting #7: cost 136 inf + 517765 17.219 * * [simplify]: Extracting #8: cost 7 inf + 567452 17.366 * * [simplify]: Extracting #9: cost 0 inf + 567729 17.506 * * [simplify]: Extracting #10: cost 0 inf + 567289 17.682 * [simplify]: Simplified to: (log (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (exp (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (* (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (* (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1) (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (fabs (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) 1 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)) 1 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)) (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))) 1)) (sqrt (+ (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))))) (sqrt (- 1 (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))))) (sqrt (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))) 1/2 (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (real->posit16 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (log (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (exp (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (* (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (* (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1) (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (fabs (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) 1 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)) 1 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)) (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ 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(sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))) 1))) (sqrt (sqrt (+ (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))) (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))))) (sqrt (sqrt (- 1 (* (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))))))) (sqrt (sqrt (- 1 (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))))))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2)))) 1)))) 1 (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))) 1 (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))) 1 (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))) 1 (exp (+ (* 1/2 (+ (- (log J)) (log U))) (* 1/4 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))))) (exp (+ (* (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) 1/4) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 17.701 * * * [progress]: adding candidates to table 18.464 * [progress]: [Phase 3 of 3] Extracting. 18.464 * * [regime]: Finding splitpoints for: (# # # # # # # #) 18.470 * * * [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) 18.470 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # #) 18.570 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # #) 18.656 * * * * [regimes]: Trying to branch on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) from (# # # # # # # #) 18.788 * * * * [regimes]: Trying to branch on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) from (# #) 18.872 * * * * [regimes]: Trying to branch on U from (# # # # # # # #) 18.990 * * * * [regimes]: Trying to branch on K from (# # # # # # # #) 19.105 * * * * [regimes]: Trying to branch on J from (# # # # # # # #) 19.225 * * * [regime]: Found split indices: #